We appreciate your visit to In which inequality does tex n tex represent the possible number of boxes needed to ship 360 sweatshirts to a customer A tex 24 leq. 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 :
Certainly! To determine which inequality shows the possible number of boxes needed to ship 360 sweatshirts, you'll want to follow these steps:
1. Understand the Problem:
- A screen printer can pack up to 24 sweatshirts into one box.
- You need to ship a total of 360 sweatshirts.
2. Set Up the Inequality:
- If each box can hold a maximum of 24 sweatshirts, you want to find the number of boxes, denoted by [tex]\( n \)[/tex], needed to pack all 360 sweatshirts.
- The condition should ensure all 360 sweatshirts fit in these boxes, so you write the inequality as:
[tex]\[
24n \geq 360
\][/tex]
3. Solve the Inequality:
- To find the minimum number of boxes needed, solve the inequality:
[tex]\[
24n \geq 360
\][/tex]
- Divide both sides by 24 to solve for [tex]\( n \)[/tex]:
[tex]\[
n \geq \frac{360}{24}
\][/tex]
- Perform the division:
[tex]\[
n \geq 15
\][/tex]
- This means at least 15 boxes are needed to pack all 360 sweatshirts.
4. Conclusion:
- The inequality that correctly represents the situation is:
[tex]\[
\boxed{D. \, 24n \geq 360}
\][/tex]
Therefore, the minimum number of boxes required is 15, and the answer is option D.
1. Understand the Problem:
- A screen printer can pack up to 24 sweatshirts into one box.
- You need to ship a total of 360 sweatshirts.
2. Set Up the Inequality:
- If each box can hold a maximum of 24 sweatshirts, you want to find the number of boxes, denoted by [tex]\( n \)[/tex], needed to pack all 360 sweatshirts.
- The condition should ensure all 360 sweatshirts fit in these boxes, so you write the inequality as:
[tex]\[
24n \geq 360
\][/tex]
3. Solve the Inequality:
- To find the minimum number of boxes needed, solve the inequality:
[tex]\[
24n \geq 360
\][/tex]
- Divide both sides by 24 to solve for [tex]\( n \)[/tex]:
[tex]\[
n \geq \frac{360}{24}
\][/tex]
- Perform the division:
[tex]\[
n \geq 15
\][/tex]
- This means at least 15 boxes are needed to pack all 360 sweatshirts.
4. Conclusion:
- The inequality that correctly represents the situation is:
[tex]\[
\boxed{D. \, 24n \geq 360}
\][/tex]
Therefore, the minimum number of boxes required is 15, and the answer is option D.
Thanks for taking the time to read In which inequality does tex n tex represent the possible number of boxes needed to ship 360 sweatshirts to a customer A tex 24 leq. 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
