Answer:
Step-by-step explanation:
The volume of a sphere is
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
We are told our volume is 500pi/3, so we fill that in and solve for r:
![\frac{500\pi}{3}=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B500%5Cpi%7D%7B3%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Start by multiplying both sides by 3 over 4 pi:
![(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%5Cpi%7D%29%5Cfrac%7B500%5Cpi%7D%7B3%7D%3D%28%5Cfrac%7B3%7D%7B4%5Cpi%7D%29%5Cfrac%7B4%5Cpi%7D%7B3%7Dr%5E3)
Simplifying gives us
![125=r^3](https://tex.z-dn.net/?f=125%3Dr%5E3)
Take the cubed root of both sides to get that
r = 5
Answer:
12
Step-by-step explanation:
The median is the one in the middle. For an <u>odd</u> number of seats, average the first and last seat numbers.
(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.
For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!
Well, 1/2 is equal to 5/10... so 7/10 - 5/10 is 2/10 because 7-5=2 :)
Answer:Gary-18 years brother-10 years
Step-by-step explanation:1st case: brother=1 yrs,gary=3 yrs=>after 6 after: brother =7 yrs gary=9 years
2nd case:......
3rd case:.....
4th case:brother:4 years gary:12 yrs=>after 6 yrs:brother=10 yrs gary=18 yrs=>18-10=8
Answer:
Audrey was charged $3 for each withdrawal.
Step-by-step explanation:
We have to calculate the amount of money charged on one transaction.
In order to find the amount for one ATM withdrawal, the total amount for ATM withdrawals will be divided by number of withdrawals.
Given
![Total\ ATM\ withdrawal\ fees = \$51\\Total\ withdrawals = 17\\Amount\ for\ one\ withdrawal = \frac{Total\ fees}{No.\ of\ withdrawals}\\= \frac{51}{17}\\= \$3](https://tex.z-dn.net/?f=Total%5C%20ATM%5C%20withdrawal%5C%20fees%20%3D%20%5C%2451%5C%5CTotal%5C%20withdrawals%20%3D%2017%5C%5CAmount%5C%20for%5C%20one%5C%20withdrawal%20%3D%20%5Cfrac%7BTotal%5C%20fees%7D%7BNo.%5C%20of%5C%20withdrawals%7D%5C%5C%3D%20%5Cfrac%7B51%7D%7B17%7D%5C%5C%3D%20%5C%243)
Hence,
Audrey was charged $3 for each withdrawal.