a map of a town s main street uses a scale of 1 inch to represent 1 2 mile if the distance between two shops on the map is
Question
A map of a town's main street uses a scale of 1 inch to represent 1/2 mile. If the distance between two shops on the map is 2.5 inches, what is the distance between the shops in miles?
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Answer to a math question A map of a town's main street uses a scale of 1 inch to represent 1/2 mile. If the distance between two shops on the map is 2.5 inches, what is the distance between the shops in miles?
Solution:
1. Given:
- Scale: 1 \text{ inch} = \frac{1}{2} \text{ mile}
- Distance on the map: 2.5 \text{ inches}
2. Convert the distance on the map to the actual distance:
- Actual distance = \text{Distance on the map} \times \text{Scale}
- 2.5 \text{ inches} \times \frac{1}{2} \text{ mile/inch}
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