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Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

Sagot :

MrRoyalidn

Answer:

[tex]s = \frac{4p}{3} -100[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{3(s + 100)}{4}[/tex]

Required

Solve for s

[tex]p = \frac{3(s + 100)}{4}[/tex]

Multiply both sides by 4

[tex]4 * p = \frac{3(s + 100)}{4} * 4[/tex]

[tex]4 * p = 3(s + 100)[/tex]

[tex]4p = 3(s + 100)[/tex]

Open bracket

[tex]4p = 3s + 300[/tex]

Subtract 300 from both sides

[tex]4p -300= 3s + 300 -300[/tex]

[tex]4p -300= 3s[/tex]

Divide both sides by 3

[tex]\frac{4p -300}{3}= \frac{3s}{3}[/tex]

[tex]\frac{4p -300}{3}= s[/tex]

[tex]s = \frac{4p -300}{3}[/tex]

Split

[tex]s = \frac{4p}{3} -\frac{300}{3}[/tex]

[tex]s = \frac{4p}{3} -100[/tex]

Sunflowerlover111618idn

Answer: b

Step-by-step explanation:

i just did it and got it right

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