A landscape company charges $100 plus $15 per hour. Another company charges $75 plus $17 per hour. How long is a job that costs the same no matter which company is used?

Let x = time in hours

Since their costs must be the same,
100 + 15x = 75 + 17x
Solving,
100 - 75 = 17x - 15x
25 = 2x
x = 25/2 or 12.5 hours

Hope this helps~ :3

Can you help me with this question: A boat travels 36 miles in 60 minutes. Find the unit rate. Round you answer to the nearest thousandth if necessary.

36mi/60min = 0.6 mi/min

note that it's also 36 mi/hr

To find out the length of a job that costs the same no matter which company is used, we need to set up an equation.

Let's define "x" as the number of hours required for the job.

For the first company, the total cost can be calculated by adding the base charge of $100 with the hourly rate of $15 multiplied by the number of hours: 100 + 15*x.

For the second company, the total cost can be calculated similarly: 75 + 17*x.

Since we want to find the number of hours that results in the same cost for both companies, we can set up an equation equating the two costs:

100 + 15*x = 75 + 17*x.

To solve for x, let's simplify the equation:

15*x - 17*x = 75 - 100,
-2*x = -25.

Dividing both sides of the equation by -2, we get:

x = -25 / -2,
x = 12.5.

The result is x = 12.5 hours. Therefore, the job would cost the same amount regardless of which company is used if it takes 12.5 hours to complete.