Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 1 = 3 - 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 6x + 1 = 3
- Subtract 1 on both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(1/3) + 1 = 3 - 2(1/3)
- Multiply: 4/3 + 1 = 3 - 2/3
- Add/Subtract: 7/3 = 7/3
Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
Answer:
all work is pictured and shown
Answer:
they are equivalent
Step-by-step explanation:
because 4 times 9 is 36 and 4 times 5 is 20 so it is equal to 36+20
Answer:
1. g. $0.10 per square inch
2. c. $0.08 per square inch
3. f. $10
4. m. $8
5. h. 79 in²
6. j. 113 in²
Step-by-step explanation:
1. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 78.53981
$8.00/25π = $0.10 per square inch
2. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113.0973355
$10.00/36π = 0.088419 = $0.08 per square inch
3. information/answer was provided
4. information/answer was provided
5. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 79 in²
6. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113 in²
(6;2)
6 - x coordinate, 2 - y coordinate.
6 > 0, then we need to move right 6 points. 2 > 0, than we need to move up 2 points
Answer: Start at the origin. Move 6 units to the right, then move 2 units up.
