If `(10)/(7)(1-2.43 xx 10^(-3)) = 1.417 + x`, then x is equal to :

Options

A. `0.0417`
B. `0.417`
C. `0.0081`
D. `0.81`

Answer

To solve the equation \(\frac{10}{7}(1 - 2.43 \times 10^{-3}) = 1.417 + x\), we will follow these steps:

### Step 1: Calculate the left side of the equation
First, we need to calculate the value of \(\frac{10}{7}(1 - 2.43 \times 10^{-3})\).

1. **Calculate \(2.43 \times 10^{-3}\)**:
\[ 2.43 \times 10^{-3} = 0.00243 \]

2. **Subtract from 1**:
\[ 1 - 0.00243 = 0.99757 \]

3. **Multiply by \(\frac{10}{7}\)**:
\[ \frac{10}{7} \times 0.99757 \approx 1.4211 \]

### Step 2: Set up the equation
Now we can set up the equation with the calculated left side:
\[ 1.4211 = 1.417 + x \]

### Step 3: Solve for \(x\)
To find \(x\), we will isolate it on one side of the equation:
\[ x = 1.4211 - 1.417 \]

### Step 4: Calculate \(x\)
Now, perform the subtraction:
\[ x = 0.0041 \]

Thus, the value of \(x\) is approximately \(0.0041\).

### Final Answer:
\[ x \approx 0.0041 \]

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