If A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4. How many 1/4 unit cubes does it take to fill the prism?

It'll take 128 cubes to fill the prism.

Step-by-step explanation:

In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:

volume = length³

So the cubes have the following volume:

volume = (1/4)³ = 1/64

Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:

number of cubes = (volume of prism)/(volume of cubes)

number of cubes = 2/(1/64)

number of cubes = 2*(64/1)

number of cubes = 128

It'll take 128 cubes to fill the prism.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2