Answer:
Step-by-step explanation:
<h3>Given</h3>
- P = 194
- l = 5w + 25
- l = ?, w = ?
<h3>Solution</h3>
<u>Perimeter formula</u>
<u>Substitute and solve for w:</u>
- 194 = 2(5w +25 + w)
- 194 = 12w + 50
- 12w = 144
- w = 144/12
- w = 12
<u>Find the length:</u>
Answer:
A. {x: x ≥ -4}
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- {Builder Set Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3(2x - 1) - 11x ≤ -3x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
- [Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
- [Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
- [Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
- [Division Property of Equality] Divide 2 on both sides: -4 ≤ x
- Rewrite: x ≥ -4