Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Start with hours worked 6 x $9 = 54
Then commission $700 x 0.12 (12% converted to a decimal) = $84
Add up 54 + 84 = $138 total income
So answers are A, the first C (you make $84 in commission), and the last one, you make $138 in total.
3x7 + 2x3 = 22 + 6 = 28 is the area
9)
8x+4*6
8x+24
11)
3t+2c=6tc
Answer:
5%
Step-by-step explanation:
Solving our equation
r = 4537.5 / ( 9075 × 10 ) = 0.05
r = 0.05
converting r decimal to a percentage
R = 0.05 * 100 = 5%/year
The interest rate required to
accumulate simple interest of $ 4,537.50
from a principal of $ 9,075.00
over 10 years is 5% per year.
