Question
Alyssa plants 45 of a row in her garden every 23 of an hour.
How many rows does Alyssa plant per hour?
Responses
815 rows
8 over 15 rows
56 rows
5 over 6 rows
115 rows
1 and 1 over 5 rows
178 rows
How many rows does Alyssa plant per hour?
Responses
815 rows
8 over 15 rows
56 rows
5 over 6 rows
115 rows
1 and 1 over 5 rows
178 rows
Answers
GPT-4o mini
To find out how many rows Alyssa plants per hour, we need to calculate how many rows she can plant in one hour based on the information given.
Alyssa plants 45 rows every \( \frac{2}{3} \) of an hour (since \( 23 \) minutes is \( \frac{23}{60} \approx \frac{2}{3} \) of an hour).
To find the number of rows per hour, we can set up the following proportion:
\[
\text{Rows per hour} = \frac{\text{Rows planted}}{\text{Time (in hours)}}
\]
Substituting in her planting rate:
\[
\text{Rows per hour} = \frac{45 \text{ rows}}{\frac{2}{3} \text{ hour}}
\]
To divide by a fraction, we multiply by its reciprocal:
\[
\text{Rows per hour} = 45 \text{ rows} \times \frac{3}{2}
\]
Now, we calculate:
\[
= \frac{45 \times 3}{2} = \frac{135}{2} = 67.5 \text{ rows per hour}
\]
Rounding that gives us her planting rate as:
\[
67.5 \text{ rows per hour} = 67 \text{ rows and } 1/2 \text{ row}
\]
This doesn't seem to match any of your provided options.
Let's check the original context. It says she plants 45 rows every \( \frac{2}{3} \) hour, which should actually yield:
\[
45 / \frac{2}{3} = 45 \times \frac{3}{2} = 67.5
\]
Thus, Alyssa plants \( 67.5 \) rows per hour or \( 67 \) and \( \frac{1}{2} \) rows per hour.
We can translate \( 67.5 \) into a fraction:
\[
67.5 = \frac{135}{2} \text{ which simplifies to } 67\frac{1}{2}
\]
Finally, the options presented either might just present ambiguities in presentation or labeling; so we confirm that Alyssa plants \( \frac{135}{2} \) rows per hour or \( 67.5 \) rows per hour, which can be interpreted as \( 67\frac{1}{2} \).
If this doesn't seem to connect with the options, feel free to provide detailed context or formats accordingly.
Alyssa plants 45 rows every \( \frac{2}{3} \) of an hour (since \( 23 \) minutes is \( \frac{23}{60} \approx \frac{2}{3} \) of an hour).
To find the number of rows per hour, we can set up the following proportion:
\[
\text{Rows per hour} = \frac{\text{Rows planted}}{\text{Time (in hours)}}
\]
Substituting in her planting rate:
\[
\text{Rows per hour} = \frac{45 \text{ rows}}{\frac{2}{3} \text{ hour}}
\]
To divide by a fraction, we multiply by its reciprocal:
\[
\text{Rows per hour} = 45 \text{ rows} \times \frac{3}{2}
\]
Now, we calculate:
\[
= \frac{45 \times 3}{2} = \frac{135}{2} = 67.5 \text{ rows per hour}
\]
Rounding that gives us her planting rate as:
\[
67.5 \text{ rows per hour} = 67 \text{ rows and } 1/2 \text{ row}
\]
This doesn't seem to match any of your provided options.
Let's check the original context. It says she plants 45 rows every \( \frac{2}{3} \) hour, which should actually yield:
\[
45 / \frac{2}{3} = 45 \times \frac{3}{2} = 67.5
\]
Thus, Alyssa plants \( 67.5 \) rows per hour or \( 67 \) and \( \frac{1}{2} \) rows per hour.
We can translate \( 67.5 \) into a fraction:
\[
67.5 = \frac{135}{2} \text{ which simplifies to } 67\frac{1}{2}
\]
Finally, the options presented either might just present ambiguities in presentation or labeling; so we confirm that Alyssa plants \( \frac{135}{2} \) rows per hour or \( 67.5 \) rows per hour, which can be interpreted as \( 67\frac{1}{2} \).
If this doesn't seem to connect with the options, feel free to provide detailed context or formats accordingly.