If the volume for 3-d polyhedra a is 200 cm3 and the volume for 3-d polyhedral b is 800 cm3, how many times bigger is the volume of pyramid b than pyramid a?
a. 0.4%
b. 4%
c. 40%
d. 400%

 The correct option is (D). 400%.

Step-by-step explanation: Given that the volume for a 3-D polyhedral A is 200 cm³ and the volume for a 3-D polyhedral B is 800 cm³.

We are to find how much bigger is the volume of pyramid B than pyramid A.

The required percentage by which the volume of pyramid B is bigger than pyramid A is given by

Thus, the correct option is (D).

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)