Question

Set up equivalent ratios: 39=
Response area

Cross multiply: 3x=
Response area

Solve for x: x=
Response area miles

Answer 1

To set up equivalent ratios for your equation, you need to define what you are comparing the value 39 to. For example, if you are working with a ratio of miles to hours or something similar, let’s say we have a ratio of 39 miles for some quantity of hours, and we want to find how many miles (x) are in a different quantity of hours (let’s assume 3 hours):

1. **Set up equivalent ratios**:
\[
\frac{39 \text{ miles}}{y \text{ hours}} = \frac{x \text{ miles}}{3 \text{ hours}}
\]

2. **Cross multiply**:
\[
39 \cdot 3 = x \cdot y
\]
If we assume \(y = 1\) hour for simplification:
\[
39 \cdot 3 = x \cdot 1
\]
Thus:
\[
3x = 39 \cdot 3
\]

3. **Solve for x**:
To solve for \(x\), you would divide both sides by 3:
\[
x = \frac{39 \cdot 3}{3}
\]
Simplifying gives:
\[
x = 39 \text{ miles}
\]

So if we summarize:
- **Set up equivalent ratios**: \( \frac{39}{y} = \frac{x}{3} \)
- **Cross multiply**: \( 39 \cdot 3 = x \cdot y \)
- **Solve for x**: \( x = 39 \, \text{miles} \)

If you have different values for \(y\) or another context, please provide that context for a more accurate response.