QUESTION A
The total number of bottles Ella collected is
![50](https://tex.z-dn.net/?f=50)
The number of bottles that are plastic is
![19](https://tex.z-dn.net/?f=19)
The percentage of bottles that are plastic is
![= \frac{number \: of \: plastic \: bottles}{total \: number \: of \: bottes} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bnumber%20%5C%3A%20of%20%5C%3A%20plastic%20%5C%3A%20bottles%7D%7Btotal%20%5C%3A%20number%20%5C%3A%20of%20%5C%3A%20bottes%7D%20%20%5Ctimes%20100%5C%25)
![= \frac{19}{50} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B19%7D%7B50%7D%20%20%5Ctimes%20100%5C%25)
![= 19 \times 2\%](https://tex.z-dn.net/?f=%20%3D%2019%20%5Ctimes%202%5C%25)
![= 38\%](https://tex.z-dn.net/?f=%20%3D%2038%5C%25)
Therefore 38% of the bottles are plastic.
QUESTION B
The total number of bottles that are glass is
![50 - 19 = 31](https://tex.z-dn.net/?f=50%20-%2019%20%3D%2031)
The total number of bottles Ella collected is
![50](https://tex.z-dn.net/?f=50)
The percentage of bottles that is glass is
![= \frac{number \: of \: glass \: bottles}{total \: number \: of \: bottles} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bnumber%20%5C%3A%20of%20%5C%3A%20glass%20%5C%3A%20bottles%7D%7Btotal%20%5C%3A%20number%20%5C%3A%20of%20%5C%3A%20bottles%7D%20%20%5Ctimes%20100%5C%25)
![= \frac{31}{50} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B31%7D%7B50%7D%20%20%5Ctimes%20100%5C%25)
![= 31 \times 2\%](https://tex.z-dn.net/?f=%20%3D%2031%20%5Ctimes%202%5C%25)
![= 62\%](https://tex.z-dn.net/?f=%20%3D%2062%5C%25)
Therefore 62% of the bottles are glass
Answer: 1/2
Step-by-step explanation:
1) Put the equation into y=kx form
- add 4x to both sides
- divide by 8 on both sides to get y=1/2x
2) k is the constant of proportionality
If you mean you get them by diving them by 100 or something over 100(as in a fraction) that's the answer, I'm incredibly sorry if it is not what you meant!
Move all terms to one sides
3x^2 - 14x - 5 = 0
Split the second term in 3x^2 - 14x - 5 into two terms
3x^2 + x - 15x - 5 = 0
Factor out the common terms in the first two terms, then in the last two terms;
x(3x + 1) - 5(3x + 1) = 0
Factor out the common term 3x + 1
(3x + 1)(x - 5) = 0
Solve for x;
<u>x = -1/3, 5</u>