Answer:
x = ±2√5
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Multiple Roots
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² - 5 = 75
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 5 on both sides: 4x² = 80
- [Division Property of Equality] Divide 4 on both sides: x² = 20
- [Equality Property] Square root both sides: x = ±2√5
Answer:
Step-by-step explanation:
sin = opposite / hypotenuse
ED is the opposite leg to angle C
CD is hypotenuse as opposite to angle E
<u>Substitute values</u>
Answer:
65/100
Step-by-step explanation:
Since it is a whole percentage it would be over 100. Since its 65%, it would be 65/100
Answer:
$2.90
Step-by-step explanation:
The quantity of the 1st type of candy be x lb and that of the second type − y lb with the price of $ p/lb.
Then, x=5y/12 or y=2.4x.
The "total price" equation will be: 4.6x + 2.4xp = 3.4(x+2.4x).
Solving for p, we get p = $2.90.
Answer:
$110,080
Step-by-step explanation:
This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.
The general formula for such an arithmetic series is
a(n) = $80,000 + ($5,000)(n - 1)
and so in his 23rd year Jason would make
a(23) = $80,000 + ($5,000)(23 - 1), or
$110,080
