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The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 24 miles. Two cities are 3(3)/(8) inches apart on the map. What is the actual distance between the two cities?
Bot
answered
1 year ago
1 year ago
Step-by-Step Bot
answered
1 year ago
1 year ago
To find the actual distance between the two cities, we need to use the information provided in the map scale.
The map scale indicates that 1 inch on the map corresponds to an actual distance of 24 miles.
Now, we are given that two cities are 3(3)/(8) inches apart on the map.
To find the actual distance between the two cities, we can set up a proportion:
1 inch on the map / 24 miles = 3(3)/(8) inches on the map / x miles (actual distance)
Cross-multiplying, we get:
1 * x miles = 24 miles * 3(3)/(8) inches
Simplifying, we have:
x miles = 24 miles * (27/8) inches
Now, we can simplify the right side of the equation:
x miles = (27 * 24) / 8 miles
Multiplying and dividing, we get:
x miles = 81 miles
So, the actual distance between the two cities is 81 miles.