Linear, Exponential, and Quadratic Models

Key Questions

• How do you use the graphing calculator to find the linear regression line?

  I will be assuming you are using a TI-83 or a TI-84, as those are the most common. The entire process is quite long and elaborate, so I strongly suggest you use this pdf.

  Even if I tried to type everything up here, it would be quite long and confusing, as well as redundant.

  Jake L. · 1 · Jan 17 2015

• What is the linear regression line?
• How do you determine if the following data set is linear or quadratic: (-4,10), (-3,7), (-2,4), (-1,1), (0,-2)?
• How do you know if the following data set is exponential: (0,120), (1, 180), (2, 270), (3, 405)?
• How do you use the graphing calculator to find the linear regression line?
• How do you find the best function that models: (-3, 14), (-2, 4), (-1, -2), (0, -4), (1, -2)?
• If the same amount is added to one dimensions and removed from the other, the resulting rectangle has an area of 9 square centimeters less than the area of the square which is 81, how much is added and subtracted?
• A child care center has 440 feet of fencing to enclose two adjacent rectangular safe play areas. How do you write an expression for the total area A of the play areas in terms of x?
• How do you write the quadratic equation of the graph with the given points (-3, 4), (1,0), and (-1,-2)?
• A painter is making a rectangular canvas for her next painting. She wants the legnth of the canvas to be 4 feet more than twice the width of the canvas. The area of the canvas must be 30 feet. How do you find the dimensions of the canvas?
• Is #f(x)= 3x^2# an exponential function?
• How do you find the exponential function that contains both of these points (2,12.6) and (5, 42.525)?
• How do you find the exponential function that contains (0,-1)(-1,-3) and (-2,-9) and has an x-axis as an asyptote?
• Is #f(x)=x^2# an exponential function?
• Is #L(t)=1-e^-t# an exponential function?
• Is #g(q)=q^-2# an exponential function?
• Is #R(x)=4 ln(x)# an exponential function?
• How do you graph #f(x) = 6^x#?
• How do you graph #f(x) = 3^x+1#?
• How do you graph #f(x)=(1/7)^x#?
• How do you graph #f(x)=(1/2)^x -3#?
• How do I find the equation of an exponential function that passes through the point (4,2)?
• How do I find the equation of an exponential function that passes through (1,6) and (3,24)?
• Is #y = 3^x# an exponential function?
• Is #y = 2x - 3# an exponential function?
• Is #y = x^2 + 1# an exponential function?
• Is #y = 3x^2# an exponential function?
• How do you find the right triangle of maximum area if the sum of the lengths of the legs is 3?
• How do you find the point on the line y = x so that the distance from that point to the point (18, 0) is a minimum?
• How do you find the right triangle of maximum area if the sum of the lengths of the legs is 5?
• What is the quadratic function of a graph if the points are (-2, -4) (-1, -2.5) (0, 0) (1, 3.5) (2, 8)?
• Is #y=(x-1)(x-2)# a quadratic?
• Is #y=3x-x^2# a quadratic?
• Is #y=x^2 + 2x-3# a quadratic?
• Is #-x^2 +x(x-3)# a quadratic?
• How do you find a quadratic function f(x)=ax^2+bx+c for which f(1)=-2, f(-3)=-46, and f(3)=-16?
• How to find the quadratic function given the vertex (2,-4) and the point (1,-1)?
• Is #f(x)=(2x-3)(3x+4)# a quadratic function?
• Is #y = x^3 − 3x − 20# a quadratic function?
• Is #y = x^2 – 4x + 7 # a quadratic function?
• Is #y = 2x^4 + 9x + 17# a quadratic function?
• How can you tell if a function is linear, quadratic, or exponential when given four points (1,67) (2,80) (3,97) (4,118)?
• If a stone is tossed from the top of a 270 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 270, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground?
• The perimeter of a rectangle is 41 inches and its area is 91 square inches. How do you find the length of its shortest side?
• The sum of two numbers is 6 and their product is 4. How do you find the larger of the two numbers?
• A rectangular prism has a volume of V= 2x^3+6x^2+4x. What could the dimensions of this prism be?
• The area of a rectangle is expressed by the polynomial #A(x) = 6x^2+17x+12.# What is the perimeter of this rectangle?
• The volume of a right rectangular prism is expressed by V(x) = x^3+2x^2-x-2. What could the dimensions of the prism be?
• How do you graph #f(x) = 3^(x+1)#?
• How do you graph #f(x) = 4^x + 2#?
• How do you graph #g(x)=(5/8)^x#?
• How do you graph #y=1.1(3)^x#?
• How do you graph #y=1.1(0.1)^x#?
• How do you graph #y=3(1.10^x)#?
• How do you graph #y= 40^x #?
• How do you graph #g(x) = -(3/2)^x#?
• How do you graph #f(x)=5^x#?
• How do you graph #f(x)=7^x#?
• How do you graph #y=3(1.9)^x#?
• How do you graph #f(x)=3^(x - 2)#?
• How do you graph #f(x)=(1/2)x #?
• How do you graph #y=-2^x#?
• How do you graph #f(x)= (1/3)^(x-3)#?
• How do you graph #g(x)=(8/5)^x#?
• A bullet is fired upward from ground level. Its height above the ground (in feet) at time t seconds is given by #H = -16t^2 + 1000t#. How many seconds does it take the bullet to return to ground level?
• Juan goes to a bank and gets change for a $50 bill consisting of all $5 and $1 bills. There are 22 bills in all. How many of each kind are there?
• It takes Bob twice as long as Caitlyn to clean his room. It takes Andrea 10 minutes longer than Caitlyn to clean her room. In total they work 90 minutes to clean their rooms. How long does it take Bob to clean his room?
• If the sum of 3 consecutive even integers is 30 how do you find the numbers?
• If four times a certain even integer diminished by 16 is equal to twice its next consecutive even integer, how do you find the numbers?
• If the sum of three numbers is 138. the second is 5 more than the smallest and the third is 10 more than the smallest how do you find the numbers?
• There are 40 cows and chicken in the farmyard. One quiet afternoon, Lack counted and found that there were 100 legs in all. How many cows and how many chickens are there?
• Julia framed an oil painting that her uncle gave her. The painting was 4 inches longer than it was wide and took 176 inches of frame molding, what were the dimensions of the picture?
• A bus takes 12 hours to travel the same distance that an airplane travels in 1.5 hours. The average speed of the airplane is 120 km/hour faster than five times the average speed of the bus. What is the average speed of the bus?
• On Tuesday, a local hamburger shop sold a combined total of 564 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
• Suzie and Scott drive together for American freight. One day Suzie averaged 54 mph and Scott average 58mph, but Scott drove for 3 more hours than Suzie. If together they drove 734 miles, then for how many hours did Scott drive?
• Soybean meal is 16% protein cornmeal is 8% protein how many pounds of each should be mixed together in order to get 320 lb mixture that is 14% protein how many pounds of cornmeal should be in the mixture?
• A man sold one sort of oranges at 5 for $2, and another sort at 16 for $12. If he had sold them all at $0.5 each, he would have received $2 less. If he had sold all at 3 for $2, he would have received $18 more. How many of each sort did he sell?
• A couple travels 420 miles to drop their daughter off at summer camp. The trip back has a short cut and is only 360 miles, and the gas mileage is 50% better due to a lighter load. How do you write an equation for the total gas used, and simplify?
• The length of the rectangle is 5cm less than thrice its width. Find the dimensions of the rectangle if its area is 112cm²?
• The length of a rectangle is four times its width. If the area of the rectangle is 256m^2 how do you find its perimeter?
• If the length and width of a rectangle are doubled, by what factor is the length of its diagonal multiplied?
• The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 yd how do you find its area?
• The length of a rectangle is 3.5 inches more than its width. The perimeter of the rectangle is 31 inches. How do you find the length and width of the rectangle?
• What is the perimeter of a rectangle that has a diagonal of 14 units and a side of length 6 units?
• How do you find the maximum area of a rectangle whose perimeter is 100cm?
• The perimeter of a rectangle is 20 cm. The width of the rectangle is 4 cm. What is the area of the rectangle?
• If a rectangle is 17 ft long and 8 ft wide, what is its perimeter?
• The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, how do you find the area?
• If the area of the rectangle is 294in^2 how do you find its perimeter?
• The length of a rectangle is twice its width. If the perimeter of the rectangle is 60m, how do you find its area?
• The perimeter of a rectangle is 24 ft. The length is is 2 ft. longer than the width. What is the width and length?
• The perimeter of a rectangle is 54cm, the area of the same rectangle is 176cm squared, what is the dimensions of the rectangle?
• How do you find the area of a rectangle that is 7.5 cm long and 4 cm wide?
• The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 126 cm^2, what is the length of the diagonal?
• The length of a rectangle is four times its width. If the perimeter of the rectangle is 70yd, how do you find its area?
• The length of a rectangle is 4 cm more than its width. If the perimeter of the rectangle is 64 cm, how do you find the dimensions of the rectangle?
• What is the area and perimeter of a rectangle whose width is (x+y) and length is (3x+2y)?
• How do you classify the function f(x) = x^2 + 3 as a linear, quadratic, or exponential?
• The area of a triangle is 24cm² [squared]. The base is 8cm longer than the height. Use this information to set up a quadratic equation. Solve the equation to find the length of the base?
• If the area of a square is 64 square units, what is perimeter?
• What is the area of square whose perimeter is 24 inches?
• What is the perimeter of a triangle where the sides measure 6,8,and 10 inches?
• A rectangular field has sides of 87.3 m and 39.4 m, what is the formula for the perimeter?
• What is the perimeter of a parallelogram with sides of 2 and 3?
• A square has an area of 196 cm2, what is the perimeter of the square?
• The perimeter of a square is not more than 80cm. What is the largest possible area of the square?
• What is the perimeter of a rectangle with one side 3cm if it had a area of 21cm?
• What is the perimeter of a regular octagon with a radius of length 20?
• What is the perimeter of a square with an area of 36?
• An equilateral triangle is circumscribed about a circle of radius 10sqrt3. What is the perimeter of the triangle?
• A square has an area of 100 sq. yards. What is the perimeter of the square?
• The height of an open box is 1 cm more than the length of a side of its square base. if the open box has a surface area of 96 cm (squared), how do you find the dimensions.?
• You have 500-foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area?
• The perimeter of a garden is 62 yd and the area is 120yd^2, how do you find the dimensions?
• If the base is x+5, what's the height, area and perimeter of a square?
• If the base is k+7 and the perimeter is 4k+20, what's the height and area of the rectangle?
• If the area is y^2+7y, what's the base, height and perimeter of the rectangle?
• What is the area and perimeter of a rectangle with x+6 on the bottom?
• I have a perfect square and its area is 121 what is the perimeter?
• I have a perfect square the area is 25 foot what is the perimeter?
• I have a perfect square the area is 36 what is the perimeter?
• How do you find the perimeter and area of a rectangle with length 5m and width 2m?
• How do you find the perimeter and area of a right triangle with sides 3in, 4in, and 5in. the right angle is formed bye the two smaller sides?
• How do you find the perimeter and area of a rectangle with length 10.4cm and width 4.9cm?
• How do you find the perimeter and area of an isosceles triangle with two equal sides of 10 feet, the base 16 feet,and the height 6 ft?
• An open box is formed by cutting squares with side lengths of 4 inches from each corner of a square piece of paper. What is a side length of the original paper if the box has a volume of 784 cubic inches?
• The weekly cost (C) of growing and selling x acres of flowers is approximated by C = 0.2x^2-12x + 240. How many acres of flowers would minimize these costs?
• Joel and Wyatt toss a baseball. The height in feet, of the baseball, above the ground is given by h(t) = -16t^2+55t+6, where t represents the time in seconds after the ball is thrown. How long is the ball in the air?
• Golfer hits the ball. the quadratic function y= -16x^2+80x gives the time x seconds when the golf ball is at height 0 ft. how long does it take for the golf ball to return to the ground?
• One number is 6 less than a second number. Twice the second number is 25 more than 3 times the first. How do you find the two numbers?
• If a number is added to its square, the result is 56. How do you find the number?
• The sum of the squares of two consecutive positive even integers is 340. How do you find the number?
• The length of a rectangle is 8cm greater than its width. How do you find the dimensions of the rectangle if its area is 105cm²?
• The sum of two numbers is 25 and the sum of their squares is 313. How do you find the numbers?
• Originally the dimensions of a rectangle were 20cm by 23cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120cm². How do you find the dimensions of the new rectangle?
• Susan is making and selling earrings. Her weekly cost for advertising is $36, and each pair of earrings cost $1.50 to produce. If Susan sells the earrings at $6 per pair, how many pairs must she sell to break even?
• Armando is comparing parking prices at a local concert, One option is a $7 fee plus $2 per hour. A second option is a $5 entry fee plus $3 per hour. What is the break-even point (intersection) for the two options? Which option do you think is better?
• To conduct a scientific experiment, students need to mix 90mL of a 3% acid solution. They have a 1% and a 10% solution available. How many mL of the 1% solution and of the 10% solution should be combined to produce 90mL of the 3% solution?
• How do you find three consecutive odd integers such that twice the sum of the smaller two integers is 25 more than 3 times the largest?
• Nadia and Kyle shared the driving on a 1250- km trip from Edmonton to Vancouver.Nadia drove for 5 hours and Kyle drove for 8 hours.Nadia drove 10km/h faster than Kyle. How fast did Kyle drive?
• The sum of Richard's age and Ruel's age is 60. Nine years ag, Richard was twice as old as Ruel then. How old is Ruel?
• The sum of the digit's of a two digit number is 9. The number is 12 times the ten's digit. How do you find the number?
• How do you find three consecutive odd integers, whose sum is 57?
• The length of a rectangle is 3 cm more than the width. The area is 70cm^2. How do you find the dimensions of the rectangle?
• If the sides of a square is increased by 3cm, the area becomes 64 cm^2. How do you find the length of a side of the original square?
• A 4m by 6m rug covers half of the floor area of a room, and leaves a uniform strip of bare floor around the edges. What are the dimensions of the rooms?
• Seven less than 4 times the square of a number is 18. How do you find the number?
• How do you find two consecutive odd integers such that the square of the first, added to 3 times the second is 24?
• How do you find three consecutive positive integers such that the square of the first, increased by the last, is 22?
• A stack of nickel and dimes is worth $2.55. How do you find the number of nickels if the number of dimes is less than twice the number of nickels?
• Suppose you work in a lab and you need a 15% acid solution to conduct a certain test, but your supplier only ships a 10% solution and a 30% solution. You need 10 liters of the 15% acid solution?
• Ann bought 35 lollipops and gave away 28 of them. What percentage of her lollipop did she have left?
• Attendance at the homecoming game decreased from 5760 fans last year to 4320 fans this year. How do you find the percent of decrease?
• Tom is 6 times as old as Todd. In 6 years Tom's age will be 3 years less than 4 times as old as Todd. How old is Tom?
• Jack has 10 whole pizzas, and he divides each pizza into 8 equal parts. He then puts equal number of parts in 4 boxes. How many whole pizzas do each box have?
• If 3 is added to the number and denominator of a fraction and the result subtracted 'by' the original fraction, the difference is 1/15. The numerator of the original fraction is 6 less than the denominator. What is the original fraction?
• How many kilograms each of a powdered detergent and a rinsing solution containing 20% of the pure detergent must be mixed to make 140 kilograms of a 24% rinsing solution?
• A group of 40 children attended a baseball game on a field trip. Each child received either a hot dog or a bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hot dogs and bags of popcorn were purchased?
• Tanisha has 7 less than 4 times as many toy cars as Fernado. If Tanisha has 9 cars, How do you write and solve an equation to find how many toy cars Fernando has?
• The combined cost of one advance ticket to a show and one same-day ticket was $65. It is known that 40 tickets were sold in advance and 35 the same day, for total receipts of $2425 . What was the price of each kind of ticket?
• John is 8 years older than Sam. The sum of their ages is 38. How old is Sam and John?
• How do you find the numbers if twice the sum of 5 times a number and 8?
• The temperature in Frost-burg is -7 Degrees C. This is 18 degrees C less then the temperature in Cold-spot. How do you find the temperature in cold spot?
• If 5kg more then 3 times Mac's Mass is decreased by twice his mass, the result is 60kg. What's Mac's Mass?
• The second of two numbers is 3 less than twice the first. Their sum is 36. How do you find the numbers?
• The larger of two numbers is 1 less than 8 times the smaller. Their sum is 179. How do you find the numbers?
• A bottle filled with water weighs 9.6 kg. If the water by itself weighs 5 times as much as the bottle, what is the weight of the bottle?
• The sum of 3 numbers is 61. The second number is 5 times the first. While the 3rd is 2 less then the first. How do you find the numbers?
• Shehkar pulls 31 coins out of his pocket. each coin is either a dime or a quarter. if he has a total of 5.95, how many dimes does he have?
• The 3rd number is the sum of the first and the second number. The first number is one more than the third number. How do you find the 3 numbers?
• A teacher has students space themselves evenly around a circle and then count off. Student number 16 is directly opposite number 47. How many students are in the class?
• Devaughn's age is three times Sydney's age. The sum of their ages is 92. What is Devaughn's age?
• Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same?
• Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?
• Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart?
• A kayaker paddled 2 hours with a 6 mph current in a river. The return trip against the same current took 3 hours. How do you find the speed the kayaker would make in still water?
• Your piggy bank has 25 coins in it; some are quarters and some are nickels. You have $3.45. How many nickels do you have?
• There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets?
• An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. How do you find the speed of the airplane in still air?
• If there are 7 people each with 6 bags, each with 6 vegetables, each with 5 seed pods, each with 4 seeds. How many seeds does each person have?
• Suppose that during a test drive of two cars, one car travels 248 miles in the same time that the second car travels 200 miles. If the speed of one car is 12 miles per hour faster than the speed of the second car, how do you find the speed of both cars?
• The number of football players is 4 times the number of basketball players, and the number of baseball players is 9 more than basketball players. If the total number of players is 93 and each one plays a single sport, how many are on each team?
• At noon a small plane left an airport and flew due east at 200 km/h. Two hours later another plane left the same airport and flew due south at 400 km/h. At what time will the planes be exactly 800 km apart from one another?
• The length of a rectangular piece of steel in a bridge is 2 meters less than triple the width. The perimeter of the piece of steel is 36 meters. How do you find the length of the piece of steel?
• Rashau made a rectangular frame for her latest oil painting. The length is 27 centimeters more than double the width, The perimeter of the frame is 90 centimeters. How do you find the length and the width of the frame?
• You have 500-foot roll of fencing and a large field. You want to construct a rectangular playground area. What are the dimensions of the largest such yard? What is the largest area?
• The perimeter of a square is 40cm. How do you find its area?
• How do you compute the area and perimeter of a isosceles triangle with base of 11.3cm and height of 26cm?
• The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width. How do you find the length and width. How would I find the answer?
• The longer leg of a right triangle is 3 inches more than 3 times the length of the shorter leg. The area of the triangle is 84 square inches. How do you find the perimeter of a right triangle?
• If a number is decreased by 9 and the difference is multiplied by three, the result is the same as twice the number decreased by ten. How do you find the number?
• The larger of two numbers is 23 less than twice the smaller. If the sum of the two numbers is 70, how do you find the two numbers?
• One number is four times another number. If the smaller number is subtracted from the larger number, the result is the same as as if the smaller number were increased by 30. What are the two numbers?
• A person wants to make an enclosed play pen using 60 meters of fence. One of the sides is against the house (thus, not requiring any fencing). What are the dimensions of the play pen to get the maximum area?
• A boat can go 12 mph in calm water. If the boat goes down a river 45 miles and back up the river 45 miles it takes him 8 hours. What is the current of the river?
• A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 548 feet of fencing is used. How do you find the dimensions of the playground that maximize the total enclosed area?
• The length of a rectangular floor is 12 meters less than twice its width. If a diagonal of the rectangle is 30 meters, how do you find the length and width of the floor?
• The perimeter of a rectangle is 54 inches and its area is 182 square inches. How do you find the length and width of the rectangle?
• A diagonal of a square parking lot is 70 meters. How do you find, to the nearest meter, the length of a side of the lot?
• Sue did a job for $120. It took her 2 hours longer than she expected, and therefore she earned $2 per hour less than she anticipated.. How long did she expect that it would take to do the job?
• How do you find the required annual interest rate, to the nearest tenth of a percent, for $898 to grow to $1511 if interest is compounded monthly for 2 years?
• How do you find three consecutive odd integers such that twice the sum of the first and third integers is 21 more than the second integer?
• If Emery has $1400 to invest at 11% per year compounded monthly, how long will it be before he has $2300. If the compounding is continuous, how long will it be?
• The big coloring books have 100 pages for $8.00 while the small coloring books have 25 pages for $2. I paid $28 and got a total of 650 pages how many of each did I buy?
• A gas tank has ends that are hemispheres of radius r ft. the cylindrical midsection is 6 ft long. express the volume of the tank as a function of r?
• If $600 is deposited in an account paying 8.5% annual interest, compounded continuously, how long will it take for the account to increase to $800?
• An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 40% more of the substance?
• A sum of $6,500 deposited in an account grows to $7,500 in 8 years. Assuming annual compounding, what interest rate is being paid?
• You deposit $5000 in an account that pays 2% annual interest compounded monthly. How much do you have after 5 years?
• One cell phone company charges $0.08 a minute per call. Another cell phone company charges $0.25 for the first minute and $0.05 a minute for each additional minute. At what point will the second phone company be cheaper?
• What is x if #log(x+10) -log (3x-8)= 2#?
• How do you convert #1/3ln(x) - 3 ln (4) - 5 ln(z)# into a single logarithm?
• Ralph jogs from his home to the stadium at 10km/h. His trip home takes exactly one hour less because he takes a car traveling at 60km/h. How far is it from Ralph's home to the stadium?
• You are selling tickets to a concert. Student tickets cost $5 and adult cost $7. You sell 45 tickets and collect $265. How many of each type did you sell?
• If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
• Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
• If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
• A dealer gives a 25% discount on the list price of a radio and still makes a 40% profit on the cost of the radio. If the cost of the radio is $30, then what is the list price of the radio?
• Two planes left an airport at noon. One flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi apart in 3 h. How fast was each plane flying?
• A rectangle had a perimeter of 48 inches. The length is 4 inches longer than the width. What's the width?
• The number of U.S. domestic trips, in millions, t years after 1994 can be estimated by p(t) = 8.8t + 954. what do the numbers 8.8 and 954 signify?
• One-third of the eighth graders in Wilson Middle School own a cell phone.If there are 240 eighth graders in Wilson Middle School, how many students own a cell phone?
• Carol received an 82, 94, and 88 on three Social Studies tests.What did Carol receive on her fourth test if her average on all four tests was 85?
• Ryan went to the store to buy a CD. The CD was on sale for 10% off. If Ryan paid $13.50 for the CD, what was the original price of the CD?
• At the carnival, Nick scored 2 points for each basket. He also received a bonus of 10 points. If Nick's total score was 90 points, how many baskets did he make?
• Mr. Sharma bought 5 juice bottles from the grocery store. Each juice bottle cost $3.00. Mr. Sharma's total grocery bill is $16.50. How much did Mr. Sharma pay in sales tax?
• A meter is a unit of length aproximately equal to 39.37 inches. If someone is 1.64 meters tall, what is his or her approximate height in inches?
• How do you find a polynomial that represents the area of a circle whose radius is b + 1 meters?
• What is the area of a circle, if the diameter is 18?
• What is the area of a sector of a circle that has a diameter of 10 in. if the length of the arc is 10 in?
• What is the area of a circle whose radius is 6 feet?
• What's the area of a circle if it's radius is 11 cm?
• What is the area of a circle if the radius is 50?
• If a circle has a radius of 9 cm, how do you find the area rounded to the nearest whole number?
• Which is the area of a circle with a diameter of 7 units?
• What is the area of a circle with diameter 34mm?
• How do you find the area of a circle with the diameter of 10?
• If the radius of a circle is 8 inches find the radius of a circle whose area is four times as large?
• Whats the area of a circle with a radius of 4?
• The radius of a circle of area and circumference is doubled, how do you find the new area of the circle in terms of A?
• What is the circumference of a circle with a radius of 10 cm?
• How do you find the radius of each circle if the area of the sector is 28 and the angle is 150 degrees?
• What is the area of the circle if the radius of the circle is #x+3#?
• If the diameter of a circle is 1 1/2 inches, what is the radius of the circle?
• If the radius of a circle is 6 inches, what is the circumference?
• What is the area of a circle with radius of 12 meters?
• A square is inscribed in a circle with radius 4 inches, how do you find the area of the region inside the circle and outside the square?
• How do you find the radius of two circles inside a rectangle if the area of it is 50cm squared?
• What is the area of a circle with diameter 30 cm?
• If the radius of a circle is 8 inches, what is the area?
• The radius of a circle is 5.5 cm. What is the circumference in meters?
• What is the area of a circle with radius 14?
• What is the area circle that has a 4 inch radius?
• What is the radius of a circle with a circumference of 22?
• What is the radius of a circle with a circumference of 6?
• What is the radius of a circle with a circumference of 8?
• What is the radius of a circle with circumference of 13 ft?
• What is the radius of a circle with circumference of 5 cm?
• What is the radius of a circle with diameter of 8 inches?
• How do you find the radius of a circle with an area of 80 cm 2?
• How do you find the radius of a circle with an area of 90 cm 2?
• Solving Applied Problems: Two Equations? problem 1 The St.mark's Community bbq served 250 dinners. A child's plate cost $3.50 and an adult's plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served?
• Eric has a treehouse 14ft above the ground. How long would it take a water balloon dropped from the treehouse to fall to the ground?
• During the 1998-1999 Little League season, the Tigers played 47 games. They won 11 more games than they lost. How many games did they win that season?
• A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5mph slower than the power boat. How do you find the speed of each boat?
• Mario is 15 years older than Pete. Two years from now, Mario will be four times as old as Pete. How old is each now?
• Machines A,B and C can complete a certain job in 30 min., 40 min. and 1 hour respectively. How long will the job take if the machines work together?
• A private parking garage charges $100 for the first 3 hours plus $ 35 for each additional hour . How do you find the cost of parking one whole day?
• A computer manufacturer needs to purchase microchips. The supplier charges $ 2,500 for the first 100 chips ordered and $17.50 for each chip purchased in excess of 100 . How do you find the cost of 2,010 chips ordered?
• How do you find the area of the triangle that lies in the first quadrant (which its base on the x-axis) and that is bounded by the lines y=2x-4 and y= -4x+20?
• The sum of the digits of a two-digit number is 7. When the digit are reversed,the numbers is increase by 27. How do you find the numbers?
• An airplane takes 7 hours to travel a distance of 4707km against the wind. The return trip takes 6 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
• If a sample has 24 grams of I-131 (half life is: 8 days), how many grams of daughter nuclide would there be after 32 days?
• A principal of $500 is invested in an account at 7% per year compounded annually. What is the total amount of money in the account after 5 years?
• Consider the diagram at right, it applies to a perfectly competitive firm, which at present faces a market clearing price of $20 per unit and produces 10,000 units of output per week.?
• a) How to draw the implied stair-case demand and supply curves? b) If the equilibrium price is $6 per driveway how many households would like their driveways shovelled and how many teenagers will be willing to shovel driveways?
• When considering the market demand and supply functions for a good in a competitive market situation? QD = 26 - 2P QS = -9 + 3P
• Max has 100 square inches of aluminum with which to make a closed cylinder. If the radius of the cylinder must be 2 inches. How tall will the cylinder be?
• Graphs and helpful videos for these topics ?
• Given the quantity that will be forthcoming at the permitted price of $0.60, what will the black market price be? What is the value of side-payment per litre?
• The number of square tiles needed to tile a square floor is equal to #a^2 -: b^2#, where #a# is the floor length in inches and #b# is the length of the tile in inches. If #a = 96# and #b =8#, how many tiles are needed?
• When 15m is added to two opposite sides of a square and 5m is added to the other sides, the area of the resulting rectangle is 441m^2. How do you find the length of the sides of the original square?
• The base of a triangle is 6 cm shorter than the altitude to that base. How do you find the length of the base and the altitude if the are of the triangle is 56 cm^2?
• A track and field playing area is in the shape of a rectangle with semicircles at each end. The inside perimeter of the track is to be 1500 meters. What should the dimensions of the rectangle be so that the area of the rectangle is a maximum?
• A triangle has an area of 77 square inches. How do you find the length of the base if the base is 3 inches more than the height?
• A rectangular parking lot is 50ft longer than it is wide. How do you determine the dimensions of the parking lot if it measures 250 ft diagonally?
• The height, h, in meters, of a football t seconds after being thrown is given by the formula: #h = 30t - 5t^2#. How long after being thrown is the ball at a height of 25 meters?
• A playground, which measures 50m by 35m, is to be doubled in area by adding a strip of uniform width around the outside of the existing area. What is the width of the new strip around the playground?
• A diver dives into the sea from a height of 35m. His height h meters t seconds after leaving the cliff is given by #h = -4.9² + t + 35#. How long until he reaches the water?
• One integer is nine more than two times another integer. If the product of the integers is 18, how do you find the two integers?
• The sum of 2 numbers is 14 and the sum of their squares is 148, how do you find the numbers?
• The height h (in meters) of a golf ball t seconds after it is hit can be modeled by #h= -49t^ + 15t#, how high is the ball 3 seconds after it is hit?
• A rectangular picture measuring 3 in. by 5 in. is surrounded by a frame with uniform width x. How do you write a quadratic function in standard form to show the combined area of the picture and frame?
• A ball is shot out of a cannon. The height of the ball, h in meters, as a function of the time, t in seconds, since it was shot is given by the equation #h= -5t^2 +30t +1#. What is the height of the ball after 1 second?
• A ball is shot out of a cannon. The height of the ball, h in meters, as a function of the time, t in seconds, since it was shot is given by the equation #h= -5t^2 +30t +1#. What is the maximum height?
• If Boy 1 cuts half of a 30m by 40m lawn by cutting strips of equal width around the lawn. How wide should the width of the strips be so that the rectangle left that Boy 2 will have to cut is equal to the amount of lawn Boy 1 cut?
• Alexei wants to hang a mirror in his boat but the mirror and frame must not have an area larger than 19.25 square feet. The mirror is 3 feet wide and 5 feet long. Which quadratic equation represents the area of the mirror and frame combined?
• A strip of sheet metal 30 cm wide is to be made into a trough by turning strips up vertically along two sides. How many centimeters should be turned up at east side to obtain the greatest carrying capacity?
• How do you show that it is impossible to form a 20 cm length of wire into a rectangle with area 30 cm^2?
• It took a crew 80 minutes to row 3km upstream and back again. If the rate of flow of the stream was 3km/h, what was the rowing rate of the crew?
• Larry is 2 years younger than Mary. The difference between the squares of their ages is 28. How old is each?
• How do you find two consecutive positive integers if the sum of their squares is 3445?
• A rectangular city lot has an area of 1000 square meters. If the length of the lot is 10 meters more than twice its width, how do you find its length and width?
• The product of two consecutive odd integers is 99, how do you find the integers?
• How do you find two consecutive even integers such that the square of the smaller is 10 more than the larger?
• The product of two consecutive odd integers is 1 less than twice their sum. How do you find the integers?
• A rectangular room has an area of 400 square foot. The length is 7 feet less than twice the width. How do you find the dimensions of the room?
• How do you find the dimensions of a rectangle whose perimeter is 46 cm and whose area is 128cm^2?
• Originally a rectangle was twice as long as it is wide. When 4m were added to its length and 3m subtracted from its width, the resulting rectangle had an area of 600m^2. How do you find the dimensions of the new rectangle?
• How do you find a positive number whose square is 12 more than the number itself?
• How do you find two consecutive negative integers such that the difference of their squares is 29?
• How do you determine three consecutive negative integers such that the square of third, added to the first, is 130?
• How do you determine three consecutive positive integers such that the square of second, added to the third, is 133?
• How do you determine three consecutive even integers such that the first times the third, is 4 less than 12 times the second?
• A rectangular driveway is 12 meters longer than it is wide. Its area is 1260 m2. How do you determine its dimensions?
• A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. How do you find the length of a side of the picture?
• A rectangular counter is covered with 600 square tiles. The counter could have been covered with 400 tiles 1 cm longer on a side. How do you find the length of a side of the smaller tile?
• Two boats travel at right angles to each other after leaving the same dock at the same time. 1 hour later they are 5 miles apart. If one travels 1 miles faster than the other, what is the rate of each?
• How many telephones could be handled by a switchboard that had the capacity of 190 connections?
• If P dollars is invested at r percent compounded annually, at the end of 2 yers it will grow to A = P(1+r)^2. At what interest rate will $1,000 grow to $1,210 in 2 years?
• One number is 5 greater than another number.If the sum of their squares is 5 times the square of the smaller number,what are the numbers?
• If a number is added to it's square,the result is 42. How do you find the number?
• How do you find the three consecutive integers such that the sum of the squares of the second and the third exceeds the square of the first by 21?
• A number less its reciprocal is 8/3. What is the number?
• If the product of two consecutive odd integers is decreased by 3, the result is 12. How do you find the integers?
• If a number is subtracted from twice its reciprocal, the result is -23/5. What is the number?
• The student council of sta.Lucia high school needed 2,250 pesos for an annual trip.If five more members joined the group,each member would then save 5pesos. How many students planned to make a trip?
• A bridge is built in the shape of a parabolic arch. The bridge has a span of 50 meters and a maximum height of 40 meters. How do you find the height of the arch 10 meters from the center?
• A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is 9 feet by 25 feet and the area of the rug is 57 square feet, how wide will the border be?
• The area of a square is 45 more than the perimeter. How do you find the length of the side?
• The area of a square is 45 more than the perimeter. How do you find the length of the side?
• The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. How do you find the lengths of the sides of the triangle?
• The sum of the SQUARES of two consecutive positive integers is 145. How do you find the numbers?
• The side of a square is 4 centimeters shorter than the side of a second square. If the sum of their areas is 40 square centimeters, how do you find the length of one side of the larger square?
• Suppose you have 76 feet of fencing to enclose a rectangular dog pen. The function #A = 38x - x^2,# where x = width, gives you the area of the dog pen in square feet. what width gives you the maximum area?
• A sporting goods store sells 90 jackets for $200 dollars each. Each $10 decrease in price would result in 5 more jackets sold. How do you find the number of jackets sold and the selling price to give revenues of $17600 from jacket sales?
• One leg of a right triangle is 96 inches. How do you find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2.5 times the other leg by 4 inches?
• Tickets sold to a school dance cost $4 and the projected attendance is 300. for every $0.10 increase in price the attendance will decrease by 5. what ticket price will generate $1237.5?
• A ball is thrown straight up in the air at a velocity of 24 ft./sec. The height of the ball at x seconds is given by the formula: h = 24x – 16x^2. How do you find the maximum height of the ball and when it will land?
• If a gym charges its members $300 per to join, they get 1000 members. For each $2 increase in price they can expect to lose 5 members. How much should the gym charge to maximize its revenue?
• The area of the rectangular playground enclosure at South School is 500 square meters. The length of the playground is 5 meters longer than the width. How do you find the dimensions of the playground in meters?
• Jack is building a rectangular dog pen that he wishes to enclose. The width of the pen is 2 yards less than the length. If the area of the pen is 15 square yards, how many yards of fencing would he need to completely enclose the pen?
• Three consecutive even integers are such that the square of the third is 76 more than the square of the second. How do you determine the three integers?
• The square of Jamie's age now is equals to his age in 6 years time. How old is Jamie now?
• The square of Pat's age now is equal to her age in 30 years time. How old is Pat now?
• When Chloe's height is squared and then doubled the result in 3m more than her height now. How tall is Chloe now?
• The playing surface in the game of curling is a rectangular sheet of ice with an area of about 225m^2. The width is about 40 m less than the length. How do you find the approximate dimensions of the playing surface?
• Jiro drives 10km then increases his speed by 10kph and drives another 25km. What is his original speed if the whole ride took 45 minutes (or 3/4 hour)?
• Baileys rectangular dog pen for his Irish setter must have an area of 400 square feet. Also, the length must be 10 feet longer than the width. How do you find the dimensions of the pen?
• When the length of each side of a square is decreased by 20cm, its area is decreased by 5600cm^2. How do you find the length of a side of the square before the decrease?
• Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. How do you determine speed of the vehicle?
• The Hudson River flows at a rate o 3 mph. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
• A Square Mirror has sides measuring 2ft. less than the sides of a square painting. if the difference between their areas is 32ft^2, how do you find the lengths of the sides of the mirror and the painting?
• A rectangle contains 324 sq cm. If the length is nine less than three times the width, what are the dimensions of the rectangle?
• Beatrice’s rent has increased over the years; her initial rent was 526 in 1994, how much has her rent gone up if her current rent is $725?
• Ben's boat will take 1½ hours longer to go 12 miles up a river than to return. What is the rate of his boat if the rate of the current is 2 miles an hour?
• Ed bought $2,000 in stock shares one week before the stock price dropped $10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How many shares did he buy?
• A target plane flies at 2100 meters. An antiaircraft gun fires a projectile with an initial upward velocity of 200 m/sec. Will the projectile ever reach the altitude of the target plane?
• The square of the sum of two consecutive integers is 1681. What are the integers?
• A jet flew from Tokyo to Bangkok, a distance of 4800 km. On the return trip the speed was decreased by 200km/h. If the difference in the times of the flights was 2h, what was the speed from Bangkok to Tokyo?
• The sum of the legs of a right triangle is 36 cm. For what lengths of the sides will the square of the hypotenuse be a minimum?
• Among all pairs of numbers with a sum of 101, how do you find the pairs whose product is maximum?
• The sum of two numbers is 18 and the sum of their squares is 170. How do you find the numbers?
• The sum of the numbers is 8 and the sum of their squares is 170. How do you find the numbers?
• How do you find two numbers whose difference is 4 and the difference of their square is 88?
• One number is three more than a second number. Forty nine more than the product of the 2 numbers is 89. How do you find the numbers?
• By increasing her usual speed by 20 kilometers per hour, a bus driver decreases the time on a 20-kilometer trip by 5 minutes. How do you find the usual speed?
• The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?
• The city transit system carries 24800 bus riders per day for a fare of $1.85. A survey indicates that the number of riders will increase by 800 people for every $0.05 decrease in fare. What fare will produce the greatest revenue?
• A parking lot is to be formed by fencing in a rectangular plot of land except for an entrance 12 m wide. How do you find the dimensions of the lot of greatest area if 300 m of fencing is to be used?
• How do you find the dimensions of the rectangle of greatest area whose perimeter is 20 cm?
• The numerator of a fraction is three less than the denominator. The sum of the fraction and four times its reciprocal is 17/2. How do you find the fraction?
• Jim held a firehose whose spray formed a parabola that spanned 20m. The maximum height of the spray is 16m. What is the quadratic equation that models the path of the spray?
• How do you find the value that will produce the maximum value of the function g(x)=3(x-12)(x+3)?
• A piece of wire 44 cm long is cut into two parts and each part is bent to form a square. If the total area of the two squares is 65 sq cm, how do you find the perimeter of the two squares?
• A salesperson finds that her sales averages 40 cases per store when she visits 20 stores per week. If she visits an additional store per week, her avg. sales per store decrease by one case. How many stores per week should she visit to maximize her sales?
• A potter can sell 120 bowls per week at $4 per bowl. For each 50 cent decrease in price, 20 more bowls are sold. What price should be charged to maximize revenue?
• The length of a rectangular room is 7 meters less than twice its width. If the area of the room is 130m^2. How do you find the dimensions of the room?
• The hypotenuse of a right angled triangle is of length square root34. The sum of the other two sides is 8. How do you find the length of each side?
• Number is 5 less than 9 times the sum of the digits. How do you find the number?
• The sum of the digits of a two number is 8. The number exceeds 17 times the unit’s digit by 2. How do you find the number?
• In a three-digit number, the hundred’s and ten’s digit are the same. The unit’s digit is 3 more than the hundred’s digit. If the number is reversed, the new number is 72 more than twice the original number. How do you find the number?
• The sum of the digits of a two-digit number is 10. If the digits are reversed, a new number is formed. The new number is one less than twice the original number. How do you find the original number?
• The sum of the digits of three digit number is 15. The unit’s digit is less than the sum of the other digits. The tens digit is the average of the other digits. How do you find the number?
• How do you find two positive real numbers that differ by 1 and have a product of 1?
• Thomas, having mowed a large rectangular plot of grass, estimates the area to be 400 sq ft. Elva walks the perimeter of the same plot and estimates the perimeter to be 100 ft. How do you find the approximate dimensions of the plot?
• A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less the time. How do you find the speed going?
• The reciprocal of 4 plus the reciprocal of 5 is the reciprocal of what number?
• The sum of half a number and its reciprocal is the same as 51 divided by the number. How do you find the number?
• Kirsten can type a 50-page paper in 8 hours. Last month Kirsten and Courtney, together, typed a 50-page paper in 6 hours. How long would it take Courtney to type a 50-page paper on her own?
• It takes 10 hours to fill a pool with water, and 20 hours to drain it. If the pool is empty and the drain is open, how long would it take to fill the pool?
• The length of a rectangle is 5 yd more than twice its width, and the area of the rectangle is 42yd^2 . How do I find the dimensions of the rectangle?
• Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance traveled by the car heading east. How far had the eastbound car traveled?
• Winston can mow his dads grass in 1 hour less than his brother Will. If they take 2 hours to mow it together then how long would it take Winston alone?
• Jenny can type 1,200 words in 30 minutes. How long will it take her to type a 3,000-word essay?
• You reserve #2/5# of the seats on a tour bus. You are able to fill #5/8# of the seats you reserve. What fraction of the seats on the bus are you able to fill?
• If the first and third of three consecutive odd integers are added, the result is 57 less than five times the second integer. How do you find the third integer?
• A square plywood platform has a perimeter which is 7 times the length of a side, decreased by 12. How do you find the length of a side?
• At the end of the day, a storekeeper had $1272 in the cash register, counting both the sale of goods and the sales tax of 6%. How do you find the amount that is the tax?
• CopyMart charges $29 plus 44 cents per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $87.08?
• One side of a triangle is 2 cm shorter than the base, x. The other side is 3cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm?
• The equation y = 0.002x+ 0.50 can be used to determine the approximate profit, y in dollars, of producing x items. How many items must be produced so the profit will be at least $1795?
• Terri spent three-eighths of her monthly salary on rent and one-third of her monthly salary on food. If she has $294 left, what is her monthly salary?
• Clare's watch is 5 minutes slow. At what time (on her watch) must she start her ten-minute journey to the bus stop to catch the 9:05 am bus?
• How do you find two consecutive odd integers such that 3 times the first integer is 5 more than twice the second?
• If the sum of three consecutive odd integers is p, then in terms of p, what is the greatest of the three integers?
• The sum of two consecutive odd integers is 304. How do you find the two integers?
• The sum of four consecutive odd integers is three more than 5 times the least of the integers, what are the integers?
• The sum of two consecutive odd integers is 56, what are the integers?
• The sum of 3 consecutive odd numbers is 27, how do you find the numbers?
• The sum of 3 consecutive odd integers is 105, how do you find the numbers?
• The sum of three consecutive odd integers is 45, how do you find the numbers?
• How do you find three consecutive odd integers such that the sum of the first, two times the second and three times the third is 34?
• What are 4 consecutive odd integers whose sum is 64?
• How do you find three consecutive odd integers such that the sum of the largest and twice the smallest is 25?
• The sum of two consecutive integers is 68, what is the smaller number?
• What are 3 consecutive odd numbers whose sum is 81?
• How do you find 3 consecutive odd integers whose sum is 51?
• How do you find three consecutive odd integers whose sum is 117?
• How do you find two consecutive even integers whose sum is 126?
• How do you find four consecutive odd integers whose sum is 8?
• How do you find three consecutive even integers whose sum is 396?
• If the sum of three consecutive odd integers is -87, what are the integers?
• The sum of 4 consecutive odd integers is 336, how do you find the largest integer?
• The sum of three consecutive odd integers is 195, what are the integers ?
• The sum of three consecutive odd integers is 231, how do you find the integers?
• The sum of two consecutive odd integers is 92, what are the numbers?
• The sum of three consecutive odd integers is 1,509, what are the integers?
• If the sum of three consecutive integers is 69, what are the integers?
• If the sum of four consecutive integers is -106, what are the integers?
• If the sum of three consecutive odd integers is 81, what are the integers?
• If the sum of three consecutive even integers is -30, what are the integers?
• If the sum of three consecutive odd integers is 129, what are the integers?
• If the sum of four consecutive odd integers is 64, what are the integers?
• If the product of two consecutive even integers is 76 less than 10 times their sum, how do you find the two integers?
• How do you find three consecutive odd integers such that three times the first minus the second is one more than the third?
• If the sum of three consecutive odd integers is 183, what are the integers?
• If the sum of three consecutive odd integers is 201, what are the integers?
• If the sum of three consecutive integers is 84, what are the integers?
• If the sum of three consecutive integers is 147, what are the integers?
• If the sum of two consecutive integers is 107, how do you find the integers?
• If the sum of two consecutive integers is 51, what are the numbers?
• The sum of two consecutive odd integers is 124, what are the integers?
• The sum of 3 consecutive odd integers is 207 what are the integers?
• The sum of 3 consecutive odd integers is 57, what is the smallest integer?
• What is the sum of two consecutive integers that equal 40?
• The sum of three consecutive odd integers is 63, what are the three integers?
• The sum of 2 consecutive odd integers is 1344, how do you find the two integers?
• Twice the smallest of three consecutive odd integers is seven more than the largest, how do you find the integers?
• Two consecutive odd integers have a sum of 128, what are the integers?
• Two consecutive odd integers have a sum of 48, what are the two odd integers?
• The sum of three consecutive odd integers is -51, how do you find the numbers?
• The sum of two consecutive odd integers is -148, what are the two numbers?
• The sum of 3 consecutive odd integers is -129, how do you find the integers?
• The sum of three consecutive odd numbers is 327, what is the smallest of these numbers?
• How do you find two consecutive positive odd integers whose product is 143?
• The sum of three consecutive odd integers is 27, what are the numbers?
• How do you find three consecutive odd positive integers such that 3 times the sum of all three is 24 more than the product of the first and second integers?
• The sum of two consecutive odd integers is 96, how do you find the two integers?
• Two consecutive odd integers have a sum of 152, what are the integers?
• How do you find two consecutive odd numbers whose sum is 276?
• How do you find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126?
• The sum of three consecutive odd numbers equal 255. What are those three number?
• The sum of the square of two consecutive positive odd integers is 202, how do you find the integers?
• Three consecutive odd integers have a sum of 3. What are the numbers?
• How do you find two consecutive integers whose product is 783?
• The sum of three consecutive integers is 264. What are the three integers?
• The sum of two consecutive odd integers is 16. What is their sum?
• The sum of three consecutive odd integers is 99. What are the three numbers?
• What are 2 consecutive odd integers that equal 116?
• How do you find 2 positive consecutive odd integers whose product is 483?
• How do you find 3 consecutive even integers whose sum is -18?
• How do you find three consecutive integers with a sum of 267?
• How do you find three consecutive odd integers whose sum is 13 more than twice the largest of the three?
• What are 4 consecutive even integers that starting with -4?
• How do you find two consecutive odd integers such that the difference of their squares is 160?
• Three consecutive integers have a sum of 84, how do you find the integers?
• How do you find three consecutive integers such that twice the smallest is 12 more than the largest?
• How do you find three consecutive odd integers such that the sum of the first and second is 27 less than three times the third?
• How do you find three consecutive odd integers whose sum is 5?
• How do you find two consecutive integers whose sum is 104?
• How do you find all sets of three consecutive odd integers whose sum is between 20 and 30?
• How do you find two consecutive odd integers such that 4 times the larger is 29 more than 3 times the larger?
• The sum of three consecutive even integers is 228, how do you find the integers?
• The sum of two consecutive integers is 47, how do you find the two numbers?
• How do you find two consecutive odd integers whose sum is 196?
• The sum of three consecutive odd integers is -15 what are the three integers?
• Two consecutive even integers have a sum of 34. How do you find the integers?
• The sum of three consecutive odd numbers is more than 207, how do you find the minimum values of these integers?
• The sum of the squares of two consecutive negative odd integers is equal to 514. How do you find the two integers?
• How do you find two consecutive odd integers whose sum is 56?
• How do you find all sets of three consecutive even integers whose sum is between 25 and 45?
• If the average of 18 consecutive odd integers is 534, what is the least of these integers?
• Whats three consecutive even integers whose sum is 54?
• How do you find three consecutive integers whose sum is -33?
• The sum of three consecutive odd numbers is -21, how do you find the smallest number?
• How do you find three consecutive even integers if the sum of the first two minus the third is 16?
• How do you find 2 consecutive even integers whose product is 224?
• The sum of three consecutive odd integers is 351, how do you find the three integers?
• The product of two consecutive odd numbers is 399, what are the numbers?
• The sum of two consecutive odd integers is 56, how do you find the two odd integers?
• What are 2 consecutive odd integers if the sum is 137?
• A rectangular garden has a perimeter of 120 feet. How do you find an equation for the area of the rectangle as a function of the width, then determine the length and width of the rectangle which provide the maximum area?
• The length of a rectangle is 5ft more than twice its width, and the area of the rectangle is 88ft. How do you find the dimensions of the rectangle?
• The length of a rectangle is 3ft more than twice its width, and the area of the rectangle is 77ft^2, how do you find the dimensions of the rectangle?
• The length of a rectangle is 1 more than twice its width, and the area of the rectangle is 66 yd^2, how do you find the dimensions of the rectangle?
• The area of a rectangular billboard is x^2+x-30 square meters. If the length is x + 6 meters, how do you find a binomial that represents the width?
• How do you express the area A of a rectangle as a function of the width,W, if the width of the rectangle is twice its length?
• A rectangle has a length of x+3 and a width of x-3, and has an area of 40 square units. How do you find the length and width of the rectangle?
• The eliot school plans to have the school library carpeted.The room is in the shape of a rectangle and measures 24 feet by 27 feet. If the carpet costs $27.33 per square yard including installation, how much will it cost to have the library carpeted?
• The perimeter of a rectangle is 32 units. Its width is 6 units. What is the area of the rectangle?
• The length of a rectangle is 3 yard less than twice the width, and the area of the rectangle is 44 yd^2. How do you find the dimensions of the rectangle?
• The total area of the rectangle is 10 ft^2 What is the width and length of the rectangle, given that the width is 3 feet less than the length?
• The coordinates of the vertices of a rectangle are (-3,5), (0,-4), (3,7), and (6,-2). How do you find the area of this figure?
• The area of a rectangle is 65 yd^2, and the length of the rectangle is 3 yd less than twice the width. How do you find the dimensions of the rectangle?
• There is a rectangle with a width of 5x and a length of x + 4. How do you find the area of the rectangle?
• Inside that rectangle, there is a smaller one. It has a width of 2x and a length of x + 12. How do you find the area?
• The area of this rectangle is 56 square units. How do you find its length x-5 and width x+5?
• How do you find the area of a rectangle whose vertices are (-3,1), (5,1), (5, 8) and (-3, 8)?
• What rectangle dimensions gives the largest possible area given the perimeter of a rectangle is 300ft?
• Suppose you have 200 feet of fencing to enclose a rectangular plot. How do you determine dimensions of the plot to enclose the maximum area possible?
• The area of a rectangle is 100 square inches. The perimeter of the rectangle is 40 inches.? A second rectangle has the same area but a different perimeter. Is the second rectangle a square?
• Bocce is a game similar to lawn bowling, but is played on a rectangular dirt court. if the length of the rectangle is 12x and the width is 2x + 2, how do you write the expression that represents the area of the court?
• A rectangle is inscribed in an equilateral triangle so that one side of the rectangle lies on the base of the triangle. How do I find the maximum area of the rectangle when the triangle has side length of 10?
• One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
• How do you find the maximum area of a rectangle with perimeter of 40 ft?
• A walled rectangular garden is 24 feet wide and 42 feet long. Flowers are to be planted along the outside edges of the garden to form a border that is 2 1/2 (two and a half) feet wide all around. What will be the area of the border?
• How do you find the area of the rectangle given the side of it is 3-√10 the bottom is 4√10?
• How do you find the area of a rectangle with base 5 yd and height 3 ft?
• The area of a rectangle is 12 square inches. The length is 5 more than twice it’s width. How do you find the length and width?
• The perimeter of a rectangle is 30 inches and its area is 54 square inches. How do you find the length of the longest side of the rectangle?
• How do you find the area of a rectangle with L = 2x + 3 and W = x - 2?
• What is the area of a rectangle with a width of 12 feet and length of 10 feet?
• How do you find an area to a rectangle in square meters, given the length is 1.4 m and the width of 2.9?
• The length of a rectangle is more than twice its width, and the area of the rectangle is 20. How do you find the dimension?
• A pathway is constructed around a garden whose length is 15 yards and width is 12 yards. If the total area is 340 sq yards, how do you find the length, width and area of the pathway?
• What is the area of rectangle if two of the side lengths is 32 inches and 2 ft?
• How do you find the area of a rectangle with a length of 16 inches and a width of 8 inches?
• A rectangle has sides of lengths x and 2x. How do you express the area A of the rectangle as a function of it perimeter P?
• How do you find the perimeter and the area of a rectangle with a length of 4 1/2 yards and a width of 3 yards?
• The area of a rectangle is 42 yd^2 , and the length of the rectangle is 11 yd less than three times the width, how do you find the dimensions length and width?
• The area of a rectangle is 65yd^2 , and the length of the rectangle is 3yd less than double the width, how do you find the dimensions?
• How do you find the area of a rectangle with length of 6 inches and width of 2 feet?
• Area of a rectangle is 99 ft^2 , and the length of the rectangle is 7 ft more than twice the width, how do you find the dimensions of the rectangle?
• What is the area of a rectangle with a length of 45cm and width of 30cm?
• Two circles with the same area are inscribed in a rectangle. If the area of the rectangle is 32, what is the area of one of the circles?
• How do you find the area of the rectangle with vertices A(-3,0), B(-2,-1), C(1,2), D(0,3)?
• How do you find the area of the rectangle with vertices A(-5,1), B(-3,-1), C(3,5), D(1,7)?
• The length of a rectangle is 4 times its width x. If the rectangle is inscribed in a circle, how do you determine the area of the circle as a function of x?
• How do you find the rectangle of maximum area that can be inscribed in a right triangle with legs of length 3 and 4 if the sides of the rectangle are parallel to the legs of the triangle?
• The area of the rectangle is #(4x-3)# long, by #(2x+5)# wide, how do you find the area of the rectangle?
• A rectangle has dimensions of 3a by 5b. How do you write simplified expressions for the area and perimeter of this rectangle?
• A rectangle with an area of 124 cm² has a length that is 4 times the width. How long is the width?
• What is the area of the largest rectangle that can be inscribed in the ellipse: #9(x^2) + 4(y^2) = 36#?
• Liana has 800 yards of fencing to enclose a rectangular area. How do you maximize the area?
• The area of a rectangle is 28 square inches. The length is 8 more than thrice the width. How do you find the length and the width?
• A rectangle has dimensions 0.7x and 5 - 3x. What value of x gives the maximum area and what is the maximum area?
• The perimeter of a rectangle is 18 feet, and the area of the rectangle is 14 square feet, what is the width & length?
• The perimeter of a rectangle is 24 ft. Its length is five times its width Let x be the length and y be the width. What is the area of the rectangle?
• The perimeter of rectangle ABCD is 56 , and if the length of AD = 16, what is the area of ABCD?
• What is the greatest number of rectangles with integer side lengths and perimeter 10 that can be cut from a piece of paper with width 24 and length 60?
• The length of each side of square A is increased by 100 percent to make square B. Then each side of square is increased by 50 percent to make square C. By what percent is the area of square C greater than the sum of the areas of square A and B?
• The area of a rectangle of length x is given by 3x^2 + 5x. How do you find the width of the rectangle?
• The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and width of the rectangle?
• How do you find the maximum area of rectangle with 80ft perimeter?
• The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the width?
• The area of the rectangle is 35cm squared if the bottom and top of the rectangle are x+2 and the left and right side equals x, what is the expression of rectangle in terms of x?
• The length of a rectangle is 5 yd less than double the width, and the area of the rectangle is 52 yd^2 . How do you find the dimensions of the rectangle?
• If the length of a rectangle is (x+4) and the width of the rectangle is (x+1) and the area of the rectangle is 100, what does x equal?
• What is the length and width of a rectangle with an area of 2x^2 + x - 3?
• The perimeter of a rectangle is 36ft, and the area of the rectangle is 72ft^2 . How do you find the dimensions?
• How do you find the maximum area of a rectangle with a perimeter of 144 inches?
• How do you find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 8 cm if two sides of the rectangle lie along the legs?
• The length of a rectangle is 10 feet less than 3 times its width. How do you find the dimensions of this rectangle if the area is 48 square feet?
• The length of a rectangle is 1 foot less than 4 times its width. How do you find the dimensions of this rectangle if the area is 60 square feet?
• The area of a rectangle is 270 square feet. The ratio of the width to the length is 5:6. How do you find the length and the width?
• How do you find the dimensions and maximum area of a rectangle whose perimeter is 24 inches?
• The area of a rectangle is 300 cm squared. what is the length and width if the ratio of length to width is 4:3?
• A rectangle has a length of x + 2, a width of 7, and a perimeter of 32, what is the value of x?
• Janelle has $20 and is saving $6 per week. April has $150 and is spending $4 per week. When will they both have the same amount of money?
• Sam and Hector are gaining weight for football season. Sam weighs 205 pounds and is gaining two pounds per week. Hector weighs 195 pounds but is gaining three pounds per week. In how many weeks will they both weigh the same amount?
• In a class of 80 seniors, there are 3 boys for 5 every girls. In the junior class, there are 3 boys for every 2 girls. If the two classes combined have an equal number of boys and girls, how many students are in the junior class?
• An equilateral triangle has a side length of 24 inches. What is its perimeter?
• The perimeter of an equilateral triangle is 51 inches. What is the length of each side?
• A regular pentagon has a side length of 4.5 cm. What is its perimeter?
• A right triangle has a perimeter of 12 and sides x, (x + 1), and (x + 2). What is the area of the triangle?
• If the area of a right triangle is 15, what is its perimeter?
• The perimeter of an isosceles triangle is 29 feet. If the base measures 15 feet what is the measure of the other two sides?
• A triangle has a perimeter of 50. If two of the side lengths are equal and the third side is five more than the equal sides, what is the length of the third side?
• The perimeter of a triangle is 24 inches. The longest side of 4 inches is longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?
• The sides of a triangle are in the ratio 4 : 5 : 6. What is the length of each side if the perimeter is 45 cm?
• What is the perimeter of an equilateral triangle whose height is 2(radical 3)?
• In PQR triangle , PQ=PR=13. If the length of the altitude drawn from Q perpendicular to side PR is 12 what is the perimeter of PQR?
• Two sides of a triangle have the same length. The third side measures 2 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
• What is the perimeter of a triangle with sides 14mm and 17mm and the right angle is opposite the third side?
• How do you find the perimeter of a right triangle with the area 9 inches squared?
• What is the perimeter of a triangle with a total area of 12 feet?
• The perimeter of an equilateral triangle is 32 centimeters. How do you find the length of an altitude of the triangle?
• An altitude of an equilateral triangle is 30 inches. How do you find the perimeter of the triangle?
• If the lengths of two sides of an isosceles triangle are 4 and 9, what is the perimeter of the triangle?
• A right angle triangle has sides of x+6, x+5 and x-2, how do you write the expression for the perimeter?
• A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle?
• A monopolist faces a demand curve P = 70 - 1Q, with marginal revenue MR = 70 - 2Q, and MC = 20. Price is expressed in dollars.?
• The point P lies in the first quadrant on the graph of the line y= 7-3x. From the point P, perpendiculars are drawn to both the x-axis and y-axis. What is the largest possible area for the rectangle thus formed?
• An isosceles triangle has its base along the x-axis with one base vertex at the origin and its vertex in the first quadrant on the graph of #y = 6-x^2#. How do you write the area of the triangle as a function of length of the base?
• A 3 lb puppy is gaining weight at a rate of ¾ lb per week. When will the puppy’s weight exceed 22 ½ lb?
• The volume, V, of a box is a function of its height, h, in centimetres. If V(h) = 4h³ - 6h² + 80, what is the volume, in cubic ceintimetres when h = 3 cm?
• a) How to calculate the missing numbers in the chart ? b) How to plot the TFC, TVC, and TC curves in one diagram and the AFC, AVC, ATC, and MC in another diagram? c) What is the relationship between total costs and output?
• Question #fb4b5
• Question #dbc30
• Water fills the tub in 12mins, and empties the tub in 20min when the lid is open. How long will it take to fill an empty tub if the lid is open? Answer: 30min. How do I solve it?
• The pool is filled using two tubes in 2h. The first tube fills the pool 3h faster than the second tube. How many hours will it take to fill the tube using only the second tube?
• Two brigades had to build a house. The first brigade works alone and builds the house in 15days. The second brigade builds it in 30days. How long will it take to build the house when both brigades work together?
• How do you find the number of factors of a number?
• Anna and Becky have to do a job. Anna would finish the job in 6h if she worked alone. How many hours would it take Becky to do this job, if when working together this works is finished in 4hours?
• Suppose that the market demand function of a perfectly competitive industry is given by Qd = 4750 - 50P and the market supply function is given by Qs = 1750 + 50P, and P is expressed in dollars.?
• Question #8557b
• A rectangle has width 22 in and length 18 in. How do you find the length of another rectangle of equal area, if the width is 20 in?
• The hall had 160 seats. After the reconstruction every row had one seat added to it, and the number of rows doubled. How many seats were before and after the reconstruction, if the number of seats increased by 38?
• The hall had 160 seats. After the reconstruction every row had one seat added to them, and the number of rows doubled. How many seats were before and after the reconstruction, if the number of seats increased by 38?
• Question #9e9ef
• A cyclist is going at 4 kmph and takes them #t# less than #14# hours to get to their destination. On the trip back they take the same route, but at #10 kmph# and make it back in #t# hours. Using a diagram, how do you find the value of #t#?
• How do you simplify #sqrt(37-4sqrt(75))# ?
• The average weight of female infants is at birth 7 pounds. With a monthly weight gain of 1.5 pounds. After how many months does a baby girl weigh 16 pounds?
• A rectangular field is 4 times as long as it is wide. If the perimeter of the field is 500 yards what are the fields dimensions?
• An American football field is a rectangle with a perimeter of 1040 fee. The length is 200 feet more than width. How do you find the width and the length of the rectangular field?
• After a 20% reduction you purchase a TV for $320 what was the TVs price prior to the reduction in price?
• Including 6% sales percent tax a car sold for $15370. What is the pretax cost of the car?
• Question #c3090
• Question #c34b5
• Question #6daa9
• Is this how a single integral works?
• How do you solve #6x^2=1296#?
• The Tigers have a 5 wins to 4 loss rate. If the Tigers continue at this pace how many games will the Tigers win in a 72 game season?
• Question #b2c9e
• One tube fills the pool in 15 hours. How many hours and minutes will it take to fill the pool with 4 same type tubes?
• Carina is 5 year older than Marnie. Three years ago, she was twice as old as Marnie. how old are they now?
• Elena is now four times as old as Lizette. Five years ago, the sum of their ages was 45. How old is each now?
• Milene is 3 years older than john. In 7 years, john's age will be 6/7 of Milene's age. How old they are now?
• Randy is 14 years old and his mother is 36 years old. In how many years will Randy's mother be twice as old as he is?
• Ten years ago, a man was 3 times as old as his son. In 6 years, he will be twice as old as his son. How old is each now?
• Two fans went to the concession stand at halftime of game four. Fan D bought five hot dogs and four drinks for a total of 32$. Fan E bought three hot dogs and two drinks for a total of 18$. What is the price of a hot dog? What is the price of a drink?
• Using linear depreciation, how do you determine the value of a machine after 5 years if it costs $62310 when new and has a value of $32985 after 7 years?
• A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test?
• Irene is one-third the age of Bea. Three years ago, Bea was twice as old as Irene. How old is each?
• Buddy is thrice the age of Nimfa. Six years later, Buddy will be twice as old as Nimfa. How old is each?
• Susan is half the age of Amy. Five years ago, Susan was three-fourths as old as Amy. How old is each?
• If the total cost of producing 1500 items at $3 each is $4860, how do you find the cost equation?
• If $400 is invested at the rate of 6% for one year, what will be the total value of the investment (the amount)?
• The temperature dropped from 75 degrees to 50 degrees. What was the percent decrease in the temperature?
• A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients?
• What is the sale price of a cell phone that is on sale for 15% off if the regular price is $75?
• Jim's brakes charges $25 for parts and $55per hour to fix the brakes on the car. Myron's Auto charges $40 for parts and $30 per hour to do the same job. What length of job in hours would have the same cost at both shops?
• How do you find the dimensions of a rectangle if the area is #63cm^2# and the perimeter is #32cm# where #x# represents the width of the rectangle?
• The sum of two numbers is 17 and their difference is 29. What are the two numbers?
• Melissa has $2.35 in nickels and dimes. If she has 33 coins in all, how do you find the number of nickels and dimes?
• Mavis is 5 years older than her brother. Five years ago she was 2 times older than her brother. How old is each now?
• Mary and Tina spent a total of $175 at the mall. Tina spent $10 more than twice as much as Mary. How much did tina spend?
• A punch recipe calls for 1 liter of lemon soda for every 3 liters of fruit juice. If a woman uses 10 liters of fruit juice, how many liters of lemon soda would she need?
• Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old as Melissa will be then. How old are they now?
• A soccer ball is kicked from ground level with an initial velocity of 90 feet per second. The equation #h=-16t^2+90t# gives the height h of the ball after t seconds. What is the height after 1 second?
• Juan hits a baseball. The equation #h=-16t^2+120t# models the height h, in feet, of the ball after t seconds. How long is the ball in the air?
• A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100 mL of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in the mixture?
• Andy's average driving speed for a 4-hour trip was 45 miles per hour. During the first 3 hours he drove 40 miles per hour. What was his average speed for the last hour of his trip?
• Two airplanes left the same airport traveling in opposite directions. If one airplane averages 400 miles per hour and the other airplane averages 250 miles per hour, in how many hours will the distance between the two planes be 1625 miles?
• Laura borrows $5,000 at 10.5% compound. How much does she owe after 4 months?
• Given #f(x) = x^4+ax^3+bx^2+cx+d# with #f(1) = 1#, #f(2) = 5#, #f(3) = 19# and #f(6) = 665#, what is the value of #f(4)+f(5)# ?
• A blue spruce grows and average of 6 inches per year. A hemlock grows an average of 4 inches per year. If a blue spruce is 4 feet tall and a hemlock is 6 feet tall, when would u expect the trees to be the same height?
• The product of two consecutive integers is 380. How do you find the integers?
• The height of a triangle is 5 m less than half its base. If the area of the triangle is 300 m2, how do you find the measure of the height?
• The length of a rectangle is 3 inches more than twice the width. The area is 27 square inches. What is the length?
• The diagonal of a rectangle is 13 meters. The length is 2 meters more than twice the width. What is the length?
• A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies?
• The area of a rectangular floor is described by the equation w(w-9)=252 where w is the width of the floor in meters. What is the width o the floor?
• A chess tutor charges a fee for the first lesson that is 1.5 the fee for later lessons. You spend $315 for 10 lessons. How much the the first and later lessons cost?
• The area of a rectangle is 45 square cm. If the length is 4cm greater than the width, what are the dimension of the rectangle?
• The sum of three consecutive even #s is 144; what are the numbers?
• How do you write an algebraic expression for the word phrase: 11 more than y answer?
• How do you write an algebraic expression for the word phrase: 5 less than n?
• How do you write an algebraic expression for the word phrase: the sum of 15 and w?
• How do you write an algebraic expression for the word phrase: 22 minus k?
• How do you write an algebraic expression for the word phrase: a number b divided by 8?
• How do you write an algebraic expression for the word phrase: q multiplied by 2?
• How do you write an algebraic expression for the word phrase: the product of 3.3 and a number x?
• How do you write an algebraic expression for the word phrase: one third of a number m?
• How do you write a word phrase for each algebraic expression: 8-a?
• How do you write a word phrase for each algebraic expression: v+9?
• How do you write a word phrase for each algebraic expression: y/5-10?
• How do you write a word phrase for each algebraic expression: 1.9+n?
• How do you write a word phrase for each algebraic expression: 5h+3k?
• How do you write a word phrase for each algebraic expression: 2x+1?
• How do you write an equation represents this situation: Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours?
• Question #04486
• How do you find the factorial of large numbers?
• Question #e4dd7
• Question #60774
• Question #814a5
• Question #1084b
• Question #4c0f4
• How do I solve for #x#? #2e^{2x}-5e^x-3=0# This problem is about the natural logarithm function.
• Nathan wanted to save $400 for a new bicycle. He saved 110% of his goal amount. How do you write 110% as a fraction in simplest form and as a decimal. Has he saved enough money to buy the bicycle?
• Jasper can type 1,125 words in 30 minutes. At this rate, how many words can Jasper type in 50 minutes?
• Round 25 to the nearest percent?
• How does the graph of #y=sqrt(x+3) -4# compare with #y=sqrtx#?
• Question #1ec2a
• How do you write a power model for the function that passes through the points ( 2, 3) and (6, 12)?
• A certain country taxes the first $19,000 of an individual's income at a rate of 15%, and all income over $19,000 is taxed at 25%. How do you find a piecewise-defined function T that specifies the total tax on an income of x dollars?
• The length of a rectangular deck is 5 feet longer than its width, x. The area of the deck is 310 square feet. What equation can be used to determine the width of the deck?
• A rocket is launched at 85 feet per second from a launch pad that is 28 feet above the ground. What equation can you use to determine the height of the rocket at a given time after the launch?
• Amy drops a ball from an initial height of 30 feet above the ground. After how many seconds will the ball reach the ground?
• A homeowner has 60 feet of fencing material to enclose a rectangular area for his pets to play in. He will use one side of his house as a side of the play area. What dimensions should he use if he wants to maximize the play area?
• The cost of printing the school newspaper is $500 for 800 copies and $620 for 1200 copies. If the printing cost is a linear function of the copies printed, how do you find the cost of printing 1500 copies?
• The height in feet of a golf ball hit into the air is given by #h= -16t^2 + 64t#, where t is the number of seconds elapsed since the ball was hit. What is the maximum height of the ball?
• The height in feet of a golf ball hit into the air is given by #h= -16t^2 + 64t#, where t is the number of seconds elapsed since the ball was hit. How long does it take for the ball to reach the maximum height?
• The height in feet of a golf ball hit into the air is given by #h= -16t^2 + 64t#, where t is the number of seconds elapsed since the ball was hit. How long does it take for the ball to hit the ground?
• The height in feet of a golf ball hit into the air is given by #h= -16t^2 + 64t#, where t is the number of seconds elapsed since the ball was hit. For how many seconds is the ball more than 48 feet up in the air?
• Is y = 3x - 10 a linear equation?
• Is #-x+4y=-16# a linear equation?
• Question #0b663
• Question #8d811
• Question #c32f9
• The length of a box is 2 centimeters less than its height. the width of the box is 7 centimeters more than its height. How do you write a polynomial that represents the volume of the box?
• A box without a lid is to be made from a sheet of thin metal. The sheet measures 20 cm by 20 cm. squares of side x cm are cut from each corner and the sides folded up. What is the formula for the volume?
• How do you find h, if the volume of a box V = 0.0144, l = 0.08, and w = 0.6?
• An open-top box is to be constructed from a 6 in by 2 in rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let x denote the length of the side of each cut-out square. What is the volume?
• A rectangular box has a square base and a closed top with dimensions x=length and h=height. How do you write the surface area in terms of x and h?
• The volume of the box is 480 cu units. How do you find the width and length, (height is 6), length is x+2, (width is x)?
• If the volume of box V = 200, L= 12.5, and W = 8, how do you find the height?
• The volume of this box is 288 cubic cm, and the height is 4 cm. the length is triple the height, how do you find the width?
• How do you find the volume of the box given the dimensions are: 3x + 1, 2x - 1, x + 2?
• The width of a rectangular box is 20% of the length. If the perimeter is 192 cm, then what are the length and width of the box?
• How do you find the surface area of a closed rectangular box given Length=6, Width=5, Height=3?
• A box with an open top is to be constructed by cutting 1-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 12in^3?
• How do you find the area and the volume of the box Length = 5, Width = 30, Height = 40?
• Given an open top box with a square base, the box is to have a volume of 6 ft squared . How do you express the surface area as a function of its side, x?
• A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box?
• How do you find the volume of a cube with edge length of 11?
• How do you calculate the volume in cubic inches of a rectangular solid box that is 12 in long, 8 in wide, 6 in tall?
• What is the volume and surface area of a tissue box with L= 9.25 W= 4.75 H= 3?
• How do you find the volume of the box given height: 2x - 1, Length: 5x - 4, width: x + 3?
• A farmer has 240 meters of fencing material to enclose his rectangular plot of land. However, it is bound on one side by a river, and on the opposite side, half the fencing is purchased and supplied by the farmer that owns the lot. See below?
• Question #3179a
• A particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri dish, how many bacteria will there be in 2.5 hours?
• There are two basketball teams in a small town, the Miners and their opponents. In a particular game, the miners score twenty less than two times what their opponents score. A total of #127# points are scored. How many points do the miners score?
• Question #313e5
• Question #855d3
• Question #8c1b5
• A transit company charges $1.25 per ride with 10 000 passengers a day. The company wants to increase profit but realize that with each 10 cent augmentation in fare, they will lose 500 passengers. What should the company charge to maximize profit?
• If a rectangular area is required to have a perimeter of #"100 m"#, what dimensions maximize the area?
• Question #0db4c
• Question #19838
• Lisa is 10cm taller than Ian. Ian is taller than than Jim by 14cm. Every month, all three grow 2cm each. In 7 months time, Ian's and Jim's combined heights will be 170cm greater than Lisa's. How tall is Ian?
• Question #6c321
• Question #713f2
• Nadya and Pavel are driving along a road. Nadya is travelling at a speed of #85 " feet per second "# and Pavel at #1600 " yards per minute"# Who was travelling faster?
• One number is 2 less than another. If 4 times the larger is subtracted from 5 times the smaller, the result is 10. What are the numbers?
• Question #2a36d
• Question #8ef2b
• Sue is learning to ski and her lessons are #1/4, 1/2 " or " 3/4# of an hour long. How many hours of coaching has she had if she had fourteen lessons of #1/4# hour, #9# of #1/2# hour and #7# of #3/4# hour?
• Question #04999
• A certain sum of money at compound interest becomes Rs 7396 in 2 years and Rs 7950.70 in 3 years.Find the rate of interest?(PLs I REQUEST you for URGENT ans)?
• In a class of #250# students, #38%# of them commute daily by train. How many people is this?
• Question #6d4ae
• Question #6e1b9
• There are 3 foods with the following Protein/Fat/Carbs (grams/ounce): 2,3,4; 3,3,1; 3,3,2. We want a meal using the 3 foods that results in 24g of protein, 27g of fat, 20g of carbs. How much of each food is needed?
• The equation #y=0.014x^2+ 0.448x -2.324# models the price of gasoline at a local gas station last March. In the equation, x=1 corresponds to March 1. On which date in March was the gas price the highest? What was the price on that date?
• How do you identify if the following as linear or nonlinear y=5x-4?
• Nick is three years young than Sam. The sum of their ages is 33. How old are they?
• Evaluate the following ?
• Evaluate the following?
• A lighting fixture manufacturer has daily production costs of #C=0.25n^2- 10n+800#, where C is the total daily cost in dollars and n is the number of light fixtures produced. How many fixtures should be produced to yield a minimum cost?
• How do you determine whether each equation is a linear equation: #xy=6#?
• How do you determine whether each equation is a linear equation: #y=2-3x#?
• How do you determine whether each equation is a linear equation: #5x=y-4#?
• Question #8d0dc
• A one hectare plot of land is divided into three lots in the ratio #2:3:5#. What is the size of the largest lot?
• The u S population in 1910 was 92 million people. In 1990 the population was 250 million. How do you use the information to create both a linear and an exponential model of the population?
• In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year for the next five years. How do you write a linear function that models this situation?
• Let #a=root(2016)(2016)#. Which of the following two numbers is greater #2016# or #a^(a^(a^(a^(vdots^a))))#?
• Question #22806
• Question #f8aa1
• The manager of a CD store has found that if the price of a CD is #p(x)= 75-x/6# then x CDs will be sold. An expression for the total revenue from the sale of x CDs is #R(x) =75x-x^2/6# How do you find the number of CDs that will produce maximum revenue?
• The weekly sales of Honolulu Red Oranges is given by #q=1116-18p#, how do you calculate the price elasticity of demand when the price is $31 per orange (yes, $31 per orange)?
• James owns a cafe. A mathematical model connecting profit from selling coffee (in dollars) and x, the price per cup of coffee (in dimes) is #p(x)= -x^2+ 35x+ 34#, how do you find the profit per day if the price per cup of coffee is $1.80?
• John owns a hotdog stand. He has found that his profit is represented b the equation #P= -x^2 +60x +70#, with P being profits and x the number of hot dogs. How many hotdogs must he sell to earn the most profit?
• The product of a positive number, its square, and its reciprocal is #100/81#. What is the number?
• The sums of three whole numbers taken in pairs are #11#, #12#, and #17#. What is the middle number (taken in orders)?
• Question #09159
• Is #y=x^2+3# a linear function?
• Is #3x=4# a linear function?
• Is #y=1# a linear function?
• Is #0.3x+y=2# a linear function?
• Is #x^2(1/y)=3# a linear function?
• Is #y=x# a linear function?
• A soccer player kicks the ball to a height of 1 meter inside the goal. The equation for the height h of the ball at time t is #h=-4.9t^2-5t+2#, how do you find the time the ball reached the goal?
• What is the minimum possible product of two numbers that differ by #8# ?
• Question #e05e2
• Question #a5b62
• If a couple invests $5000 in an account that that earns a 3% interest rate, how long will they need to invest it to earn $1200 in interest?
• Demand curve, supply curve and inelastic diagrams of taxation and educational policies of smoking ?
• Question #6cfb5
• Given the following profit function for a company, #p(s)=-20s^2 +1400s -12000#, if the selling price is $35 how much will the company profit? What's the difference in profit if the selling price is $20 verses $53?
• The function #P(x)=-750x^2 + 15, 000x# models the profit, P, in dollars for a company that manufactures large computers, where x is the number of computers produced. For which value of x will the company make a maximum profit?
• How do you graph #y= 5( 2) ^x#?
• A rectangle with perimeter #70# feet has area #300# square feet. What are its dimensions?
• Question #9a724
• Mr. Johnson worked for a real estate agency. He sold a house for $750,000. The agency's fee for the sale was 9% of the sale price. Mr. Johnson received $25,000 agency's fee as his commission. What percent of the agency's fee did Mr. Johns receive?
• Consumption function #C=4141+0.78Y# was estimated by the UK during the period 1949-1975. What is the marginal propensity to consume during the period?
• Question #bbc8e
• A parabolic flashlight reflector is to be 12 inches across and 4 inches deep. Where should the lightbulb be placed?
• Length of a rectangle exceeds its width by #12# inches and its area is #768# square inches. Write the equation which solves this problem?
• Question #b434a
• You toss a ball into the air from a height of 5 feet velocity of the ball is 30 feet per second. You catch the ball 6 feet from the ground. How do you use the model #6=-16t^2+30t+5# to find how long the ball was in the air?
• Question #9a08d
• Beth's monthly charge for Internet access #c# is represented by the function #c=12+2.50h#, where h# represents the number of hours of usage during a month. What is the total charge for a month in which Beth used the Internet for 9 hours?
• Anna knows that the perimeter of her backyard is #6x^2+ 14x# feet. If the length of her backyard is #2x^2+3x- 7# feet then what is the width of her backyard?
• Question #81fe9
• Question #39436
• Question #f5a07
• Given the quadratic function #y=ax^2+bx+c#, the maximum value is #a^2+ 4#, at #x =1#, and the graph passes through point (3, 1). How do you find the values of the constants a, b, c?
• In a linear relationship two data points are #(9,3)# and #(33,9)#. If the function is #y=mx+b#, we have?
• Question #9c650
• The square of a positive number is 21 more than 4 times the number. How do you find the number?
• If the roots of ax^2 + bx +c = 0 are in the ratio 3:4, prove that 12b^2 = 49ac?
• An amount of sum, when invested at #10%# becomes #$100,000# in #150# days. What is the original amount assuming there are #360# days in a year?
• Question #b3354
• Given real rate of interest #4%# and expected inflation rate #7%#, what is nominal rate of interest?
• If real rate of interest is #6%# and inflation rate is #4%#, what is nominal rate of interest?
• If #a-b=10# and #2*(a+b)^2 = 64# then how do you find #a+b# ?
• A taxi company charges $3 to pick up a fare and $1.50 for each unit of distance driven. How many units did the rider go if the total fare was $21?
• At what points do the functions #y = x^2-x# and #y = sin pix# intersect?
• Solve #a^2+b^2+c^2>= a+b+c# ?
• Question #4435e
• Question #68654
• Question #1a65f
• A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 23 feet more than the length of the shortest side. If the perimeter is 167, what are the three sides?
• Simplyfy #ln(1/90)# in terms of ln?
• Look at the pattern of numbers below. In what row and column does the number 2008 sit?
• Write numbers out in a square grid with 1 in the top left, then move right 1 space and write 2. Write numbers on a down and left diagonal until coming to the side of the grid, then move down 1 space and write numbers in a right and up diagonal?
• Successive numbers starting from #1# are written in a rectangular grid, starting in the top left corner and snaking down diagonally to the right as shown. In which row and column does #2008# occur?
• Question #6a90d
• The function #f(t)=5(4)^t# represents the number of frogs in a pond after #t# years. What is the yearly percent change? the approximate monthly percent change?
• Question #ea7c2
• Question #854f1
• Question #eb541
• The five digit number #2a9b1# is a perfect square. What is the value of #a^(b-1)+b^(a-1)#?
• Question #5101c
• Given that #x# and #y# vary so that #ax + by= c# , where #a,b,c# are constant. Show that the minimum value of #x^2 + y^2# is #c^2/ a^2 + b^2# ?
• Prove that #if u# is an odd integer, then the equation #x^2+x-u=0# has no solution that is an integer?
• Roots of the equation #px(2-x)=x-4m# are #a/3# an #b/3# and while #a+b=9#, #ab=12#. Find #p# and #m#?
• Two pumps working together drain a pool in #6# hours. If older pump itself drains out the pool in #14# hours, how much time will newer pump take to drain the pool?
• Question #b9e5a
• How to solve for #x,y# this system #{(x = y-2),(4y+x^2=16):}# ?
• Question #7a0c4
• If the sum of two numbers is #4# and their product is #3#, then what is the sum of their squares?
• Question #518c1
• Question #bf489
• Question #a2c15
• a) What are the values of #a# and #b# if #x^2+6x-3=(x+a)^2+b#? b) What is the value of #x# if #x^2+6x-3=0#?
• Question #bef4d
• Question #112a0
• 'L varies jointly as a and square root of b, and L = 72 when a = 8 and b = 9. Find L when a = 1/2 and b = 36? Y varies jointly as the cube of x and the square root of w, and Y = 128 when x = 2 and w = 16. Find Y when x = 1/2 and w = 64?
• Question #d17b5
• Question #f41ff
• How to find the value of a and the value of b?
• 'L varies jointly as a and square root of b, and L = 72 when a = 8 and b = 9. Find L when a = 1/2 and b = 36?
• Question #63740
• Question #56893
• For any given even number #sqrtA# that has #m# digits and #A# with #n# digits, is there a relationship between #m# and #n#?
• Question #53d32
• Question #ef867
• An amount say #$800# is invested at a rate of interest of #5%# for #30# years. What is the amount at the end of the period if it is?
• Question #97b1f
• If #2((3x+ 1)/(2x- 5))^2 + (3x + 1)/(2x- 5) - 6= 0#, then what is the value of #x#?
• Suppose an economy opts to produce and consume at combination 'C'. a) What is the opportunity cost for producing 6 more consumer goods? b) What is the opportunity cost for producing 4 more capital goods? c) new possibilities for capital goods (table)
• Suppose that Christina purchased a stock for x dollars. During the first year, the stock's price rose 15%? (a) Write an algebraic expression for the price of the stock after the first year in terms of x. ?
• Question #faad6
• #$6000# are partly invested at #5%# and partly at at #9%#. If interest earned in a year is #$400#, what are amounts invested at #5%# and at #9%#?
• How do you solve the system of equations: #A^(A+1)+B^(B+1)+C^(C+1) = 729# and #A^(1/A) = B^(1/B) = C^(1/C)# ?
• Question #a01c5
• Minimum for #f(x) = x^(2n)+1/x^(2n)# ?
• If #a+b+c=7#, #a^2+b^2+c^2=35# and #a^3+b^3+c^3=151#, then what is #abc# ?
• Hector received a pay raise this year. The raise was 6% of last year's salary. This year he will earn $15,900. What was his salary last year before the raise?
• Equipment was originally worth for $12000 The equipment is expected to last 5 more years and have a salvage value of $3000 what is the deprecation expense after 3 months?
• An amount of #AUD500# is invested in a bank at compound interest?
• Question #9b9bf
• Question #de9db
• Question #8994e
• Question #19e32
• When a discount of #15%# is allowed on the marked price of a article,it is sold for #4250$# . If the marked price is #25%# above the cost price of the article. Calculate gain or loss percentage?
• Question #dc056
• What is the quadratic regression equation for the data set?
• How to write quadratic function given the following information?
• A homeowner made a down payment of $10,000 and pays $700 each month for his mortgage. Write a function that shows how much has been spent on the house in terms of the number of months it has been owned?
• You deposit $200 in a savings account.for each year thereafter , you plan to deposit 15% more than the previous year . About how much money will you have deposited in all after 20 years?