flying against the wind an airplane travels 8460 kilometers in 9 hours. flying with the wind, the same plane travels 9600 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind

Let a be the speed of the plane and w the wind speed.

a - w = (8460 km)/(9 h) = 940 km/h

a + w = (9600 km)/(8 h) = 1200 km/h

Add these speeds together to eliminate w and solve for a :

2a = 1740 km/h

a = 870 km/h

Subtract the first vector from the second to eliminate a and solve for w :

2w = 260 km/h

w = 130 km/h

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.