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A large map has a scale of 1.5 inches =40inches. If two cites are 1.5 feet apart on the map, what is the actual distance between them?

1 Answer

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Final answer:

To find the actual distance between the two cities on the map, we can set up a proportion using the given scale. By solving the proportion, we find that the actual distance between the cities is 40 feet.

Step-by-step explanation:

To find the actual distance between the two cities, we need to use the given scale and convert the distance on the map to the corresponding actual distance.

Since the scale is 1.5 inches = 40 inches, we can set up a proportion:

1.5 inches / 40 inches = 1.5 feet / x

To solve for x, we can cross multiply and then divide:

1.5 inches * x = 40 inches * 1.5 feet

x = (1.5 feet * 40 inches) / 1.5 inches

= 40 feet

By simplifying the equation, we find that x = 40 feet.

Therefore, the actual distance between the two cities is 40 feet.

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