The following rectangular pyramid has a height of 2 units and a volume of 18 cubic units. The oblique rectangular prism has a congruent base and the same height, and its slant height is 3 units. What is the volume of the prism?
(Choice A)
A
6 cubic units

(Choice B)
B
18 cubic units

(Choice C)
C
36 cubic units

(Choice D)
D
54 cubic units

54 cubic units

Step-by-step explanation:

I did it on khan academy and I got it right

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)