8 and 10 because 8 x 5 equals 40 and 10 x 4 equals 40. and 10 minus 8 is two
Answer:
k = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(k - 5) + 3k = k + 6
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 2: 2k - 10 + 3k = k + 6
- Combine like terms: 5k - 10 = k + 6
- Subtract <em>k</em> on both sides: 4k - 10 = 6
- Add 10 on both sides: 4k = 16
- Divide 4 on both sides: k = 4
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 2(4 - 5) + 3(4) = 4 + 6
- (Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
- Multiply: -2 + 12 = 4 + 6
- Add: 10 = 10
Here we see that 10 does indeed equal 10.
∴ k = 4 is the solution to the equation.
A cube with side length 1 unit is called a unit cube
