The cost of each order of fried crab claw is $4.5 and cost of each cup of gumbo is $3.5
Step-by-step explanation:
Let,
Cost of each fried crab claw = x
Cost of each gumbo = y
According to given statement;
4x+4y=32 Eqn 1
2x+y = 12.5 Eqn 2
Multiplying Eqn 2 by 2
![2(2x+y = 12.5)\\4x+2y=25\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=2%282x%2By%20%3D%2012.5%29%5C%5C4x%2B2y%3D25%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 1
![(4x+4y)-(4x+2y)=32-25\\4x+4y-4x-2y=7\\2y=7](https://tex.z-dn.net/?f=%284x%2B4y%29-%284x%2B2y%29%3D32-25%5C%5C4x%2B4y-4x-2y%3D7%5C%5C2y%3D7)
Dividing both sides by 2
![\frac{2y}{2}=\frac{7}{2}\\y=3.5](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B2%7D%5C%5Cy%3D3.5)
Putting y=3.5 in Eqn 2
![2x+3.5=12.5\\2x=12.5-3.5\\2x=9](https://tex.z-dn.net/?f=2x%2B3.5%3D12.5%5C%5C2x%3D12.5-3.5%5C%5C2x%3D9)
Dividing both sides by 2
![\frac{2x}{2}=\frac{9}{2}\\ x=4.5](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B9%7D%7B2%7D%5C%5C%20x%3D4.5)
The cost of each order of fried crab claw is $4.5 and cost of each cup of gumbo is $3.5
Keywords: linear equation, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
1. 0.21 like that has happened
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.
8x - 15 = 3x
+15 +15
8x = 3x + 15
-3x
5x = 15
/5 /5
x = 3
Answer:
2
Step-by-step explanation: