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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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<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

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   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

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Ohio's resources support manufacturing equipment.

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3 years ago
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<span>Hello : let  A(5,-4)    B(-1,8)
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julia-pushkina [17]
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Hope this helps! :D
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3 years ago
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