If `42.42 = k(14 + 7//50)` , then what is the value of k ?

Options

A. 1
B. 2
C. 3
D. 4

Answer

To solve the equation \( 42.42 = k(14 + \frac{7}{50}) \), we will follow these steps:

### Step 1: Simplify the Right-Hand Side
First, we need to simplify the expression on the right-hand side, which is \( 14 + \frac{7}{50} \).

\[ \frac{7}{50} = 0.14 \]

Now, we can add this to 14:

\[ 14 + 0.14 = 14.14 \]

### Step 2: Rewrite the Equation
Now we can rewrite the original equation using the simplified right-hand side:

\[ 42.42 = k(14.14) \]

### Step 3: Solve for \( k \)
To find \( k \), we can divide both sides of the equation by \( 14.14 \):

\[ k = \frac{42.42}{14.14} \]

### Step 4: Calculate \( k \)
Now we will perform the division:

\[ k = 3 \]

Thus, the value of \( k \) is \( 3 \).

### Final Answer
\[ k = 3 \]

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