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vaieri [72.5K]
3 years ago
12

Marcus was training for a 2,000 meter race. He had to alternate between running and walking.

Mathematics
2 answers:
evablogger [386]3 years ago
6 0

Answer:

if marcus ran 1,600 meters that means he walked 400 meters

Step-by-step explanation:

masya89 [10]3 years ago
3 0
The person above me said what I wanted to say
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Bailey, Jeremiah, and Maggie are buying school supplies. Bailey buys 2 pens and 6 pencils and spends a total of $7.00. Jeremiah
CaHeK987 [17]
<h2>Explanation:</h2>

Here we have to solve a system of linear equations in three variables. Let:

x: Cost of pens

y: Cost of pencils

We know that:

  • Bailey buys 2 pens and 6 pencils and spends a total of $7.00. So:

2x+6y=7 \ ... \ eq1

  • Jeremiah buys 3 pens and 5 pencils and spends a total of $7.50. So:

3x+5y=7.5 \ ... \ eq2

Multiplying eq1 by 3 and eq 2 by -2:

\bullet \ 3(2x+6y)=3(7) \\ \\ 6x+18y=21 \\ \\ \\ \bullet \ -2(3x+5y)=-2(7.5) \\ \\ -6x-10=-15

Then adding these two resultant equations:

6x+18y=21 \\ \\ -6x-10y=-15 \\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ \\ 8y=6 \\ \\ y=0.75 \\ \\ \\ So \ from \ eq \ 1: \\ \\ 2x+6(0.75)=7 \\ \\ 2x=7-4.5 \\ \\ 2x=2.5 \\ \\ x=1.25

How much will Maggie spend to purchase 4 pens?

Each pen costs $1.24, so 4 pens will cost:

\text{Cost of 4 pens}=4(1.25)=\boxed{\$5}

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