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Answer:
56 in
Step-by-step explanation:
Square ....so each side is = x
x * x = area = 196
x^2 = 196
x = sqrt (196) = 14 in
perimeter = x + x + x + x = 56 in
Hello from Hello from MrBillDoesMath!
Answer:
False.
Discussion:
See attached file for discussion.
Thank you,
MrB
Using a system of equations, it is found that the unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
For the system:
- x is the unit price of a bag of chips.
- y is the unit price of liter of pop.
- z is the unit price for a chocolate bar.
From the table, the equations are:
![2x + 2y + z = 9.25](https://tex.z-dn.net/?f=2x%20%2B%202y%20%2B%20z%20%3D%209.25)
![3x + 4y + z = 14.50](https://tex.z-dn.net/?f=3x%20%2B%204y%20%2B%20z%20%3D%2014.50)
![x + 3y + 3z = 12](https://tex.z-dn.net/?f=x%20%2B%203y%20%2B%203z%20%3D%2012)
Replacing the <u>first equation on the second and the third:</u>
![z = 9.25 - 2x - 2y](https://tex.z-dn.net/?f=z%20%3D%209.25%20-%202x%20-%202y)
![3x + 4y + z = 14.50](https://tex.z-dn.net/?f=3x%20%2B%204y%20%2B%20z%20%3D%2014.50)
![3x + 4y + 9.25 - 2x - 2y = 14.50](https://tex.z-dn.net/?f=3x%20%2B%204y%20%2B%209.25%20-%202x%20-%202y%20%3D%2014.50)
![x + 2y = 5.25](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%205.25)
![x = 5.25 - 2y](https://tex.z-dn.net/?f=x%20%3D%205.25%20-%202y)
![x + 3y + 3z = 12](https://tex.z-dn.net/?f=x%20%2B%203y%20%2B%203z%20%3D%2012)
![x + 3y + 3(9.25 - 2x - 2y) = 12](https://tex.z-dn.net/?f=x%20%2B%203y%20%2B%203%289.25%20-%202x%20-%202y%29%20%3D%2012)
![-5x - 3y = -15.75](https://tex.z-dn.net/?f=-5x%20-%203y%20%3D%20-15.75)
![5x + 3y = 15.75](https://tex.z-dn.net/?f=5x%20%2B%203y%20%3D%2015.75)
Since
:
![5(5.25 - 2y) + 3y = 15.75](https://tex.z-dn.net/?f=5%285.25%20-%202y%29%20%2B%203y%20%3D%2015.75)
![-7y = -10.5](https://tex.z-dn.net/?f=-7y%20%3D%20-10.5)
![y = \frac{10.5}{7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B10.5%7D%7B7%7D)
![y = 1.5](https://tex.z-dn.net/?f=y%20%3D%201.5)
Then:
![x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25](https://tex.z-dn.net/?f=x%20%3D%205.25%20-%202y%20%3D%205.25%20-%202%281.5%29%20%3D%202.25)
![z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75](https://tex.z-dn.net/?f=z%20%3D%209.25%20-%202x%20-%202y%20%3D%209.25%20-%202%282.25%29%20-%202%281.5%29%20%3D%201.75)
The unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076
Answer:
He gets 2.4 cups. This is a case of inverse proportion
Step-by-step explanation:
Hope this helps! If you need extra info, just comment me for an explanation
PLEASE MARK AS BRAINLIEST! I WOULD APPRECIATE THAT