Answer:
Part a) 119 cups
Part b) 30 cups
Step-by-step explanation:
Part a)
step 1
Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in
The volume of the cone (cup) is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
----> the radius is half the diameter
![h=8\ in](https://tex.z-dn.net/?f=h%3D8%5C%20in)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%282%5E%7B2%7D%298%3D33.49%5C%20in%5E3)
step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so
![\frac{4,000}{33.49}= 119\ cups](https://tex.z-dn.net/?f=%5Cfrac%7B4%2C000%7D%7B33.49%7D%3D%20119%5C%20cups)
Part b)
step 1
Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in
The volume of the cone (cup) is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
----> the radius is half the diameter
![h=8\ in](https://tex.z-dn.net/?f=h%3D8%5C%20in)
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%5E%7B2%7D%298%3D133.97%5C%20in%5E3)
step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so
![\frac{4,000}{133.97}= 30\ cups](https://tex.z-dn.net/?f=%5Cfrac%7B4%2C000%7D%7B133.97%7D%3D%2030%5C%20cups)
The square numbers of 45?
I don't really know what you mean by that but if you're looking for the square numbers before 45, they are as follows:
1
2
4
9
16
25
36
Hope this helps :)
7x + 6 < 3(x - 2)
7x + 6 < 3x - 6
7x - 3x < -6 - 6
4x < -12
x < -12/4
x < -3
<span>{x | x < -3}</span>
Answer:
224 pages
Step-by-step explanation:
The book has pages that are 5.5in x 6.5 in (which holds 300 words)
There are a total of 67,062 words
Equation:
67,062 / 300 = total number of pages
67,062 = 223.54
That means 224 pages, because the last page is partially filled.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:2.4
Step-by-step explanation:
12 * 20% = 12 * 0.20 = 2.4 hours
It will not last the entire shift.