Evaluate the following expression.
`(24 -: 6) xx 4+ 7 xx 5 - 6`

Options

A. 31
B. 42
C. 45
D. 8

Answer

To evaluate the expression `(24 -: 6) xx 4 + 7 xx 5 - 6`, we will follow the order of operations (BODMAS/BIDMAS: Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step Solution:

1. **Rewrite the expression**:
The expression can be rewritten as:
\[ \frac{24}{6} \times 4 + 7 \times 5 - 6 \]

2. **Perform the division**:
Calculate \( \frac{24}{6} \):
\[ \frac{24}{6} = 4 \]
Now the expression becomes:
\[ 4 \times 4 + 7 \times 5 - 6 \]

3. **Perform the multiplications**:
- First, calculate \( 4 \times 4 \):
\[ 4 \times 4 = 16 \]
- Next, calculate \( 7 \times 5 \):
\[ 7 \times 5 = 35 \]
Now the expression is:
\[ 16 + 35 - 6 \]

4. **Perform the addition**:
Add \( 16 + 35 \):
\[ 16 + 35 = 51 \]
Now the expression is:
\[ 51 - 6 \]

5. **Perform the subtraction**:
Subtract \( 6 \) from \( 51 \):
\[ 51 - 6 = 45 \]

### Final Answer:
The value of the expression is \( 45 \).