On a map, the distance between Greenville and Fairview is 7 1/4 inches. If the map uses a scale of 1/2 inch = 40 miles, what is

Question

3 years ago

13

the actual distance between the cities?

1 answer:

lubasha [3.4K] · Answer 1 · 2022-04-11T04:40:02+03:00

The actual distance between cities is 580 miles.

Step-by-step explanation:

Map distance = $7\frac{1}{4}$ inches = $\frac{29}{4}\ inches$

Scale used;

$\frac{1}{2}\ inches = 40\ miles$

Multiplying both sides by 2

$2*\frac{1}{2}=40*2\\1\ inch = 80\ miles\\$

Now,

$\frac{29}{4}\ inches = \frac{29}{4}*80\\\\\frac{29}{4}=29*20\\\\\frac{29}{4}\ inches = 580\ miles$

The actual distance between cities is 580 miles.

Keywords: fraction, multiplication

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