A cube is a 3d object bounded by 6 square faces.

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)³

Volume = 27w³

6 0

3 years ago

4x^5 in verbal algebraic expression

disa [49]

Answer:

The product of 4 times the quantity x to the fifth power

6 0

3 years ago

The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is eac

Bess [88]

Answer:

45 and 72

Step-by-step explanation:

Let the ages be r and m

We have:

r + m = 117
5r = 9 + 3m

Substitute m in the second equation and solve for r:

m = 117 - r
5r = 9 + 3( 117 - r)
5r = 9 + 351 - 3r
5r + 3r = 360
8r = 360
r = 360/8
r = 45

Then m is

m = 117 - 45 = 72

3 0

3 years ago