This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
8 hours 40 minutes
Step 1: Calculate the time Amo slept from 8:20 pm until midnight. Midnight is . To find the duration from to , we subtract from . We need to borrow from , which is . So, becomes . \begin{align*} &\quad 11 hours 60 minutes \\ &- \quad 8 hours 20 minutes \\ \hline &\quad 3 hours 40 minutes \end{align*} Amo slept for before midnight.
Step 2: Calculate the time Amo slept from midnight until she woke up. Amo woke up at . The duration from to is .
Step 3: Add the durations from Step 1 and Step 2 to find the total sleep time. Total sleep time = \begin{align*} &\quad 3 hours 40 minutes \\ &+ \quad 5 hours 0 minutes \\ \hline &\quad 8 hours 40 minutes \end{align*} Amo slept for a total of .
Amo slept for .
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Calculate the time Amo slept from 8:20 pm until midnight. Midnight is 12:00 am.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.