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On a world map ​, the distance between city A and city B is 11.375 inches. The two cities are actually 3413 miles apart. On the same map ​, what would be the distance between city C and city​ D, two cities that are actually 3082 miles​ apart? Use a proportion to solve this problem.

 Nov 15, 2016

Best Answer 

 #1
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3,413 / 11.375 =~300

The scale on the map for cities A and B is:

1 inch for every 300 miles

3,082 / 300 =10.273 inches-distance on map between cities C and D.

 Nov 16, 2016
 #1
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+5
Best Answer

3,413 / 11.375 =~300

The scale on the map for cities A and B is:

1 inch for every 300 miles

3,082 / 300 =10.273 inches-distance on map between cities C and D.

Guest Nov 16, 2016
 #2
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+5

On a world map ​, the distance between city A and city B is 11.375 inches.

The two cities are actually 3413 miles apart.

On the same map ​,

what would be the distance between city C and city​ D,

two cities that are actually 3082 miles​ apart?

Use a proportion to solve this problem.

 

\(\begin{array}{|rcll|} \hline && \displaystyle \frac{ 11.375\ \text{inches} }{ 3413\ \text{miles} } \cdot 3082\ \text{miles} &=& \displaystyle\frac{11.375\cdot 3082}{3413} \ \text{inches}\\\\ &=& \displaystyle 10.2718283035 \ \text{inches}\\ \hline \end{array}\)

 

The distance between city C and city D on the map is 10.272 inches.

 

laugh

 Nov 16, 2016

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