Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which of the following expressions are equivalent to [tex]\(-8\)[/tex]?

I. [tex]\(\frac{8}{-1}\)[/tex]

II. [tex]\(\frac{-40}{5}\)[/tex]

III. [tex]\(\frac{-24}{-3}\)[/tex]

IV. [tex]\(\frac{16}{-2}\)[/tex]

A. All of them
B. II and III
C. I, II, and IV
D. III only

Sagot :

GinnyAnswer
To determine which of the given expressions are equivalent to [tex]\(-8\)[/tex], we need to evaluate each expression step by step.

Expression I: [tex]\(\frac{8}{-1}\)[/tex]
[tex]\[ \frac{8}{-1} = -8.0 \][/tex]
This expression is equivalent to [tex]\(-8\)[/tex].

Expression II: [tex]\(\frac{-40}{5}\)[/tex]
[tex]\[ \frac{-40}{5} = -8.0 \][/tex]
This expression is also equivalent to [tex]\(-8\)[/tex].

Expression III: [tex]\(\frac{-24}{-3}\)[/tex]
[tex]\[ \frac{-24}{-3} = 8.0 \][/tex]
This expression simplifies to [tex]\(8\)[/tex], which is not equivalent to [tex]\(-8\)[/tex].

Expression IV: [tex]\(\frac{16}{-2}\)[/tex]
[tex]\[ \frac{16}{-2} = -8.0 \][/tex]
This expression simplifies to [tex]\(-8\)[/tex] and is equivalent.

To summarize:
- [tex]\(\frac{8}{-1}\)[/tex] is equivalent to -8
- [tex]\(\frac{-40}{5}\)[/tex] is equivalent to -8
- [tex]\(\frac{-24}{-3}\)[/tex] is not equivalent to -8
- [tex]\(\frac{16}{-2}\)[/tex] is equivalent to -8

Thus, the correct answer is:

I, II, and IV
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.