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nmg9
08.12.2020 •
Mathematics
What are the x-intercepts of the function (x) =-2x-3x+ 20?
O 4,0) and
Ao-.and (4. 0)
O (5, 0) and (2, 0)
O (2, 0) and (5, 0)
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Ответ:
Let x = amount of 65% antifreeze
Let y = amount of 90% antifreeze
EQUATION 1: x + y = 50 (total of 50 gallons mixed)
EQUATION 2: .65x + .90y = .70(x + y)
Simplify and solve the system of equations
Multiply second equation by 100 on both sides to remove the decimals
65x + 90y = 70(x + y)
Combine like terms
65x + 90y = 70x + 70y
65x -70x+ 90y-70y = 0
-5x + 20y = 0
Now we have the following system of equations:
x + y = 50
-5x + 20y = 0
Multiply the first equation by 5 to get opposite coefficients for x;
add the equations to eliminate x
5x + 5y = 250
-5x + 20y = 0
------------------------------
25y = 250
Solve for y
y = 10
Since the total mixed gallons is 50,
x = 50 - 10 = 40
So we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze
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Step-by-step explanation: