We haven n! = (n-1)! x n and (n+1)! = n! x (n + 1);
Then, (n!)^2 = n! x n! = n! x (n-1)! x n;
And (n+1)!(n-1)! = n! x (n + 1) x (n-1)!;
Finally, [n! x (n-1)! x n] / [n! x (n + 1) x (n-1)!] = (n+1)/n;
Answer:
60
Step-by-step explanation:
6% of 250 = 15 = 250 * 0.06
30% of 250 = 75 = 250 * 0.7
75-15=60
Answer:
0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(-5x + 6x²) - (6x² - 5x)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: -5x + 6x² - 6x² + 5x
- [Subtraction] Combine like terms (x²): -5x + 5x
- [Addition] Combine like terms (x): 0
Triangle= 180 degrees
Angle = 37.5 degrees
Supplement angle = 105 degrees
If you multiply the angle (37.5) by 2 and then add 30, it gives you 105. Then add 37.5 twice to make up the other two angles of the triangle and it gives you 180 total degrees as a triangle should.