180 + 30x = 60 + 50x
⇒ 20x = 120
⇒ x = 6 minutes
<span>it will take 6 minutes for Millie to catch up with Ben</span>
Answer:
7 pizzas
Step-by-step explanation:
18 people × 3 slices each = 54 slices
54 ÷ 8 = 6.75
7 pizzas
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Hello, Here is a link to the answer. I am posting this link because it is a Brainly link and a verified answer
brainly.com/question/219158
Answer:
Step-by-step explanation:
Let x represent height of the prism.
We know that volume of rectangular is equal to product of its height, width and length.
, where w, h and l represents width, length and height respectively.
We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:
We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:
Let us solve for x.
Therefore, the value of x is 7.2 inches.