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Doss [256]
3 years ago
6

Mr. Arnold needs to repaint the outside of his house. He estimates that the area he needs to paint is about 1,600 square feet. E

ach gallon of paint will cover about 250 square feet. Mr. Arnold has 1 gallon of paint left over from the last time he painted that he can use this time. Will Mr. Arnold need to buy more than 5 gallons of paint? Use an equation to complete the explanation for your reasoning.
Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0
<span>Area that needs to be painted=1600 sq.ft. 1 gallon of paint covers 250 sq.ft. Total area for which paint needs to be bought=1600-250 sq.ft=1350 sq.ft. [Since, Mr. Arnold already has 1 gallon of paint] Total paint that needs to be bought=1350/250=5.4 gallons Alternatively, Total paint required=(Area to be painted/Coverage of 1 gallon of paint)-1 [Since, Mr. Arnold already has 1 gallon of paint] Total paint required= (1600/250)-1 gallons =6.4-1 gallons=5.4 gallons of paint is required</span>
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The solution system to 3y-2x=-9 and y=-2x+5
Alecsey [184]

Answer:

\boxed{(3,-1)}

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well to find the solution the the given system,

3y - 2x = -9

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So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.

3(-2x + 5) - 2x = -9

Distribute

-6x + 15 - 2x = -9

-8x + 15 = -9

-15 to both sides

-8x = -24

Divide -8 to both sides

<u>x = 3</u>

<u />

Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.

y = -2(3) + 5

y = -6 + 5

<u>y = -1</u>

<u><em /></u>

So the solution is (3,-1).

<em />

<em>Hope this helps :)</em>

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