Answer:
76,
Step-by-step explanation:
If you divide 57 by 3, you get 19. If you times 19 by 4 that is the total number of students there were in all.
Answer:
(x+5)(x-3)
Step-by-step explanation:
We can factor the equation to be
(x+5)(x-3)
Answer:
(3, -9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - 3y = 12
y = x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate <em>x</em> term: -8x = -24
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 12
- Substitute in <em>x</em>: y = 3 - 12
- Subtract: y = -9
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:Area is the space covered and perimeter is the distance around!
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Logarithms</u>
Some properties of logarithms will be useful to solve this problem:
1. 
2. 
3. 
We are given the equation:

Applying the second property:

Substituting:

Applying the first property:

Operating:

Rearranging:

Simplifying:

Dividing by 3:

Applying the third property:

Applying inverse logs:
