Answer:
x = 6
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>
- Terms/Coefficients/Degrees
- Expand by FOIL (First Outside Inside Last)
- Factoring
- Multiple Roots
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = x + 3
<em>b</em> = x
<em>c</em> = √117
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: (x + 3)² + x² = (√117)²
- Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
- Combine like terms: 2x² + 6x + 9 = (√117)²
- Exponents: 2x² + 6x + 9 = 117
- [SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0
- Factor out GCF: 2(x² + 3x - 54) = 0
- [DPE] Divide 2 on both sides: x² + 3x - 54 = 0
- Factor Quadratic: (x - 6)(x + 9) = 0
- Solve roots/solve <em>x</em>: x = -9, 6
Since we are dealing with positive values, we can disregard the negative root.
∴ x = 6
Answer:
3.8%
Step-by-step explanation:
90/2358=0.038
Answer:
A. 8
Step-by-step explanation:
6.0061 x 10^7
/ = 6/8 x 10^7/10^6
7.8483 x 10^6
0.75 x 10^7-6
0.75 x 10^1
A: 0.75 = 7.5 = 8.
Answer:
105, i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
shirt = x, pants: y
Katie equation: 3x + 2y = 80, Erin equation: 3x + 4y = 116
3x + 2y = 80
3x = 80 - 2y
x = 80/3 - 2y/3
3(80/3 - 2y/3) + 4y = 116
80 - 2y + 4y = 116
80 + 2y + 116
2y = 36
y = 18, pants cost $18
3x + 4(18) = 116
3x + 72 = 116
3x = 44
x = 14.66... (66 is repeating), shirts cost $14.66
check work:
Katie: 3(14.66) + 2(18) = 79.98 which is roughly 80.
