A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the length and width by the same amount. Find the number of0 inches by which each dimension must be increased.

5 inches

Step-by-step explanation:

(5 + x)(10 + x) = 6x²

x² + 15x + 50 = 6x²

5x² - 15x + 50 = 0

x² - 3x + 10 = 0

(x - 5)(x + 3) = 0

x = 5, x = -3

We want x to be positive, so x = 5.

Thus, each dimension must be increased by 5 inches.

i really dont know

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.