Combine Like Terms:
10z + 2z - 2

12z-2

Step-by-step explanation:

We are given the expression:

10z+2z-2

and asked to combine like terms.

First, let’s analyze each term.

10z : has the variable “z”

2z : has the variable “z”

-2 : does not have a variable

The like terms in this expression are the 2 terms with the variable “z”. Add the 2 terms, 10z and 2z.

10z + 2z -2

(10z+2z)-2

(10+2)z-2

(12)z -2

(12z)-2

12z-2

The expression 10z+2z-2 when simplified is 12z-2.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

134.6 us dollars

step-by-step explanation:

1 us dollar = 1.33 canadian dollars

so, 150 us dollars = 150 × 1.33 = $199.5.

in canada, the money mitchell spent = 20 canadian dollars.

remaining canadian dollars with him = 199.5 - 20 = 179.5.

after mitchell returned to us, he exchanged the remaining canadian dollars to us dollars.

179.5 canadian dollars = 179.5 × 0.75 = 134.6 us dollars.