Question #a4ba6

2 Answers
Mar 23, 2017

Answer:

#=58 cm #

Explanation:

#3/120times2320#

#=2320/40#

#=58#

Mar 23, 2017

Answer:

# 58 cm# on the map.

Explanation:

Scale questions can be calculated using direct proportion, because they always involve a comparison between two quantities.

Make sure that if the units are different, they match.
(either left and right side, or top and bottom)

Scale: #3cm : 120 "miles"#

We are given miles, but we want the #cm# distance on the map.

#"map distance" and " actual distance"#
#color(white)(.............)darrcolor(white)(...........)darr#
#color(white)(.............)(3 cm)/(x cm) = (120 " miles")/(2320" miles")" "# cross multiply.
#color(white)(.............)uarrcolor(white)(...........)uarr#
#"map distance" and " actual distance"#

#120x = 3 xx2320#

#x = (3 xx2320)/120#

#x = 58 cm#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You can also find out how many miles #1cm# represents.

#3cm # represents #120# miles
#1cm# represents #40# miles

So if you divide the actual length by #40# you will find the number of #cm#

#2320/40 = 58cm#