The value of `(-30)xx[33+(-23)]+(-203)div(-29)` is:

Options

A. 295
B. -259
C. -592
D. -293

Answer

To solve the expression `(-30)xx[33+(-23)]+(-203)div(-29)`, we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step Solution:

1. **Evaluate the expression inside the brackets:**
\[ 33 + (-23) = 33 - 23 = 10 \]
Now, the expression becomes:
\[ (-30) \times 10 + \frac{-203}{-29} \]

**Hint:** Always simplify expressions inside brackets first.

2. **Perform the multiplication:**
\[ (-30) \times 10 = -300 \]
Now, the expression is:
\[ -300 + \frac{-203}{-29} \]

**Hint:** Remember that multiplying a negative number by a positive number results in a negative product.

3. **Perform the division:**
\[ \frac{-203}{-29} = 7 \]
Now, the expression becomes:
\[ -300 + 7 \]

**Hint:** Dividing two negative numbers results in a positive quotient.

4. **Perform the addition:**
\[ -300 + 7 = -293 \]

**Hint:** When adding a positive number to a negative number, subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value.

### Final Answer:
The value of the expression is \(-293\).