Answer:
x = 32
Step-by-step explanation:
If x and y vary inversely, then xy = k where k is the constant of proportion
4(8) = 32 = k
Now, xy = 32
1(x) = 32
x = 32
Answer:
He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.
Step-by-step explanation:
A third of 6 is 2 and half of six is 3.
True
True
False since it would be 16.28
Answer:
The answer is $16.45
Step-by-step explanation:First, you have to multiply $0.95 x 9 = $8.55
Then, you have to subtract $25.00-$8.55 = $16.45
Please mark this brainliest and I will be glad to help anytime
Option C:
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is 
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,

Let us break the expression
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out
, we get,

Hence, the possible expressions for length, width and height of the prism is 
Therefore, Option C is the correct answer.