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N76 [4]
2 years ago
9

(PLEASE HELP !) Gabe spent $2000 to buy a piano for his music studio. He earns $25 per hour giving piano lessons to students. Le

t h be the number of hours of lessons that Gabe teaches. How many hours of lessons must Gabe teach to earn a $5000 profit?
the amount of hours Gabe must give lessons, then solve the equation to find the number of hours.

You will receive 5 points for your equation and 5 points for your work and answer. You cannot receive full credit for this problem without showing your work for solving your equation.
Mathematics
1 answer:
EastWind [94]2 years ago
6 0

Answer:

280 hours

Step-by-step explanation:

Amount paid + profit = cost of a lesson per hour

$2000   + $5000 = $25(h)

7000 = 25h

7000/25 = h

   280 = h

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Solving:

-7 + y = 3 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-7 + y + -2y = 3 + 2y + -2y

Combine like terms: y + -2y = -1y

-7 + -1y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0

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Add '7' to each side of the equation.

-7 + 7 + -1y = 3 + 7

Combine like terms: -7 + 7 = 0

0 + -1y = 3 + 7

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Combine like terms: 3 + 7 = 10

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Answer:

x^2-12x+27 =0

Step-by-step explanation:

Given a Parabola that intersects the x-axis at x=3 and x=9.

I presume you want to determine the equation of the parabola.

You can use this form:

Given roots of a parabola, the equation of the parabola is derived using the formula:

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The equation of the parabola is:

x^2-12x+27 =0

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