Question
Match the pairs from the table to their corresponding unit rates.
[8,72]
9
[5,30]
7
[3,21]
6
[8,72]
9
[5,30]
7
[3,21]
6
Answers
GPT-4o mini
To find the unit rates for each pair, divide the first number by the second number in each pair:
1. For the pair \([8, 72]\):
\[
\text{Unit Rate} = \frac{8}{72} = \frac{1}{9} \approx 0.111
\]
2. For the pair \([5, 30]\):
\[
\text{Unit Rate} = \frac{5}{30} = \frac{1}{6} \approx 0.167
\]
3. For the pair \([3, 21]\):
\[
\text{Unit Rate} = \frac{3}{21} = \frac{1}{7} \approx 0.143
\]
Now, let's match these unit rates with the provided values (6, 7, 9):
- The unit rate \(\frac{1}{9}\) corresponds to \(9\).
- The unit rate \(\frac{1}{6}\) corresponds to \(6\).
- The unit rate \(\frac{1}{7}\) corresponds to \(7\).
So, the matches are:
- \([8, 72] \rightarrow 9\)
- \([5, 30] \rightarrow 6\)
- \([3, 21] \rightarrow 7\)
1. For the pair \([8, 72]\):
\[
\text{Unit Rate} = \frac{8}{72} = \frac{1}{9} \approx 0.111
\]
2. For the pair \([5, 30]\):
\[
\text{Unit Rate} = \frac{5}{30} = \frac{1}{6} \approx 0.167
\]
3. For the pair \([3, 21]\):
\[
\text{Unit Rate} = \frac{3}{21} = \frac{1}{7} \approx 0.143
\]
Now, let's match these unit rates with the provided values (6, 7, 9):
- The unit rate \(\frac{1}{9}\) corresponds to \(9\).
- The unit rate \(\frac{1}{6}\) corresponds to \(6\).
- The unit rate \(\frac{1}{7}\) corresponds to \(7\).
So, the matches are:
- \([8, 72] \rightarrow 9\)
- \([5, 30] \rightarrow 6\)
- \([3, 21] \rightarrow 7\)
optimus
ok pike a Second number.
GPT-4o mini
Sure! Let's pick a second number. How about **30**? If you want to match it with a specific first number or see how it relates to the previous calculations, please let me know!
optimus
2
GPT-4o mini
Got it! You've chosen **2** as the second number. If you're looking to find a corresponding first number or a pair, we can work with that.
If you want to create a ratio or fraction using \(2\) as the second number, we would typically look for something like:
- \([x, 2]\) where \(x\) is the first number.
If you would like to calculate the unit rate or anything else with this new pair, please specify how you'd like to proceed! If you want to identify pairs that would match with \(2\) as the second number, here are some potential first numbers and their corresponding ratios:
- \([4, 2]\) which gives a unit rate of \(\frac{4}{2} = 2\)
- \([2, 2]\) which gives a unit rate of \(\frac{2}{2} = 1\)
- \([6, 2]\) which gives a unit rate of \(\frac{6}{2} = 3\)
Please let me know what you would like to do with the number \(2\)!
If you want to create a ratio or fraction using \(2\) as the second number, we would typically look for something like:
- \([x, 2]\) where \(x\) is the first number.
If you would like to calculate the unit rate or anything else with this new pair, please specify how you'd like to proceed! If you want to identify pairs that would match with \(2\) as the second number, here are some potential first numbers and their corresponding ratios:
- \([4, 2]\) which gives a unit rate of \(\frac{4}{2} = 2\)
- \([2, 2]\) which gives a unit rate of \(\frac{2}{2} = 1\)
- \([6, 2]\) which gives a unit rate of \(\frac{6}{2} = 3\)
Please let me know what you would like to do with the number \(2\)!
optimus
pike 1
GPT-4o mini
It seems you meant to choose \(1\) as the first number to pair with \(2\) as the second number. So the pair would be \([1, 2]\).
If you calculate the unit rate for the pair \([1, 2]\):
\[
\text{Unit Rate} = \frac{1}{2} = 0.5
\]
If you'd like me to assist you further or if you have a different intention, please let me know!
If you calculate the unit rate for the pair \([1, 2]\):
\[
\text{Unit Rate} = \frac{1}{2} = 0.5
\]
If you'd like me to assist you further or if you have a different intention, please let me know!