`(0.5 xx 5 + 0.25 xx 0.5 + 0.5 xx 4 + 0.5 xx 0.75)` is equal to

Options

A. 5
B. 10
C. 15
D. 20

Answer

To simplify the expression `(0.5 x 5 + 0.25 x 0.5 + 0.5 x 4 + 0.5 x 0.75)`, we will follow these steps:

### Step 1: Calculate each multiplication separately.
1. **Calculate \(0.5 \times 5\)**:
\[ 0.5 \times 5 = 2.5 \]

2. **Calculate \(0.25 \times 0.5\)**:
\[ 0.25 \times 0.5 = 0.125 \]

3. **Calculate \(0.5 \times 4\)**:
\[ 0.5 \times 4 = 2.0 \]

4. **Calculate \(0.5 \times 0.75\)**:
\[ 0.5 \times 0.75 = 0.375 \]

### Step 2: Add all the results together.
Now we will add the results from the calculations:
\[ 2.5 + 0.125 + 2.0 + 0.375 \]

### Step 3: Perform the addition step by step.
1. **Add \(2.5 + 0.125\)**:
\[ 2.5 + 0.125 = 2.625 \]

2. **Add \(2.625 + 2.0\)**:
\[ 2.625 + 2.0 = 4.625 \]

3. **Add \(4.625 + 0.375\)**:
\[ 4.625 + 0.375 = 5.0 \]

### Final Result
The final result of the expression \( (0.5 \times 5 + 0.25 \times 0.5 + 0.5 \times 4 + 0.5 \times 0.75) \) is:
\[ \boxed{5.0} \]