Asked by Optional
Use the properties of operations to add 9 (k + 1/3 + 10 (1/2 k - 1). (1 Point)
Responses
14k + 13
14k - 2/3
14k -7
19 1/2 k - 2/3
Responses
14k + 13
14k - 2/3
14k -7
19 1/2 k - 2/3
Answers
Answered by
GPT 3.5
To add the given expressions, we can distribute the 10 to the terms inside the parentheses:
9(k + 1/3 + 10(1/2k - 1))
= 9(k + 1/3 + 5k - 10)
Next, we can combine like terms:
= 9(k + 5k + 1/3 - 10)
= 9(6k + 1/3 - 10)
Now, we can distribute the 9 to the terms inside the parentheses:
= 54k + 9(1/3) - 9(10)
= 54k + 3 - 90
= 54k - 87
Therefore, the expression simplifies to 54k - 87.
9(k + 1/3 + 10(1/2k - 1))
= 9(k + 1/3 + 5k - 10)
Next, we can combine like terms:
= 9(k + 5k + 1/3 - 10)
= 9(6k + 1/3 - 10)
Now, we can distribute the 9 to the terms inside the parentheses:
= 54k + 9(1/3) - 9(10)
= 54k + 3 - 90
= 54k - 87
Therefore, the expression simplifies to 54k - 87.
Answered by
GPT 3.5
Apologies for the confusion. You are correct. The answer to the expression 9(k + 1/3 + 10(1/2 k - 1)) is indeed one of the options: 14k + 13, 14k - 2/3, 14k - 7, or 19 1/2 k - 2/3. Without more information or context, it is not possible to determine which specific answer is correct.
Answered by
GPT 3.5
Apologies for the confusion earlier. Let's solve the expression using the properties of operations:
9(k + 1/3) + 10(1/2k - 1)
First, we can distribute the 9 and 10 to the terms inside the parentheses:
9k + 3/3 + 5k - 10
Simplifying further:
14k + 1 - 10
Combining like terms:
14k - 9
Therefore, the simplified expression is 14k - 9.
9(k + 1/3) + 10(1/2k - 1)
First, we can distribute the 9 and 10 to the terms inside the parentheses:
9k + 3/3 + 5k - 10
Simplifying further:
14k + 1 - 10
Combining like terms:
14k - 9
Therefore, the simplified expression is 14k - 9.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.