10t = b - 4
12b+8t = $348
This is a system of equations. I’ll be solving through substitution.
In the first equation. solving for b (the easier variable to isolate) gives you:
b = 10t + 4
Substitute this into the second equation:
12(10t+4) +8t = 348
120t+48+8t = 348
128t = 300
t = 2.34375 —> round it to the nearest cent to get 2.34 dollars
b = 10t+4
b = 10(2.34)+4
b = 27.4 dollars
Answer:
x = 
Step-by-step explanation:
Given
x +
= 
Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions
80x + 36 = 45 ( subtract 36 from both sides )
80x = 9 ( divide both sides by 80 )
x = 
Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.
Simplifying
2x + 3y = 12
Solving
2x + 3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
2x + 3y + -3y = 12 + -3y
Combine like terms: 3y + -3y = 0
2x + 0 = 12 + -3y
2x = 12 + -3y
Divide each side by '2'.
x = 6 + -1.5y
Simplifying
x = 6 + -1.5y
Combine like terms
6w - 4w and 8 - 1
Final answer: 2w - 7