Answer:
8
Step-by-step explanation:
3+5=8
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
SAS because you have 2 known side lengths and one angle!
Answer: All Real Number
Step-by-step explanation:
This is a system of equation, and generally, there are three ways to solve:
- elimination
- substitution
- augmented matrix
Here, we are going to use elimination
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Given
-2x-y=1
-6x=3y+3
Put them in the same order
-2x-y=1
-6x-3y=3
Multiply 3 on both sides for the first equation
-6x-3y=3
-6x-3y=3
We subtract the first equation from the second equation
0=0
The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.
Hope this helps!! :)
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