Answer:
60
Step-by-step explanation:
12=2⋅2⋅3
15=3⋅5
We see that they both share 3 is their LCM.
We divide each number by their LCM.
123⇒4
153⇒5
We multiply these two quotients and the LCM to get our final answer:
3⋅4⋅5=60
That is our answer!
Hope this helped! :)
Answer:
meters per minute
Step-by-step explanation:
<u>Given:</u>
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![r=5](https://tex.z-dn.net/?f=r%3D5)
![\frac{dV}{dt}=3](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D3)
![\frac{dh}{dt}=?](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%3F)
<u>Substitute r=5:</u>
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![V=\pi(5)^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%285%29%5E2h)
![V=25\pi h](https://tex.z-dn.net/?f=V%3D25%5Cpi%20h)
<u>Differentiate both sides:</u>
![\frac{d}{dt}V=\frac{d}{dt}(25\pi h)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7DV%3D%5Cfrac%7Bd%7D%7Bdt%7D%2825%5Cpi%20h%29)
![\frac{dV}{dt}=25\pi\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D25%5Cpi%5Cfrac%7Bdh%7D%7Bdt%7D)
<u>Solve for dh/dt:</u>
![3=25\pi\frac{dh}{dt}](https://tex.z-dn.net/?f=3%3D25%5Cpi%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{3}{25\pi}=\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B25%5Cpi%7D%3D%5Cfrac%7Bdh%7D%7Bdt%7D)
Therefore, the height of the water is increasing at a rate of
meters per minute.
Answer:
y=1343
Step-by-step explanation:
when you plug in 21 for x the equation would be 3(21)^2+20 solve using the order of operations and you get 1343
Answer:
80
Step-by-step explanation:
180=(50+50)+x
180 = 100+x
x=80
358$!! I divided 584$ by 2 and added 66$ to 292 and subtracted 66 to the other. 358$ dryer 226$ washer