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):
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Set up equivalent ratios:
\[ \frac{39 \text{ miles}}{y \text{ hours}} = \frac{x \text{ miles}}{3 \text{ hours}} \] -
Cross multiply:
\[ 39 \cdot 3 = x \cdot y \] If we assume \(y = 1\) hour for simplification:
\[ 39 \cdot 3 = x \cdot 1 \] Thus:
\[ 3x = 39 \cdot 3 \] -
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.