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Cross multiply and solve for x.
500/2.3 = 800/x
On the map, city C and city D are ___ feet apart.
500/2.3 = 800/x
The scale indicates that 500 miles is represented by 2.3 feet on the map. So you can set up a proportion to find the distance between city C and city D on the map.
Let's use the variable 'x' to represent the distance between city C and city D on the map in feet. The proportion would be:
500 miles / 2.3 feet = 800 miles / x feet
To solve for 'x', we can cross-multiply:
(500 miles) * (x feet) = (2.3 feet) * (800 miles)
500x = 2.3 * 800
Now divide both sides by 500 to isolate 'x':
x = (2.3 * 800) / 500
x ≈ 3.68 feet
Therefore, on the map, city C and city D are approximately 3.68 feet apart.