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rewona [7]
3 years ago
8

The equation y = 180 + 5x represents the amount the cheerleaders will pay a company for custom stadium blankets, where x represe

nts the number of blankets purchased and y represents the total cost in dollars.
The equation y = 10x represents the club's income from selling the blankets, where y represents the money earned in dollars and x represents the number of blankets sold. The graph below represents this situation.
Assuming that the club members sell all the stadisum blankets they purchase, when will the club make a profit?
A-When 36 blankets are sold
B-When 360 blankets are sold.
C-When 37 or more blankets are sold.
D-When 35 or fewer blankets are sold.

Mathematics
1 answer:
Zanzabum3 years ago
3 0
..........The answer is C
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I need help with this
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Answer:

  s = -24

Step-by-step explanation:

This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.

<h3>Solution</h3>

<u>Step 1</u>

Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.

  7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}

<u>Step 2</u>

Multiply both sides by the inverse of the coefficient of the variable.

  (6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}

<h3>Alternate solution</h3>

Often, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.

Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.

  7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}

You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.

<h3>Check</h3>

The value we found for the variable can be checked in the original equation.

  7=\dfrac{1}{6}(-24)+11\\\\7=-4+11\qquad\text{true}

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Answer:

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