Answer:

Step-by-step explanation:
I am solving this using Function Notation.
We are given:

While we are to find:

In Function Notation, replace all the "
" you see with the value you are given.
So, in this case,

Would become

Now we can solve.

Use PEMDAS; Parenthesis first;

Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with


Therefore, the value of x is -5
<h3>
Answer: C) 13 gallons</h3>
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Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
Divide the time he traveled by the distance to find how fast he travels 1 mile, then multiply that by 5 miles:
12 minutes / 2 miles = 6 minutes per mile.
6 minutes per mile x 5 miles = 30 total minutes.
Vlad did not make a mistake.
(a,7) lies on the equation of 5x-y=8, that means we solve for x when y=7.
5x-(7)=8
5x=8+7=15
x=3
=>
a=3