Mathematics: What statement could be used to prove that m // n? HELP

What statement could be used to prove that m //

Ответ:

damari9288

03.12.2020

Mathematics

The cost of one box of oranges = $3.3

Step-by-step explanation:

Let x be cost of one box of oranges and y be the cost of one box of grapefruit.

We have been given that Mrs. Whitten purchased 3 boxes of oranges and 2 boxes of grapefruit from a student for a total of $22.50. We can represent this information as:

3x+2y=22.50...(1)

Mr. Rutig purchased 1 box of oranges and four boxes of grapefruit, spending a total of $28.50. We can represent this information as:

x+4y=28.50...(2)

We will solve our system of linear equations using substitution method.

From equation (1) we will get,

$y=\frac{22.50-3x}{2}$

Substituting y's value in equation (2) we will get,

$x+4*(\frac{22.50-3x}{2})=28.50$

x+2*(22.50-3x)=28.50

Upon distributing 2 we will get,

x+45-6x=28.50

x-6x=28.50-45

-5x=-16.5

$x=\frac{-16.5}{-5}$

x=3.3

Therefore, the cost of one box of oranges is $3.3.

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What statement could be used to prove that m // n?
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