Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. The number of 4 points questions is one-third the number of 2-point questions. How many 2- and 4-point questions are on the test?

25 4-point questions and 75 2-point questions

Step-by-step explanation:

Let x = no. of 4-point questions

Then 3x = no. of 2-point questions

So, x + 3x = 100

4x = 100

x = 25 =  no. of 4-point questions

and 3x =  3(25) = 75 = no. of 2-point questions

2

Step-by-step explanation:

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.