`144div2^(2)xx x=12 % "of" 450div9`

Options

A. 1
B. 0.5
C. 0.16
D. 0.6

Explanation

To solve the equation \( 144 \div 2^2 \times x = 12\% \text{ of } \frac{450}{9} \), we will break it down step by step.

### Step 1: Simplify the left side of the equation

Start with the left side:
\[ 144 \div 2^2 \times x \]
Calculate \( 2^2 \):
\[ 2^2 = 4 \]
Now substitute this back into the equation:
\[ 144 \div 4 \times x \]

### Step 2: Perform the division

Now, divide 144 by 4:
\[ 144 \div 4 = 36 \]
So, the left side simplifies to:
\[ 36 \times x \]

### Step 3: Simplify the right side of the equation

Now, let's simplify the right side:
\[ 12\% \text{ of } \frac{450}{9} \]
First, calculate \( \frac{450}{9} \):
\[ \frac{450}{9} = 50 \]
Now, calculate \( 12\% \) of 50:
\[ 12\% = \frac{12}{100} = 0.12 \]
So,
\[ 0.12 \times 50 = 6 \]

### Step 4: Set the simplified sides equal to each other

Now we have:
\[ 36x = 6 \]

### Step 5: Solve for \( x \)

To find \( x \), divide both sides by 36:
\[ x = \frac{6}{36} \]
Simplifying this gives:
\[ x = \frac{1}{6} \approx 0.1667 \]

### Final Answer

Thus, the value of \( x \) is approximately:
\[ x \approx 0.1667 \]