Use the properties of operations to add 9(k+1/3)+10(1/2k−1).
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 + 5k - 10
= (9k + 5k) + (3 - 10)
= 14k - 7
So, the simplified expression is 14k - 7.
To add 9(k + 1/3) + 10(1/2k - 1), we will use the distributive property of multiplication over addition.
Step 1: Distribute the 9 to both terms inside the parentheses:
9(k + 1/3) = 9k + 9/3 = 9k + 3
Step 2: Distribute the 10 to both terms inside the parentheses:
10(1/2k - 1) = 10/2k - 10 = 5k - 10
Step 3: Now, we can add the simplified expressions:
9k + 3 + 5k - 10
Step 4: Combine like terms:
(9k + 5k) + (3 - 10) = 14k - 7
Therefore, the simplified expression for 9(k + 1/3) + 10(1/2k - 1) is 14k - 7.
To add the expression 9(k + 1/3) + 10(1/2k - 1), we can distribute the coefficients 9 and 10 to each term inside the parentheses.
First, distribute 9 to (k + 1/3):
9(k + 1/3) = 9k + 9/3 = 9k + 3
Next, distribute 10 to (1/2k - 1):
10(1/2k - 1) = 10/2k - 10 = 5k - 10
Now we have:
9k + 3 + 5k - 10
To simplify further, combine like terms.
Combine the terms with the variable k:
9k + 5k = 14k
Combine the constant terms:
3 - 10 = -7
Now the expression becomes:
14k - 7
So the simplified expression is 14k - 7.