The mass of a substance varies directly with the volume of the substance the volume of 100 kilograms of the substance is 80 liters. what is the volume of liters of 3.2 kilograms of the substance

Important concepts: Mass varies directly with Volume

Mass = Constant * Volume

Mass = 100 kg

Volume = 80 L

100 = k * 80

100 / 80 = k

1.25 = k

NEW Mass = 3.2 kg

Mass = Constant * Volume

3.2 = (1.25) * V

3.2 / 1.25 = V

2.56 = V

Your answer is 2.56 Liters! Hope that helps!

(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