Answer:
972pi in ^3
Step-by-step explanation:
We need to find the volume of the sphere
V = 4/3 pi r^3
The diameter is 18
r = d/2 = 18/2 = 9
V = 4/3 pi ( 9)^3
V = 972pi in ^3
Answer:
4; 7
Step-by-step explanation:
Small box = 25 and Large box = 50
small box = x and large box = x+3
25x+50(x+3)=450
25x+50x+150=450
75x=300
x=4
Large box = 4+3 = 7
Therefore, 4; 7
I hope this helped and have a good rest of your day!
Answer:
The answer is: $471
Step-by-step explanation:
Set up two ratios and cross multiply:
8 / 100 = 37.68 / x
8x = 37.68 * 100
8x = 3768
x = 3768 / 8 = $471.00
Proof:
$471 * .08 = $37.68
When you're looking to simplify a fraction, the best thing to do is to find a common factor between the two numbers.
In this case, 10 is a common factor, so therefore, divide both sides by 10.
30/10= 3
40/10= 4
Therefore, the fraction in its simplest form is 3/4
Hope this helps
Answer:
3x+24 more widgets
Step-by-step explanation:
A company owns two manufacturing plants:
- 1st plant: 8x+17 widgets;
- 2nd plant: 5x-7 widgets.
To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,
![(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24](https://tex.z-dn.net/?f=%288x%2B17%29-%285x-7%29%5C%5C%20%5C%5C%3D8x%2B17-5x%2B7%5C%20%5B%5Ctext%7BEliminate%20brackets%7D%5D%5C%5C%20%5C%5C%3D%288x-5x%29%2B%2817%2B7%29%5C%20%5B%5Ctext%7BCombine%20the%20like%20terms%7D%5D%5C%5C%20%5C%5C%3D3x%2B24)
