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Nate is looking for a repair service for general household maintenance. One
service charges $75 to join the service and $30 per hour. Another service charges
$15 to join the service and $40 per hour. After how many hours of service is the
total cost for the two services the same?

Respuesta :

rafikiedu14

Answer: Total cost for the two services of hours = $6.

Step-by-step explanation:

Given data,

Nate is looking for a repair service for general household maintenance.

First service charges = $75

First service charge per hour = $30 per hour

Another service charges = $15

Another service charge per hour = $40 per hour

Total cost of hours of service is = x

So,

We can write,

                          75 + 30x = 15 + 40x

Rearrange variables to the left side of the equation,

                          30x - 40x = 15 - 75

Combine like terms,

                                  -10x = 15 - 75

Calculate the sum or difference,

                                    -10x = -60

Divide both sides of the equation by the coefficient variable,

                                      x = -60/-10

Determine the sign for multiplication or division,

                                      x = 60/10

Cross out the common factor,

                                       x = 6

Therefore,

Total cost for the two services of hours = $6.

Learn more about event correlation here: brainly.com/question/625312

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