Respuesta :
Answer:
C. 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Step-by-step explanation:
Step 1: Define
Identify
a = 2/3
b = 3/4
c = 1/2
a(b - c²)
Step 2: Evaluate
- Substitute in variables: 2/3[3/4 - (1/2)²]
- [Brackets] Exponents: 2/3(3/4 - 1/4)
- (Parenthesis) Subtract: 2/3(1/2)
- Multiply: 1/3
Answer:
C. 1/3
Step-by-step explanation:
Replace each letter with their corresponding value and simplify using the order of operations:
a(b - c*c)
turns into:
[tex]\frac{2}{3} (\frac{3}{4}-(\frac{1}{2}*\frac{1}{2}))[/tex]
You want to remember that order of operations follows the rules of PEMDAS. The operations within the parentheses come first.
1/2 times 1/2 = 1/4
Now we have:
[tex]\frac{2}{3}(\frac{3}{4}-\frac{1}{4})[/tex]
Then 3/4 - 1/4 = 2/4 = 1/2
[tex]\frac{2}{3}(\frac{1}{2})[/tex] = 1/3
Therefore your answer is C. 1/3