Mary spends 40% of her monthly earnings on rent and 10% of the remaining amount on entertainment. if she spends $800 for rent, how much does she use for entertainment?

$120

Step-by-step explanation:

40% of the earnings is spent on rent.

The earnings is an unknown, so we call it x.

The rent is $800, so 40% of x equals $800.

40% * x = 800

0.4x = 800

x = 800/0.4

x = 2000

She earns $2000 per month.

After paying rent, the remaining amount is

$2000 - $800 = $1200

She spends 10% of the remaining amount on entertainment.

10% of $1200 = 10% * $1200 = 0.1 * $1200 = $120

d

step-by-step explanation:

d

(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