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A scale on a hiking map shows that 3 inches represents 1.25 miles. What number of inches on the map represent 10 actual miles? ◻ inches

A scale on a hiking map shows that 33 inches represents 11.2525 miles.\newlineWhat number of inches on the map represent 1010 actual miles?\newline□ \square inches

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Full solution

Q. A scale on a hiking map shows that 33 inches represents 11.2525 miles.\newlineWhat number of inches on the map represent 1010 actual miles?\newline□ \square inches
  1. Calculate Inches per Mile: First, let's find out how many inches represent one mile by dividing the number of inches by the miles they represent. 3 inches1.25 miles=2.4 inches per mile.\frac{3 \text{ inches}}{1.25 \text{ miles}} = 2.4 \text{ inches per mile}.
  2. Find Inches for 1010 Miles: Now, we need to find out how many inches represent 1010 miles by multiplying the inches per mile by the number of miles.\newline2.42.4 inches/mile ×10\times 10 miles =24= 24 inches.

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