Use the properties of operations to add 9(k+13)+10(12k−1)
14k-7
14k+13
19 1/2k-2/3
14k- 2/3
To simplify 9(k+13)+10(12k−1), we can distribute the coefficients to each term inside the parentheses:
9(k+13) + 10(12k-1)
= 9k + 9(13) + 10(12k) + 10(-1)
= 9k + 117 + 120k - 10
= 9k + 120k + 117 - 10
= (9k + 120k) + (117 - 10)
= 129k + 107
So, the simplified expression is 129k + 107.
thats not an options
To add 9(k+13) + 10(12k-1), we will use the distributive property of multiplication over addition/subtraction:
First, distribute the 9 to both terms inside the parentheses:
9(k+13) = 9k + 9(13) = 9k + 117
Next, distribute the 10 to both terms inside the parentheses:
10(12k-1) = 10(12k) + 10(-1) = 120k - 10
Now, combining like terms:
9k + 117 + 120k - 10
Combine the "k" terms:
9k + 120k = (9+120)k = 129k
Combine the constants:
117 - 10 = 107
Final expression:
9(k+13) + 10(12k-1) = 129k + 107
To add 9(k + 13) + 10(12k - 1), we can simplify the expression step-by-step using the properties of operations.
1. Distribute the 9 and 10:
9(k + 13) + 10(12k - 1) = 9k + 117 + 120k - 10
2. Combine like terms:
9k + 117 + 120k - 10 = (9k + 120k) + (117 - 10) = 129k + 107
Therefore, 9(k + 13) + 10(12k - 1) simplifies to 129k + 107.
If you would like to verify this result, substitute a value for k and evaluate both the original expression and the simplified expression to see if they yield the same result.
My apologies for the confusion. Let's simplify the expression further:
9(k+13) + 10(12k-1)
= 9k + 9(13) + 10(12k) + 10(-1)
= 9k + 117 + 120k - 10
= 9k + 120k + 107
= (9k + 120k) + 107
= 129k + 107
So the simplified expression is 129k + 107.