Two pumps at a local water facility can only run indicidually .they will run for atleast 18 hours in a day but obviously no more than 24 jours in a day .Pump 1 can move 120 gallons per hour while pump2 can move 200 gallons per hour. in total the two pumps must move at lease 3,000 gallons of water per day. if x represents the number of hours that pump 1 runs and y represents the number of hours that pump 2 runs, write a system of inequalitites that models all conditoons

the answer is 99.

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.

  or  

sin y = 7/q

7 is the opposite side length, q is the hypotenuse

tan y = 7/r

7 is the opposite side length, r is the adjacent side length

using sohcahtoa ^^^^

cos y = adjacent/hypotenuse

cos y = r/q