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2. On a map of the United States, 24 centimeters represents 18 miles.How many centimeters represent one mile? how long is the line segment between A and B in centimeters? If A and B represent two cities, what is the actual distance between the two cities

User Sobik
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On a map of the United States, 24 centimeters represents 18 miles.

How many centimeters represent one mile?

We can set up the following proportion


\frac{x\operatorname{cm}}{1\: mi}=\frac{24\operatorname{cm}}{18\: mi}

Let us solve the equation for x.


\begin{gathered} x=\frac{24\operatorname{cm}}{18\: mi}\cdot1\: mi \\ x=(4)/(3)\operatorname{cm} \end{gathered}

Therefore, 4/3 cm represents one mile.

User Inesa
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