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Qasim is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ½ inch = 10 miles. What is the actual distance between the two cities?

We need to use the scale to figure out the actual distance. The scale is ½ inch = 10 miles, which means that every half inch on the drawing represents 10 miles in real life.

Based on the drawing, the distance between City X and City Y is about 2.5 inches.

To figure out the actual distance, we can use a proportion:

½ inch : 10 miles = 2.5 inches : x miles

Cross-multiplying, we get:

½ inch * x miles = 10 miles * 2.5 inches

Simplifying:

x miles = (10 miles * 2.5 inches) / ½ inch

x miles = 50 miles

Therefore, the actual distance between City X and City Y is 50 miles.

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