The park and movie theater are 3.4 inches apart on a map. If the map has a scale of 0.25 inch = 5 miles, find the actual distance between the park and movie theater

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30-03-2020
Mathematics

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The park and movie theater are 3.4 inches apart on a map. If the map has a scale of 0.25 inch = 5 miles, find the actual distance between the park and movie theater

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monica789412 monica789412 · Answer 1 · 2020-04-07T13:27:56+02:00

The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.

Step-by-step explanation:

The given is,

Park and movie theater are 3.4 inches apart

Map has a scale of 0.25 inch = 5 miles

Step:1

Formula to calculate the number of scales for distance between park and theater,

[tex]= \frac{Distance in map}{Scale value of map}[/tex]

[tex]= \frac{3.4}{0.25}[/tex]

= 13.6

number of scales for distance between park and theater = 13.6

Step:2

Formula to convert distance inches to miles

[tex]= Number of scale[/tex] × [tex]Equivalent value inches to miles[/tex]

= 13.6 × 5

= 68

Actual distance between park and theater = 68 miles

Result:

The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.