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julia-pushkina [17]
3 years ago
8

Rae runs 4 times as many miles as Madison and Aaliyah combined. Madison runs m miles, and Aaliyah runs a miles.

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:  4(m+a)

Step-by-step explanation:

<h3> The complete exercise is: "Write an expression using letters and/or numbers for each problem below"</h3>

For this exercise it is necessary to remember the following:

1. The word "times" indicates multiplication,

2. The word "combined" indicates addition.

In this case let "m" represents the amount of miles that Madison runs and let "a" represents the amount of miles that Aaliyah runs.

Based on the explained above, you know if the amount of miles that Madison runs and the amount of miles that Aaliyah runs are combined (or in other words, they are added), then the expression that represents this would be:

m+a

Therefore, you can determine that "4 times as many miles as Madison and Aaliyah combined", can represented with the following expression:

4(m+a)

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Answer:

(3, -6)

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x - 18

y = -5x + 9

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

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                           4x - 18 = -5x + 9
  2. [Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9
  3. [Addition Property of Equality] Add 18 on both sides:                                   9x = 27
  4. [Division Property of Equality] Divide 9 on both sides:                                  x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = 4(3) - 18
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  3. Subtract:                                                                                                            y = -6
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