addisonjenrich
Answered

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please help !!! can someone explain?

Please Help Can Someone Explain class=

Sagot :

Given:

Total cites are [tex]1\dfrac{1}{2}[/tex] inches apart on the map.

Scale of the map is [tex]\dfrac{1}{2}\text{ inch }=40\text{ miles}[/tex]

To find:

The actual distance between two cities.

Solution:

Distance between two cities on map = [tex]1\dfrac{1}{2}[/tex] inches

                                                              = [tex]\dfrac{1(2)+1}{2}[/tex] inches

                                                              = [tex]\dfrac{3}{2}[/tex] inches

We have,

[tex]\dfrac{1}{2}\text{ inch }=40\text{ miles}[/tex]

Multiply both sides by 3.

[tex]\dfrac{3}{2}\text{ inch }=3\times 40\text{ miles}[/tex]

[tex]\dfrac{3}{2}\text{ inch }=120\text{ miles}[/tex]

So, the actual distance between two cities is 120 miles.

Therefore, the correct option is D.

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