Chapter 4 Exam: Dimensional Analysis question 10 of 10
10.)
A recycling company makes $500 per ton of aluminum scrap collected. If the company collects 200 pounds of aluminum scrap per day, how
many days are needed to make $2500? (Tip: One ton equals 2000 pounds).

50 days are needed to make $2500.

Step-by-step explanation:

Number of tons per day:

One ton equals 2000 pounds, as the problem states as a hint.

The company collects 200 pounds per day.

1 ton - 2000 pounds

x tons - 200 pounds

2000x = 200

x = 200/2000

x = 0.1

0.1 tons per day.

A recycling company makes $500 per ton of aluminum scrap collected.

0.1*500 = $50 per day.

How many days are needed to make $2500?

1 day - $50

x days - $2500

50x = 2500

x = 250/5

x = 50

50 days are needed to make $2500.

(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