223
-119
104
In stead of doing 3-9 and 2-1 do 23-19 then 2-1
The price of one bag of popcorn is $3.75
Step-by-step explanation:
Let,
x represent the cost of a bag of popcorn
y represent the cost of a drink.
According to given statement;
4x+12y=30 Eqn 1
x+6y=11.25 Eqn 2
Multplying Eqn 2 by 2
![2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=2%28x%2B6y%3D11.25%29%5C%5C2x%2B12y%3D22.50%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 1
![(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50](https://tex.z-dn.net/?f=%284x%2B12y%29-%282x%2B12y%29%3D30-22.50%5C%5C4x%2B12y-2x-12y%3D7.50%5C%5C2x%3D7.50)
Dividing both sides by 2
![\frac{2x}{2}=\frac{7.50}{2}\\x=3.75](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B7.50%7D%7B2%7D%5C%5Cx%3D3.75)
4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.
The price of one bag of popcorn is $3.75
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
1) Find the graph of a line passing through (-1, 4) and (2, 0).
The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:
![\frac{4-0}{-1-2} =\frac{4}{-3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4-0%7D%7B-1-2%7D%20%3D%5Cfrac%7B4%7D%7B-3%7D%20%20)
The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:
![y=\frac{-4}{3} x+b](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B-4%7D%7B3%7D%20x%2Bb%20)
To find b, substitute x and y for one of the given coordinate pairs:
0 = (-4/3)(2) + b
0 = -8/3 + b
8/3 = b
Substitute the b value into the equation to finish the line:
![y=\frac{-4}{3} x+\frac{8}{3}](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B-4%7D%7B3%7D%20x%2B%5Cfrac%7B8%7D%7B3%7D%20%20)
Answer: 2z + 6
Step-by-step explanation: Distribute the 2 to z and 3.
9. Wrong name for this angle: <2
10. Wrong name for this angle: <3