I believe it might’ve made 2,400 books, because if you divide 70 from 1680 you get 24, meaning it’s pressing about 24 books per hour, if it’s printing twice that you would multiply 48 by 50 and get 2,400.
Answer:
$7244
Step-by-step explanation:
Step one:
Given data
Columbia Mirror and Glass pays Frank Griffin $2570 monthly salary plus a 6% commission.
If sales is $77,900
Required
Frank's take home
Step two
let us find the expression used to determine Frank's take-home pay
let the total be y
y= 2570+ 6/100*77900
y=2570+0.06*77900
y=2570+4674
y=$7244
Answer:
She estimates that the tripled recipe will need
✔ less than 3
cups of chicken broth.
The exact amount of chicken broth needed is
✔ 9/4
cups.
Step-by-step explanation:
Answer:
least to greatest : -54 , -3/9 , 9/5 , 6.6 , 75,
Answer:
Water level in the reservoir is falling at the rate of 0.398 ft per minute.
Step-by-step explanation:
From the figure attached,
Water level in the reservoir has been given as 10 feet and radius of the reservoir is 4 feet.
Let the level of water in the reservoir after time t is h where radius of the water level becomes r.
ΔABE and ΔCDE are similar.
Therefore, their corresponding sides will be in the same ratio.
![\frac{r}{h}=\frac{4}{10}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bh%7D%3D%5Cfrac%7B4%7D%7B10%7D)
--------(1)
Now volume of the water V = ![\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
From equation (1),
V = ![\frac{1}{3}\pi (\frac{2}{5}h)^{2} h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%28%5Cfrac%7B2%7D%7B5%7Dh%29%5E%7B2%7D%20h)
V = ![\frac{4\pi h^{2}\times h}{75}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20h%5E%7B2%7D%5Ctimes%20h%7D%7B75%7D)
![\frac{dV}{dt}=\frac{4\pi }{75}\times \frac{d}{dt}(h^{3})](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B4%5Cpi%20%7D%7B75%7D%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%28h%5E%7B3%7D%29)
![\frac{dV}{dt}=\frac{4\pi }{75}\times (3h^{2})\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B4%5Cpi%20%7D%7B75%7D%5Ctimes%20%283h%5E%7B2%7D%29%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dV}{dt}=\frac{12\pi h^{2}}{75}\times \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B12%5Cpi%20h%5E%7B2%7D%7D%7B75%7D%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
Since
feet³ per minute and h = 5 feet
![5=\frac{12\pi (5)^{2}}{75}\times \frac{dh}{dt}](https://tex.z-dn.net/?f=5%3D%5Cfrac%7B12%5Cpi%20%285%29%5E%7B2%7D%7D%7B75%7D%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![5=4\pi \frac{dh}{dt}](https://tex.z-dn.net/?f=5%3D4%5Cpi%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dh}{dt}=\frac{5}{4\pi}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B5%7D%7B4%5Cpi%7D)
feet per minute
Therefore, water level in the reservoir is falling at the rate of 0.398 feet per minute.