Answer: y=x+1
Step-by-step explanation: m = (y2 - y1)/(x2 - x1)
m = (9 - 5)/(8 - 4)
m = 4/4
m = 1
y - y1 = m(x - x1)
y - 5 = 1*(x - 4)
y - 5 = x - 4
y = x + 1
<span>x is the total number of liters of orange juice and water combined. 80% of the mixture is pure orange juice which means 20% of it is water. Therefore, x 20/100 = 1 is the equation in single variable that can be used to find x. and 20/100 is 1/5 so there are 5 total liters in all and 5-1 is 4, so there are 4 liters of orange juice in the can. Hope this helps :)</span>
Answer: He planted 670 acres of corn.
Step-by-step explanation:
Let x be the number of acres of corn and y be the number of acres wheat Farmer planted.
According to the given information, we have the following system of equations:
![x+y=1180--------------(1)\\\\ 270x+135y=249750-----------------(1)](https://tex.z-dn.net/?f=x%2By%3D1180--------------%281%29%5C%5C%5C%5C%20270x%2B135y%3D249750-----------------%281%29)
Divide equation (2) by 135 , we get
![2x+y=1850---------------(3)](https://tex.z-dn.net/?f=2x%2By%3D1850---------------%283%29)
Subtract eqn (1) from (3), we get
![x=670](https://tex.z-dn.net/?f=x%3D670)
Put value of x in (1), we get
![670+y=1180\\\\ y=1180-670=510](https://tex.z-dn.net/?f=670%2By%3D1180%5C%5C%5C%5C%20y%3D1180-670%3D510)
Hence, he planted 670 acres of corn.
Q1. The answer is 53.33
<span>The initial </span>number is 100%. So, make a proportion:
If 8 is 15%, what number is 100%?
8 : 15% = x : 100%
15% * x = 8 * 100%
x = 8 * 100% / 15% = 53.33
Q2. The answer is 2.8425
The initial number 18.95 and it is 100%. How much is its 15%? Make a proportion:
If 18.95 is 100%, what number is 15% of it?
18.95 : 100% = x : 15%
x * 100% = 18.95 * 15%
x = 18.95 * 15% / 100% = 2.8425
Q3. The answer is 509.375%
The initial number is 64 and it is 100%. So, what percent is 326? Make a proportion:
If 64 is 100%, 326 is what percent?
64 : 100% = 326 : x
x * 64 = 326 * 100%
x = 326 * 100% / 64 = 509.375%
Q4. The answer is 400.
The initial number is 100%. Make a proportion:
If 40 is 10%, what number is 100%?
40 : 10% = x : 100%
x * 10% = 40 * 100%
x = 40 * 100% / 10%
x = 400