To determine the equivalent value of \( T \) in the ratio of hits to times at bat for Melissa and Billy Jones, start by calculating the ratios.
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For Melissa:
- Hits: 6
- Times at bat: 20
- Ratio: \(\frac{6}{20} = \frac{3}{10}\)
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For Billy Jones:
- Hits: 9
- Times at bat: 10
- Ratio: \(\frac{9}{10}\)
Now, we set the two ratios equal to each other: \[ \frac{3}{10} = \frac{9}{T} \]
To find \( T \), cross-multiply: \[ 3T = 90 \]
Now, solve for \( T \): \[ T = \frac{90}{3} = 30 \]
Thus, the value of \( T \) is \( 30 \).