It's a repeating decimal.
10x - 4y = 5 (if it requires shorten)
Step-by-step explanation:
x + y/5 - 1 = y - x
<=> (5x + y - 1.5)/5 = 5(y - x)/5
<=> 5x + y - 5 = 5y - 5x
<=> 5x + 5x + y - 5y = 5
<=> 10x - 4y = 5
(3, - 2)
given y = - 2, then
- 2x + 4 = - 2 ( solve for x )
subtract 4 from both sides
- 2x = - 6 ( divide both sides by - 2 )
x =
= 3
The volume of a cone uses the following formula:
![V = \pi r^{2} \frac{h}{3}](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cpi%20r%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D%20)
Our diameter is 20 feet, so divide this by 2 to find the radius:
![20 \div 2 = 10](https://tex.z-dn.net/?f=20%20%5Cdiv%202%20%3D%2010)
We now have all of our values need to fill in the formula. Plug in these values:
![\pi = 3.14, r = 10, h = 17](https://tex.z-dn.net/?f=%20%5Cpi%20%3D%203.14%2C%20r%20%3D%2010%2C%20h%20%3D%2017)
![3.14 * 10^{2} * \frac{17}{3}](https://tex.z-dn.net/?f=3.14%20%2A%2010%5E%7B2%7D%20%2A%20%20%5Cfrac%7B17%7D%7B3%7D%20)
![3.14 * 100 * 5.67](https://tex.z-dn.net/?f=3.14%20%2A%20100%20%2A%205.67)
![314 * 5.67 = 1780.38](https://tex.z-dn.net/?f=314%20%2A%205.67%20%3D%201780.38)
The volume of the cone is
1780 cubic feet.
Answer:
![x=12 groups](https://tex.z-dn.net/?f=x%3D12%20groups)
This will give 5 Students each in 12 different equally sized groups
![x'=5groups](https://tex.z-dn.net/?f=x%27%3D5groups)
This also shows that students can grouped in equal groups of 12 in 5 places
Step-by-step explanation:
From the question we are told that
60 children in equal sized groups
Generally interpreting
can be mathematically represented as
a)
![x=\frac{60}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B60%7D%7B5%7D)
![x=12 groups](https://tex.z-dn.net/?f=x%3D12%20groups)
This will give 5 Students each in 12 different equally sized groups
b)
![x'=\frac{60}{12}](https://tex.z-dn.net/?f=x%27%3D%5Cfrac%7B60%7D%7B12%7D)
![x'=5groups](https://tex.z-dn.net/?f=x%27%3D5groups)
This also shows that students can grouped in equal groups of 12 in 5 places