<span>Sphere Volume = </span><span> <span> <span>( <span>π <span>• d³) / 6
Sphere Volume = (3.14159265 * 22^3 / 6)
</span></span></span></span></span>
Sphere Volume =
<span>
<span>
<span>
5,575.2797
</span></span></span>It seems they used PI = 3.14 because then the answer is:
<span>
<span>
<span>
5,572.45
</span></span></span>
Answer:
The total cost to install the 1,200 ft of the pipe is $21000.
Step-by-step explanation:
Consider the provided information.
You buy 900 ft pipe with a cost of $15 per foot and the remaining 300 ft pipe with a cost of $25 per foot.
Therefore, the total cost is:
![900 \times 15+300 \times 25](https://tex.z-dn.net/?f=900%20%5Ctimes%2015%2B300%20%5Ctimes%2025)
![13500+7500](https://tex.z-dn.net/?f=13500%2B7500)
![13500+7500](https://tex.z-dn.net/?f=13500%2B7500)
![21000](https://tex.z-dn.net/?f=21000)
Hence, the total cost to install the 1,200 ft of the pipe is $21000.
Answer:
1.827 x 10^-23
Step-by-step explanation:
(1.994 x 10^-23) - (1.67 x 10^-24) = 1.827 x 10^-23
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
![0.5A+0.25B=15](https://tex.z-dn.net/?f=0.5A%2B0.25B%3D15)
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
![0.5A+0.75B=20](https://tex.z-dn.net/?f=0.5A%2B0.75B%3D20)
Solving the linear system:
![0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds](https://tex.z-dn.net/?f=0.5A%2B0.25B%3D15%5C%5C0.5A%2B0.75B%3D20%5C%5C0.5B%3D5%5C%5CB%3D10%5C%20pounds%5C%5C0.5A%3D15-0.25%2A10%5C%5CA%3D25%5C%20pounds)
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B