Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
![A + B = 160](https://tex.z-dn.net/?f=A%20%2B%20B%20%3D%20160)
Then the total amount of pure antifreeze in the mixture will be:
![A + 0.12B = 0.23 * 160](https://tex.z-dn.net/?f=A%20%2B%200.12B%20%3D%200.23%20%2A%20160)
![A + 0.12B = 36.8](https://tex.z-dn.net/?f=A%20%2B%200.12B%20%3D%2036.8)
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:
![-A -B = -160](https://tex.z-dn.net/?f=-A%20-B%20%3D%20-160)
![-A -B = -160](https://tex.z-dn.net/?f=-A%20-B%20%3D%20-160)
+
![A + 0.12B = 36.8](https://tex.z-dn.net/?f=A%20%2B%200.12B%20%3D%2036.8)
--------------------------------------
![-0.88B = -123.2](https://tex.z-dn.net/?f=-0.88B%20%3D%20-123.2)
![B = \frac{-123.2}{-0.88}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B-123.2%7D%7B-0.88%7D)
![B = 140\ milliliters](https://tex.z-dn.net/?f=B%20%3D%20140%5C%20milliliters)
We substitute the value of B into one of the two equations and solve for A.
![A + 140 = 160](https://tex.z-dn.net/?f=A%20%2B%20140%20%3D%20160)
![A = 20\ milliliters](https://tex.z-dn.net/?f=A%20%3D%2020%5C%20milliliters)
Answer: Hello Luv........
Complete the square to find the vertex:
(−2,−11)
Step-by-step explanation:
y=x2+4x−7
=x2+4x+4−11
=(x+2)2−11
Mark me brainest please.
Hope this helps!
Anna ♥
Answer:
I think the answer for this question is 2.24cm
If 9 is 1/3 of the problem, then 9 x 3
= 27 would be the answer