Answer:
S(0, 2)
Step-by-step explanation:
Midpoint Formula: 
Step 1: Plug in known variables
5 = (10 + x)/2
-8 = (18 + y)/2
Step 2: Solve
10 = 10 + x
x = 0
-16 = 18 + y
y = 2
Step 3: Write coordinates
(0, 2)
Answer:
Step-by-step explanation:
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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
