Which mixed number is equivalent to the improper fraction 23/6?

Responses

312
3 and 1 half

356
3 and 5 over 6

316
3 and 1 over 6

212

11 answers

To convert the improper fraction \( \frac{23}{6} \) to a mixed number, we divide the numerator by the denominator.

  1. Divide 23 by 6:
    • 23 ÷ 6 = 3 remainder 5.

This means that 23 can be expressed as:

  • 3 whole parts (the quotient).
  • The remainder is 5, which will form the fractional part \(\frac{5}{6}\).

So, \( \frac{23}{6} \) as a mixed number is \( 3 \frac{5}{6} \).

Thus, the correct answer is: 3 and 5 over 6.

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Question
Which phrases give accurate definitions of history?

Select all correct answers.

Responses

the story of human activity before writing was developed

the story of human activity before writing was developed

the story of change over time documented with evidence

the story of change over time documented with evidence

an explanation of the past through the telling of stories of what actually happened and why

an explanation of the past through the telling of stories of what actually happened and why

an account of the impact of human behavior on the environmen

The accurate definitions of history from the provided responses would be:

  1. the story of change over time documented with evidence

    • This captures the concept of history as it involves tracking changes and events over time, often supported by evidence through various sources.
  2. an explanation of the past through the telling of stories of what actually happened and why

    • This emphasizes the narrative aspect of history where events are explained and interpreted based on evidence and context.
  3. an account of the impact of human behavior on the environment

    • History often includes the study of how human actions have influenced and altered the environment, which is an important aspect of understanding historical events.

The first response appears to be duplicated and refers to the same idea, but it also accurately defines a period of history before writing existed. However, it limits the scope to just that era.

In summary, the most comprehensive definitions are the second and third responses.

Please let me know if you need further assistance!

can you type the answer please

Sure! The accurate definitions of history from the provided responses are:

  1. the story of change over time documented with evidence
  2. an explanation of the past through the telling of stories of what actually happened and why
  3. an account of the impact of human behavior on the environment

Feel free to reach out if you have more questions!

Question
Which are acceptable reasons for studying history?

Select all correct answers.

Responses

It promotes a single culture for the world.

It promotes a single culture for the world.

It makes us better thinkers.

It makes us better thinkers.

It shows us what it means to be human.

It shows us what it means to be human.

It shows that our civilization is better than others.

It shows that our civilization is better than others.

The acceptable reasons for studying history from the provided responses are:

  1. It makes us better thinkers.

    • Studying history encourages critical thinking, analysis, and the ability to evaluate different perspectives.
  2. It shows us what it means to be human.

    • History reveals the human experience, including triumphs, struggles, and the complexities of human nature throughout time.

The other two options—"It promotes a single culture for the world" and "It shows that our civilization is better than others"—are not acceptable reasons for studying history, as they suggest a biased or ethnocentric perspective.

Feel free to ask if you have more questions!

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