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By the end of the day, you have determined that you spent 34 of an hour waiting in a roller coaster line, 1 15 hours waiting in a water ride line, and 23 of an hour waiting in a theater show line. How many hours did you spend waiting in line?(2 points)Responses1 3760 hours 1 3760 hours3 3340 hours 3 3340 hours2 12 hours 2 12 hours2 3760 hours

1 answer

To find the total time spent waiting in line, we need to add the different times together.

Given:

  • 34 of an hour = \( \frac{3}{4} \) hour (assuming you meant 3/4 of an hour)
  • 1 15 hours = 1 hour and 15 minutes = \( 1 + \frac{15}{60} = 1 + \frac{1}{4} = \frac{5}{4} \) hours
  • 23 of an hour = \( \frac{2}{3} \) hour (assuming you meant 2/3 of an hour)

Now let's convert all of them to a common denominator:

  1. \( \frac{3}{4} = \frac{9}{12} \)
  2. \( \frac{5}{4} = \frac{15}{12} \)
  3. \( \frac{2}{3} = \frac{8}{12} \)

Now we can add these fractions:

\[ \frac{9}{12} + \frac{15}{12} + \frac{8}{12} = \frac{9 + 15 + 8}{12} = \frac{32}{12} = \frac{8}{3} \text{ hours} \]

Thus, the total amount of time spent waiting in line is \( \frac{8}{3} \text{ hours} \), which is approximately 2 hours and 40 minutes.

The answer is 2 2/3 hours (or approximately 2.67 hours).

However, the responses you provided did not include this exact answer. If the rounding or interpretation of the fractions is different, please clarify, and I can help further!