Answer:
a = 250
b = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
Step 1: Define
[tex]a=\frac{5x^2}{2}[/tex]
[tex]b=\frac{2x^2(x-5)}{10x}[/tex]
x = 10
Step 2: Evaluate
a
- Substitute in x: [tex]a=\frac{5(10)^2}{2}[/tex]
- Exponents: [tex]a=\frac{5(100)}{2}[/tex]
- Multiply: [tex]a=\frac{500}{2}[/tex]
- Divide: [tex]a=250[/tex]
b
- Substitute in x: [tex]b=\frac{2(10)^2(10-5)}{10(10)}[/tex]
- Exponents: [tex]b=\frac{2(100)(10-5)}{10(10)}[/tex]
- Subtract: [tex]b=\frac{2(100)(5)}{10(10)}[/tex]
- Multiply: [tex]b=\frac{1000}{100}[/tex]
- Divide: [tex]b=10[/tex]