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Three-fourths of an inch on a map equals 500 miles. from chicago to cleveland is 1/2 of an inch. how far would this be

User Triet Doan
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2 Answers

4 votes

Final answer:

To find the actual distance from Chicago to Cleveland, you can use the given scale and set up a proportion.

Step-by-step explanation:

To find the actual distance from Chicago to Cleveland, we need to use the given scale and set up a proportion.

Since three-fourths of an inch on the map equals 500 miles, we can set up the following proportion:

3/4 inch / 500 miles = 1/2 inch / x miles

To solve for x, the actual distance from Chicago to Cleveland, we cross-multiply and divide:

3/4 inch * x miles = 1/2 inch * 500 miles

x miles = (1/2 inch * 500 miles) / (3/4 inch)

Calculating this, we find that the actual distance from Chicago to Cleveland is approximately 333.33 miles.

User Matoeil
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3/4 of an inch is equal to 500 miles, therefore, one inch equals 666.67 miles.
If Chicago to Cleveland is 1/2 of an inch, then the distance between the two is 333.33 miles.
User Akshay Lokur
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6.0k points