perations to add 9(k+1/3)+10(1/2k−1) .(1 point) Responses 19 1/2k−23 19 Start Fraction 1 over 2 End Fraction k minus Start Fraction 2 over 3 End Fraction 14k−7 14k minus 7 14k+13 14 k plus 13 14k−2/3
To simplify the expression, we can distribute the coefficients:
9(k + 1/3) + 10(1/2k - 1)
= 9k + 9(1/3) + 10(1/2k) - 10(1)
= 9k + 3 + 5/k - 10
= 9k + 5/k - 7
Therefore, the simplified expression is 9k + 5/k - 7.
wrong, the answers are 19 1/2k−23, 14k-7, 14k+13, and 14k-2/3
Apologies for the mistake in the previous response. Let's try solving the expression correctly:
9(k + 1/3) + 10(1/2k - 1)
First, distribute the coefficients:
= 9k + 3 + 10/2k - 10
Simplify the fractions:
= 9k + 3 + 5/k - 10
Combine like terms:
= 9k - 7 + 5/k
The final simplified expression is 9k - 7 + 5/k.
To simplify the expression 9(k+1/3) + 10(1/2k−1), we will follow the order of operations and combine like terms.
Step 1: Distribute the values inside the parentheses.
9(k) + 9(1/3) + 10(1/2k) - 10(1)
Step 2: Simplify each term.
9k + 3 + 5/k - 10
Step 3: Combine like terms.
9k + 5/k - 7
So, the simplified expression is 9k + 5/k - 7.
To solve the expression 9(k+1/3) + 10(1/2k-1), we can simplify it step by step using the order of operations (PEMDAS/BODMAS):
1. Distribute the 9 and 10 to the terms inside the parentheses:
9(k+1/3) + 10(1/2k-1)
= 9k + 9(1/3) + 10(1/2k) - 10(1)
= 9k + 3 + 5k - 10
2. Combine like terms:
= (9k + 5k) + (3 - 10)
= 14k - 7
Therefore, the simplified expression is 14k - 7.