9514 1404 393
Answer:
a = any positive multiple of 3
Step-by-step explanation:
You want ...
(5 1/3)/(4/a) = whole number
(16/3)·(a/4) = whole number
(4a/3) = whole number
This will be the case for a = 3n, for any positive integer n.
Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624
For baseballs of 9 inches:
![9=2\pi r \\ \\ r= \frac{9}{2\pi}](https://tex.z-dn.net/?f=9%3D2%5Cpi%20r%20%5C%5C%20%20%5C%5C%20r%3D%20%5Cfrac%7B9%7D%7B2%5Cpi%7D)
Volume =
![\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Cleft%28%20%5Cfrac%7B9%7D%7B2%5Cpi%7D%20%5Cright%29%5E3%3D12.31)
Number of 9 inches baseballs =
![\frac{3,071,630.624}{12.31} = 249,513](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2C071%2C630.624%7D%7B12.31%7D%20%3D%20249%2C513)
For baseballs of 9.25 inches:
![9.25=2\pi r \\ \\ r= \frac{9.25}{2\pi}](https://tex.z-dn.net/?f=9.25%3D2%5Cpi%20r%20%5C%5C%20%20%5C%5C%20r%3D%20%5Cfrac%7B9.25%7D%7B2%5Cpi%7D)
Volume =
![\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Cleft%28%20%5Cfrac%7B9.25%7D%7B2%5Cpi%7D%20%5Cright%29%5E3%3D13.37)
Number of 9.25 inches baseballs =
![\frac{3,071,630.624}{13.36} = 229,824](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2C071%2C630.624%7D%7B13.36%7D%20%3D%20229%2C824)
Therefore, the tractor can contain between 229,824 and 249,513 baseballs.
Answer:
2+2 is 22 ahahahhahaha just kidding
You would multiply 32,000 x 0.05 = 1,600 so
1,600 x 4 = 6,400
So the population would grow by 6,400 every 4 years.
Answer:
It has to be 4-7
Step-by-step explanation: