Step-by-step explanation:
[(-3 × 2 × (-4)] ÷ [-6 × 12]
[3 × 2 × -4] ÷ [-6 × 12]
[6 × -4]/[-6 × 12]
-4/(-1 × 12]
-4/-12
⅓
Option A is wrong
Option B is wrong -9/-18 = ½ not ⅓
Option C is correct = -24/-72 = ⅓
Option D is wrong = 9/-18 = -½ not ⅓
18 - 5z + 6z > 3 + 6
18 + z > 9
-18 -18
z > -9
C the value of m and b doesn't affect the sign of the x-int
m is the slope of the line and b is the y-int
Answer: x=1 or x=-3
Step-by-step explanation:
Quadratic formula is 
a=1 b=2 c=-3
Substitute

Answer:
V = 38659.68 cm^3
Step-by-step explanation:
If we pretend A barrel is a cylinder we use V=πr^2h for the volume. We know h, but we need to find r
The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.
C = 2πr
56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14
56.52/(2*3.14) = r
9 cm = r
Now we can just plug into the volume.
V=πr^2h
V = 3.14 * 9^2 * 152
V = 38659.68 cm^3
I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.