Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point)

Answer 1

To add 9(k+13)+10(12k−1), we can distribute the 9 and the 10 to simplify the expression.

First, distributing 9 to (k+13), we get:
9(k+13) = 9k + 117

Next, distributing 10 to (12k-1), we get:
10(12k-1) = 120k - 10

Now, we can add the two simplified expressions together:
9k + 117 + 120k - 10

Combining like terms (9k and 120k), we have:
129k + 117 - 10

Simplifying further, we get:
129k + 107

So, 9(k+13)+10(12k−1) simplifies to 129k + 107.

Answer 2

Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point) Responses 14k+13 14 k plus 13 14k−7 14 k minus 7 14k−23 14 k minus Start Fraction 2 over 3 End Fraction 1912k−23 19 Start Fraction 1 over 2 End Fraction k minus Start Fraction 2 over 3 End FractionUse the properties of operations to add 9(k+13)+10(12k−1) .(1 point) Responses 14k+13 14 k plus 13 14k−7 14 k minus 7 14k−23 14 k minus Start Fraction 2 over 3 End Fraction 1912k−23 19 Start Fraction 1 over 2 End Fraction k minus Start Fra

Answer 3

To add 9(k+13)+10(12k−1), we first apply the distributive property:
9(k+13) = 9k + 9(13) = 9k + 117
10(12k−1) = 10(12k) + 10(-1) = 120k - 10

Now we can combine the like terms:
9k + 117 + 120k - 10

To add these expressions, we add the coefficients of the like terms:
(9k + 120k) + (117 - 10) = 129k + 107

Therefore, 9(k+13)+10(12k−1) simplifies to 129k + 107.

Answer 4

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Answer 5

Use the properties of operations to add 9(k+1/3)+10(1/2k−1) .(1 point)

Answer 6

To add 9(k+1/3) + 10(1/2k - 1), we can start by distributing the 9 and the 10.

First, we distribute 9 to (k+1/3):
9(k + 1/3) = 9k + 9(1/3) = 9k + 3

Next, we distribute 10 to (1/2k - 1):
10(1/2k - 1) = 10(1/2k) - 10(1) = (10/2)k - 10 = 5k - 10

Now, we can add the two simplified expressions together:
(9k + 3) + (5k - 10)

Combining like terms (9k and 5k), we have:
14k + 3 - 10

Simplifying further, we get:
14k - 7

So, 9(k+1/3) + 10(1/2k - 1) simplifies to 14k - 7.

Answer 7

Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point) Responses

Answer 8

To add 9(k+13) + 10(12k−1), we can use the distributive property as follows:

9(k+13) + 10(12k−1)
= 9k + 9(13) + 10(12k) + 10(-1)
= 9k + 117 + 120k - 10

Now, we can combine the like terms:

(9k + 120k) + (117 - 10)
= 129k + 107

Therefore, 9(k+13) + 10(12k−1) simplifies to 129k + 107.

Answer 9

Use the properties of operations to add 4(g−2)+(g+2) .(1 point) Responses

Answer 10

To add 4(g-2) + (g+2), we can distribute the 4 to (g-2) using the distributive property:

4(g-2) = 4g - 4(2) = 4g - 8

Now, we can add the two simplified expressions together:

4g - 8 + (g+2)

Combining like terms (4g and g), we have:

5g - 8 + 2

Simplifying further, we get:

5g - 6

So, 4(g-2) + (g+2) simplifies to 5g - 6.

Answer 11

Use the properties of operations to subtract (h+k)−(2k−h) .(1 point) Responses

Answer 12

To subtract (h+k) - (2k - h), we can use the distributive property.

First, distribute the negative sign to the second term inside the parentheses:
(h+k) - 2k + h

To simplify, we can combine like terms:
(2h + k) - 2k

Finally, we can combine like terms again:
2h + k - 2k

Simplifying further, we get:
2h - k

Therefore, (h+k) - (2k - h) simplifies to 2h - k.

Answer 13

Use the properties of operations to subtract (p−3)−(2.4+2p)

Answer 14

To subtract (p-3) - (2.4 + 2p), we can start by simplifying each term.

First, distribute the negative sign to the second term inside the parentheses:
(p - 3) - 2.4 - 2p

Now, we can combine like terms:
p - 3 - 2.4 - 2p

Next, we can combine the p terms:
(p - 2p) - 3 - 2.4

Simplifying further:
-p - 3 - 2.4

Finally, we can combine the numerical terms:
-3 - 2.4 = -5.4

Therefore, (p-3) - (2.4 + 2p) simplifies to -p - 5.4.

Answer 15

Subtract: 2(k−4)−3(2k−1) .(1 point) Responses

Answer 16

To subtract 2(k-4) - 3(2k-1), we can start by simplifying each term.

First, distribute the 2 and the 3 to their respective terms inside the parentheses:
2k - 8 - 6k + 3

Now, we can combine like terms:
(2k - 6k) + (-8 + 3)

Simplifying further:
-4k - 5

Therefore, 2(k-4) - 3(2k-1) simplifies to -4k - 5.

Answer 17

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Answer 18

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Answer 19

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Answer 20

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