If Mr. O'Brien cuts five lawns per day at $40 each, and he has a goal of making $3500, how many days will it take to reach that goal?

17 days and a half.

Step-by-step explanation:

First, we can find how much money he makes per day cutting lawns. This can be found with the equation:

40 x 5 = 200

He makes $200 a day cutting lawns.

Now we can divide his goal money ($3500) by his daily rate ($200) to get the number of days it will take to reach his goal.

3500 ÷ 200 = 17.5

It will take him 17.5 days to reach his goal.

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0