Haley measured the distances between her house and two of her friends’ houses. Ellen’s house is 1. 41 miles away from Haley’s, and Dirk’s house is 6,547 feet away from Haley’s. Whose house is farther away from Haley’s, and how many feet farther away is it, to the nearest whole foot? a. Ellen’s house is 898 feet farther away than Dirk’s. B. Ellen’s house is 1,659 feet farther away than Dirk’s. C. Dirk’s house is 503 feet farther away than Ellen’s. D. Dirk’s house is 1,267 feet farther away than Ellen’s.

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18-01-2022
Mathematics

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Haley measured the distances between her house and two of her friends’ houses. Ellen’s house is 1. 41 miles away from Haley’s, and Dirk’s house is 6,547 feet away from Haley’s. Whose house is farther away from Haley’s, and how many feet farther away is it, to the nearest whole foot? a. Ellen’s house is 898 feet farther away than Dirk’s. B. Ellen’s house is 1,659 feet farther away than Dirk’s. C. Dirk’s house is 503 feet farther away than Ellen’s. D. Dirk’s house is 1,267 feet farther away than Ellen’s.

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astha8579 astha8579 · Answer 1 · 2022-01-25T14:27:49+01:00

There is relationship between miles and feet. 1 mile has 5280 feet.

Option A: Ellen's house is 898 feet farther away than Dirk’s. is correct.

How are miles and feet related?

Miles and feet both measures distance. The relationship between the two is given by the expression:

1 mile = 5280 feet.

How to convert the distance from Dirk's house to Haley's house?

You can use the above given relation to find how many miles are there houses apart.

[tex]1 \: \rm mile = 5280 \: \rm feet.\\\\ 1 \: feet = \dfrac{1}{5280} \: miles\\\\ 6547\: feet = \dfrac{6547}{5280} \: miles \approx 1.24 \: miles[/tex]

Difference between both the distance is 1.41 - 1.24 = 0.17 miles

Converting this to feet:

[tex]1\rm \: mile = 5280 \: feet\\ 0.17 \: mile = 5280 \times 0.17 \approx 898 \: feet[/tex]

Thus, Option A: Ellen's house is 898 feet farther away than Dirk’s. is correct.

Learn more about feet and miles here:

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