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omeli [17]
3 years ago
5

A mowing company charges $840 plus $17 per hour. Another moving company charges $760 plus $22 per hour. How long is a job that c

osts the same no matter which company is used?
Mathematics
1 answer:
Korvikt [17]3 years ago
3 0

Answer: 16 hours

Step-by-step explanation:

The two equations are:

840 + 17x

and

760 + 22x

with x being the amount of hours

840 + 17x = 760 + 22x  

-760

80 + 17x = 22x

-17x

80 = 5x

/5

16 = x

840 + 17(16) = 1,112

760 + 22(16) = 1,112

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Answer:

x = 0.75

Step-by-step explanation:

Simplifying

(7x + -5) + -1(3x + -2) = 0

Reorder the terms:

(-5 + 7x) + -1(3x + -2) = 0

Remove parenthesis around (-5 + 7x)

-5 + 7x + -1(3x + -2) = 0

Reorder the terms:

-5 + 7x + -1(-2 + 3x) = 0

-5 + 7x + (-2 * -1 + 3x * -1) = 0

-5 + 7x + (2 + -3x) = 0

Reorder the terms:

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Combine like terms: -5 + 2 = -3

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Combine like terms: 7x + -3x = 4x

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Solving

-3 + 4x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.

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0 + 4x = 0 + 3

4x = 0 + 3

Combine like terms: 0 + 3 = 3

4x = 3

Divide each side by '4'.

x = 0.75

Simplifying

x = 0.75

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