L E T M E S O L V E
x+3y=21
12+3y=21
3y=9
/3 /3
y=3
T H E R E Y O U G O
Answer:
Earth's gravity pulls matter downward, toward its center. It pulls precipitation down from clouds and pulls water downhill.
Step-by-step explanation:
Answer:
112 candies
Step-by-step explanation:
Start from the end.
Joe gave 25% of the remaining candies to his sister and has 21 candies left. Then
![21 \ candies - 75\%\\ \\x \ candies - 25\%](https://tex.z-dn.net/?f=21%20%5C%20candies%20-%2075%5C%25%5C%5C%20%5C%5Cx%20%5C%20candies%20-%2025%5C%25)
Write a proportion:
![\dfrac{21}{x}=\dfrac{75}{25}\\ \\75x=21\cdot 25\\ \\x=\dfrac{21}{3}=7](https://tex.z-dn.net/?f=%5Cdfrac%7B21%7D%7Bx%7D%3D%5Cdfrac%7B75%7D%7B25%7D%5C%5C%20%5C%5C75x%3D21%5Ccdot%2025%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B21%7D%7B3%7D%3D7)
Joe gave 7 candies to his sister, so before this he had 21 + 7 = 28 candies.
He gave 4/6 of what he had left to his brother when he went home, so 2/6 of all his candies left ot him. Hence,
![28\ candies - \dfrac{2}{6}\\ \\x\ candies - \dfrac{4}{6}](https://tex.z-dn.net/?f=28%5C%20candies%20-%20%5Cdfrac%7B2%7D%7B6%7D%5C%5C%20%5C%5Cx%5C%20candies%20-%20%5Cdfrac%7B4%7D%7B6%7D)
Write a proportion:
![\dfrac{28}{x}=\dfrac{\frac{2}{6}}{\frac{4}{6}}\\ \\\dfrac{28}{x}=\dfrac{1}{2}\\ \\x=28\cdot 2=56](https://tex.z-dn.net/?f=%5Cdfrac%7B28%7D%7Bx%7D%3D%5Cdfrac%7B%5Cfrac%7B2%7D%7B6%7D%7D%7B%5Cfrac%7B4%7D%7B6%7D%7D%5C%5C%20%5C%5C%5Cdfrac%7B28%7D%7Bx%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5Cx%3D28%5Ccdot%202%3D56)
Joe gave 56 candies to his brother, so Joe had 28 + 56 = 84 candies when he went home.
Joe gave 1/4 of his total candies to his classmates, so 3/4 of his candies left to him. So,
![x\ candies - \dfrac{1}{4}\\ \\84\ candies - \dfrac{3}{4}](https://tex.z-dn.net/?f=x%5C%20candies%20-%20%5Cdfrac%7B1%7D%7B4%7D%5C%5C%20%5C%5C84%5C%20candies%20-%20%5Cdfrac%7B3%7D%7B4%7D)
Write a proportion:
![\dfrac{x}{84}=\dfrac{\frac{1}{4}}{\frac{3}{4}}\\ \\\dfrac{x}{84}=\dfrac{1}{3}\\ \\3x=84\\ \\x=28](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B84%7D%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B4%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%20%5C%5C%5Cdfrac%7Bx%7D%7B84%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5C%5C%20%5C%5C3x%3D84%5C%5C%20%5C%5Cx%3D28)
Therefore, initially, Joe had 28 + 84 = 112 candies.
8:28 pm because u have to find an even number that is divisible by 4, 2 and 3.5 and 28 is divisible by all of them so u add it to the 8:00 and u gat 8;24
The answer is choice B. A function is a relation where each input maps to only one output. Therefore, if you had an input that mapped to more than one output, it wouldn’t be a function. However, multiple inputs can have the same output, as we see in the diagram.
Hope this helps!