Answer:
Adults = x
Students = y = x + 40. 40 more student than adult
Adult = $8, Student = $6
Total for Adults = 8*x = 8x
Total for students = 6*y = 6y
Total = $1920
8x + 6y = 1920
Hence system of equations are:
y = x + 40
8x + 6y = 1920
Answer: 20
Step-by-step explanation:
a^2+b^2=c^2 (pythagorean theorem where c is hypotenuse)
12^2+16^2=c^2
144+256=c^2
400=c^2
square root of 400=20
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from table.</em>
Point (-1, -1)
Point (0, -5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>. Rate of change and slope are identical.
- Substitute [SF]:

- Add:

- Divide:

Answer:
x+1=4x-2
Subtract x from both sides
1=3x-2
Add 2 to both sides
3=3x
Divide 3
x=1