The answer is 24.69 ounces
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Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
Answer:
T + V = 50
2T + (3/2) * V = 90
2T + 1.5V = 90
T = 50 * 1.5 - 90 * 1 / 1 * 1.5 - 2*1 = 30
V = 1 * 90 - 2 * 50 / 1 * 1.5 - 2 * 1 = 20
Step-by-step explanation:
T = 30
V = 20
Answer:
G). 1.2x + 7.92 -3.3x = 41
-2.1x=33.08
x = 33.08/-2.1
x = - 15.752
H). 3x/2 + 9/5 = 12
Multiply through by 10
15x + 18 =120
15x =120-18
15x = 102
x =102/15
x=34/5
I). 5 = 9/4 - r/3
Multiply through by 12
60= 27 - 4r
60 - 27 = -4r
33 = - 4r
r = -33/4
J). 2(x - 2) = 12
2x - 4 = 12
2x = 16
x = 16/2
x = 8
