balancingmist9105 balancingmist9105
  • 25-01-2021
  • Mathematics
contestada

The legend on a map reads 1.25 inches represents 500 miles. If the measurement on the map between two locations is 3 inches, how far apart are they? Show your work.

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joaobezerra joaobezerra
  • 29-01-2021

Answer:

These two locations are 1200 miles apart.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

We have that:

1.25 inches represents 500 miles. 3 inches will represent x miles. So

1.25 inches - 500 miles

3 inches - x miles

Applying cross multiplication:

[tex]1.25x = 500*3[/tex]

[tex]1.25x = 1500[/tex]

[tex]x = \frac{1500}{1.25}[/tex]

[tex]x = 1200[/tex]

These two locations are 1200 miles apart.

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