math knowledge

What is 4 cubed?

4 cubed is 4 x 4 x 4 = 64

If 40 is divided by .08, the result is

40 divided by .08 = 500

(x+4)(x+4) =

Use the FOIL method (First, Outside, Inside, Last) to solve. X2 +4x +4x + 4x4

A woman has Z dollars to spend. After she spends $500, how much money does she have left?

You need to subtract the money that she spent ($500) from the original money that she had (Z).

A cube has a volume of 64 cubic feet. The surface area of the cube is?

A cube is made up of equal length sides (s). The volume of a cube is s x s x s. Therefore, s=4 in this case (4x4x4=64). A cube is made up of 6 squares, each with an area of s x s. Therefore, the surface area of a cube is 6 x s x s = 6 x 4 x 4 = 96

If 0.05z = 1, then z =

Divide both sides by 0.05. Therefore, z= 1/0.05=20

If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the office?

If 1/3 are on vacation, then 2/3 are not. Of those 2/3 not on vacation, 3/4 are NOT sick. Therefore 2/3 x 3/4 are in the office (not on vacation and not sick) = (2x3)/(3x4)=6/12=1/2

In a bag of candy, there are 4 Tootsie Rolls, 3 Lollipops, 5 Hershey Kisses and 6 Starbursts. If you select one piece of candy at random, what is the probability that it will be a lollipop?

There are 18 total pieces of candy and 3 lollipops. Therefore, the probability of picking one lollipop is 3/18 which simplifies to 1/6