An equation is shown.

Question

3/4m = 24

Determine if each possible value for m will make this equation true or false.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
18
28
32
36

Answer 1

To solve for \( m \) in the equation \( \frac{3}{4}m = 24 \), we first multiply both sides of the equation by \( \frac{4}{3} \):

\[ m = 24 \times \frac{4}{3} \]

Calculating that:

\[ m = 24 \times \frac{4}{3} = 24 \times \frac{4}{3} = 32 \]

Now, we check each possible value for \( m \):

1. 18: \[ \frac{3}{4} \times 18 = 13.5 \quad (\text{false}) \]

2. 28: \[ \frac{3}{4} \times 28 = 21 \quad (\text{false}) \]

3. 32: \[ \frac{3}{4} \times 32 = 24 \quad (\text{true}) \]

4. 36: \[ \frac{3}{4} \times 36 = 27 \quad (\text{false}) \]

So the responses should be:

• 18: false
• 28: false
• 32: true
• 36: false