Set up equivalent ratios: 39=

Question

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Cross multiply: 3x=
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Solve for x: x=
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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.