If + means `xx, -:` means +, - means `-:, xx` means -, then
`((36xx 4)-8xx4)/(4+8xx2+16-:1)`

Options

A. 8
B. 0
C. 1
D. 4

Answer

To solve the given expression step by step, we will first interpret the symbols according to the definitions provided in the question.

### Given:
- `+` means multiplication (xx)
- `-:` means addition (-)
- `-` means division (-)
- `xx` means subtraction (-)

### Expression:
\[ \frac{(36 \, \text{xx} \, 4) - 8 \, \text{xx} \, 4}{4 + 8 \, \text{xx} \, 2 + 16 -: 1} \]

### Step 1: Replace the symbols
Replace the symbols in the expression according to the definitions:
- `36 xx 4` becomes `36 - 4` (subtraction)
- `8 xx 4` becomes `8 - 4` (subtraction)
- `4 + 8 xx 2` becomes `4 * 8 - 2` (multiplication and subtraction)
- `16 -: 1` becomes `16 + 1` (addition)

So the expression now looks like this:
\[ \frac{(36 - 4) - (8 - 4)}{4 * (8 - 2) + (16 + 1)} \]

### Step 2: Simplify the numerator
Calculate the numerator:
\[ 36 - 4 = 32 \quad \text{and} \quad 8 - 4 = 4 \]
Thus, the numerator becomes:
\[ 32 - 4 = 28 \]

### Step 3: Simplify the denominator
Calculate the denominator:
\[ 4 * (8 - 2) + (16 + 1) \]
First, calculate \(8 - 2\):
\[ 8 - 2 = 6 \]
Now, calculate \(4 * 6\):
\[ 4 * 6 = 24 \]
Next, calculate \(16 + 1\):
\[ 16 + 1 = 17 \]
Now, add these results together:
\[ 24 + 17 = 41 \]

### Step 4: Final Calculation
Now, substitute back into the expression:
\[ \frac{28}{41} \]

### Conclusion
The final answer is:
\[ \frac{28}{41} \]