Let's go through each part of the question in detail:

Part (a):

$\frac{3^2 + 2.8}{16 - 11}$

1. First, calculate the exponent $3^2 = 9$.
2. Add $9 + 2.8 = 11.8$.
3. Now, simplify the denominator $16 - 11 = 5$.
4. The expression becomes $\frac{11.8}{5} = 2.36$.

Thus, the value of (a) is $2.36$.

Part (b):

$32 \cdot \left(\frac{1}{2} + 6\right) - (4 - 1)$

1. First, simplify the expression inside the parentheses: $\frac{1}{2} + 6 = 6.5$.
2. Multiply: $32 \cdot 6.5 = 208$.
3. Now, simplify the subtraction: $4 - 1 = 3$.
4. Subtract: $208 - 3 = 205$.

Thus, the value of (b) is $205$.

Part (c):

$4 \left((8 - 10 \cdot 3) + 2^3 - 5\right)$

1. Begin with the multiplication: $10 \cdot 3 = 30$.
2. Simplify inside the parentheses: $8 - 30 = -22$.
3. Now, calculate the exponent: $2^3 = 8$.
4. Simplify the entire expression: $(-22 + 8 - 5) = -19$.
5. Multiply by 4: $4 \cdot (-19) = -76$.

Thus, the value of (c) is $-76$.

Summary:

• (a) = 2.36
• (b) = 205
• (c) = -76

Would you like further explanations or details on any of the steps?

Here are 5 relative questions for you to practice:

1. Simplify $\frac{4^2 + 3.5}{20 - 6}$.
2. Solve $25 \cdot \left(\frac{3}{5} + 8\right) - (6 - 2)$.
3. What is $5 \left((15 - 5 \cdot 2) + 3^2 - 6\right)$?
4. Evaluate $\frac{5^2 + 1.4}{18 - 13}$.
5. Solve $28 \cdot \left(\frac{2}{3} + 5\right) - (7 - 4)$.

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to ensure correct results.