Answer:
3 = 3 (infinitely many solutions)
Step-by-step explanation:
Answer:
$16,500
Step-by-step explanation:
The computation of the amount that should be paid for the car is shown below:
Since the car would be purchased one year ago
And, the value of the car would be decreased by 15% to $14025
So the amount that should be paid is
= $14025 × 100 ÷ (100 - 0.15)
= $16,500
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
Answer:
- no question content
- (x, y) = (1/2, 4)
- (x, y) = (2, 10)
Step-by-step explanation:
1. No link, no question
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2. Divide the first equation by 2 and substitute for y using the expression in the second equation.
2x +(4x+2) = 5
6x = 3 . . . . . . . . . subtract 2
x = 3/6 = 1/2 . . . . divide by2
y = 4(1/2) +2 = 4 . . . . substitute into the equation for y
The solution is (x, y) = (1/2, 4).
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3. The solution using a graphing calculator is (x, y) = (2, 10). (see attached)
