Answer:
x = 4/3
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>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x + 3(2x - 4) = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 3: 4x + 6x - 12 = x
- [Addition] Combine like terms: 10x - 12 = x
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: 9x - 12 = 0
- [Addition Property of Equality] Add 12 on both sides: 9x = 12
- [Division Property of Equality] Divide 9 on both sides: x = 4/3
The cars speed is 80 miles per hour
Solution1 Add <span>88</span> to both sides
<span>3x=10+8<span>3x=10+8</span></span>
2 Simplify <span>10+8<span>10+8</span></span> to <span>18<span>18</span></span>
<span>3x=18<span>3x=18</span></span>
3 Divide both sides by <span>33</span>
<span>x=\frac{18}{3}<span>x=<span><span>3</span><span><span>18</span></span><span></span></span></span></span>
4 Simplify <span>\frac{18}{3}<span><span>3</span><span><span>18</span></span><span></span></span></span> to <span>66</span>
<span>x=6<span>x=6</span></span>
Done
Check Answer ▲<span>3x-8=10<span>3x−8=10</span></span>
1 Let <span>x=6<span>x=6</span></span>
<span>3\times 6-8=10<span>3×6−8=10</span></span>
2 Simplify <span>3\times 6<span>3×6</span></span> to <span>18<span>18</span></span>
<span>18-8=10<span>18−8=10</span></span>
3 Simplify <span>18-8<span>18−8</span></span> to <span>10<span>10</span></span>
<span><span>10=10<span>10=10</span></span><span>
</span></span>
4 Aces, 4 2's, 4 3's 4 4's
= 16 cards total out of 52 cards
so probability would be 16/52 which reduces to 4/13
