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Mama L [17]
3 years ago
10

A father walks 36 miles in 12 hours while his son covers the same distance on a bicycle at twice the father's rate of speed. At

this rate, how many miles would the bicycle rider travel in 9 hours?
A.52 1/2 miles B. 29 1/2 miles C. 48 miles D.54 miles

Thx! Asvab Q. :)
Mathematics
2 answers:
anygoal [31]3 years ago
5 0

it would be d.)54 miles

denis-greek [22]3 years ago
3 0
6 miles per hour °9 hours = 54 miles
so the answer is
D. 54 miles
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

3(x - 2) + 8 = 2(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                                                                                               3(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

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