Answer:
We combine x ounces of 100% juice
with 40-x of 10% juice
to get 40 ounces of 55% juice
x + 0.1(40-x) = .55(40)
x + 4 - 0.1x = 22
0.9x + 4 = 22
.09x = 18
x = 20 ounces of 100% juice
40-x = 20 ounces of 10% juice
We combine 20 ounces of each.
Step-by-step explanation:
Great
= ^-^
Meow meow chicken
Answer:
y = -5/3 x + 40
Step-by-step explanation:
The general form is y = ax + b, where a is the slope and b is the y intercept.
So immediately you can see that b must be 40, since the line crosses the y axis at 40.
The slope can be calculated by finding two "nice" points on the line that are also grid lines.
How about (0,40) and (6, 30).
Then, calculate the slope by dividing the y difference by the x difference:
(30-40)/(6-0) = -10/6 = -5/3
So C must be the answer.
Answer:
Step-by-step explanation:
![(\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35](https://tex.z-dn.net/?f=%28%5Csqrt%7Bz%7D%20%2B%5Csqrt%7B22%7D%29%28%5Csqrt%7Bz%7D%20-%5Csqrt%7B22%7D%29%3D35)
Subtract both sides from 35
![(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35](https://tex.z-dn.net/?f=%28%5Csqrt%7Bz%7D%2B%5Csqrt%7B22%7D%20%28%5Csqrt%7Bz%7D%20-%5Csqrt%7B22%7D%29-35%3D35-35)
Simplify:
![(\sqrt{z})^{2} -57=0](https://tex.z-dn.net/?f=%28%5Csqrt%7Bz%7D%29%5E%7B2%7D%20-57%3D0)
Factor
=0
![\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0](https://tex.z-dn.net/?f=%5Csqrt%7Bz%7D%20%2B%5Csqrt%7B57%7D%3D0%20%20%20%20or%20%20%20%20%5Csqrt%7Bz%7D%20%20-%5Csqrt%7B57%7D%3D0)
![\sqrt{z} +\sqrt{57} =0: No Solution for Z](https://tex.z-dn.net/?f=%5Csqrt%7Bz%7D%20%2B%5Csqrt%7B57%7D%20%3D0%3A%20No%20Solution%20for%20Z)
![\sqrt{z} -\sqrt{57} =0: z=57](https://tex.z-dn.net/?f=%5Csqrt%7Bz%7D%20-%5Csqrt%7B57%7D%20%3D0%3A%20z%3D57)
Your answer will be z=57
and No solution
Answer:
B
Step-by-step explanation:
both sides are equal to begin with so any x that you put in, will get multiplied by 7 and have 3 added to it