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Degger [83]
3 years ago
8

Please help ty!

Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Step-by-step explanation:

Let

Number of hours = h

Equation to calculate the cost of cleaning your house

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Find the number of hours when the cost of cleaning house by both companies will be equal

Klean company = Dustbuster cleaning services

20 + 25h = 35h

20 = 35h - 25h

20 = 10h

h = 20/10

h = 2 hours

Number of hours = h = 2 hours

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Equation: SOLVE


Solution for 10=4(x-1)-(x-8) equation:

Simplifying
10 = 4(x + -1) + -1(x + -8)

Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)

Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)

Reorder the terms:
10 = -4 + 8 + 4x + -1x

Combine like terms: -4 + 8 = 4
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Combine like terms: 4x + -1x = 3x
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Solving
10 = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4

Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10

Combine like terms: 10 + -10 = 0
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Combine like terms: 4 + -10 = -6
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Divide each side by '-3'.
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Simplifying
x = 2
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