9 4/9
1. convert 3 1/3 to have a denominator of 9
2. 3 1/3 x 3/3 = 3 3/9
3. 6 1/9 + 3 3/9 = 9 4/9
Answer: x = -4, x = 5
Step-by-step explanation:
You can use the substitution method for this problem.
y = 
+ 2x, but y also = 3x +20.
Because of this, you can determine that +2x = 3x + 20 because they are both equal to the same thing, y.
Solve the quadratic equation you got from substitution:
+ 2x = 3x + 20
-x = 20
-x -20 = 0
You can factor this equation:
(x+4)(x-5) = 0
x = -4, x = 5
354/11 = 32.18
therefore the car approximately travels 32.18 miles per gallon of fuel
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
Therefore, the diameter is 6 inches (THE THIRD OPTION)
