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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
ANSWER: 12/20 or 3/5
4/5 of girls have brown hair
3/4 have long hair
Answer: 5/2
Step-by-step explanation:
Cross multiply
18 = 8x - 2
20 = 8x
20/8 reduces to 5/2
Answer: 320 cubic inches
Step-by-step explanation:
Equation for Surface area of this shape:
A = 2a^2+4ah
2a^2+4ah = 288
a = 8
2 x 8^2 + 4 x 8 x h = 288
h = 5
Now volume formula
V = a^2 x h
= 64 x 5
= 320 cubic inches
