Math Problem Statement
Solution
Here are the solutions to the problems visible in the uploaded image:
Question 8:
A pile of 40 books is 92.8 cm high. Some books were removed, reducing the pile height to 81.2 cm. How many books were removed?
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Calculate the height of one book:
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Calculate the number of books corresponding to the remaining height:
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Subtract the remaining books from the total books:
Answer: 5 books were removed.
Question 9:
Cindy left home at 8:45 a.m. Her walk to the station took 0.3 hours, and her train ride took 24 minutes. She waited of an hour at the station. What time did she arrive at her destination?
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Convert 0.3 hours to minutes:
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Add the walking and train travel times in minutes:
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Convert of an hour to minutes:
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Add the waiting time to the total:
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Add 47 minutes to 8:45 a.m.:
Answer: Cindy arrived at her destination at 9:32 a.m.
Question 10:
The vet and two cats weigh 92.456 kg together. If each cat weighs 2.350 kg, how much does the vet weigh?
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Calculate the total weight of the two cats:
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Subtract the cats' weight from the total weight:
Answer: The vet weighs 87.756 kg.
Do you want further clarifications or detailed explanations for any of these solutions?
Here are 5 related questions to practice:
- If another 3 books were removed in Question 8, what would the new pile height be?
- How many minutes in total did Cindy spend waiting, walking, and traveling in Question 9?
- If Cindy's train journey time was doubled, what would her new arrival time be?
- What is the percentage of the vet's weight relative to the total weight in Question 10?
- If each book in Question 8 weighed 1.5 kg, what is the total weight of the pile initially?
Tip: Break down problems into small steps for better accuracy and understanding.
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Math Problem Analysis
Mathematical Concepts
Proportional Reasoning
Division
Subtraction
Formulas
Height of one book = Total height / Total books
Remaining books = New height / Height of one book
Books removed = Total books - Remaining books
Theorems
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Suitable Grade Level
Grades 5-7
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