Answer:
4. Circumference = diameter × π
8× 3. 14= 25. 12 ~25. 1
5. 13×3. 14= 40. 82 ~40. 8
6. Diameter= radius ×2
3. 5×2=7
Diameter = 7
7× 3. 14= 21. 98 ~22
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
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They definitely can be positive they can be negative and they can have an absolute value but I would choose they both can be positive and negative