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?

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Hermann
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127 Answers
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}

3. Perform the multiplication:
2.5 \times \frac{1}{2} = \frac{2.5}{2} = 1.25 \text{ miles}

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