Answer: (A) If the number of cups of cereal is 40, then the number of cups of raisins will be 10.
Step-by-step explanation:
From the given table , we can check the given quantities are in proportion .
Since , ![\frac{x}{y}=\frac{8}{2}=\frac{12}{3}=\frac{16}{4}=4\\\Rightarrow\ x=4y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B8%7D%7B2%7D%3D%5Cfrac%7B12%7D%7B3%7D%3D%5Cfrac%7B16%7D%7B4%7D%3D4%5C%5C%5CRightarrow%5C%20x%3D4y)
So this case is of direct proportion, where the number of cereal cups is 4 times the cups of raisins.
It is said that A point is plotted on the ordered pair 40,20.
But ![\frac{40}{20}=2\neq4](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B20%7D%3D2%5Cneq4)
Hence, Molly is incorrect.
Since , ![x=4y\\\Rightarrow\ y=\frac{x}{4}=\frac{40}{4}=10](https://tex.z-dn.net/?f=x%3D4y%5C%5C%5CRightarrow%5C%20y%3D%5Cfrac%7Bx%7D%7B4%7D%3D%5Cfrac%7B40%7D%7B4%7D%3D10)
Because, if the number of cereals is 40, then the number of raisins should be 10 such that,
![\frac{40}{10}=4](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B10%7D%3D4)
Answet
that's it well then they include numbers like whole numbers fractions and some decimal points
So there are 12 spaces right. In first blank u have a choice to fill any of the alphabet .(first twelve alphabets) <span>and it goes down to just 1 letter in the last space. but do i just multiply them.
hope dis helps</span>
<span>8x-9y=11
-9y=-8x+11
9y=8x-11
y=8/9x-11/9
sorry, thats as simplified as it can get with 2 variables in the equation
</span>
Answer:
$7,000
Step-by-step explanation:
Let
equal the original price.
![12,000+2000=2x](https://tex.z-dn.net/?f=12%2C000%2B2000%3D2x)
Combine like terms.
![14,000=2x](https://tex.z-dn.net/?f=14%2C000%3D2x)
Divide by the coefficient of
, which in this case is ![2.](https://tex.z-dn.net/?f=2.)
![7,000=x](https://tex.z-dn.net/?f=7%2C000%3Dx)
If you like the variable on the left, rewrite:
![x=7,000](https://tex.z-dn.net/?f=x%3D7%2C000)