Answer:
520 out of 800 students ride the bus
Step-by-step explanation:
Given
![Proportion = 65\%](https://tex.z-dn.net/?f=Proportion%20%3D%2065%5C%25)
![Students = 800](https://tex.z-dn.net/?f=Students%20%3D%20800)
Required
Determine the number of students ![that\ ride\ the\ bus](https://tex.z-dn.net/?f=that%5C%20ride%5C%20the%5C%20bus)
To do this, we simply multiply the proportion by the total number of students.
i.e.
![Bus = Proportion * Students](https://tex.z-dn.net/?f=Bus%20%3D%20Proportion%20%2A%20Students)
![Bus = 65\% * 800](https://tex.z-dn.net/?f=Bus%20%3D%2065%5C%25%20%2A%20800)
Express the percentage as decimal
![Bus = 0.65* 800](https://tex.z-dn.net/?f=Bus%20%3D%200.65%2A%20800)
![Bus = 520](https://tex.z-dn.net/?f=Bus%20%3D%20520)
<em />
Answer:
m = - 3
Step-by-step explanation:
![\frac{m}{3} - \frac{2m}{5} = \frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7B3%7D%20-%20%5Cfrac%7B2m%7D%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
It is much easier to work with whole numbers, compared to fractions, hence one should remove the denominator of the fraction. This can be done by multiplying by the LCM (least common multiple). In this case, it is fairly obvious that the LCM of 3 and 5 is 15. Therefore multiply the entire equation by 15.
![15*\frac{m}{3} - 15*\frac{2m}{5}=15*\frac{1}{5}](https://tex.z-dn.net/?f=15%2A%5Cfrac%7Bm%7D%7B3%7D%20-%2015%2A%5Cfrac%7B2m%7D%7B5%7D%3D15%2A%5Cfrac%7B1%7D%7B5%7D)
Simplify
![5m-6m=3](https://tex.z-dn.net/?f=5m-6m%3D3)
![-m=3\\m=-3](https://tex.z-dn.net/?f=-m%3D3%5C%5Cm%3D-3)
Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3.
The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times.
So subtract 2 from -2 to get -4.
The x-value is -4.
The answer for the y-value is given earlier:
the original point of (-2,5).
The y-value is 5.
Hope this helps!
Answer:
(1, 6) and (1, -4)
Step-by-step explanation:
Answer:
If there in piles of 2 you have 2 piles
Step-by-step explanation: