An astronaut who weighs 126 pounds on Earth weighs only 21 pounds on the moon. How much would a person who weighs 31 pounds on the moon
weigh on Earth? Show your work to receive full credit.

186 pounds

Step-by-step explanation:

let x = pounds on Earth

set up a proportion:   =

cross-multiply:  21x = 3906

divide by 21:   x = 186

186 pounds.

Step-by-step explanation:

By proportion 126/21 =  x/31

6 = x/31

x = 6*31

= 186 pounds.

37

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