When you are given an equation or an expression and told the values for the variables, you can just substitute them into the equation to solve:
8b^2 - 5m + 12
8(6)^2 - 5(8) + 12
8(36) - 40 + 12
288 - 40 + 12
248 + 12
260
Answer:
260
Hope this helps!
Answer:
49
Step-by-step explanation:
x=180-131=49
Hi there!

2x - 4y = 9
Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):
2x - 2x - 4y = 9 - 2x
-4y = 9 - 2x
Further isolate by dividing both sides by -4:
-4y / (-4) = (9 - 2x) / (-4)
y = -9/4 - 2x/(-4)
Simplify further:
y = -9/4 + 1/2x
y = 1/2x - 9/4
The "b" value is the y-intercept, therefore:
x = 0 at y = -9/4
Answer:
Total interest to be paid: $210
Total amount to be repaid: $3,710
Step-by-step explanation:
You can ignore the monthly payment for this problem.
For simple interest, the formula is I = PRT where I = interest earned, P = principal amount borrowed/deposited, R = rate as a decimal, and T = time in years.
I = (3,500)(0.06)(1)
I = 210
Then add that to the amount borrowed ($3,500) and you're done.
3,500 + 210 = $3,710
Please let me know if you have questions.
Let's call the length of the rectangular fence
and the width of the rectangular fence
.
Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:


Now, let's substitute in the values we are given in the problem:


Now, let's solve the system using substitution.

- Solve for
from the first equation

- Substitute this value into the second equation


- Multiply both sides of the equation by


- Subtract
from both sides of the equation

and 
- Use the Zero Product Property and solve both factors


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:


Thus, our answer is Choice C, or 10 feet by 24 feet.