Jeremiah is working on a model bridge. he needs to create triangular components, and he plans to use toothpicks. he finds three toothpicks of lengths 4 in., 5 in., and 2 in. will he be able to create the triangular component with these toothpicks without modifying any of the lengths? yes, according to the triangle inequality theorem yes, according to the triangle sum theorem no, according to the triangle inequality theorem no, according to the triangle sum theorem

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.