Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
![-r-3>-6\\-r+3](https://tex.z-dn.net/?f=-r-3%3E-6%5C%5C-r%2B3%3C6%5C%5Cr%2B3%3C6%5C%5C-r%2B3%3E6)
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
6n - 13 = 27
6n = 27 + 13
6n = 40
n = 40/6
n = 6 2/3
Answer: n = 6 2/3
Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone = ![\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
Here r = radius of the circular base
h = height of the cone
Volume = ![\frac{1}{3}\pi (4)^{2}(14)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%284%29%5E%7B2%7D%2814%29)
=
cubic inch
Volume of the cylinder = ![\pi r^{2}h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7Dh)
Here r = radius of the base
h = height of the cylinder
Volume = ![\pi (4)^{2}(16)](https://tex.z-dn.net/?f=%5Cpi%20%284%29%5E%7B2%7D%2816%29)
= 256π cubic inches
Volume of the rocket = ![\frac{224\pi }{3}+256\pi](https://tex.z-dn.net/?f=%5Cfrac%7B224%5Cpi%20%7D%7B3%7D%2B256%5Cpi)
= ![\frac{992\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B992%5Cpi%20%7D%7B3%7D)
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
=
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.
Answer: The other player scored 10 points.
Step-by-step explanation:
Since we have given that
Number of players = 4
Number of scores each player score = 6
Total scores scored by 4 players would be
![4\times 6\\\\=24](https://tex.z-dn.net/?f=4%5Ctimes%206%5C%5C%5C%5C%3D24)
Total scores scored by a team = 34 points
So, the number of points scored by other player score is given by
![34-24=10\ points](https://tex.z-dn.net/?f=34-24%3D10%5C%20points)
Hence, the other player scored 10 points.
Well, think about it
1/4 of the 20 oz bottle is 5 ounces
So you gave 5 ounces to a friend
Then, you took 3 ounces for yourself
So 5 ounces+ 3 ounces= 8 ounces
You used 8 ounces
So 20-8=12
The fraction would be 12/20
And if you simliply it, you get 3/5
You have 3/5 oz of juice or soda left on that bottle