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18 September, 09:40

Cilia cycles 4.2 km every morning. How many feet are in 4.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? A. 13,782.47 feet

B. 22,176.00 feet

C. 35,681.18 feet

D. 44,352,00 feet

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Answers (1)
  1. 18 September, 11:23
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    There are 13,782.47 feet in 4.2 kilometers ⇒ answer A

    Step-by-step explanation:

    - Cilia cycles 4.2 km every morning

    - We need to convert the kilometers to feet

    - 1 mile = 1.609 kilometers

    - 1 mile = 5,280 feet

    * Lets do that

    ∵ 1 mile = 1.609 km

    ∵ 1 mile = 5,280 feet

    - Equate them

    ∴ 1.609 km = 5, 280 miles

    * Now we can use the cross multiplication to find how many feet in

    4.2 kilometers

    → km : feet

    → 1.609 : 5,280

    → 4.2 : x

    - By using cross multiplication

    ∴ 1.609 x = 4.2 * 5,280

    - Multiply 4.2 by 5,280

    ∴ 1.609 x = 22176

    - Divide both sides by 1.609

    ∴ x = 13782.47

    ∵ x represents the number of feet in 4.2 kilometers

    ∴ There are 13,782.47 feet in 4.2 kilometers
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