Answer:
n = 1
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>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-41 = -2/5(45n + 60) + n
<u>Step 2: Solve for </u><em><u>n</u></em>
- Distribute -2/5: -41 = -18n - 24 + n
- Combine like terms: -41 = -17n - 24
- [Addition Property of Equality] Add 24 on both sides: -17 = -17n
- [Division Property of Equality] Divide -17 on both sides: 1 = n
- Rewrite/Rearrange: n = 1
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: -41 = -2/5(45(1) + 60) + 1
- (Parenthesis) Multiply: -41 = -2/5(45 + 60) + 1
- (Parenthesis) Add: -41 = -2/5(105) + 1
- Multiply: -41 = -42 + 1
- Add: -41 = -41
Here we see that -41 does indeed equal -41.
∴ n = 1 is the solution to the equation.
Answer:
-5
Step-by-step explanation:
-15/3 = -5
h = -5
Answer:
10,000>3,200 (inequality).......3,200+6,800=10,000
Step-by-step explanation:
First you distribute, you will be left with 8s-12=3s+1
then you will add 12 on each sides, and subtract 3s on each side, you'll be left with 5s=11 then you will divide by 5 on each sides s=2.2
Answer:
hypotenuse = about 1.41 , the area = about 1.99
Step-by-step explanation:
Pythagorean thereom: (1)^2 + (1)^2 = x^2, x = (2)^(1/2) = about 1.41
Area of Square: S^2 = (2)^(1/2)^2 = 2 , or about 1.99