# Problem-Solving Models

### Topic Page

Problem-Solving Models### Questions

- What are the steps to solving a word problem?
- Where do I start when I'm trying to solve a word problem?
- How do you check a solution to a problem?
- What are the different strategies used to solve a word problem?
- What is the best method of determining the cost of downloading 26 movies, if it cost $2.25 to download 2 movies?
- How do you solve word problems involving percents?
- What are commonly used math terms that translates to addition, subtraction, multiplication, and division?
- How much pure antifreeze should be added to 3 gallons of a 30 percent antifreeze solution to get 65 percent antifreeze?
- How would you use equations to calculate the age of Al given that Al's father is 45 and he is 15 years older than twice Al's age?
- How do you solve #x=(y-1)/(y+1)# for y?
- What 4 numbers when added is 7.11 and when multiplied still give 7.11?
- My cousin, Ravi, is three times younger than me, but two and a half times older than my daughter. If our total ages are 66, how old is my cousin?
- The price of coffee rose by 20% and is now $5.40 per jar. How do you find the cost of the same jar before the rise of the price?
- A car rental company charges $13 dollars a day and 8 cents a mile to rent a car. If a customer rented a car for 4 days and the total bill was $199.68, including a 4% sales tax, how many miles did she drive?
- How do you solve for b in #a = 2b#?
- Question #c082e
- How do you solve #16=2^(x+1)#?
- How do you solve #(1/1000)^(-1/3)#?
- In triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 52 greater than that of angle A. How do you find the measure of the angles?
- A small pipe takes 24 minutes longer to fill a tank than it takes a large pipe. The two pipes together can fill the tank in 9 minutes. How long does it take each pipe alone to fill the tank?
- A woman cycles 8 mi/hr faster than she runs. Every morning she cycles 4 mi and runs 2 1/2 mi, for a total of one hour of exercise. How fast does she run?
- On a 600-mile trip, Andy averaged 5 miles per hour faster for the last 128 miles than he did for the first 472 miles. The entire trip took 10 hours. How fast did he travel for the first 472 miles?
- Larry's time to travel 364 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 3 miles per hour faster than Larry. How fast did each one travel?
- The perimeter of a rectangle is 10 inches, and its area is 6 square inches. Find the length and width of the rectangle?
- John can drive 240miles at the same time as it takes george to drive 220 miles if john drives 5mph faster than george then how fast does john drive?
- It took a crew 2 hours 40 minutes to row 6 km upstream and back again. If the rate of flow of the stream was 3 km/h, what was the rowing speed of the crew in still water?
- How do you find a number such that two-thirds of the number increased by one is nine?
- Tracy invested 6000 dollars for 1 year, part at 10% annual interest and the balance at 13% annual interest. Her total interest for the year is 712.50 dollars. How much money did she invest at each rate?
- How do you solve b in the formula 3a + 2b = c?
- The perimeter of a regular pentagon is 77.5 cm. What is the length of each side?
- A regular hexagon has a side length of 2 1/4 feet. What is its perimeter?
- The perimeter of a regular hexagon is 27 inches. What is the length of each side?
- The lengths of the sides of triangle ABC are 3 cm, 4cm, and 6 cm. How do you determine the least possible perimeter of a triangle similar to triangle ABC which has one side of length 12 cm?
- A equilateral triangle measures 3 1/2 inches on one side. what is the perimeter of the triangle?
- What is the perimeter of an equilateral triangle if the length of an altitude is 5/sqrt3?
- If the area of triangle A, with sides of 6, 8, and 10, equals the area of rectangle B, with width of 4, what is the perimeter of the rectangle?
- The width of a rectangular playground is 2x-5 feet, and the length is 3x + 9 feet. How do you write a polynomial P(x) that represents the perimeter and then evaluate this perimeter and then evaluate this perimeter polynomial if x is 4 feet?
- The perimeter of an equilateral triangle is 7in more than the perimeter of a square, the side of the triangle is 5 in. longer than the side of the square, how do you find the length of each side of the triangle?
- What is the area of an equilateral triangle that has a perimeter of 18 centimeters?
- The perimeter of a triangle is 48 inches and the sides are in the ratio of 3:4:5. How do you find the length of the longer?
- An equilateral triangle has a perimeter of 18 units. How do you find the area?
- What is the perimeter and area of a triangle that measures 5, 5, and 5 square root 2?
- The perimeter of a triangle is 7a - 11b. If two of its sides are 2a + b and a - 9b, what is the third side?
- Two similar triangles have a scale factor of 1:3. If the perimeter of the smaller triangle is 27, what is the perimeter of the larger?
- The sides of a triangle are represented by x, 3x, and 3x + 2. How do you find each side if the perimeter is 37?
- One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle?
- The area of a triangle is 16 more than the base. If the height is 6, what is the length of the base?
- A square and an equilateral triangle have the same perimeter. Each side of the triangle is 16 m. How do you find the length of each side of the square?
- The length of a rectangle is twice its width. The perimeter is 60 ft. How do you find its area?
- Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. How do you find the measure of each angle of the triangle?
- An angle is 25° less than the measure of its complement. What is the measure of the smaller angle?
- Three sides of a triangle measure 4,5 and 8. How do you find the length of the longest side of a similar triangle whose perimeter is 51?
- The perimeter of an equilateral triangle is 45 centimeters. How do you find the length of an altitude of the triangle?
- Points D(-4, 6), E(5, 3), and F(3, -2) are the vertices of triangle DEF. How do you find the perimeter of the triangle?
- What is the perimeter and area of a right triangle with a hypotenuse of 26 and a leg of 24?
- The perimeter of a triangle is 18 feet. The second side is two feet longer than the first. The third side is two feet longer then the second. What are the lengths of the sides?
- The lengths of the sides of a triangle are in the extended ratio 6:7:9, the perimeter of the triangle is 88 cm, what are the lengths of the sides?
- A square has a perimeter of 12 centimeters. How do you find the length of the diagonal of the square?
- A rectangle has one side 5 inches and a diagonal of 15 inches. How do you find the perimeter of the rectangle?
- How do you find the area of an equilateral triangle if the perimeter is 36ft?
- The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. How do you find the lengths?
- The length of a triangle is 3 times it width. The perimeter of the rectangle is 48. How do you find its area?
- How do you find the perimeter of a triangle with vertices X(3, 0), Y(7, 4), and Z(10, 0)?
- What is the perimeter of a triangle, who has a circle inscribed in it with a radius of 4.2?
- How do you find the perimeter of a triangle the sides are 3x, 4x, and 5x, if the x= 8 inches?
- The sides of a triangle are consecutive integers. If the perimeter of the triangle is 192 cm, how do you find the length?
- A triangle has 3 sides 3x+7,4x-9,5x+6. How do you find the expression that represents its perimeter?
- What is the area of an equilateral triangle with a perimeter of 21 inches?
- Two corresponding sides of two similar triangles are 6cm and 14cm. If the perimeter of the first triangle is 21cm, how do you find the perimeter of the second triangle?
- How do you find the perimeter of a triangle whose sides are 1/3, 1/4, and 5/12 inches respectively?
- A triangle ABC, right angled at B, is inscribed with a circle having 4cm diameter. The side BC is 5cm. What is the perimeter of the triangle?
- The length of a rectangle is 3 times its width. If the perimeter of the rectangle is 48 inches, how do you find the length?
- A right triangle has coordinates (-2,2) , (6,8) and (6,2). What is the perimeter of the triangle?
- How do you find the perimeter of a triangle if the altitude of an equilateral triangle is 32cm?
- How do you find the perimeter and area of a right triangle if the shortest side is 9cm and the longest side is 15cm?
- What is the area and perimeter of an equilateral triangle with height 2?
- What is the perimeter of a triangle with the following sides: #(-5x^2+9x), (7x^2+7), (3x-5)#?
- The perimeter of a triangle is 29 mm. The length of the first side is twice the length of the second side. The length of the third side is 5 more than the length of the second side. How do you find the side lengths of the triangle?
- The Perimeter of a Rectangular pig pen is 210Ft. The length is 5ft greater then the width. How do you find the Length?
- If you subtract -46 from twice a number, the result is 548. How do you find the Number?
- The perimeter of a triangle is 465cm. The length of the sides are consecutive integers. How do you find the length of the smallest side?
- If you Add 2 to four times the length of the Amazon river, the result is 25,750. How do you find the length of the river?
- The ratio of one side of Triangle ABC to the corresponding side of similar Triangle DEF is 3:5. If the perimeter of Triangle DEF is 48 inches, what is the perimeter of Triangle ABC?
- How do you find the perimeter of a triangle when the sides are #4, 12, and sqrt28#?
- If the integer lengths of the three sides of a triangle are 4, x and 9, what is the least possible perimeter?
- What is the perimeter of an equilateral triangle whose area is 25 sqrt3?
- What is the altitude of an equilateral triangle whose perimeter is 12?
- An isosceles triangle has an altitude of 8cm. Its perimeter is 32cm. How can we find its area?
- What is the area of a triangle with the vertices at (-1,-1) , (3,-1) . and (2,2)?
- The ratio of the side lengths of an isosceles triangle is 4:4:7, and its perimeter is 52.5cm. What is the length of the base of the triangle?
- The perimeter of an equilateral triangle is 24. What is the area?
- What is the perimeter of a triangle with each side being 3/8cm?
- Sawyer bought a T-shirt for $12.78 and shorts for $17.97. The sales tax rate was 6%. About how much money did Sawyer spend altogether?
- A boy was going home for 12km. We went 2km/h faster than last time and now spent 1 hour less on the road. How fast was the boy going?
- Question #8439c
- A pair of jeans is on sale for 25% off the original price. Which expression represents the sale price? If the original price of the jeans is $40, evaluate the expression to find the sale price?
- There are 31 tickets for line leader, 10 tickets for paper passer and 19 tickets for book collector. If ray select a ticket from a box. What is the probability that he will pull out a ticket for Line Leader?
- The units digit of the two digit integer is 3 more than the tens digit. The ratio of the product of the digits to the integer is 1/2. How do you find this integer?
- Two cars were 539 miles apart and started traveling towards each other on the same road at the same time. One car is going at 37 miles per hour, the other is going at 61 miles per hour. How long did it take for the two cars to pass each other?
- A boat travels upstream, against the current, at a speed of 4 miles per hour. On the return trip, the boat travels downstream, with the current, at 10 miles per hour. The speed of the current remains constant. What is the speed of the current?
- A rectangular shed is 3m long, 2m wide, and 2m high. If each dimension is increased by the same amount, the volume is doubled. How do you find to the nearest tenth of a meter the amount by which each dimension is increased?
- Marcy has total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?
- In a canoe race, a team paddles downstream 560 meters in 70 seconds. The same team makes the trip back upstream to the starting point in 80 seconds. How do you write a system of two equations in two variables that models this problem?
- You have 188 feet of fencing to enclose a rectangular region. What is the maximum area?
- Josh has a 19-foot ladder leaning against his house. If the bottom of the ladder is 2 feet from the base of the house, how high does the ladder reach?
- An oil painting is 10in. longer than it is wide and is bordered on all sides by a 3in. wide frame. If the area of the frame alone is 402in^2, what are the dimensions of the painting?
- Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
- Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. How do you find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm?
- With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours and 20 minutes. How do you find the speed of the plane and the wind?
- A farmer can plow the field in 8 days. After working for 3 days, his son joins him and together they plow the field in 3 more days. How many days will it require for the son to plow the field alone?
- Sara used 34 meters of fencing to enclose a rectangular region. To be sure that the region was a rectangle, she measured the diagonals and found that they were 13 meters each. What are the length and width of the rectangle?
- A 70% salt solution was diluted with purified water to produce about 50 liters of 55% salt solution. Approximately how much purified water was used?
- During a party a total of 78 handshakes occurred. If each person shook hands once with each of the other people , how many people were at the party?
- Three times the greatest of three consecutive even integers exceeds twice the least by 38. How do you find the integers?
- In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually receive?
- Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 11%. His total annual income from the two investments was $3990. How much was invested at 11%?
- The length of a rectangle is 5 cm more than 4 times its width. If the area of the rectangle is 76 cm^2, how do you find the dimensions of the rectangle to the nearest thousandth?
- The height h in feet of an object after t seconds is given by the fraction h = -16t^2 + 30t + 8. How long will it take the object to hit the ground? Round answer to the nearest thousandth?
- In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old as Maya will be 10 years from now. How old are they now?
- Two bicyclists ride in opposite directions. The speed of the first bicyclist is 5miles per hour faster than the second. After 2hours they are 70miles apart. How do you find their rates?
- The sum of two numbers is 82. Their difference is 24. How do you write a system of equations that describes this situation and solve by elimination to find the two numbers?
- Walt made an extra $10,000 last year from a part-time job. He invested part of the money at 8% and the rest at 7%. He made a total of $760 in interest. How much was invested at 7%?
- Henry can paint a kitchen in 20 hours and his assistance can do it in 30 hours. How long will it take them together?
- Jack can paint the bedroom in 12 hours, and Rick can do it in 10 hours. They work together for three hours. How long will it take Jack to finish the job alone?
- Charles can shovel the snow off his driveway in 40 minutes. He shovels for 20 minutes and then is joined by Joaney. If they shovel the remaining snow in 10 minutes, how long would it have taken Joaney to shovel the driveway alone?
- Brett usually takes 50 minutes to groom the horses. After working 10 minutes he was joined by Kathy and they finished the grooming in 15 minutes. How long would it have taken Kathy working alone?
- Over a 6 month period, a bakery sold an average of 29 pies per day. The number of apple pies they sold was four less than twice the number of blueberry pies they sold. How many blueberry pies did the bakery average selling per day during that period?
- You invested $4000, part at 5% and the remainder at 9% annual interest. At the end of the year, the total interest from these investments was $311. How much was invested at each rate?
- A solution of 54% alcohol is to be mixed with a solution of 22% alcohol to form 64 liters of a 42% solution. How many liters of the 54% solution must be used?
- You have 76 feet of fencing to fence an area in the yard. The area must have right angle corners. You can use the side of your home which is 85 feet long. What is the largest are you can fence in?
- A picture 11 inches by 15 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the boarder be if the area of the mounted picture is 285 square inches?
- A paddleboat can travel 60 miles upstream in the same time it takes to travel 140 miles downstream. If the current of the river is 10 mph, what is the speed of the paddleboat in still water?
- Prior to making deposits of $75 and $50, marian had a balance of $102 in her checking account. How much must she deposit so that her balance will be at least $300 and she can avoid a service fee?
- For a school play, one adult ticket cost $5 and one student ticket cost $3. Twice as many student tickets as adult tickets were sold. The total receipts were $1650. How many of each kind of ticket were sold?
- How much 90 percent vinegar do you have to add to a gallon of 5 percent vinegar to get 20 percent vinegar?
- To earn an A in a course, you must have a final average of at least 90%. On the first 4 exams, you have grades of 86%, 88%, 92%, and 84%. If the final exam is worth 2 grades, what must you get on the final to earn an A in the course?
- Rico invests some of his savings at 3 percent per year & an equal amount at 5 percent per year. His income totals 1,800 a year. How much did Rico invest at each rate?
- Mr. Gonzales invested 10,000 more than her husband did. If they both invested the money at 5 percent per year & their combined income from their investments was 4,000, how much did they invest each?
- The sum of two numbers is 72. One of the numbers is six more than twice the other. What are the two numbers?
- If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
- A 42-gram weight and a 18-gram weight are placed on opposite sides of a beam, each at a distance of 15 centimeters from the fulcrum. Where should a 60-gram weight be placed to balance the beam?
- M and B leave their campsite and walk in opposite directions around a lake. If the shoreline is 15 miles long, M walks 0.5 miles per hour faster than B and they meet in 2 hours...how fast does each walk?
- H wishes to move a rock by using an 8-foot steel bar placed on a fulcrum 18 inches from the rock, How much force must she apply on the long end to lift the rock which weighs 858 pounds?
- A golf club manufacturer makes drivers with 4 different shaft lengths, 3 different lofts, 2 different grips, and 2 different club head materials. How many different combinations are possible?
- A customer left $20 for a meal that cost 16.95. How much was the tip? What percent of the cost of the meal is the amount of the tip?
- Suppose that the width of a certain rectangle is 1 inch more than one-fourth of its length. The perimeter of the rectangle is 42 inch. How do you find the length and width of rectangle?
- The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
- Tickets to a local movie were sold at $4.00 for adults and $2.50 for students. If 173 tickets were sold for a total price of $642.50, how many student tickets were sold?
- The data items in a list are 75,86,87,91, and 93. What is the largest integer you can add to the list so that the mean of six items is less than their median?
- Hockey teams’ receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 56 points. They won 10 more games than they tied. How many wins and how many ties did the team have?
- Mac and his brother Ted collect coins. Mac's collection contain 8 more than twice as many as Ted's. If the total number of coins in the two collections is 74, how many coins are in each collection?
- How do you find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement?
- Ann is 12 years old. Her mother is 3 times as old as Ann. How many years ago was her mother 4 times as old as Ann?
- It takes 7 minutes to fill a bathtub using coldwater faucet alone. It takes 12 minutes using the hot water faucet alone. How long will it take to fill the tub using both?
- Company A can set up the gymnasium for a banquet in 3 hours. Company B needs 5 hrs to do the same job. How long would it take them working together, to set up the gymnasium?
- One car model costs $12,000 & costs and average of $.10 to maintain. Another car model costs $14,000 & costs ab average of $.08 to maintain. If each model is driven the same # of miles, after how many miles would the total cost be the same?
- You & your friends go to a mexican restaurant. U orders 2 tacos & 3 enchiladas & your friends orders 3 tacos & 5 enchilada! 1 bill was $7.50, & the other bill was $12.70. How much was each taco & each enchilada?
- A lab has 20% acid solution and a 50% acid solution. How many liters of each are required to obtain 600 liters of a 30% acid solution?
- Sue has red apples worth 2.30$ per pound and green apples worth 1.90$ a pound How many pounds of each should she mix to get a mixture of 20 pounds worth 2.06$ per pound?
- The perimeter of a square is 12 cm greater than that of another square. Its area exceeds the area of the other square by 39 sq cm. How do you find the perimeter of each square?
- Jeremy had 34 nickels and quarters totaling $4.10. He had two less than twice as many nickels as quarters. How many of each did he have?
- Tehira has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take to finish?
- A Waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?
- You use 6 3/4 c of sugar while baking muffins and nutbread for a class party. You used a total of 1 1/2 c of sugar for the muffins. Your nutbread recipe calls for 1 3/4 c of sugar per loaf. How many loaves of nutbread did you make?
- A farmer has pigs and chickens. She counted 140 eyes and 200 legs. How many pigs and how many chickens were there?
- Ariel has 19 more CDs than her sister Tiffany has. victor has 3 times as many CDs as Ariel has. Which expression can be used to show how many CDs the three have in total?
- A jeweler has five rings, each weighing 18g, made of 5% silver and 95% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should he add?
- A book is lying open on a desk. The product of the page numbers is 930. What are the two page numbers?
- A number is divided by 4, and then the quotient is added to 17. The result is 25. How do you find the number?
- In the Trivia Bowl, each finalist must answer four questions correctly. Each question is worth twice as much as the question before it. The fourth question is worth $6000. How much is the first question worth?
- Jerry was 1/3 as young as his grandfather 15 years ago. If the sum of their ages is 110, how old is Jerry's grandfather?
- Suppose a fuel mixture is 5% ethanol and 95% gasoline. How much ethanol (in gallons) must you add to one gallon of the fuel so that the new fuel mixture is 10% ethanol?
- A 2% solution of sulfuric acid was mixed with a 12% solution of sulfuric acid to produce an 8% solution. How do you determine how much 2% solution and how much 12% solution were used to produce 10 gallons of 8% solution?
- A rectangle has width 2^(1/3)m and length 4^(1/3)m. What is the area of the rectangle?
- The formula for the volume of a cone is #V= 1/3 pi r^2h# with #pi =3.14# . How do you find the radius, to the nearest hundredth, of a cone with a height of 5 in. and a volume of #20" in"^3#?
- One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by 2 times the second number, the result is 11. Use the substitution method. What is the first number?
- An investor bought 3 shares of stock A and 2 shares of stock B for a total of $41. Stock A costs $2.00 more per share than stock B. What is the cost of a share of stock A in dollars?
- The sum of two numbers is 900. When 4% of the larger is added to 7% of the smaller, the sum is 48. How do you find the numbers?
- Pat bought 6 shirts that were all the same price. He used a traveler's check for $25, and then paid the difference of $86. What was the price of each shirt?
- John inherited $5,000 from his grandfather. He put it in a savings account to buy a car when he turns 16. John is 13 right now. If his savings account earns 7% over the next 3 years, how much interest will he have earned?
- What is #0.24# in percent form?
- What number divided by -7 is equal to -15?
- Three consecutive integers add up to 24. What are they?
- Three consecutive EVEN integers add up to 30. What are the numbers?
- Four consecutive integers add up to 54. What are the numbers?
- Two consecutive odd integers add up to 76. What are the numbers?
- Four consecutive even integers add up to 52. What are the numbers?
- Three consecutive odd integers add up to 129. What are the numbers?
- Five consecutive integers add up to 85. What are the numbers?
- Four consecutive odd integers add up to 64. What are the numbers?
- For each number from 1 to 35, how do you find all the ways to write it as a sum of two or more consecutive numbers?
- How do you find three consecutive odd integers with the sum of 273?
- How do you find four consecutive even integers such that 4 times the sum of the first and second is 12 more than 6 times the fourth?
- The sum of three consecutive integers is 216. What is the largest of the three integers?
- How do you find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 25?
- How do you find four consecutive integers such that 2 times the sum of the first and fourth is 24 less than 6 times the third?
- If 48 as a product of 2 consecutive even numbers, what are the two numbers?
- The product of two consecutive integers is 98 more than the next integer. What is the largest of the three integers?
- The product of two consecutive integers is 482 more than the next integer. What is the largest of the three integers?
- What four consecutive integers have a sum of 26?
- How do you find four consecutive integers whose sum in twice the cube of 5?
- Three consecutive odd integers have a sum of -45. What are the integers?
- If 645 is written as the sum of fifteen consecutive integers, what is the largest of the addends?
- What four consecutive integers have a sum of 66?
- How do you find two consecutive integers whose sum is 211?
- How do you find four consecutive integers whose sum is 366?
- How do you find two consecutive integers whose sum is 68?
- The sum of three numbers is 137. The second number is four more than, two times the first number. The third number is five less than, three times the first number. How do you find the three numbers?
- There are three consecutive positive integers such that the sum of the squares of the smallest two is 221. What are the numbers?
- The sum of four consecutive integers is -2. What are the 4 integers?
- The sum of 3 consecutive integers is 90. What are the 3 integers?
- The sum of two consecutive integers is 47. What are the 4 integers?
- The two consecutive positive integers has a product of 272? What are the 4 integers?
- What are three odd consecutive integers whose sum is 159?
- The sum of the square of three integers is 324. How do you find the integers?
- The product of two integers is 150. One integer is 5 less than twice the other. How do you find the integers?
- How do you find a set of two consecutive integers whose sum is equal to the next integer immediately following them?
- How do you find a set of three consecutive integers whose sum is equal to the sum of the next two consecutive integers immediately following them?
- How do you find a set of four consecutive integers whose sum is equal to the sum of the next three consecutive integers immediately following them?
- What 2 consecutive integers have a sum of 39?
- The sum of 4 consecutive integers is 46. What are the numbers?
- The sum of 3 consecutive even integers is 102. What are the numbers?
- The sum of three consecutive integers is 135. What are the numbers?
- What three consecutive integers have a sum of -33?
- The sum of two consecutive even integers is 26. What are the numbers?
- The sum smaller and the larger of three consecutive even integers is 20. What are the 3 integers?
- The sum of 4 consecutive numbers is 130, how do you find the 4 numbers?
- The product of two consecutive integers is 80 more than 15 times the larger integer. What are the integers?
- The product of two consecutive even integers is 50 more than three times the larger integer. What are the integers?
- The product of two consecutive odd integers is 22 less than 15 times the smaller integer. What are the integers?
- The sum of four consecutive integers is -42. What are the numbers?
- The sum of nineteen consecutive integers is 2014. What is the smallest of the integers?
- The product of two consecutive integers is 56. How do you find the integers?
- The sum of three consecutive even integers is 54. How do you find the integers?
- The product of two consecutive even integers is 168. How do you find the integers?
- The sum of the squares of two consecutive positive integers is 13. How do you find the integers?
- If the sum of two consecutive even integers is 114. How do you find the integers?
- The sum of 3 consecutive integers is -30. What are the numbers?
- What are three consecutive integers that add up to 105?
- How do you find the two consecutive integers whose sum is 223?
- If the sum of the squares of three consecutive integers is 194, what are the numbers?
- The sum of two consecutive integers is 35, what are the numbers?
- The product of the reciprocal of 2 consecutive integers is 1/30. What are the numbers?
- The product of two consecutive integers is 210. What are the numbers?
- The sum of two consecutive even integers is 50. What are the numbers?
- The sum of two consecutive integers is -247. What are the numbers?
- What is the sum of two consecutive even integers that is 134?
- The sum of 5 consecutive integers is 1,000. What are the numbers?
- What 3 consecutive integers add up to 100?
- What is the sum of the first 100 consecutive positive integers?
- What is the greatest of 5 consecutive integers if the sum of these integers equals 185?
- The sum of two consecutive integers is 118. What are the numbers?
- When the sum of four consecutive even integers is divided by 7, the result is 4. How do you find the integers?
- How do you find four consecutive multiples of 5 whose sum is 90?
- How do you find three consecutive multiples of 3 if twice the second is 12?
- How do you find three consecutive integers if twice the middle integer is equal to the sum of the first and third?
- How do you find four consecutive integers that equal the sum of 144?
- The sum of two consecutive integers is 37. What are the numbers?
- What is the first consecutive even integer that follows –6?
- The sum of three consecutive odd integers is 48, how do you find the largest integer?
- The sum of three consecutive even integers is 180. How do you find the numbers?
- How do you find two consecutive even integers whose products is 728?
- What 2 consecutive integers have a sum of -105?
- How do you find three consecutive integers whose sum is 108?
- The sum of two consecutive even integers is 250. What are the numbers?
- How do you find the two consecutive integers that add to 87?
- What is the sum of three consecutive even integers is -360?
- The product of two consecutive even integers is 1088. What are the numbers?
- How do you find three consecutive integers whose sum is -93?
- How do you find three consecutive integers such that the sum of twice the largest and the fourth power of the smallest is equal to the square of the remaining integer increased by 243?
- How do you find three consecutive odd integers whose sum of the second and third integers is three less then three times the first integer?
- The difference of the reciprocals of two consecutive integers is 1/72. What are the two integers?
- The sum of three consecutive even integers is 72. What are the three integers?
- How do you find the smallest of three consecutive integers whose sum is less than 86?
- Three consecutive integers have the sum of 153. What are the numbers?
- How do you find three consecutive even integers whose sum is 138?
- What 4 consecutive even integers whose sum is 140?
- The sum of two consecutive number is 63. What are the numbers?
- The sum of three consecutive integers is 72. What are the numbers?
- The sum of 3 consecutive integral numbers is 117. What are the numbers?
- The sum of 2 consecutive even integers is at most 400. What are the numbers?
- How do you find two consecutive integers whose sum is 45?
- The sum of two consecutive integers is −13. What are the numbers?
- The sum of two consecutive integers is 169, how do you find the two integers?
- What are 3 consecutive numbers whose sum is 54?
- The sum of three consecutive odd integers is -87. What are the integers?
- The sum of three consecutive integers is 582. What are the integers?
- The sum of three consecutive integers is -75. What are the integers?
- What are three consecutive numbers that add up to 48?
- The sum of the squares of two consecutive positive integers is 25. What are the integers?
- The numbers on three raffle tickets are consecutive integers whose sum is 7530. What are the integers?
- How do you find the two consecutive even integers whose product is 840?
- The product of two consecutive positive integers is 120. How do you find the integers?
- The sum of two consecutive even integers is 118. How do you find the integers?
- The sum of three consecutive integers is 15. What are the integers?
- The sum of three consecutive numbers is 138. What are the integers?
- The sum of three consecutive integers is 267. What are the three integers?
- The sum of two consecutive integers is 49. What are the integers?
- How do you find two consecutive integers whose sum is -14?
- The sum of two consecutive integers is 71. What are the integers?
- How do you find three consecutive even integers whose sum is 48?
- How do you find two consecutive even integers that have a sum of 450?
- How do you find two consecutive odd integers whose sum is 116?
- The sum of two consecutive positive integers is 85. How do you find the integers?
- The product of two consecutive negative integers is 1122. How do you find the integers?
- The sum of four consecutive integers is 2174. How do you find the numbers?
- If the average of 5 consecutive integers is 12, what is the sum of the least and greatest of the 5 integers?
- How do you find three consecutive integers whose sum is -30?
- What two consecutive numbers are equal to 100?
- The length of the sides of a triangle can be represented as consecutive even integers. If the perimeter of the triangle is 54 cm, what are the lengths of the three sides?
- How do you find three consecutive odd integers if three times the middle integer increased by the largest is 38?
- The sum of four consecutive integers is 74. What is the first integer?
- The product of four consecutive integers is divisible by 13 and 31? what are the four consecutive integers if the product is as small as possible?
- What are three consecutive number whose sum is 111?
- The sum of three consecutive integers equal 417. What are the integers?
- How do you find two consecutive, negative integers whose product is 156?
- Question #c7b2b
- Question #4be82
- In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
- The length of a rectangle is four times the width. The area is 1444. How do you find the width and length?
- The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width and the figure becomes a square with an area of 361 square inches. What are the dimensions of the original figure?
- A square fishpond has an area of 68 square feet. To the nearest tenth of a foot, what is the length of one side of the fishpond?
- A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. About much molding does he need?
- For a given right triangle one side is 19cm and the other is 18cm. What is the missing measurement?
- How do you find two positive numbers whose product is 144 and whose sum is a minimum?
- What is the sum of all two-digit whole numbers whose squares end with the digits 21?
- Question #f312d
- Given #z=((i)^i)^i# calculate #abs z# ?
- If #abs(z+1/z) = 1#, then what is the maximum possible value of #abs(z)# ?
- Question #2801c
- Marcy has total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?
- Jack usually mows his lawn in 4 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together?
- A long distance trucker traveled 120 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time. How do you find the speed going?
- Sam's tractor is just as fast as Gail's. It takes sam 2 hours more than it takes gail to drive to town. If sam is 96 miles from town and gail is 72 miles from town, how long does it take gail to drive to town?
- #10cm^3# of normal specimen of human blood contains 1.2g of hemoglobin. How many grams does #35cm^3# of the same blood contain?
- To determine the number of deer in a game preserve, a conservationist catches 658 deer, tags them and lets them loose. Late, 558 deer are caught; 186 of them are tagged. How many deer are in the preserve?
- A bus traveling at an average rate of 30 miles per hour left the city at 11:45 A.M. A car following the bus at 45 miles per hour left the city at noon. At what time did the car catch up with the bus?
- Alessia is paid 1.4 times her normal hourly rate for each hour she works over 30hrs in a week. Last week she worked 35 hours and earned $436.60. How do you write and solve an equation to solve Alessia hourly rate?
- Lydia rode 243 miles in a three-day bike trip. On the first day, Lydia rode 67 miles. On the second day, she rode 92 miles. How many miles per hour did she average on the third day if she rode for 7 hours?
- One number is four times another. the larger number is also 87 more than the smaller number. How do you find the numbers?
- A clown weighs 60 lb more than a trapeze artist. The trapeze artist weighs two thirds as much as the clown. How much does each weigh?
- The ninth grade class has 17 more girls than boys. There are 431 in all. How many boys are there? How many girls are there?
- Western State College is 18 years older than Southern State. Western is also 2 1/2 times as old as Southern. How old is each?
- Tehira has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take to finish?
- Rico invests some of his savings at 3 percent per year & an equal amount at 5 percent per year. His income totals 1,800 a year. How much did Rico invest at each rate?
- There are 3 times as many pears as oranges. If a group of children receive 5 oranges each, there will be no oranges left over. If the same group of children receive 8 pears each, there will be 21 pears left over. How many children and oranges are there?
- Julie wants to make 800g of a 15%alcohol solution by mixing a 20% solution and a 40%solution. How many grams of each kind does she need?
- A Store mixes Brazilian coffee worth $12 per kg and Turkish coffee worth $15kg. A mixture of both sells for $14 per kilogram. How much of each does it take to make a 336 kg mixture?
- Sal has quarters, dimes and nickels. She has 52 coins total. She has 3 more quarters than dimes and 5 fewer nickels than nickels. How many dimes does she have?
- A bag of mayonnaise has 14 grams. It has 11 grams of fat- what percent of fat does it have to the nearest tenth?
- Ashley deposits $500 into an account that earns 2% interest compounded 3 times per year. How much money will Ashley have in her account after 4 years?
- Andrew buys a house for $65,000, and the value of the house increases at a rate of 2% per year. How much will the house be worth in 8 years?
- Marianne buys a house for $150,000, and the value of the house increases at a rate of 1.2% per year. How much will the house be worth in 10 years?
- Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years?
- Tonya buys a car for $23,000. The value of the car decreases at a rate of 3% per year. How much will the car be worth in 5 years?
- I have 20 more nickels than I have dimes. If the sum of money I have is $8.50, how many coins of each type do I have?
- A chocolate chip cookie recipe asks for one and one quarter times as much flour as chocolate chips. If three and five eighths cups of flour is used, what quantity of chocolate chips would then be needed, according to the recipe?
- Maria, an experienced shipping clerk, can fill a certain order in 14 hours. Jim, a new clerk, needs 17 hours to do the same job. Working together, how long will it take them to fill the order?
- Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 5 days. How long would it take for each Person A and Person B to paint the house?
- Jenny can cut and split a cord of firewood in 6 fewer hours than Steve can. When they work together, it takes them 4 hours. How long would it take each Jenny and Steve to do the job alone?
- The speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?
- Mr. Lee can paint 20 chairs in t hours. He uses 3 liters of paint for every 12 chairs that he painted. How do you find, in terms of t, the number of chairs that he can paint in 3 hours?
- Mrs. Roberts sewed m shirts using 2 yards of cloth for each shirt. She also sewed (m + 2) dresses, using 5 yards of cloth for each dress. How much cloth did she use altogether?
- A number is 3 more than 4 times the sum of its digits. If the digits are interchanged, the resulting number is 9 more than the given number. How do you find the Number?
- With optional equipment, an automobile cost $9120. If the cost of the basic car is $120 more than 4 times the price of the optional equipment, what was the cost of the basic car?
- How do you find the sum of the first 5000 natural numbers?
- The sum of three numbers is 98. The ratio of the first to the second is 2/3 and the ratio of the second to the third is 5/8. What is the second number?
- The angles of a hexagon have degree measures that are consecutive odd integers. What is the degree measure of the largest angle?
- You have a open box that is made from a 16 in. x30 in. piece of cardboard. When you cut out the squares of equal size from the 4 corners and bending it. What size should the squares be to get this box to work with the largest volume?
- A boat can travel 8 mph in still water. If it can travel 15 miles downstream in the same time that it can travel 9 miles up the stream, what is the rate of the stream?
- Twice Albert's age plus Bob's age equals 75. In three years, Albert's age and Bob's age will add up to 64. How do you find their ages?
- One-third of a number is 5 less than half of the same number. What is the number?
- With a tail wind, a small plane can fly 600 miles in 5 hours. Against the same wind, the plane can fly the same distance in 6 hours. How do you find the average wind speed and the average airspeed of the plane?
- A cyclist travels M km at V km/h and N km at U km/h. How do you the average speed of the cyclist?
- A boy is three years younger than his sister. If his age three years ago was two-thirds her age at that time, what are their present ages?
- The length of a rectangle is 12 cm more than 6 times the width The perimeter is 108cm. How do you find length and width?
- A skater crossed a frozen river 1 mile wide in 5 minutes with the wind behind him. It took him 15 minutes where skated into the wind. What was the speed of the wind?
- Sheila can row a boat 2 MPH in still water. How fast is the current of a river if she takes the same length of time to row 4 miles upstream as she does to row 10 miles downstream?
- On a trip from Detroit to Columbus, Ohio, Mrs. Smith drove at an average speed of 60 MPH. Returning, her average speed was 55MPH. If it took her ⅓ hour longer on the return trip, how far is it from Detroit to Columbus?
- Paul has $4.75 in coins. He has some quarters, one more dime than quarters, and 3 less nickels than quarters. How many dimes does he have?
- Batman can clean up all of the crime in gotham city in 8hr working alone. robin can do it alone in 12 hr. If robin starts crime fighting at 8am and batman joins at 10am , then at what time will they have all of the crime cleaned up?
- The number of cards in Bob's baseball card collection is 3 more than twice the number of cards in Andy's. If together they have at least 156 cards, what is the least number of cards that Bob has?
- Sue has a balance of $35 in her checking account. She writes one check for $10, and three checks for $9 each. What is her balance now?
- In a bowl of jelly beans, all but 16 are red, all but 16 are green, all but 16 are blue and all but 18 are yellow. How many of each COLOR are in the bowl?
- In the first three football games of the seasons, Carlos gained 3 times as many yards as Alden. Travis gained 10 years more than Carlos. Altogether the three players gained a total of 430 yards. How many did Carlos gain?
- The value of Lynn's car depreciates at about 15% per year. If Lynn purchased her car for $21,900 what would its value be in 10 years?
- Tony rows his canoe 30 miles downstream in the same time it takes him to row 12 miles upstream. If he rows 20mph in still water, what is the speed of the stream?
- A man invests some money at 5%, and $49,000 more than three times the amount at 11%. The total annual interest earned from the investment is $51,370. How much did he invest at each amount?
- A student accidentally poured 2 liters of 20% acid solution into a container having 10 liters of 15% acid solution. What is the concentration of the new solution?
- A man invested some amount at 6% interest rate and some amount at 9% interest rate. If he put Php12,000 more in the second investment than in the first investment and his annual income from both investments is Php4,830 how much did he invest at each rate?
- A car left Montreal for Toronto, a distance of about 540 km, at 11:00 traveling at 85 km/h. At the same time, another car left Toronto for Montreal traveling at 95 km/h. At what time would the two cars meet?
- Matt set a record for the men's 100 m freestyle even in swimming. It took him 49.17 s to swim the 50.0 m length of the pool and swim back. Assume that half of Matt's record time was spent traveling the length of the pool. What was his speed?
- Ross charged $6 to wash a dog and then $3 each day to walk the dog. He earned $21. How many days did he walk?
- One side of a rectangle is 6 longer than the adjacent side. The area is 187. What are the dimensions?
- One side of a rectangle is twice the length of the other. The area is 100. What are the dimensions?
- The width of a rectangular garage is 8 feet less than the length. How do you express the perimeter of the garage as a function of the length?
- The length of a rectangular piece of carpet is 4 yards greater than the width. How do you express the area of the carpet as a function of the width?
- The perimeter of a rectangular book is 48 inches. How do you express the length of the book as a function of the width?
- The equation #h=16t^2+47t+3# gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?
- Question #ce0a0
- If x and y are positive integers such that the greatest common factor of x^2y^2 and xy^3 is 45, then which of the following could y equal?
- Miguel spent more than $6 at a fast food restaurant. If he had $25 to start, what was his remaining pocket money?
- Question #0f812
- How do you find the perimeter of a rectangular object which has a length of square root of 128 feet and a width of square root of 200 feet?
- How do you find the area of a rectangular object which has a length of 5 square root of 8 inches and a width of 2 square root of 5 inches?
- The sum of two numbers is 9 and the sum of their squares is 261. How do you find the numbers?
- How do you find a number that is the sum of two squares and whose square is also the sum of two squares?
- What is a simplified algebraic expression for the difference of nine times a number and five more than two times the number ?
- Question #adc89
- Question #da797
- The number #90^9# has #1900# different positive integral divisors. How many of these are squares of integers?
- After several weeks on the phone, you are averaging about 175 calls per shift. Approximately how many calls would you make during #2 1/4 # shifts?
- If #2x- 5#, #x-1#, and #3x -8# are all integers and #x- 1# is the median of these integers, what is x?
- What's the quickest way to determine the proper divisors of a number by hand?
- Question #bf080
- 2 consecutive odd negative integers have a product of 399. What are the integers?
- Jack is twice as old as Lacy. In three years, the sum of their age will be 54. How old are they now?
- Find a number #2/5# way up from #-3# to #5#?
- A right triangle ABC is inscribed in a circle with centre O, as shown in the following diagram. A and C are endpoints of a diameter, and B is a point that lies on the circumference. AC measures #sqrt(277)# cm, and side BC measures 5 cm less than AB?->
- 20 workers completed 1/4 of a building in 8 days. Due to a dedication ceremony, it became necessary to complete the building in the next 5 days. How many workers were added to the original 20 to make this possible?
- Two numbers add to #13# and multiply to #42#. What are the two numbers?
- Question #f5b12
- Adriana can ride her bicycle 6 miles in one hour. How long will it take her to ride 15 miles?
- At Johnson Middle School an average of 500 people attended each of the 15 home basketball games. If admission was $3 per person, about how much money was collected in all?
- A local theater has floor seating, balcony seating, and box seating. If the theater contains 2,500 seats with 425 seats in the balcony and 215 box seats, how many seats are on the floor?
- Janelle plans to buy three boxes of popcorn at the movies for herself and two friends. If each box costs $1.95, how much change will she receive when she pays with a ten-dollar bill?
- Determine all integer pairs #(x,y)# with #x < y# such that the sum of all the integers strictly contained between then is equal #2016#?
- Four consecutive integers are such that the sum of the #2#nd and #4#th integers is #132#. What are the four integers?
- If the sum of a positive number and two negative numbers is #-12# what are the numbers?
- Question #759bc
- Question #18833
- Question #609ac
- Question #ff115
- If #11xx11=4# and #22xx22=16#, what is #33xx33#?
- Question #020b2
- Question #ffe8d
- Question #50fa1
- Question #02955
- Question #2d4f9
- We have #25%# solution and a #50%# solution of a chemical. How do we mix them to prepare #100# gallons of #40%# solution?
- The sum of four consecutive integers is -42. What are the integers?
- How to write a linear equation that describes this image of flow of traffic along the various branches. How to use these equations to determine the minimum flow possible along x1. What are the other flows at that time ?
- Question #26216
- Question #959a1
- Three times the sum of x and 4 is 32. What is the number?
- What number divided by 4 is 2?
- Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?
- To get a B in math, Alexandria Pappas must average 80 on five tests scores on the first four tests were 84. 77, 84, and 75. What is the lowest score that she can get on the last test and still get a B?
- Three more than a number is -5. How do you find the number?
- How do you find four consecutive integers whose sum is 114?
- Grandpa Schmidt is 75 years old This is 9 years less than seven times the age of Junior Schmidt. How old is Junior?
- Baseball cards come in packs of a dozen (12) cards. Matt has 132 baseball cards. How many packs of baseball cards did he buy?
- The Pythagorean theorem t is used to find missing side lengths in a right triangle. How do you solve for b, in terms of c and a?
- The length of a tennis court is 78 feet. This is 51 feet more than the width. What is the width?
- How do you find the cost of lighting a 100-W lamp for 10 hours at $0.10 per kilowatt-hour?
- Nine times a number, diminished by 4, is 95. How do you find the number?
- Nine less than a number is -24. How do you find the number?
- Walter buys a bus pass for $30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and was deducted from the value of the pass. How much does each bus ride cost?
- The width of a rectangle is 3 less than twice the length x. If the area of the rectangle is 43 square feet, what equation can be used to find the length, in feet?
- A shoe store was having a back to school sale where you could buy 5 pairs of shoes for $64.15. If a large family decided to buy 2 pairs of shoes, how much would it cost them?
- Ann Marie Jones has been pricing Amtrak train fares for a 2 group trip to New York. Three adults and four children must pay $159. Two adults and three children must pay $112. How do find the price of the tickets?
- The product of two positive consecutive even integers is 224. How do you find the integers?
- Justin has 20 pencils, 25 erasers, and 40 paper clips. He organizes the items in each into groups with the same number of group. All the items in a group will be the same type. How many items can he put in each group?
- A farm has 76 acres of wheat. The farmer can harvest the wheat from 12 acres per day. In how many days will all of the fields be harvested?
- A rectangular swimming pool is 6 ft deep. One side of the pool is is 2.5 times longer than the other The amount of water needed to fill the swimming pool is 2160 cubic feet. How do you find the dimensions of the pool?
- Brantley and Shawna walk to Grandma's house at a rate of mi/hr. They ride their bicycles back at 8 mi/hr over the same route that they walked. It takes 1 hr longer to walk than to ride. How long did it take them to walk to Grandma's?
- Pet supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?
- A record album is is of an inch thick. How many albums can be stacked to fit in a box 12 in. high?
- A pre-paid calling card costs $10. If purchased, it will allow the user to make calls for 5.2 cents per minute until the $10 amount is used. How do you calculate the number of minutes, rounded to the nearest minute, of this calling card?
- You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
- One pound of bananas costs $0.55. How much would 2.5 pounds cost?
- The cost to purchase a song from iTunes is $0.99 per song. The Napster membership fee is $10. In addition, each purchased song costs $0.89. How many downloaded songs, d, must be purchased for the monthly price of Napster to be the same as iTunes?
- Henry needs to rent a moving truck. Suppose Company A charges a rate of $50 per day and Company B charges $70 fee plus $30 per day. For what number of days is the cost the same?
- There are 6 times as many dogs as cats. If the total number of dogs and cats is 21 how many dogs are there?
- Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?
- Eric's bird feeder holds 1/3 of a cup of birdseed. Eric is filling the bird feeder with a scoop that holds 1/6 of a cup. How many scoops of birdseed will Eric put into the feeder?
- Erie's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will to day Eric walk?
- Six Flags Amusement Park has found that #3/5# of its customers ride the Colossus roller coaster. Of these, #1/4# ride it again. What fraction of the customers ride the roller coaster twice?
- Bill made 5 gallons of fruit punch. If 1/4 of the punch was cranberry juice, how much cranberry juice did he use?
- The sum of two numbers is 41. The larger number is 15 more than the smaller number. What are the numbers?
- The sum of three consecutive numbers is 84 What is the smallest of the three numbers?
- The equation to represent the age of a dog in people years is p=6(d-1)+21 where p represents the age of a dog in people years, and d represents its age in dog years. How old is a dog if he is 17 in people years?
- A 4-pound bag of sugar contains 454 one teaspoon servings and costs $3 49, A batch of muffins uses 3/4 cup of sugar. How many batches can you make if you use all the sugar? What is the cost of sugar for each?
- The length of a postage stamp is 4 1/4 millimeters longer than its width. The perimeter of the stamp is 124 1/2 millimeters. What is the width of the postage stamp? What is the length of the postage stamp?
- Cassie has a wood board that is 3/4 foot long. She wants to cut the board into pieces that are 1/8 foot long. Which expression will help Cassie find how many pieces she can cut?
- The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side of the perimeter is 45 inches?
- The sum of three consecutive even numbers is 114. What is the smallest of the three numbers?
- Tara bought 30 books yard sale. She now has 220 books. Which equation can be solved to find b the number of books Tara had before the yard sale?
- Three consecutive even integers have a sum of 48. What are the integers?
- Two consecutive integers have a sum of 43. How do you find the integers?
- It cost George $678 to make wreaths. How many wreaths must he sell at $15 apiece to make a profit?
- You have 84 hits in 120 times at bat. Your batting average is or 0.70. How 120 many consecutive hits must you get to increase your batting average to 0.76?
- Yesterday, Johnny's snack Shack went through 1 7/10 bottles of ketchup, they used 1/2 as much mustard as ketchup, how many bottles of mustard did they go through?
- Three consecutive integers can be represented by n, n+1, and n+2. If the sum of three consecutive integers is 57, what are the integers?
- The average mail carrier walks 4.8 kilometers in a workday. How far do most mail carriers walk in a 6-day week? There are 27 working days in July, so how far will a mail carrier walk in July? 288 meters?
- The angles of a triangle are 2x, 3x and 4x degrees. How do you find the value of x?
- You have 72 hits in 160 times at bat. Your batting average is or 0.45. How many consecutive hits must 160 you get to increase your batting average to 0.56?
- Seven times a number is the same as 12 more than 3 times the number. How do you find the number?
- The perimeter of a rectangular wooden deck is 90 feet. The deck's length, I, is 5 feet less than 4 times its width, w. Which System of linear equations can be used to determine the dimensions, n feet, of the wooden deck?
- A faucet can fill a sink in 3 minutes. It takes 2 times as long for the drain to empty the sink. How long will it take to fill the sink if the drain is open and the faucet is on?
- How do you find four consecutive even integers such that -4 times the sum of the first and fourth is 6 greater than the opposite of the sum of the second and third?
- Find two numbers whose sum is 92. if the first is 4 more than times 7 times the second?
- Eight less than three times a number equals the number. What is the number?
- The second of two numbers is 5 more than twice the first. Their sum is 80. How do you find the numbers?
- If sum measures of two angles is 90, what are the angles?
- How do you write a line through: (4-2), parallel to y=x+2?
- The school baseball team wants to have each players name imprinted on the players jacket. The cost is $75 plus $8.50 for each name. What is the cost to have names imprinted on 25 jackets?
- Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?
- The second of two numbers is 6 times the first. The sum is 77. How do you find the numbers?
- The sum of two numbers is 45. The first is 9 less than the second. How do you find the numbers?
- The measure of an angle is five less than four times the measure of its supplement. How do you find both angle measures?
- A box contains 1085 grams total weight of marbles and ball bearings There are two marbles for every three ball bearings. If each marble weighs 2.0 grams and each ball bearing weighs 9.0 grams, how many marbles are in the box?
- Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. How do you find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm?
- How do you find two consecutive odd integers such that 2 times the lesser is 19 less than 3 times the greater?
- The greater of two numbers is 9 more than the smaller Their sum is 67. How do you find the numbers?
- How do you find the measure of an angle whose complement is five times it's measure?
- How do you find the measure of an angle whose supplement measures four times it's measure?
- The measure of a complement is 1/4 of the measure of its angle. How do you find the angle measure?
- Jonathan and members of his Spanish Club are going to Costa Rica. He purchases 10 traveler's checks in denominations of $20, and $100, totaling $370. He has twice as many $20 checks as $50 checks. How many of each denomination does he have?
- Her earns a salary of $315 plus a commission on on Alice monthly total sales. Last month her total sales were $9640, and she earned a total of $1182.60. What is her commission rate?
- To join a gym, you pay a one-time fee of $75 and $45 per month for the duration of the membership. You have paid a total of $345. How long have you been a member of the gym?
- The difference of Billy and his Dad's age is 32. Billy's Dad is 6 less than three times Billy's age. How do you write an equation one could solve to find the age of Billy's Dad?
- 1Knot=3 Vines and 2 Shings=4 Knots, How many Shings are in 9 Vines?
- The lengths of the sides of this triangle are 3 consecutive integers. If its perimeter is 42 what is the length of the longest side?
- Sweater costs $12 more than twice the cost of a skirt. The sweater costs $38. How do you find the cost of the skirt?
- The value of 3 times the square root of 8 is between which two consecutive integers?
- What is the largest finite number with a simple dictionary name?
- The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. How do you find the original length of each side of the equilateral triangle?
- Rafael earned a salary of $34,944 last year. How much did he earn per month?
- Jesse earns $420 a week, and he works 5 days a week. What is his daily wage?
- A computer programmer earned $1043 a week last year. What was her yearly salary?
- Bonifacio works 40 hours per week as a customer service representative. If he made $17,680 last year, how much was he paid per hour?
- A graphic artist earns $22 an hour, and she works 40 hours a week. What is her weekly wage?
- Two years of local Internet service costs $685, including the installation fee of $85. What is the fee?
- If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
- How do you find a number which exceeds 10 by as much as twice the number exceeds 38?
- In triangle PQR, the measure of angle P is 36 degrees. The measure of angle Q is five times the measure of angle R. How do you find the measurement of angle Q and the measurement of angle R?
- The area of a circle is #64pi cm^2#, how do you find its radius?
- Parker has quarters and dimes his piggy bank. He has 4 more dimes than quarters, and he a total of $7.05 in his bank. How many dimes and quarters does Parker have?
- Benjamin is 4 years younger than Kevan. William is 4 years less than twice Benjamin's age. If William is 22, how old are Kevan and Benjamin?
- A moving van charges a flat rate of $25 per day plus $0.12 per mile for every mile over 100 driven. If Millie's bill was $29.46 how many miles to the nearest mile did she drive in all?
- Ashley can paint a 10 ft by 14 ft wall in 20 minutes Maddie can paint the same sized wall in 14 minutes, If Ashley and Maddie are both painting at the same time, how long will it take them together to paint the same sized wall?
- A monthly magazine charges $17.40 for a one-year subscription (12 issues). The same magazine sells on the newsstand for $2.00 a copy. How much do you save on each issue by buying a subscription?
- Three times the total number of adults was 17 less than the number of children who visited the petting zoo. How do you write an equation to model this relationship?
- How do you find three consecutive even integers whose sum is 16 more than two times the middle integer?
- A submarine is cruising at a depth of 340 feet below sea level. How do you find the depth of the submarine after is ascends 76 feet?
- Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael's age?
- One half of a number increased by 16 is four less than two thirds of the number. What are the numbers?
- The radius of a circle is 13 inches and the length of a chord in the circle is 10 inches. How do you find the distance from the center of the circle to the chord?
- Eight plus the quotient of a number and 3 is -2, what is the number?
- Mr Robert teaches for 5 3/5 hours every day at a local college. He gets paid after he has taught for at least 84 hours. After how many days will he get paid?
- A student scored 75, 85, and 93 on three algebra tests. What must he score on the fourth test in order to have an average grade of at least 85?
- Courtney bought 7 melons for $8.99. How much did she pay for each melon?
- Jenny type at a speed of 80 words per minute. It took her 20 minutes to type a report. How many words was the report?
- Suppose you had d dollars in your bank account. You spent S22 but have at least S28 left. How much money did you have initially?
- Anthony is 4 years older than Kasim. Kasim is twice as old as Ramon. Their ages sum up to 64. How old is each of them?
- A taxicab charges $4.25 for the first mile and $1,50 for each additional mile. Write a rule for describing the total rater as a function of the total miles m. What is the taxi rate for 12 miles?
- A 17-foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the lengths of both pieces. Who is the length of the shorter piece?
- The area of a rectangular picture frame is 30 1/3 square inches. The length of the frame is 6 1/2 inches. How do you find the width of the frame?
- How do you find the numbers such that four less than half the number is at least five and at most ten?
- Alice baked a certain number of pies. She gave 1/8 of the pies to her friends and 1/4 of the remainder to her neighbor She was left with 63 pies. How many pies did Alice bake at first?
- If a spider can move 3/7 of a mile every hour, the how many hours would take it for a spider to go 9 miles?
- The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what are its dimensions?
- Alison saves $29.26 each month. How man months will it take her to save enough money to buy a stereo for $339.12?
- How do you find two real numbers whose difference is 40 and whose product is a minimum?
- Raul works 2 h daily after school, Monday through Friday. On Saturdays he works 8 h at $2 more per hour than on weekdays. If he makes $142 per week, how much does he make per hour on weekdays?
- The lawton family spent a total of 26.75 on lunch. They bought 5 drinks and 3 sandwiches. Each drink costs $2.50 less than a sandwich. How do you find the cost of each sandwich?
- If the perimeter of a rectangle is #5x^2+2xy-7y^2+16#, and the length is #-2x^2+6xy-y^2+15#, what is the width?
- I have eight more quarters than dimes. If the coins are worth $6.20 how many dimes are there?
- How do you find the two greatest consecutive even integers whose sum is less than 217?
- If two numbers are in the ratio 5 to 3 and the sum of the numbers is -24, what is the smaller number?
- Adult tickets for the game cost $4 each and student tickets cost $2 each. A total of 920 tickets worth $2446 were sold. How many student tickets were sold?
- A car company charges a flat rate for hiring a car and also charges at per mile rate for usage. Its charge for #18# miles is #$18.79# and for #25# miles is #$22.29#. What is the charge per mile and flat rate?
- The area of the parallelogram is 150 sq. in. What is the perimeter given the height is 6 and the base is 4x-3?
- Julie recently drove to visit her parents who live 120 miles away. On her way there her average speed was 20 miles per hours then on her way home she ran into some bad weather. If Julie spent a total of 5 hours driving, find two rates?
- Zach is 15 1/2 years old. This is 3 years younger than his brother Lou. How old is Lou?
- Kelly has 3/4 of a pie left. She wants to split the pie with 3 of her friends. How much of the pie will each person get?
- Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make?
- A rectangular table is three times as long as it is wide. lf the area is 75 ft2, find the length and the width of the table?
- How do you find four consecutive even integers whose sum is 42?
- One number is 2/3 of another number. The sum of the two numbers is 10. How do you find the two numbers?
- Katelyn charges $6 per hour for helping her mom, Mrs. Shannon, take pictures. Katelyn hopes to make at least $45 extra dollars to go shopping at Michaels. How many hours will she have to work to make the $45?
- Last season, Everett scored forty-eight points, This is six less than twice the number of points that Max scored. How many points did Max score?
- Celia has $20 to spend at the grocery store. She needs milk, bread, and fruit. If milk cost $3 and bread costs at least $2, how much can she spend on fruit?
- The total number of laps needed to complete a bike marathon is 75. Kayla completed at least 68 laps. How many possible complete laps could Kayla have completed?
- Mrs. Smith buys three pounds of Jungle Jellies at $4.65 per pound and two pounds of Rainbow Ripple for a total bill of $20.95. How do you write and solve an equation to determine how much the Rainbow Ripple costs per pound?
- Omar wants to buy chairs for his new office. Each chair costs $12 and there is a flat delivery fee of $10. If he has $80, how many chairs can he buy?
- Dakota lives 1,500 meters from school. She leaves for school, walking at a speed of 60 meters per minute. How do you write an equation for her distance d in meters from school after she walks for t minutes?
- Rectangular blanket has a width of 3x and a length of 4x-3. What is an expanded expression for the area of the blanket? What is a simplified expression for the perimeter of the blanket?
- Question #a4a8f
- If the sum of three consecutive integers is #9#, what are the integers?
- A large pipe can fill a tank in 6 hours less than it takes the small pipe. Working together, they can fill it in #4# hours. How long would it take the small pipe to fill the tank if it was working alone?
- Jake, Lionel, and Wayne work as house painters for Paint Well Company. Jake can paint 1 room in t hours. Lionel can paint a room 2 hours faster than Jake can. Wayne can paint 2 rooms in 3 times the number of hours that Lionel takes to paint 1 room?
- Bob wants to fence in a rectangular garden in his yard. He has 70 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, how do you express the area of the garden as a function of x?
- You are the captain of the volleyball team and are in charge of ordering t shirts and sweatshirts. T shirts cost $8 and sweatshirts cost $22. If the total cost of the 60 shirts is $872, how many of each did you purchase?
- If the measure of one side of a square is increased by 2 centimeters and the measure of the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is 32 square centimeters. How do you find the measure of one side of the square?
- The number of cars (c) in a parking lot increases when the parking fee (f) decreases. How do you write the correct equation for this scenario, and solve for the number of cars when the fee is $6?
- How do you find two consecutive integers such that the sum of the first number and 3 times the second is 55?
- When 2 times a number is subtracted from 7 times a number the result is 5. What is the number?
- One bar of candy A and two bars of candy B have 767 calories. Two bars of candy A and one bar of candy B contain 781 calories. How do you find the caloric content of each candy bar?
- A rectangle that is x feet wide is inscribed in a circle of radius 10 feet. How do you find the expression for the area of the rectangle as a function of x?
- Sixty less than some number is equal to the sum of twice the number and twelve. How do you find the number?
- The length of a rectangle exceeds its width by 4 inches. How do you find the dimensions of the rectangle it its area is 96 square inches?
- You and your friend are splitting a restaurant bill and leaving a tip. You pay half of the bill plus $5. Your friend pays half of the bill plus 25% of half the bill. You and your friend pay the same total amount. How much is half the bill?
- Delia bought 3.8 pounds of peppers. The peppers cost $1.99 per pound. What was the total cost of Delia's peppers?
- Part of the proceeds from a garage sale was $490 worth of $10 and $20 bills. lf there were 4 more $10 bills than $20 bills, how do you find the number of each denomination?
- W is the midpoint of DY. If #DW=x^2 +4x# and #WY=4x+16#, how do you find DY?
- HT bisects DG at O. If HO=3x+17, TO=4x-2, DO= 3x+10 and GO= 6x-20, how do you find the value of x?
- The product of a number and 3, subtracted from the sum of fourteen and four times the number. What is the number?
- Question #c1e30
- How do you solve #1+ 3a = - 8- 4a#?
- Question #f9075
- Addison plays 1/2 of a song 1/8 of a minute. How many minutes will he need to play a full song?
- In preparation for a party, Michael is making goodie bags. He has 36 chocolate bars and 48 lollipops lf he wants to prepare identical goodie bags without having any candy left over, what is the greatest number of bags he can prepare?
- Sophia used 1/3 of an ounce of cheese to make 1/12 of a pound of pizza dough. How l many ounces of cheese are needed to make a pound of pizza dough?
- I am now three years younger than twice what my age was 6 years ago. What is my age now?
- The length of a lacrosse field is 15 yards less than twice its width, and the perimeter is 330 yards. The defensive area of the field is 3/20 of the total field area. How do you find the defensive area of the lacrosse field?
- In triangle ABC, the measure of angle B is three times that of angle A. The measure of angle C is 20 degrees more than that of angle A. How do you find the angle measures?
- Ansh is 8 years younger than Ryan, Ryan is three times as old as David, David is x years old. How old are they?
- At a garden shop, a customer pays $48 for 5 geraniums and 4 lilies. Another customer pays $58 for 4 geraniums and 6 lilies. How do you a system of equations you can use to find the cost x, of one geranium and the cost y, of one lily?
- Bob has 20 coins totaling $1.40. If he has only dimes and nickels, how many of each coin does he have?
- A woman bought some large frames for $17 each and some small frames for $5 each at a close out sale. If she bought 18 frames for $174, how do you find how many of each type she bought?
- One number is three less than four times another; their sum is 27. How do you find the numbers?
- A diver begins at sea level and descends vertically at a rate of 2 1/2 feet per second. How long does the diver take to reach -15.6 feet?
- The sum of two numbers is 32. One of the numbers is 4 less than 5 times the other. How do you find the two numbers?
- Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How do you write and solve as an equation to find how much the present cost?
- Tori buys 27 packages of miniature racing cars. Each package contains 5 cars. About how many miniature racing cars does Tori buy?
- Rimshot bought a 3.5-oz chocolate crunch bar. Within 15 minutes, he had eaten 0.6 of the bar. How many ounces did he eat?
- Tape travels through a tape player at a speed of 9.45 ft per min How many feet of tape are needed for half an hour of continuous music?
- Martina uses n beads for each necklace she makes. She uses 2/3 that number of beads for each bracelet she makes. Which expression shows the number of beads Martina uses if she makes 6 necklaces and 12 bracelets?
- How do you find two consecutive even integers such that twice the smaller is 26 less than 3 times the larger?
- Greta is opening a savings account. She starts with $100 and plans to add $50 each week. How do you write an equation she can use to calculate the amount of money she will have after any number of weeks. How much money will she have after 1 year?
- A motorcycles gas tank holds 4.5 gallons. If the motorcycle can travel 225 miles. How many miles per gallon does the motorcycle average?
- You put 500 pieces of paper in a copy machine. When you check back 6 days later, there are only 320 pieces left. How many pieces of paper are being used each day?
- Gavin has $12 in his savings account and adds $3 each week, how do you identify the slope, y-intercept and write the equation for the amount in your savings account? How much will Gavin have after 5 weeks?
- The measure of an angle is 28° greater than its complement. How do you find the measure of each angle?
- The measure of an angle is 21° more than twice its supplement. How do you find the measure of each angle?
- The perimeter of the triangle is 126 units. How do you find the measure of each side given 2x+1, x, 2x?
- The base angles of an isosceles triangle are congruent. If the measure of each of the base angles is twice the measure of the third angle, how do you find the measure of all three angles?
- Question #fe03a
- The formula for finding the area of a square is #A=s^2#. How do you transform this formula to find a formula for the length of a side of a square with an area A?
- When 3 times the number x is added to 9, the result is 3. What number results when 2 times x is added to 15?
- Eli took the fleet of 8 vans for oil changes. All of the vans needed windshield wipers which cost per van. The total bill was $432. How do you write an equation to $24 find out what each oil change cost and solve the equation?
- You want to put some money in a simple interest account. It pays 6% interest annually for 2 years. You would like to earn $750 in interest. How much money do you need to put in?
- How do you solve the equation #ax-k=3(x+h)# for x?
- The length of a rectangle is 3 meters less than twice its width. How do you write an equation to find the length of the rectangle?
- Question #71f34
- Sandy spent half of her allowance going to the movies. She washed the family car and earned 6 dollars. What is her weekly allowance if she ended with 12 dollars?
- Steve starts with $350 and spends $35 a week. Chelsea starts with $20 and saves $20 a week. How do you use x for time and y for savings and complete the equations that represent these situations?
- Tim bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 24 cards left. How many cards did Tim start with?
- Sandy bought a soft drink for 3 dollars and 8 candy bars. She spent a total of 35 dollars. How much did each candy bar cost?
- The sum of three consecutive odd numbers is 159. What is the smallest of the three numbers?
- Sally had 133 dollars to spend on 7 books. After buying them she had 14 dollars. How much did each book cost?
- The sum of three consecutive even numbers is 168. What is the smallest of the three numbers?
- Joan sold half of her comic books and then bought 8 more. She now has 15. How many did she begin with?
- On Monday, 237 students went on a trip to the zoo. All 4 buses were filled and 5 students had to travel in cars. How many students were in each bus?
- The sum of three consecutive numbers is 87 What is the smallest of the three numbers?
- Carter has two test grades of 83, four grades of 86, and 3 grades of 92 on his first nine math tests. His final exam will be weighted as three test grades, write an equation that shows that Shakiraquan's final grade for the term will be 88?
- If it took Jane 3/4 hour by long will it take to paint a wall that was 12 ft by 12 ft, how long will it take to paint another wall that is 15 ft by 16 ft?
- In college, summer vacation is five days more than 5 times the length of winter break. Spring break is one-third as long as winter break. If winter break is r days long, how many days off do college students receive for the three breaks?
- Tomato plants are sold in trays of 18. Dai wants 170 tomato plants How many trays should he buy?
- Stephanie has $152 in the bank. She withdraws $20. Then she deposits $84. How do you write an addition expression to represent this situation then find the sum and explain its meaning?
- Laura is x years old. Robert is 2 years younger than Laura and Kyleigh is 8 years older than Robert. Which of the following expressions represents the sum of their ages in terms of x?
- Nicole spent $18 on a magazine and some notepads. If the magazine cost $6 and each notepad cost $2, then how many notepads did she buy?
- Bob likes 2 digit numbers n>10 such that both digits are squares. For example, 10 and 41 are two such numbers. How many of these numbers are there?
- You are buying flowers to hand out at a school dance. Roses cost $30 for a dozen but cost more if bought individually. With the money you have, you can buy 7 dozen and 4 single roses, or 64 single roses. How much is one rose? How much money do you have?
- Suppose a video store charges non-members $4 to rent a video. A membership costs $21 and then videos cost only $2.50 to rent. How many videos would you need to rent in order to justify a membership?
- The sum of three consecutive integers is 258. How do you find the three integers?
- Given that triangle ABC, AB=x+3, AC=3x+2, BC=2x+3, and the perimeter of the triangle is 20, how do you show that the triangle is scalene?
- The sum of three consecutive integers is 69. How do you find the three integers?
- The three sides of a triangle are z+9, z+1, and z+2. If the perimeter of the triangle is 48, what is the value of z?
- Abby scored a 78 on her first test and a 54 on her second. If Abby needs a test average of 55 to pass the course, what is the lowest score that she can make on her third and final test and still pass?
- Perimeter of an isosceles triangle is 71 centimeters. The measure of one of the sides is 22 centimeters. What are all the possible measure of the other two side?
- How do you find three consecutive even integers such that three times the largest is 34 more than the sum of the two smaller integers?
- A cell phone company monthly fee fee charges a plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. How many text messages did you have?
- The little Town Fine Arts Center charges $21 per adult and $10 per senior citizen for its performances. on a recent weekend evening when 559 people paid admission, the receipts were $7493. How many who paid were senior citizens?
- A rectangular Persian carpet has a perimeter of 252 inches. The length of the carpet is 28 in, more than the width. What are the dimensions of the carpet?
- Ashley won 40 lollipops playing hoops at her school's game night. Later, she gave two to each of her friends. She only has 4 remaining. How many friends does she have?
- A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleader make signs similar to the banner. The length of a sign is 11 inches. What is the perimeter and its area?
- Willie rented a bike from Sarawong's Bikes. It cost $18 plus $5 per hour. If Willie paid $48 then he rented the bike for how many hours?
- The total of three sisters' ages is 39. Dina is is half as old as Michelle and 3 years younger than Juliette. How old are the sisters?
- You have $200 in a savings account. Each week for 8 weeks you take out $18 for spending money. How much money is in your account at the end of 8 weeks?
- The length of a rectangular garden is 3 yd more than twice its width. The perimeter of the garden is 30 yd What are the width and length of the garden?
- A taxi charges a flat rate of $1.75 plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
- An adult ticket to a museum costs $3 more than a children's ticket. When 200 adult tickets and 100 children's tickets are sold, the total revenue is $2100. What is the cost of a children's ticket?
- Tanya is 12 years older than Leah. Three years ago, Tanya was five times as old as Leah. How old is Leah?
- A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. How do you find the total fee y for any number of hours x?
- There were 80 nickels and dimes on a table. It was worth $8.00. How many of each coin were on the table?
- Rectors Coffee shop sells a refill coffee mug for $8.95. Each refill costs $1.50. Last month Sloan spent $26.95 on a mug and coffee. How many refills did he buy?
- The length of a rectangle is 7 feet larger than the width. The perimeter of the rectangle is 26 ft. How do you write an equation to represent the perimeter in terms of its width (w). What is the length?
- Three consecutive integers have a sum of 78. How do you find the integers?
- If three times a number is increased by 4, the result is the same as when five times a number is decreased by 20. What is the number?
- How do you find the width of a rectangle if the length is 12 cm and the perimeter is 42 cm?
- An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. How do you write an equation in slope-intercept form. Find the charge for 26 hours of work.]?
- Question #9382f
- Someone earns the following average wages: $90 per day over 15 consecutive days, $87 per day over the first 7 days, $92 over the last 7 days. What's the wage earned on day 8?
- The sum of two numbers is twenty-two. One number is two less than the other. How do you find the numbers?
- The perimeter of a triangle is 36. The three sides are x, x+3, and 2x-3, what is the value of each side?
- The larger of two numbers is 5 less than twice the smaller number. The sum of the two numbers is 28. How do you find the two numbers?
- The value of a number of nickels and quarters is $3.25. If the number of nickels was increased by 3 and the number of quarters was doubled, the value would be $5.90. How do you find the number of each?
- The area of a parallelogram is 247, the base is 19, what is the height?
- A rectangle is 5 cm longer than it is wide. If the length and width are both increased by 3 cm, its area is increased by 60 cm2. How do you find the dimensions of the original rectangle?
- Trina earns $28.50 tutoring for 3 hours. How do you write an equation relating her earnings m to the number of hours h she tutors. Assuming the situation is proportional how much would Trina earn tutoring for 2 hours?
- Two cars are driving in the same direction from the same place. If one travels at 50 mph and the other at 58 mph, how long will it take them to be 40 miles apart?
- Currently, you have $60 and your sister has $135 You decide to save $5 of your allowance each week, while your sister decides to spend her whole allowance plus $10 each week. How long will it be before you have as much money as your sister?
- The sum of two numbers is 37. Their product is 312. What are the numbers?
- What is the perimeter of the triangle expressed as a polynomial if the sides are 4x+1, x-7, 6x+2?
- If three times a number, added to 4 is divided by the number plus 7, the result is five halves. How do you find the number?
- What is the third angle of a triangle is the other angles are 36 and 108?
- You deposit a cheek for $236.70 into your savings account. Your account has a balance of $319.23 after the deposit. How do you find the balance of your saving account before the deposit?
- Allison drove for 2 hours on the freeway, then decreased her speed by 20 miles per hour and drove 4 more hours on a country road. If her total trip was 268 miles, then what was her speed on the freeway?
- The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?
- How do you find the circumference of a circle whose area is #60picm^2#?
- Brinn's rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn's pantry. If the pantry is 3 feet wide, what is the length of the pantry?
- Ryan sold half of his comic books and then bought sixteen more. He now has 36. How many comic books did Ryan start with?
- The length of a rectangle is 4x+3 and the width is 2x-6, how do you write the expression for the perimeter of the rectangle?
- Will is 4 years older than Mike. Together, the sum of their ages equals three times Mike's age. How old is each person?
- The length and width of a rectangle are 3x+1, and x+1, respectively. If the perimeter of the rectangle is 28, how long is each side?
- Imelda bought a truck for her business and depreciated it over 5 years using the straight-line method. If its value 2 years later was $10,035, how much did she pay for it?
- Mrs. Wang is 23 years older than her daughter, In 5 years, their ages will total 63, How old are they now?
- A right triangle has exterior angles at each of its acute angles with measures in the ratio 13 14. How do you find the measures of the two acute angles of the right triangle?
- Andy is twice as as as in 6 years, their ages will total 60. How is each now?
- Marie scored 95, 86, and 89 on three science tests. She wants her average score for 6 tests to be at least 90. What inequality can you write to find the average scores that she get on her next three can tests to meet this goal?
- Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
- The student council is sponsoring a carnival to raise money. $5 for adults and $3 for students. The student council want to raise $450. How do you write an equation to find the number of each type of ticket they should sell?
- Dan's long-distance phone carrier charges him $3.95 a month for service. In addition, Dan is charged 5 cents a minute for the calls he makes. If his monthly bill is $48.50, how many minutes of calls did he make?
- The length of a table is 15 inches more than its width. If the area of the table is 700 square inches, what is its length?
- The sum of x and 8 is less than 72, how do you find all possible values of x?
- A small backyard measures 45 feet on one side. The other side measures (h 20) feet. How many feet around is the yard?
- A square plot of land is k miles on each side. How many miles around is this plot of land?
- Question #66839
- Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket. How much money did each boy have left after buying his ticket?
- Dana invested $10,000. Part of the money was invested at 10% and the remainder at 14%. The total yearly income from these investments was $1220. How much was invested at 14%?
- The length of each side of an equilateral triangle is increased by 5 inches, so, the perimeter is now 60 inches. How do you write and solve an equation to find the original length of each side of the equilateral triangle?
- A farmer counts his cows and chickens. If he counts 20 heads and 64 feet, how many chickens does he have?
- Martina is currently 14 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. What are their ages?
- Jamie has 6 quarters and some dimes in his pocket. The total value of the c is $4.50 How many dimes does he have in his pocket?
- Kellen earned 133 coins in Fruit Ninja yesterday and 278 more today. How many coins has Kellen earned in the last two days?
- Abby can buy an 8-pound bag of dog food for $740 or a 4-pound bag of the same dog food for $5.38. Which is the better buy?
- A soft drink costs $1.65, and each refill for the drink costs 0.95. If you have $4.50, how many refills can you purchase?
- Bobs age is 4 times greater than Susanne's age. Dakota is three years younger than susanne. The sum of Bob's, Susanne's, and Dakota's ages is 93. What is than Susanne's age?
- Question #85791
- Question #6e4c9
- It costs $4 to enter the fair. Each ride costs $2.50 You have $21.50. How many rides can you go on?
- The sum of 2 numbers is 25 and their difference is 7. What are the numbers?
- The area of a rectangular piece of cardboard is 90 square centimeters, and the perimeter is 46 centimeters. How do you find the dimensions of the rectangle?
- If you scored a 82, 92, and 87 on the first three chapter tests, what do you need to score on the fourth test to get an average test score of 91%?
- The length of a rectangle is 2 centimeters less than twice the width. If the area is 84 square centimeters how do you find the dimensions of the rectangle?
- How do you find two consecutive even integers that have 452 as the sum of their squares?
- How do you find two consecutive integers whose product is 72?
- The combined area of two squares is 20 square centimeters. Each side of one square is twice as long as a side of the other square. How do you find the lengths of the sides of each square?
- Your teacher is giving you a test worth of 100 points containing 40 questions. There are two point and four point questions on the test. How many of each type of questions are on the test?
- Jameson received four grades on his algebra tests, bringing his average to an 88 for that class. What grade would he have to have on his last test in order to bring his average up to 90?
- How do you write an expression to represent the perimeter of a triangle whose side measurements are 5x+3, 2x -7, and 9X?
- There are 461 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 52. What is the least number of buses needed for the trip?
- John decided to expand his backyard deck. The dimensions of the rectangular deck are 25 feet by 30 feet. His new deck will be 50 feet by 600 feet. How much bigger will the new deck be?
- Your cell phone plan costs #$39.99# per month plus #$0.18# for each text message you send or receive. You have at most #$46# to spend. What is the maximum number of text messages that you can send or receive next month?
- Carmelo's employer matches 15% of Carmelo contributions to his 401(k) plan. If Carmelo's employer contributed $300 to the plan last year, how much did Carmelo contribute to the plan last year?
- A contractor is installing carpet in a new house. The rectangular living room has an area of 96 square feet, and the length is 12 feet less than three times the width of the room. What are the dimensions of the room?
- The second of two numbers is 5 more than twice the first their sum is 80, what are the numbers?
- I have some chair and tables.If i place two chair at each table ,I have extra chair.If i place 3 chairs at each table,i have one table with no chairs.What is the sum of the total umber of tables and chairs?
- Your test scores are 75, 93, 90, 82 and 85. What is the lowest score you can obtain on the next test to achieve an average of at least 86?
- A plumber charges $65 for a diagnostic check. After the check, it is $85 per hour for the work. With $320 in your wallet, how many hours of work san you afford?
- Suppose you have 30 CDs. You know that you have 11 more CDs than your friend. How do you write and solve an equation to find the number of CDs your friend has?
- A construction worker bought several bottles of juice for $8 at the store. She paid for them with a $20 bill. If j represents the number of bottles of juice, how do you write an expression for the change she should receive?
- The class found a treasure chest full of candy. It contains 1000 pieces of candy which each weigh .121 pounds. The chest itself weights 92 lbs. If each student can lift 71 pounds, how many students are needed to lift the treasure chest filled with candy?
- Margo can purchase tiles at a store for a $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?
- Twelve more than the square of a number is seven times the number. How do you find the number?
- How do you find three consecutive even numbers whose sum is 54?
- The area of a rectangle is #sqrt24# cm. lf its breadth is #(3-sqrt6)# cm, how do you find its length in the form #(a+bsqrt6) # cm where a and b are integers?
- A pack of cardinal flower seeds costs $4 and a pack of petunia flower seeds costs $2.50, You buy the same number of packs of each type of flower and spend $39. How many packs of each do you buy?
- When you subtract a 2-digit number from a 3-digit number, the difference is 473. What are the numbers?
- Using algebra, how do you find the smallest three consecutive integers whose sum is greater than 20?
- A poster is 25 cm taller than it is wide. It is mounted on of card a piece board that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm what are the dimensions of the poster?
- A number is divided by 3. Then, 5 is added to the quotient, and the result is 8. What is the number?
- One pump can fill a tank with oil in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used at the same time, how long will they take to fill the tank?
- The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, how do you find the dimensions of the rectangle?
- At Tire Depot, a pair of new tires sells for $216. The manager's special advertises the same tires selling at a rate of $380 for 4 tires. How much do you save per tire if you purchase the manager's special?
- My father is four times as old as me. In 20 years, he will be only twice as old as me How is my father and how old am l?
- Suppose you have 24 feet of fencing to enclose your garden. The width of the garden is 2.8. What length must the garden be to use all of the fencing?
- Rene is 6 years older than her younger sister. After 10 years, the sum of their ages will be 50 years. How do you find their present ages?
- A wise man once said, "400 reduced by 3 times my age is 187." What is his age?
- The sum of two consecutive even numbers is 38. How do you find the numbers?
- The length of a rectangle is twice the width. The perimeter of the rectangle can be expressed as #3* 13.7# What is the width?
- Three years of storage space cost $3,500, including a one-time moving fee of $125. What is the yearly cost?
- The product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x-5)=750 can be used to find x, the value of the greater number. what is the value of the greater number?
- A worker's wage (w) varies directly as the number of hours (h) worked. If $114 is earned for working 8 h, how much is earned for working 30 h?
- Anne buys used cars at auction for $2000 per car. There is a $150 fee to take part in the auction. If Anne buys 13 used cars, how much does she pay in total?
- A taxi ride cost $29.40. The driver charged $3 plus $2 per mile traveled. How far did the taxi travel on this trip?
- In rhombus ABCD, diagonals AC and BD intersect at M. If AM=x+ 3y, BM=x+ 6, Mc= 3x- 9, and DM =2y +8, how do you find the values of x and y?
- Karina needs a total score of at least 627 on three games of CA bowling to break the league record. Suppose she bowls 222 on her first game and 194 on her second game. What score does she need on her third game to break the record?
- A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
- Jim went bowling with some friends. It cost him $2 to rent bowling shoes and $3.50 per game of bowling. He spent a total of $16. How do you write and solve an equation to determine how many games he bowled?
- Lucas had 2.3 pounds of grapes left over from his class party. The class ate 1.9 pounds of the grapes. How many pounds of grapes did Lucas buy?
- One evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats and $15 for lawn seats. Total receipts were $26,000. How many tickets of each type were sold? How many pavilion seats were sold?
- One day a store sold 27 sweatshirts. White ones cost $11.95 and yellow ones cost $12.50. In all, $331.45 worth of sweatshirts were sold. How many of each color were sold?
- The length of a football field is 30 yards more than its width. How do you express the length of the field in terms of its width w?
- One day a store sold 26 sweatshirts. White ones cost $9.95 and yellow ones cost $12.50. In all, $296.95 worth of sweatshirts were sold. How many of each color were sold?
- $5400 is invested, part of it at 12% and part of it at 9%. For a certain year, the total yield is 576.00. How much was invested at each rate?
- A student makes a 9.25 purchase at the bookstore with a $20 bill. The store has no bills and gives the change in quarters and fifty-cent pieces. There are 30 coins in all. How many of each kind are there?
- How do you write an equation for the opposite of the opposite of -12?
- Two consecutive integers have a sum of 113. How do you find the integers?
- A basketball player scored 9 times during one game. She scored a total of 13 points, two for each two-point shot and one for each free throw How many two-point shots did she make?
- In a trapezoid, the smaller base is 3 more than the height, the larger base is 5 less than 3 times the height, and the area of the trapezoid 45 square centimeters. How do you find, in centimeters, the height of the trapezoid?
- A first number plus twice a second number is 6. Twice the first number plus the second totals 15 How do you find the numbers?
- At a bookstore, used hardcover books sell for $8 each and used softcover books sell for $2 each. You purchase 36 used books and spend $144. How many softcover books do you buy?
- One canned juice drink is 25% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 20L that is 6% orange juice?
- Given that the length of a parallelogram is #(x^2-5x)# and the width is #(2x^2+x+3)#, how do you find the area of the figure in terms of x?
- Parking charges at Superior Parking Garage are $5.00 for each additional 30 minutes. If Margot has $12.50, what is the maximum amount of time she will be able to park her car at the garage?
- How old am I if 400 reduced by twice my age is 244?
- The product of three more than a number times two less than the number is fourteen. How do you find the number?
- Sam is mailing packages. Each small package costs him $2.70 to send. Each large package costs him $4.30. How much will it cost him to send 4 small packages and 1 large package?
- One day a store sold 30 sweatshirts. White ones cost $11.95 and yellow ones cost $12.50. In all, $364.00 worth of sweatshirts were sold. How many of each color were sold?
- Marisa and Lisa earned a total of $65 babysitting during the month of November. Marisa earned $5 more than 1/2 of what Lisa earned. How much did they each earn?
- One day a store sold 28 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, $321.20 worth of sweatshirts were sold. How many of each color were sold?
- One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 16% orange juice?
- The second of two numbers is 6 times the first. Their sum is 84. What are the numbers?
- Question #324f3
- Mattie must pay a $15 co-pay for each of her visits to a chiropractor The company pays 60% of the cost of the visit. After her accident, she made 12 visits to the chiropractor, each costing $305. How much, in total did Mattie pay for her visit?
- The perimeter of a rectangular driveway is 68 feet. The area is 280 square feet. What are the dimensions of the driveway?
- Evie's cell phone plan cost $35 a month with an additional 10 cents per minute for any minutes over 500 minutes per month. Evie was charged $37.20 in January, how many minutes did Evie use on her cell phone plan that month?
- A pet store currently has a total of 45 cats and dogs. There are 7 more cats than dogs. How do you find the number of cats and dogs in the store?
- A package holds 30 batteries. How many batteries are in 14 packages?
- The sum of two numbers is 18. The difference of the numbers is 12. How do you find the two numbers?
- A rectangle has an area of 193.2 square feet and a height of 12 feet. What is the length of the base?
- A two-digit number whose sum of digits is 14. If 36 is added to the number, the digts are interchanged. How do you find the number?
- Renu's mother is four times as old as Renu. After 5 years, her mother will be three times as old as she will then be. How do you find their present ages?
- A Bakery bakes 235 cakes every day. There are 15 people working in the shop. If everybody creates the same amount of cakes each, how many cakes does one person create?
- Diane purchased a prepaid phone card for $20. Long distance calls cost 19 cents a minute using this card, Diane used her card only once to make a long distance call. If the remaining credit on her card is $17.34, how many minutes did her call last?
- Reuben sells beaded necklaces. Each large necklace sells for $5.10 and each small necklace sells for $4.60. How much will he earn from selling 1 large necklace and 7 small necklaces?
- The sum of two times a number and 5 is 45 what is the number?
- A cuboid has a volume of 18,000 cm3. lt has a length of 36 cm and a width of 15 cm. How do you find its height?
- Kevin is 39 years old and Daniel is 3 years old How many years will i take until Kevin is only 4 times as old as Daniel?
- Ishaan is 2 times as old as Christopher 35 years ago, lshaan was 7 times as old as Christopher. How old is Christopher now?
- One does of medicine is 9ml. A bottle holds 18ml. How many doses does it hold?
- There are 630 dishes that need to be rinsed. Scott can in 105 himself. It will take his friend Joe 70 minutes to rinse these dishes. rinse them minutes by How long will it take them if they rinse these 630 dishes together?
- Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by 2x -6 and the width is represented by 3x -5, then the paper has a total area represented by?
- Greta is opening a savings account. She starts with $100 and plans to add $50 each week. How do you write an equation she can use to calculate the amount of money she have after any number of weeks. How much money will she have after 1 year?
- There are 785 students in the senior class. If there are 77 more females in the class than males, how many male and female seniors are there in the class?
- Diana purchased 6 pounds of strawberries and 4 pounds of apples for $18.90. Then she realized that this was not enough and purchased 3 more pounds of each fruit for $10.74. What was the cost per pound for each type of fruit?
- The difference of two numbers is 1. Their sum is 9, What are the numbers?
- Jocelyn has $1.95 in her pocket made up of 27 nickels and dimes. How many of each type of coin does she have?
- Ann earned a total of $346 in simple interest from two separate accounts. In an account earning 4% interest, Ann invested $1,900 more than three times the amount she invested in an account earning 3%. How much did she invest in each account?
- Question #305cd
- Question #866bc
- Devin has a total of fifty nickels and dimes. The dimes come to $2.30 more than the nickels How much money does he have?
- You scored 88, 92, and 87 on three tests. How do you write and solve an equation to find the score you need on the fourth test so that your mean test score is 90?
- Morgan has three times as many pennies as quarters. If Morgan had three more quarters and seventeen fewer pennies, she would have the same number of each coin. How much money does she have?
- The sum of four consecutive 3-digit numbers is 866. What are the four numbers?
- Jillian subtracted 9387 from a number. The difference was 3447. What was the number?
- A gym teacher orders 42 tennis balls. Each package contains 3 tennis balls. Which of the following equations represents the number x of packages?
- A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. How do you write and solve an equation to find the original price?
- A rectangle is 5cm longer than it is wide. If its length and its width are both increased by 3cm its area is increased by 60cm, how do you find the dimension of the original rectangle?
- James took two math tests. He scored 86 points on the second test. This was 18 points higher than his score on first test. How do you write and solve an equation to find the score James received on the first test?
- Your local gas stations are having a price war. During the past 7 days they have lowered the price of regular gas by $.02 each day How do you write and solve an equation to find the total change in gas price?
- It takes an older computer 4 times as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 10 minutes to send out the email. How long will it take the newer computer to send out the email on its own?
- The sum of two numbers is 12 Their difference is 4. How do you find the numbers?
- Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 25 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
- Question #9008c
- John read the first 114 pages of a novel, which was 3 pages less than of the novel. How do you write an equation to determine the total number of pages (p) in the novel?
- A picture measures 11 inches tall by 14 inches wide. Nathan wants to enlarge the picture to fit it in a frame that is 16 inches tall. What equation will he need to use to find out how wide the picture should be after it is enlarged?
- Triangle ABC is an isosceles triangle with vertex angle B, AB=5x-28, AC=x+5, and BC= 2x+11. How do you find the length of the base?
- The measures of the angles of a triangle are x, 2x, and 3x. How do you find the measure of each angle?
- You work 40 hours regular time at $16.75 and 4 hours overtime at time and a half. How much do you earn?
- How do you write the expression for the area given the length (x+6) and width (x-3)?
- The price of discount airline ticket starts at $150 and increases by $30 each week. Which algebraic expression models this situation?
- How do you find two numbers such that the first number added to three times the second is 31, while three times the first less twice the second is 16?
- A rectangular room must have a maximum area of 84 square feet. the room is to be 8 feet wide, what is the longest the room can be?
- Kevin wishes to buy apples and bananas, Apples are 50 cents per pound and bananas are 10 cents per pound. Kevin will spend $5.00 for his fruit. How do you write an equation that models this situation and describe the meaning of the two intercepts?
- Your basketball team scored 4 fewer than twice as many points as the other team. How do you write an expression for the number of points your team scored?
- Two minor league baseball players got a total of 396 hits, Washington had 8 more hits than Sanchez. How do you find the number of hits for each player?
- Thomas has a collection of 25 coins some are dimes and some are quarters. If the total value of all the coins is $5.05, how many of each kind of coin are there?
- Ming has 15 quarters, 30 dimes, and 48 money so nickels. He wants to group his so that each group has the same number of each coin. What is the greatest number of groups he can make?
- How do you write the expression for Fifteen equals three more than six times a number and 6?
- Three consecutive natural numbers have a sum of 30 What is the least number?
- Brigitte's average on her six math tests this marking period is 75. Fortunately for Brigitte, her teacher drops each student's lowest grade, and this raises Brigitte's average to 85. What was her lowest grade?
- The sum of two consecutive even integers is at most 400. How do you find the pair of integers with the greatest sum?
- The vertex angle of an isosceles triangle measures 20 degrees more than twice the measure of one of its base angles. How many degrees are there in a base angle of this triangle?
- If one-half of a number is 8 less than two-thirds of the number, what is the number?
- The sum of two numbers is 47, and their difference is 15. What is the larger number?
- The sum of a number and its square is 132. How do you find the number?
- The length of a rectangle is 3 times the width. The perimeter is 65.6 cm. How do you find the width?
- Anna is 6 more than twice Courtney's age. Courtney is c years old. Which equation can be used to find Anna's age, a, in years?
- Three consecutive even numbers have a sum of 84. What is the least number?
- If Kailyn earned $50 an hour babysitting every Monday -Sunday for 2 years what would her total be?
- A car repair shop charged $80 per hour for labor and $210 for the parts of a car. If the total cost was $490, how many hours did it take to repair the car?
- A trailer is rented at $30 per day plus a charge per mile of use. The trailer traveled 25 miles in one day, and the total charge was $130. Which equation can be used to find the charge x, in dollars, per mile traveled?
- Aviation A helicopter hove 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter's height h above the ground as a function of time t. What is the helicopter's height after 45 s?
- Jacques can buy six CDs and three video cassettes for $163.7 or he can buy nine CDs and two video cassettes for $200.53. How do you find the price of one video cassette?
- The sum of the areas of the rectangle and the square is #2x^2+ 4x +1#. Given that this sum is #49 cm^2#, how do you find x and the area of the square?
- The length of a rectangle is three times its width. The perimeter is at most 112 centimeters What is the greatest possible value for the width?
- Gary and Thomas have number cards. At the end of the game, Thomas still has 5 cards. If the value of each card is 50 points, how many points does Thomas have?
- Kendra is thinking of an integer greater than -3 and less than -2.7. What is the integer?
- If 3 is added to a number and the sum is tripled the result is 11 more than the number how do you find the number?
- The sum of the squares of two positive numbers is 80 and the difference of the squares of the numbers is 48. How do you find the numbers?
- A patio has an area of 286 square feet. If the length of the patio is 22 feet, what is the width?
- Zoe has a total of 16 coins. Some of her coins are dimes and some are nickels. The combined value of her nickels and dimes is $1.35. How many nickels and dimes does she have?
- The sum of the squares of two positive numbers is 53 and the difference of the squares of the numbers is 45. How do you find the number?
- One positive integer is 5 less than twice another. The sum of their squares is 610. How do you find the integers?
- One positive integer is 6 less than twice another. The sum of their squares is 164. How do you find the integers?
- A theater can seat 648 people. The number of rows is less than the number of seats in each row. How many rows of seats are there?
- A theater can seat 986 people. The number of rows is 5 less than the number of seats in each row. How many rows of seats are there?
- The supplement of an angle is 20 more than the measure of the angle itself. How do you find the angle?
- The product of two consecutive even integers is 624. How do you find the integers?
- How do you find two consecutive positive integers such that the sum of their squares is 181?
- Jenny bought a turkey that weighed 15.75 pounds. Mikes bought a turkey that weighed 21.3 pounds. How much more did Mike's turkey weigh than Jenny's?
- The complement of an angle is 25 less than the measure of the angle itself. How do you find the angle?
- In a class of 62 students the number of females is one less than twice the number of males. How many males and females are in the room?
- How do you find two consecutive odd integers whose product is 1 less than 6 times their sum?
- How do you find two consecutive integers whose product is 5 less than 5 times two their sum?
- The sum of three consecutive even integers is 30 more than the largest. What are the integers?
- The greater of two consecutive even integers is six less than twice the smaller. What are the numbers?
- A triangle has sides of length (x+5)cm, (2x -1) cm and (3x+7) cm. How do you find the value of x given the perimeter of the triangle is 29cm?
- The width of a rectangle is 10 units less than the length. If the area is 24 square units, then how do you find the dimensions of the rectangle?
- The average of the salaries of Tim, Maida and Aaron is $24000 per year. Maida earns $10000 more than Tim, and Aaron's salary is 2000 more than twice Tim's salary. How do you find the salary of each person?
- One-half of a number is one-fourth. How do you find the number?
- Two-thirds of a number is five-sixths. How do you find the number?
- Mary, who is sixteen years old, is four times as old as her brother. How old will Mary be when she she is twice as old as her brother?
- Ben had a part-time job at the Fun Station. Suppose he worked 13.5 hours one week and made $81. How much did Ben eam per hour?
- The perimeter of a standard-sized rectangular rug is 28 ft. The length is 2 ft longer than the width. How do you find the dimensions. What is the width?
- Marshall earns a salary of $36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise. How many years will it take before Marshall and Jim earn the same salary?
- Tyrone bought 15.3 gal of gasoline priced at g dollars per gal, 2 qt of oil priced at q dollars per qt, and a wiper blade priced at 3.79. How do you write an expression that represents the total cost of these items?
- Two friends, Darren and Michael, together earn $30 more than twice what Brian earns per month. If Darren and Michael together earn $3,800, how much does Brian earn?
- Three consecutive odd numbers have a sum of 45. What is the greatest number?
- Three consecutive multiples of 3 have a sum of 36. What is the greatest number?
- Three consecutive odd numbers have a sum of 75. What is the greatest number?
- Samantha's notebook has 14 pages more than three times as much as Lisa's notebook. If Samantha's notebook has 260 pages, how many pages are there in Lisa's notebook?
- Three consecutive natural numbers have a sum of 30. What is the least number?
- Moxie wants to have $5000. money does she have to deposit in an account at 6% interest, compounded 3 times per year, in order to have $5000 at the end of 4 years?
- If the sum of a number and eight is tripled, the result is two less than twice the number. How do you find the number?
- The sum of two numbers is 6. If twice the smaller number is subtracted from the larger number the result is 11. How do you find the two numbers?
- A lady reaches her office 20 mins late by travelling at a speed of 20 km/h and reaches 15 mins early by travelling at a speed of 30 km/h. By how much time(early or late) will she reach her office if she travels at 25 km/h?
- The letters #R, M, O# represent whole numbers. If #RxxMxxO=240, RxxO+M=46, R+MxxO=64#, then what is the value of #R+M+O#?
- A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 440 feet. Determine the flag's length and width if the length is 60 feet greater than the width?
- Bob wants to cut a wire that is 60 cm long into two pieces. Then he wants to make each piece into a square. Determine how the wire should be cut so that the total area of the two squares is a small as possible?
- There are 25 students in Mrs. Venetozzi's class at the beginning of the school year, and the average number of siblings for each student is 3. A new student with 8 siblings joins the class in November. What is the new class average for number of siblings?
- A carpenter used 29 ft of molding in three pieces to trim a garage door. If the long piece was 1 ft longer than twice the length of each shorter piece, then how long was each piece?
- Last week, a candle store received $355.60 for selling 20 candles Small candles sell for $10.98 and large candles sell for $27.98 How many large candles did the store sell?
- A triangle has sides with lengths of 36 yards, 47 yards, and 30 yards. Is it a right triangle?
- The sum of two numbers is 80. lf three times the smaller number is subtracted from the larger number, the result is 16. How do you find the two numbers?
- A race boat covers a distance of 60 km downstream in one and a half hour.It covers this distance upstream in 2 hrs. The speed of race boat in still water is 35 km/hr.Find the speed of the stream ?
- Find the smallest integer for which #756k# is a multiple of #1584#?
- The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches. then the area of the resulting rectangle is 24 square inches What is the area of the original rectangle?
- If Jared has 4 less than 3 times the number of trophies Zachary has how many does Jared have?
- How many pounds of seed worth $1.05 per pound must be mixed with 30 pounds of seed worth $0.90 per pound in order to produce a mixture to sell for $1.00 per pound?
- Question #802ca
- A customer went to a garden shop and bought some potting soil for $12.50 and 6 shrubs. If the total bill was $71.00, how much did each shrub cost if they all cost the same?
- Greg is 18 years older than his sister Gloria. In 6 years, he will be twice as old as Gloria. How old is each of them now?
- A square has sides of length s+3. What is the area of the square?
- Four times the larger of two numbers is equal to seven times the smaller The sum of the numbers is 22. How do you find the numbers?
- Alexandria is 45. She is also 6 less than three times Kira's age. How old is Kira?
- If 10 balloons cost $0.15, how much would 50 balloons cost?
- Question #8f02c
- Question #b5a9e
- Sally has a total of 40 quarters and dimes worth $6.55. How many of each does she have?
- The product of number x and -6 is equal to the sum of the same number x and 21?
- What times 6 equals 100?
- Tony operates a skate rental company. He charges an equipment fee of $3 plus $6 per hour. Which equation represents this linear relationship?
- For a house call, a veterinarian charges $70, plus $40 an hour. How do you write an equation that represents the total fee?
- Six times the reciprocal of a number equals 3 times the reciprocal of 2. How do you find the number?
- Penny spent a total of $35.75 on 3 DvD's and a 2 Blu Rays. lf each DvD cost $5.75, how much did each Blu Ray cost?
- Tim can type 30 words in 3/4 of a minute. Justin can type 32 words in 4/5 of a minute. How many words can Tim and Justin type altogether in 5 minutes?
- Question #7c8a4
- Question #c2710
- Chris is reading a 230-page book. He has already read 38 pages. If he reads 12 pages per day, how many days will he have to read to finish the rest of the book?
- A piano wire is 35" long. A note can be produced by dividing this wire into two parts so that three times the length of the shorter piece is twice the length of the longer piece. What is the length of the shorter piece?
- Question #8b3fb
- Question #be3fc
- Job B pays $14.80 per hour. How much money would she make in a year. Assume the pay is based on fifty-two 40-hour weeks?
- If the width of rectangle is 5 cm more than one-half of its length the perimeter is 70 cm, what are the dimensions of the rectangle?
- It's costs $3 to bowl a game and $2 for shoe rental. How do you write an expression for cost of g games?
- Brad typed in 48 minutes a report that had 2,876 words. About how many words per minute did Brad type?
- A washer and dryer cost a total of $1101. The cost of the washer is two times the cost of the dryer. How do you find the cost of each item?
- A change machine changes dollar bills into quarters and nickels. lf you receive 12 coins after inserting a dollar bill, how many nickels did you receive?
- Choy has $25 in his lunch account at school. He spends $3 each day to eat in the cafeteria. What is Choy's lunch account balance after two weeks of buying his lunch in the cafeteria?
- Ben wants to buy 2 blue sweaters for $119 each and 3 brown sweaters for $44 each. How much will Ben spend on the five sweaters?
- To paint his house, Samuel bought 2 cans of paint and one roller for $30. When friends came over to help, he went back to the store and bought three more cans of paint and two more rollers for $50. How much did he pay for a roller?
- How do you find the dimensions of a rectangle if the length is 1 more than twice the the width and the area is 55 m?
- Do all the natural numbers added up equal -1/12? If so, how?
- Question #d2ca6
- Mufasa is 3 years older than Rafiki and Simba is twice as old as Mufasa. The sum of their ages is 57. How old is Mufasa?
- Jim has run 17 minutes so far today, The number of additional minutes he wa run wabe at least 9 What are the possible total numbers of Minutes he will run?
- The price of a brick today is 49 cents. This is 3 cents less than 4 times the price 20 years ago. What was the price 20 years ago?
- Two times a number added to another number is 25. Three times the first number minus the other number is 20. How do you find the numbers?
- One number is four less than a second number. Twice the first is 15 more than 3 times the second. How do you find the numbers?
- John can finish a job in 8 hours whereas Sally only needs 5 finish the job. How quickly can they finish the job if they are working together?
- One number is seven less than a second number. Twice the first is 10 more than 6 times the second. How do you find the numbers?
- The local print shop advertises a special to print 800 flyers for less than their competition. The price includes a $5.50 set-up fee. If the competition charges $32.50, what does the Print Shop charge for each flyer?
- The equation for finding the area of a trapezoid is #A=1/2(b1+ b2)h#. What is the equation solved for h?
- Question #8e764
- Bhagwanti inherited Rs 12000 . She invested part of it as 10 % and the rest at 12 %.Her annual income from these investments is Rs 1280 .How much did she invest at each rate ?
- It costs $7.50 to enter a petting zoo. Each cup of food to feed the animals is $2.50. If you have $12.50, how many cups can you buy?
- The sum of sixteen and six times a number t is eighty-two. What is the number?
- An electrician charges $60 to come to your house. She also charges $40 for each hour that she works. The electrician charges you a total of $200. How many hours does the electrician work at your house?
- The length of a rectangle is 7 yards less than 4 times the width, the perimeter is 56 yards, how do you find the length and the width of the rectangle?
- Lori has 19 more than twice as many customers as when she started selling newspapers. She now has 79 customers. How many did she have when she started?
- The Tigers won twice as many football games as they lost. They played 96 games. How many games did the win?
- Keith sold half of his comic books and then bought 9 more. He now has 15. How many did he begin with?
- Angie Applegate has a photograph for which the length is 2 inches longer than the width. If she increases each dimension by 4 inches, the area is increased by 88 square inches. How do you find the original dimensions?
- Twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. How do you find the two numbers?
- Jack is thinking of a number. Eight more than the product of 5 and the number is 93. How do you find Jack's number?
- The sum of three consecutive odd numbers is 183. What is the smallest of the three numbers?
- If i add four times a number, the result is five less than five times the number . What is my number ?
- You have a stock of two blends of dry mix sand and cement that you wish to blend to give you 10 tons at 40% cement content. ?
- Ruthann, a supervisor on the project, saves $2 of every $25 she earns. If Ruthann earns $1,750 per month, how much does she save?
- A car can travel 476 miles on 14 gallons of gas. How do you write equation relating the distance d to the number of gallons g. How many gallons of gas does this car need to travel 578 miles?
- Two numbers total 36 and have a difference of 12. How do you find the two number?
- The revenue for a vehicle rental store is $5460. There were 208 cars and 52 vans rented. A van rents for $10 more than a car. How do you write and solve a system of equations that represents this situation?
- At a sandwich shop, sandwiches cost $1.50 each and fruit drinks At cost $.40 each. If a bill for an order of 20 items was $17.00, how many fruit drinks were ordered?
- A first number plus twice a second number is 14, Twice the first number plus the second totals 37. How do you find the numbers?
- What is a multiplication or division a sentence using 1/2 that gives you 3?
- Stephanie s age is 4 years less than 3 times Matthew's age. If the product of their ages is 260, how old is Stephanie?
- Two numbers have a difference of 20. How do you find the numbers if the sum of their squares is a minimum?
- The sum of two numbers is 12. When three times the first number is added to 5 times the second number, the resultant number is 44. How do you find the two numbers?
- Jimmy had twice as many apples as bananas, 5 more pears than bananas, how many of each fruit did jimmy have?
- Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week, but can work no more than 12 hours a week. How do you write a system of linear equations?
- Eight more than four times a number is the same as two less than five times the number. What is the number?
- How do you write an equation equivalent to the verbal statement: "three times the sum of a number n and 7 is 16?
- How do you find the two positive real numbers whose sum is 40 and whose product is a maximum?
- Three numbers whose sum is #54# are such that one is double another and triple the other. What are the three numbers?
- Two numbers have sum #-37# and product #300#. What are the numbers?
- Among all pairs of numbers whose sum is 100, how do you find a pair whose product is as large as possible. (Hint: express the product as a function of x)?
- Cierra has 3 more than one half as many purses as Aisha. Define a variable and write an expression to represent the number of purses in Cierra's collection. Then find the number of purses in Cierra's collection if Aisha has 12 purses?
- How do you find two positive numbers such that the sum of the squares of the two numbers is 169 and the difference between the two numbers is 7?
- Abag contains green marbles and blue marbles, 16 in total. The number of green marbles is 8 less than 2 times the number of blue marbles, How many green marbles are there?
- When 4 is added to one-half the number x, the result is the same as if 2 had been subtracted from the number x. How do you write an equation that expresses this relationship?
- The perimeter of a rectangle is 56 feet. The width of the rectangle is 8 feet less than the length. How do you find the dimensions of the rectangle?
- Jerome added two numbers. The sum was 83. One of the numbers was 45. What was the other number?
- The length of a rectangle is 6 in. more than its width. Its area is 40 sq. in. How do you find the width of the rectangle?
- Kayla is 9 years older than twice Hannah's age. If the difference in their age is 16, how old is Kayla? How old is Hannah?
- The sum of 6 consecutive integers is 393. What is the third number In this sequence?
- If two adults and three children go to the movies, it costs $31.50. lf one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?
- Aiden wrote a riddle: Five less than 1/5 times a number is the same as the sum of the number and 1/3. How do you find the number?
- What fraction is equivalent to 4/8 and has a numerator that is five less than three times the denominator?
- If Zoe's mom is 35, and Zoe is 23 years younger, how old is Zoe?
- Rebekah is going to leave a 20% tip for her meal. Let c represent the cost of her dinner. How do you write two expressions that can be used to calculate the cost of a dinner?
- You buy a bike for $150 and sell it for $210. What is your profit?
- If a person rolls doubles when tossing two dice, the roller profits $90. lf the game is fair, how much should the person pay to play the game?
- If 30 boys and girls went to the zoo and there were 6 more boys than girls, how many girls went to the zoo?
- Tim is 10 years old. His sister Amy is 4/5 Tim's age Tim's mum is 4.25 times as old as Amy. How old is Tim's mum?
- The sum of 11 and the product of a number and 6 is 53. What is the number?
- Four more than the quotient of a number and 3 is 11. What is the number?
- Nineteen is 5 less than twice a number. What is the number?
- Twice a number subtracted from 30 is the same as three times that num added to 15. How do you find the number?
- How do you find three consecutive odd integers such that the sum of all three is 36 less than the product of the smaller two?
- Jack has $4 More than shea. Together they have $60. how much dose each have?
- Dan and Kate used two different treadmills to exercise. The total distance walked between them was 3.7 miles. How do you state what quantity the variable x represents and express the second quantity in terms of x?
- How many times does the digit #4# occur in the page numbers of a #50# page book?
- At the Beltway Outlet store, you buy x computer games for $13 each and a magazine for $4. How do you write an expression in simplest form that represents the total amount of money you spend?
- Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area to enclose at least 1800 square feet. What are the possible widths of the play area?
- How do you give an example of a problem that could be solved using the expression #9.5 times (8 +12.5)#?
- Jessie's Canoes rents canoes for $20 for the canoe plus $35 per hour. You do not want to spend more than $150. What is the maximum number of hours that you can afford to rent a canoe?
- The sum of the square of a positive number and the square of 2 more than the number is 74. What is the number?
- Three consecutive odd integers are such that the square of the third integer is 345 less than the sum of the squares of the first two. How do you find the integers?
- The square of a number plus the number is 12. What is the number?
- The product of some negative number and 7 less than three times that number is 6. How do you find the number?
- John wanted to go to Florida for Christmas. He needs $350 for his hotel stay and $55 for gas. He has $128 for the trip. How do you write an equation showing the amount of money John still needs in order to take his trip and solve?
- The sum of two integers is 41, and their difference is 15. How do you find the integers?
- Students can buy tickets to a basketball game for $2.00. The admission for nonstudents is $3.00. If 340 tickets are sold and the total receipts are $740, how many student tickets are sold?
- The length of a rectangle is 5 m more than its width. If the area of the rectangle is 15 m2, what are the dimensions of the rectangle, to the nearest tenth of a metre?
- Question #bb4cc
- Three consecutive odd integers have a sum of 39. What are the numbers?
- A lifeguard marks off a rectangular swimming area at a beach480 m of rope. What is the greatest possible area she can enclose?
- 7000 shirts can be sold for $61.00 and 8000 shirts can be sold for $52.00, How do you give linear equation p=mn+b?
- He paid $4.29 for every 3 protein bars he bought. He bought 9 protein bars in all. Which equation can be used to determine b, the total amount Coach Fowler spent on protein bars?
- Amy buys 4 cans of soup at the store for a total of $5.00. Which equation represents the cost y, in dollars, of buying x cans of soup given that the cost is proportional to the number of cans of soup?
- What times 4 over 9 equals -8?
- Given 3x+y=9 how do you solve for y?
- The average of the first 7 numbers was 21. The average of the next 3 numbers was only 11. What was the overall average of the numbers?
- Suppose you have $40 and earn $7 per hour. How many hours must you work until you have $131?
- Sarah is 25 years older than her son Gavin, In ten years, Sarah will be twice Gavin's age, How old are Sarah and Gavin now?
- Admission to a local aquarium is $10 for adults and $7 for children. The aquarium collected $6,459 from the sale of 783 tickets. How many children's tickets were sold?
- Jack is 5 years younger than Mary. The sum of their ages is 37. If m represents Mary's age, which equation could be used to find m?
- Perimeter of a rectangle is 60 cm. The length is four times the width What are the length and the width of the rectangle?
- Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the store. How many movies did she rent?
- You are selling tickets to a football game. Student tickets cost $4 general admission tickets cost $7. You sell 241 tickets and collect $1315. How many of each type of ticket did you sell?
- Point B is between A and C. If AB is 13 and BC is 5, then what is the length of AC?
- The sum of three consecutive numbers is 42. What is the smallest of these numbers?
- A new issue of Padma's favorite magazine comes out every month. If she buys the magazine at the bookstore, the cost is $5 per month. If she subscribes, the cost is $57 per year. Should Padma buy each issue separately or should she get a subscription?
- Rob rented a bike from Ming's Bikes. It cost $11 plus $8 per hour. If Rob paid $51 then he rented the bike for how many hours?
- Fran has an average homework score of 92. Her quiz score average is 68, and her test score average is 81. What final grade can Fran expect?
- Dra pays $132 for shoes and clothes. The clothes cost $54 more than the shoes. How much do the shoes cost?
- One fourth of a number decreased by 10, is -50. How do you find the number?
- Question #4148c
- Mark is 11 years older than his sister. In 8 years he he will be twice as old as she will be then. How old are they now?
- The length of a rectangular field is 2 m greater than three times its width. The area of the field is 1496 m2. What are the dimensions of the field?
- Ashley is buying balloons for her little brother's birthday party. She needs to buy 240 balloons lor her brother's birthday. The store sells 3 balloons for $2.00. How much will she spend on 180 balloons?
- The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. How do you find the dimensions of the rectangle?
- A number subtracted from 16 is -3. What is the number?
- Maricella has a bag containing some nickels and quarters. The 25 coins the bag total $3.45. How many of many of the each coin are in the bag?
- Lisa and Jan found that 5 times the sum of a number and -2 equals 30. What is the number?
- Question #9fa95
- Question #882d8
- Question #3d2b8
- Billy plans to paint baskets. The paint costs $14.50. The baskets cost $7.25 each. How do you write an equation that gives the total cost as a function of the number of baskets made. Determine the cost of four baskets?
- The sum of two and the quotient of a number and eight is negative seven. What is the number?
- The expression w/30 where w is a person's weight in pounds, is used to find the approximate number of quarts of blood in the person's body. How many quarts of blood does a 120-pound person have?
- Aaron has 21 coins that are nickels and dimes. If his total is $1.65 how many of each type of coin does he have?
- During the day, Sam spent $4.85 on lunch. He also bought 2 books for $7.95 each. At the end of the day, he had $8.20 left. How much money did he start with?
- On Friday, a museum had 185 visitors. On Saturday, there were twice as many visitors as Friday. On Sunday, 50 fewer people visited than Saturday. How many people visited the museum during these three days?
- The mean weight of 25 students in a class is 58 kg. The mean weight of a second class of 29 students is 62 kg. How do you find the mean weight of all the students?
- How do you find 4 consecutive odd integers with a sum of 18?
- It takes Brad 2 hours to mow his lawn. It takes Kris 3 hours to mow the same lawn. At the same pace, how long would it take them to mow the lawn if they do the job together?
- Cristiano is saving money to buy a bike that costs $189. He has saved $99 so far. He plans on saving $10 each week. In how many weeks will he have enough money to buy the bike?
- A sum of money was divided between A and B so that A's share was to B's share as 5 is to 3. Also, A's share exceeded #5/9# of the whole sum by $50. What was each share?
- Janice is going on vacation and needs to leave her dog at a kennel. Nguyen'ts Kennel charges $15/day plus $20 processing fee. The Pup Palace charges $12/day and a $35 processing fee. After how many days is the Pup Palace Kennel cheaper than Nguyen's?
- What are two integers that have a sum of -3 and a product of -10?
- When Jon went running in the park, he found 9 coins worth a total of $1.80. The coins were quarters and dimes. How many of each did he find?
- There are 64 in a soccer tournament. Each team plays until it loses one game. There are no ties. How many games are played? You may want to draw a diagram to look for a pattern.
- Eight less than 3 times a number is equal to 3 plus twice the number. What is the number?
- Question #f67de
- You earn $20 per hour landscaping a yard. You pay $1.50 in bus bus fare each way. How many hours must you work to earn $117?
- Lisa's and her dad's ages combined are 51. Her dad's age is 4 less than 4 times her age. How old is Lisa?
- James and Linder got married and got new jobs Chic Linder in earns $3400 per year more than James. Together, they earn $82,300 per year. How much does each of them earn per year?
- Ast week Jill ran 31 miles more than Amanda. Jill ran 42 miles. How many miles did Amanda run?
- Question #b729f
- Question #dd112
- Question #dfbed
- The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?
- The product of two consecutive odd integers is 899. How do you find the integers?
- The product of two consecutive odd integers is 143. How do you find the integers?
- Jack usually mows his lawn in 6 hours Marilyn can mow the same yard in 4 hours How much time would it take for them to mow the lawn together?
- Andres just bought a new television for $742.00. He made a down payment of $52.00 and will pay monthly payments of $30.00 until it is paid off. How many months will Andres be paying?
- Manuel just bought a new television for $629.00. He made a down payment of $57.00 and will pay monthly payments of $26.00 until it is paid of. How many months will Manuel be paying?
- Question #28d19
- A father is four times as old as his daughter. In 6 years, he will be three times as old as she is. How old is the daughter now?
- Lisa, an experienced shipping clerk, can fill a certain order in 10 hours. Tom, a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order?
- The sum of two natural numbers equals 120, in which the multiplication of the square of one of them by the other number is to be as maximum as possible, how do you find the two numbers?
- How much money is 56 nickels 210 pennies 71 quarters and 130 dimes?
- A bow is made from #2 2/3# yards of ribbon. Which expression gives the number of bows that can be made from #22 5/8# yards?
- How do you write a word problem for 2k-10=6?
- The product of two numbers is 340 If one number -17, how do you find the other number?
- Question #db383
- The Jurassic Zoo charges $12 for each adult admission and $6 for each child. The total bill for the 205 people from a school trip was $1590. How many adults and how many children went to the zoo?
- Each child ticket for a ride cost three dollars while each adult ticket cost five dollars. If the ride collected a total of $115 and 33 tickets were sold how many of each type of tickets were sold?
- In a recent golf match,Tigers score was 4 less than Phil's score. Their combined scores totaled 140. Let p represent Phil's score and t represent Tiger's score?
- A package of pencils cost $6.25 per set at an office supply store which equation can be used to determine the price, P, of n sets of these pencils?
- Question #d2fd5
- A weekend at the beach bay hotel in Florida includes 2 nights and 4 meals for $195. A full week at the hotel includes 7 nights and 10 meals for $650. How much does 1 night and 1 meal cost?
- A rectangular park has a length that is 10 less than three times its width. Given the perimeter of the park is 180 feet, how do you find the area?
- Your school sold 456 tickets for a high school play. An adult ticket cost $3.50 and a student ticket cost $1. Total tickets sales equaled $1131. How do you write an equation for the ticket sales?
- A rectangular table is three times as long as it is wide. If the area is 108 square feet, how do you find the length and the width of the table?
- A set of dishes was marked up 150% from an original cost of $30. If Allen bought the set of dishes and paid 12% sales tax, how much in total did he pay?
- The sum of 6 consecutive odd numbers is 20. What is the fourth number in this sequence?
- A rectangular table is four times as long as it is wide. lf the area is 100 square feet, how do you find the length and the width of the table?
- A company ordered 10 boxed lunches from a deli for $74.50. Each boxed lunch cost the same amount. Which equation represents the proportional relationship between y, the total cost of the boxed lunches, and x, the number of boxed lunches?
- The product of two consecutive odd integers is 783. How do you find the integers?
- Janet, an experienced shipping clerk, can fill a certain order in 3 hours. Tom, a new clerk, needs 4 hours to do the same job. How long does it take them working together?
- Last year, Lena biked 318 miles. This year, she biked m miles. Using m, how do you write an expression for the total number of miles she biked?
- An angle is one more than twice its complement. What is the angle?
- What is the perimeter of the rectangle with length #5a+7b# and width #3a+5b#?
- The sum of the measures of angles x and y is 127 degree. If the measure of #anglex# is 34 more than half the measure of #angle y#, what is the measure of each angle?
- Question #ad497
- An instructor makes #$15# more per hour than an assistant. If the combined hourly wage of the instructor and assistant is #$65#, what is the hourly wage of the assistant?
- 2 less than the product of 6 and a number, what is x?
- Each are of quarters and nickels is worth $3.70. There are 22 coins in all How many of there?
- The sum of two numbers is -16. Three times the larger equals the smaller. How do you find the larger number?
- The sum of two numbers is 4. Twice the larger is 11 more than the smaller. How do you find the smaller number?
- Together, Tim and Tom have $2.40. Tim has three times as much as Tom. How much does each have?
- A baseball bat and 8 baseballs cost $163.25. The bat costs $106.45. What is the cost c of one baseball?
- #angleDEF# and #angleFEG# are supplementary. #mangleDEF =(9x+ 1)# and #mangleFEG=(8x+9)#, how do you find the measures of both angles?
- Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. How do you find the numbers?
- Question #067c3
- Question #0d824
- A contractor is pouring a concrete driveway. The perimeter is 108 ft. What length will the driveway be if the width is 12. How long is the driveway?
- Mika's gym allows her to bring 3 guests for free. After the first three, she must pay $7 per guest. How many guests, g, can she bring to the gym if she pays $42?
- Admission to a circus is $16 for adults and $8 for children. How do you write an expression to find the total cost of 3 adult tickets and 8 children's tickets, Then find the total cost?
- The three sides of a triangular lot are represented by x, 2x and 3x+2. How do you find each side if the perimeter of the triangular lot is 362 feet?
- The winner in a recent Los Angeles Marathon ran the 26-mile race in 2.23 hours. How many yards per minute did he run?
- In a baseball game, Nora had 3 hits less than half the number of hits the team had. Nora had 2 hits. How many hits did the team have?
- Gregory's nine chickens laid an average of six eggs each per week. Gregory sold those eggs for $3 per dozen. How much money did he collect in two weeks if he sold all his eggs?
- If the total of the cousins ages is 41. and x represents Ambers age, which expression represents the sum of their ages?
- The difference of two numbers is 3. Their sum is 13. How do you find the numbers?
- Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?
- How do you write an equation that means "3 times a number, plus 8 is 29"?
- Jane has 6 more than half the number of pairs of shoes that Mercedes has. How do you write an expression for this?
- The sum of five and eight times a number is the same as fifty plus one-half the number. How do you find the number?
- The measure of an angle is 3 times the measure of its complement. What is the measure, in degrees, of the angle?
- Phillip bought 12 used CDs and DVDs. CDs cost $2 each, and DvDs cost $3 each. He spent $31, not including tax. How many DVDs did Phillip buy?
- Soda is on sale for $0.75 a can, and you have a coupon for $0.50 off your total purchase. How do you write a function rule for the cost of n sodas. How much would 10 sodas cost?
- The plans for a shed call for a rectangular floor with a perimeter of 198 ft. The length is The two times the width. How do you find the length and width?
- Shalina uses the expression 3x to determine the cost of x notebooks. What is the cost of 24 notebooks?
- A fitness center charges $3 a monthly fee of $30. How much would it cost in one month if Ella ha 18 visits?
- The length of a rectangle is one more than four times its width. if the perimeter of the rectangle is 62 meters, how do you find the dimensions of the rectangle?
- How do you write an equation to represent the statement "seven less than the sum of x and 10 is 32"?
- The sum of the ages of two sisters is 12 years, and the difference in their ages is 6 years. What are their ages?
- The sum of two consecutive odd integers is -16. What are the two integers?
- Suppose that 17 inches of wire costs 51 cents. At the same rate, how many inches of wire can be bought for 42 cents?
- Ozzy's limo company charges $300 to rent a car and $10 for each mile travelled while Geezer's limo company charges $60 to rent a car and $30 for each mile traveled. How many miles would you have to travel for the costs to be the same?
- You are planting a rectangular garden. It is 5 feet longer than 3 times its width. The area of the garden is 250 ft. How do you find the dimensions of the garden?
- Claire bought three bars of soap and five sponges for $2.31. Steve bought five bars of soap and three sponges for $3.05. How do you find the cost of each item?
- How do you find three consecutive odd integers such that the product of the two smaller exceeds the largest by 52?
- Suppose you have 12 coins that total 32 cents. Some of the coins are nickels and the rest are pen How many of each coin do you have?
- Merin earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. She worked 48 hours this week and earned $650. What is her normal hourly rate?
- One number is 9 more than another number. If the product of the two numbers is -20, how do you find both numbers?
- How do you find three consecutive odd integers such that he sum of the first and twice the second is 6 more than the third?
- The square of a positive number is 56 more than the number itself. What is the number?
- A shoe store costs $1800 dollars a month to operate. The average wholesale cost of each pair of shoes is $25, and the average price of each pair of shoes is $65. How many pairs of shoes must the store sell each month to break even?
- Davindra, who is 15 years old, is one year older than twice the age of her younger sister, Preetha. How do you find the age of Preetha and justify each step?
- Question #ee3e4
- Question #72496
- Four friends bought movie tickets for $41.The next day seven friends bought movie tickets for #71.75. What is the price of one ticket?
- How do you find two consecutive integers whose product is 58?
- Shawna noticed that the distance from her house to the ocean, which is 40 miles, was one fifth the distance from her house to the mountains. How do you write and solve a division equation to find the distance from Shawna's house to the mountains?
- 7 Times a number equals 3 less than 5 times that number. What is the number?
- A bakery makes 15 pies. They sell pieces that are 1/4 of the pie. How many pieces can they sell from 15 pies? How do you write an expression and solve?
- If a number is added to twice its square, the result is 6. How do you find the number?
- A regular hexagon has six sides of equal length. If a regular hexagon is made from a 36-inch-long string, what is the length of each side?
- The product of seven and a number, reduced by 2 equals triple the same number, raised by 4. How do you find the number?
- Matt saves the same amount each week. At end of 3 weeks he has $12. How many weeks will it take him to 36$?
- Nick opens a savings account with $50. Each week after, he deposits $15. In how many weeks will he have saved $500?
- Eight more than the square a number is the same as 6 times the number. How do you find the number?
- 20 multiplied by a number, decreased by 15 equals 25. How do you find the number?
- A single-serving carton of yogurt costs 73 cents. A case of 8 single-serving cartons costs $5.36. How much is saved per carton by buying the yogurt by the case?
- How do you find the measure of an angle that is half the measures of its complement?
- If five times a number is decreased by 30, the result is the same as when two times the number is increased by 18. What is the number?
- An MP3 player costs $70 and song downloads cost $0.85 each. How do you write an expression that represents the cost of the MP3 player and x number of downloaded songs. Then find the total cost if 20 songs are downloaded?
- Joey decides to empty his piggy bank and his money. His bank is with only nickels and dimes. Joey counted a total of that up to $3.15. How many nickels and how many dimes does Joey have in his pi bank?
- Parking garage charges $1 for the first half-hour and $0.60 for 2. A each additional half-hour or portion thereof. If you have only $6.00 in cash, how long can you park?
- The difference of two numbers is 1. Their sum is 13. What are the numbers?
- Lea wants to put a fence around her garden. Her garden measures 14 feet by 15 feet. She has 50 feet of fencing. How many more feet of fencing does Lea need to put a fence around her garden?
- The lengths of the sides of triangle RST are consecutive odd integers. The perimeter of the triangle is 63 meters. What is the length of the longest side?
- Jesus purchased cookies for a party. He bought 11 cookies for $.51 each and 12 cookies for $.62. How much money did he spend on cookies?
- A retailer charges a flat handling fee of $5.00, plus $0.75 per quarter pound, to ship an item. Bailey pays $9.50 to have an item shipped from the retailer. What is the weight of the item?
- Rachel needs to write 3 book reports with b pages and 3 science reports with s pages during the school year. How do you write an algebraic expression for the total number of pages Rachel will need to write?
- The sum of two mystery numbers is 40. The bigger number is ten more than twice the smaller number. What are the two mystery numbers?
- The difference of a number p and -9 is 12. What is the number?
- For #9x+25=88#, Deena wrote the situation "I bought some shirts at the store for 9$ each and received a $25 discount. My total bill was $88. How many shirts did I buy?" What was Deena's mistake?
- Naomi has 45 minutes to get ready for school. She spends x minutes getting dressed. How do you write an expression that represents the number of minutes she still has to get ready?
- One integer is 15 more than 3/4 of another integer. The sum of the integers is greater than 49. How do you find the least values for these two integers?
- Question #cb859
- Question #3f034
- Question #70147
- Question #c18f2
- If 294 is 70% of the songs Jorge has on his phone. How many total songs does Jorge have on his phone?
- Renting a calculator at Hermione's school costs $1.39 for the first day and then 50 cents for any subsequent days. How much does it cost Hermione to rent a calculator for 7 days?
- Question #0e0c3
- Question #27312
- There are students and benches in a classroom . If 4 students sit in each bench, 3 benches are left vacant.But if 3 students sit in a bench, 3 students are left standing.What are the total no. of students ?
- Suman takes 3 hrs more than rashmi in walking.If suman doubles her speed,she will take 2 hrs less than Rashmi.If speed of rashmi is 1.5 km/hr.Find the speed of Rashmi and Suman ?
- Question #6cb7e
- Question #f42f5
- Question #b63e0
- Question #bd302
- Question #2f094
- Question #61600
- If two sides of a triangle are #3# and #5#, in what interval can we have the third side?
- Question #390cd
- An algebra teacher drove by a farmyard full of chickens and pigs. The teacher happened to notice that there were a total of 100 heads and 270 legs. How many chickens were there? How many pigs were there?
- Question #7feb1
- Between which two consecutive integers does the square root of #36# lie?
- Question #fe19f
- A car passes a landmark traveling at a constant rate of 45 km/h. 2 hours later, a second car passes the same landmark traveling in the same direction at 70 km/h. How much time after the second car passes the landmark will it overtake the first car?
- What is the maximum possible value of #k# for which 2013 can be written as a sum of #k# consecutive positive integers?
- The value of a share of stock decreases in value at a rate of $1.20 hour during the first 3.5 hours of trading. How do you write and solve an equation to find the decrease in the value of the share of stock during that time?
- The product of two numbers is 144, and the sum of the two values is -7. What is the value of the smaller of the two numbers? A) 1 B) 5 C) -9 D) 14
- The product of two integers is #-120# and their sum is #2#. How can you find the larger of the two numbers?
- Question #c69de
- The ages of John and Martha together are 28 years. If John is 4 years older than Martha. What is Martha's age?
- A person has a total of 65 coins in a jar consisting of quarters and nickles. The total value of the coins is $10.25. How many quarters and nickles does the person have?
- Question #09e08
- Question #1f851
- 1 file and 1 notebook cost $10. 1 file and 1 pen cost $6. Each notebook costs thrice as much as a pen. How much does 1 file cost?
- If eggs are $2.00 a dozen and cost $1.00 per pound, how much does an egg weigh?
- Ben bowled 129 and 206 in his first two games. What must he bowl in his third game to have an average of at least 190?
- A salesperson is paid $110 per week plus 15% commission on her weekly sales of x dollars. How do you find a linear function that represents her total weekly pay w in terms of x?
- How do you answer question 25?
- Question #3f49a
- The length of rectangle is 5 more than the width. The perimeter is 22 feet. How do you find the length and width?
- The sum of two numbers is 48, their difference is 24. What are the numbers?
- Three-fourths of a number is 7/8. How do you find the number in lowest terms?
- Question #901ee
- A class had 14 boys with an average height of 5.3 feet. A new boy joined the class. Now the average of the 15 boys in the class was 5.25 feet. How tall was the new boy?
- Question #bf9ab
- Juwan is 36 years younger than Christy. Eight years ago, Christy's age was three times older than Juwan's age. How old is Juwan currently?
- Question #0f3e3
- Question #4bb95
- Question #2de14
- The average of two numbers is 41.125, and their product is 1683. What are the numbers?
- How many numbers greater than #300# can you make with the digits #1#, #2#, #3#, #4#, #5# and #6# ?
- Question #4566a
- Question #73790
- Question #9afd5
- Question #45f47
- How do you ensure that there are no losers in a game?
- Question #46a3f
- 75 people attended a baseball game. Everyone there was a fan of either the home team or the away team. The number of home team fans was 90 less than 4 times the number of away team fans, How many home team and away team fans attended the game?
- Question #b381c
- Question #79502
- Question #b1ad0
- There are 4 successive whole numbers that sum to -66. What are these numbers?
- Question #bd0a0
- How do you translate the following into a equation and solve: "The sum of two numbers is eighteen. Two less than three times the smaller is equal to the larger."?
- How many apples did he have when he began his deliveries?
- The total charge for a taxi ride in NYC includes an initial fee of $3.75 plus $1.25 for every #1/2# mile traveled. Jodi took a taxi, and the ride cost her exactly $12.50. How many miles did she travel in the taxi?
- Question #b415d
- Question #4ea07
- How to make x the subject?
- Question #3391d
- How do you solve the following?
- Nikki earned $185 at her summer job. She already had savings of $125.75. She buys a T-shirt for $23.50. How much money does she have left?