The solution of the equation is 
Step-by-step explanation:
To simplify an equation of x
- Simplify each side of the equation
- Collect x in side and the numerical terms in the other side
- Find the value of x
∵ The equation is 
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is 
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴ 
The solution of the equation is 
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Preliminary Problem
Givens
Miles = m = 392 miles
Gallons = G = 14 gallons
Miles per gallon = mpg
Formula
miles = miles per gallon * number of gallons.
Solve
392 = mpg * 14 Divide by 14
392 / 14 = mpg
28 = mpg which is really quite good. Our vehicle gets 44 mpg but it's a 4 cylinder. It's meant to get that kind of milage.
Part A
Let x = the number of gallons used
Let y = the number of miles driven
y = k*x
Part B
y = k* x
k =28 mpg
11700 = 28*x
11700 /28 = x
x = 417.86
If this is incorrect please put some more facts in. The question does not seem complete.
Answer:

Step-by-step explanation:

Step-by-step explanation:
y=|x| is a vee graph starting at (0,0)
y=|x| - 3 is a vee graph starting (0,-3)
see attachment
Answer:
96 square inches.
Step-by-step explanation:
From given picture we see that
BC=8 in
AD=10 in
Given that
AD=AB
Then AB=10 in
Apply Pythagorean theorem in triangle ABC to find AC






take square root

Then area of triangle ABC 

There are total 4 congruent triangles.
Then total area of the given figure = 4(24)=96 square inches.