Answer:
let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.
Step-by-step explanation:
Answer:
where are the options
Step-by-step explanation:
Answer: z=83/c - 7 + t
Step-by-step explanation:
Answer:
![D. (3,-1)](https://tex.z-dn.net/?f=D.%20%283%2C-1%29)
Step-by-step explanation:
![x + y = 2 \: \: \: \: \: \: ..(1) \\ 2x - y = 7 \: \: \: \: ..(2)](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%202%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20..%281%29%20%5C%5C%20%3C%2Fp%3E%3Cp%3E2x%20-%20y%20%3D%207%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20..%282%29)
from equation 1 we get,
![x = 2 - y](https://tex.z-dn.net/?f=x%20%3D%202%20-%20y)
now,
![put \: \: \: \: x = 2 - y \: \: \: in \: (2)](https://tex.z-dn.net/?f=put%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%202%20-%20y%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20in%20%5C%3A%20%282%29)
we get,
![2(2 - y) - y = 7 \\ 4 - 2y - y = 7 \\ 4 - 3y = 7 \\ - 3y = 7 - 4 \\ - 3y = 3 \\ \\ y = \frac{3}{( - 3)} \\ \\ y = - 1](https://tex.z-dn.net/?f=2%282%20-%20y%29%20-%20y%20%3D%207%20%5C%5C%204%20-%202y%20-%20y%20%3D%207%20%5C%5C%204%20-%203y%20%3D%207%20%5C%5C%20%20-%203y%20%3D%207%20-%204%20%5C%5C%20%20-%203y%20%3D%203%20%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B3%7D%7B%28%20-%203%29%7D%20%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20-%201)
now,
![put \: \: \: \: y = - 1 \: \: \: \: in \: (1)](https://tex.z-dn.net/?f=put%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20y%20%3D%20%20-%201%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20in%20%5C%3A%20%281%29)
we get,
![x + ( - 1) = 2 \\ x - 1 = 2 \\ x = 2 + 1 \\ x = 3](https://tex.z-dn.net/?f=x%20%2B%20%28%20-%201%29%20%3D%202%20%5C%5C%20x%20-%201%20%3D%202%20%5C%5C%20x%20%3D%202%20%20%2B%201%20%5C%5C%20x%20%3D%203)
hence, the value of x = 3 and y = (-1)
Fraction leftover = 1/2
George gave (1/2) of the leftover to Olivia:
= 1/2 * 1/2
= 1/4
Fraction George gave to Olivia = 1/4