A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included $35 for the part, a $40 service charge, and $30 per hour for labor. What is the maximum number of hours the repairman estimated for the job?

The maximum number of hours the repairman estimated for the job is 5.

Step-by-step explanation:

It's simple. First, all you have to do is start with the budget he gave you and subtract the fixed price.

225 - 35 - 40 = 150

Then, use the money you have left over (150) and divide by how much he pays per hour which equals 5.

150/30 = 5

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the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."