Answer:
Step-by-step explanation:
Joint variation has the equation
y = kxz
k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:

Filling in with the initial conditions:
which gives us the
k = .0014166667
Now we need to find the amount of oil used, y, under other circumstances, but this time we have our k.

which gives us that the amount of oil used, when rounded to the tenths,
y = 24.0 barrels
Start by mult. both 0.4 and 5.12 by 100. What is 40 divided by 512?
___.078_______________
512 / 40.000
3584
-----------
4160
4096
---------
64 and so on. Calculator answer is 0.078125.
Answer: 1/3 (x + 6)
Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)
135 is a composite number.
135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.
Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.
Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5