the number of feet between two objects varies directly as the number of miles.if the distance between two objects is 2 and one half miles or 13,200 feet, how many feet are equivalent to a distance of 7 miles

Respuesta :

There are 5,280 feet in a mile. 5,280 x 7 = 36,960 feet

Answer:

7 miles are equivalent to 36,960 feet

Step-by-step explanation:

We can solve this using a rule of three, in which we know that 2 and one half or 2.5 miles are equivalent to 13,200 feet, then how many feet are equivalent to 7 miles. This is:

13,200 feet ------------------  2.5 miles

         X         ------------------  7 miles

Where X is the number of feets equivalent to 7 miles. Then, solving for X, we get:

[tex]X=\frac{13,200 * 7}{2.5}=36,960[/tex]

Finally, 7 miles are equivalent to 36,960 feet

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