Answer:
x = 30
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
8x - 3(2x - 4) = 3(x - 6)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 8x - 6x + 12 = 3x - 18
- Combine like terms: 2x + 12 = 3x - 18
- Subtract 2x on both sides: 12 = x - 18
- Add 18 to both sides: 30 = x
- Rewrite: x = 30
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)
- Multiply: 240 - 3(60 - 4) = 3(30 - 6)
- Subtract: 240 - 3(56) = 3(24)
- Multiply: 240 - 168 = 72
- Subtract: 72 = 72
Answer:
C
Step-by-step explanation:
you need to find how many cups of water were used in the game:
512-384=128
and then you can begin to calculate the number after that:
128/16=8(gallons)
hope it'll help! have a good day!
Answer:
27
Step-by-step explanation:
y=kx
9=k*5, so k=9/5
when x=15
y=(9/5)*15=27
Answer:
Set the area equal to x2, solve for x, and then multiply the value of x by 4.
Step-by-step explanation:
The area of the picture is given by
A = s^2 where s is the side length
Let the side length be x
A = x^2
Take the square root of each side
sqrt(A) = sqrt(x^2)
x = sqrt(A)
We want to find the perimeter since we are framing the border
P = 4s since the picture is a square
P = 4 * x
(24 ÷ 3) + 3 = 8 + 3 = 11
