Simplify:- 149.9 * 3.9 + 123.9 + ? =(8.91)^3

Options

A. a. 10
B. b. 5
C. c. 19
D. d. 15

Answer

To simplify the expression \( 149.9 \times 3.9 + 123.9 + ? = (8.91)^3 \), we can follow these steps:

### Step 1: Calculate \( (8.91)^3 \)
First, we need to compute \( (8.91)^3 \).

\[ (8.91)^3 = 8.91 \times 8.91 \times 8.91 \]

Calculating \( 8.91 \times 8.91 \):

\[ 8.91 \times 8.91 = 79.5921 \]

Now multiply this result by \( 8.91 \):

\[ 79.5921 \times 8.91 \approx 707.865 \]

So, \( (8.91)^3 \approx 707.865 \).

### Step 2: Calculate \( 149.9 \times 3.9 \)
Next, we calculate \( 149.9 \times 3.9 \).

\[ 149.9 \times 3.9 \approx 585.61 \]

### Step 3: Set up the equation
Now we can substitute our results back into the equation:

\[ 585.61 + 123.9 + ? = 707.865 \]

### Step 4: Simplify the left side
Now, add \( 585.61 \) and \( 123.9 \):

\[ 585.61 + 123.9 = 709.51 \]

### Step 5: Solve for \( ? \)
Now we have:

\[ 709.51 + ? = 707.865 \]

To find \( ? \), we subtract \( 709.51 \) from both sides:

\[ ? = 707.865 - 709.51 \]

Calculating this gives:

\[ ? \approx -1.645 \]

### Final Answer
Thus, the value of \( ? \) is approximately \( -1.645 \).

---