Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
Answer:
9x−c
= 9x + − c
=−c+9x
Step-by-step explanation:
Answer:
5 ( x-2)
Step-by-step explanation:
start by the "five times"- this is multiplication
"difference of x and 2" shows subtraction, put both together and you get 5 (x-2)
Hopefully this helps, let me know if you have any other questions!
Answer:
The partial fraction decomposition is
.
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of
:
First, the form of the partial fraction decomposition is

Write the right-hand side as a single fraction:

The denominators are equal, so we require the equality of the numerators:

Expand the right-hand side:

The coefficients near the like terms should be equal, so the following system is obtained:

Solving this system, we get that
.
Therefore,

Answer:
Step-by-step explanation:
The maximum volume the shipping container can have is 10 cubic yards.
The volume of a rectangular prism is given as:
V = L * W * H
where L is length, W is width and H is height.
To find the maximum height of the container, make H the subject of formula:

We have been given the length and width of the container as 2 1/2 yards and 3 1/2 yards respectively.
Hence, the maximum height is:


The maximum height of the container is
.