We appreciate your visit to a Diego guesses that each piece of paper is 0 015 inches thick Explain how you know that Diego s answer is not correct b. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's tackle the question step-by-step:
### Part a: Explanation
Diego guessed that each piece of paper is 0.015 inches thick. To verify if this is a reasonable estimate, we can consider a typical ream of paper, which contains 500 sheets.
If each sheet were 0.015 inches thick, a ream of paper would be:
[tex]\[ \text{Total thickness} = 0.015 \, \text{inches/sheet} \times 500 \, \text{sheets} = 7.5 \, \text{inches} \][/tex]
This total of 7.5 inches is unrealistic because a ream of paper is typically around 2 inches thick. Therefore, Diego's estimate of 0.015 inches per sheet is much too high.
### Part b: Calculate the Thickness of Each Piece of Paper
Let's determine the actual thickness per sheet, given that we know a typical ream is about 2 inches thick and contains 500 sheets.
Given:
- Total thickness of the ream = 2 inches
- Number of sheets in the ream = 500
To find the thickness of each sheet, we divide the total thickness by the number of sheets:
[tex]\[ \text{Thickness per sheet} = \frac{\text{Total thickness of the ream}}{\text{Number of sheets}} \][/tex]
[tex]\[ \text{Thickness per sheet} = \frac{2 \, \text{inches}}{500} \][/tex]
[tex]\[ \text{Thickness per sheet} = 0.004 \, \text{inches} \][/tex]
Therefore, each piece of paper is approximately 0.004 inches thick.
### Part a: Explanation
Diego guessed that each piece of paper is 0.015 inches thick. To verify if this is a reasonable estimate, we can consider a typical ream of paper, which contains 500 sheets.
If each sheet were 0.015 inches thick, a ream of paper would be:
[tex]\[ \text{Total thickness} = 0.015 \, \text{inches/sheet} \times 500 \, \text{sheets} = 7.5 \, \text{inches} \][/tex]
This total of 7.5 inches is unrealistic because a ream of paper is typically around 2 inches thick. Therefore, Diego's estimate of 0.015 inches per sheet is much too high.
### Part b: Calculate the Thickness of Each Piece of Paper
Let's determine the actual thickness per sheet, given that we know a typical ream is about 2 inches thick and contains 500 sheets.
Given:
- Total thickness of the ream = 2 inches
- Number of sheets in the ream = 500
To find the thickness of each sheet, we divide the total thickness by the number of sheets:
[tex]\[ \text{Thickness per sheet} = \frac{\text{Total thickness of the ream}}{\text{Number of sheets}} \][/tex]
[tex]\[ \text{Thickness per sheet} = \frac{2 \, \text{inches}}{500} \][/tex]
[tex]\[ \text{Thickness per sheet} = 0.004 \, \text{inches} \][/tex]
Therefore, each piece of paper is approximately 0.004 inches thick.
Thanks for taking the time to read a Diego guesses that each piece of paper is 0 015 inches thick Explain how you know that Diego s answer is not correct b. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
