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which of the following answers applies the distributive property of multiplication over addition correctly for simplifying 23 - 9 (2x + 5) + 11x
To apply the distributive property of multiplication over addition correctly in the given expression, we need to distribute the term outside the parentheses to each term inside the parentheses.
The correct application would be:
23 - 9 * 2x - 9 * 5 + 11x.
Simplifying this expression further, we have:
23 - 18x - 45 + 11x.
Combining like terms, we get:
-7x - 22.
Therefore, the correct answer is -7x - 22.
The correct application would be:
23 - 9 * 2x - 9 * 5 + 11x.
Simplifying this expression further, we have:
23 - 18x - 45 + 11x.
Combining like terms, we get:
-7x - 22.
Therefore, the correct answer is -7x - 22.
-4 (7b + 3) + 24b - 8
To apply the distributive property of multiplication over addition correctly in this expression, we need to distribute the -4 to every term inside the parentheses.
The correct application would be:
-4 * 7b + (-4) * 3 + 24b - 8.
Simplifying this expression further, we have:
-28b - 12 + 24b - 8.
Combining like terms, we get:
-4b - 20.
Therefore, the correct answer is -4b - 20.
The correct application would be:
-4 * 7b + (-4) * 3 + 24b - 8.
Simplifying this expression further, we have:
-28b - 12 + 24b - 8.
Combining like terms, we get:
-4b - 20.
Therefore, the correct answer is -4b - 20.
2 (3v + 9) - 14 - 6 (- 5v - 4)
To apply the distributive property of multiplication over addition correctly in this expression, we need to distribute both numbers outside the parentheses to every term inside the parentheses.
The correct application would be:
2 * 3v + 2 * 9 - 14 - 6 * (-5v) - 6 * (-4).
Simplifying this expression further, we have:
6v + 18 - 14 + 30v + 24.
Combining like terms, we get:
36v + 28.
Therefore, the correct answer is 36v + 28.
The correct application would be:
2 * 3v + 2 * 9 - 14 - 6 * (-5v) - 6 * (-4).
Simplifying this expression further, we have:
6v + 18 - 14 + 30v + 24.
Combining like terms, we get:
36v + 28.
Therefore, the correct answer is 36v + 28.
-15 + 4/5 (15e - 10) - 10e
To apply the distributive property of multiplication over addition correctly in this expression, we need to distribute 4/5 to every term inside the parentheses.
The correct application would be:
-15 + 4/5 * 15e - 4/5 * 10 - 10e.
Simplifying this expression further, we have:
-15 + (4/5) * 15e - (4/5) * 10 - 10e.
Multiplying fractions, we get:
-15 + (12e/5) - (8/5) - 10e.
Combining like terms, we get:
12e/5 - 10e - 23.
Therefore, the correct answer is 12e/5 - 10e - 23.
The correct application would be:
-15 + 4/5 * 15e - 4/5 * 10 - 10e.
Simplifying this expression further, we have:
-15 + (4/5) * 15e - (4/5) * 10 - 10e.
Multiplying fractions, we get:
-15 + (12e/5) - (8/5) - 10e.
Combining like terms, we get:
12e/5 - 10e - 23.
Therefore, the correct answer is 12e/5 - 10e - 23.
no
Apologies for any confusion. Let's go through the expression again.
The given expression is: -15 + 4/5 (15e - 10) - 10e.
To apply the distributive property of multiplication over addition correctly, we need to distribute 4/5 to every term inside the parentheses.
The correct application would be:
-15 + (4/5) * 15e - (4/5) * 10 - 10e.
Simplifying this, we have:
-15 + (60e/5) - (40/5) - 10e.
Further simplifying:
-15 + 12e - 8 - 10e.
Next, we combine like terms:
(12e - 10e) + (-15 - 8).
Simplifying once more:
2e - 23.
Therefore, the correct answer is 2e - 23.
The given expression is: -15 + 4/5 (15e - 10) - 10e.
To apply the distributive property of multiplication over addition correctly, we need to distribute 4/5 to every term inside the parentheses.
The correct application would be:
-15 + (4/5) * 15e - (4/5) * 10 - 10e.
Simplifying this, we have:
-15 + (60e/5) - (40/5) - 10e.
Further simplifying:
-15 + 12e - 8 - 10e.
Next, we combine like terms:
(12e - 10e) + (-15 - 8).
Simplifying once more:
2e - 23.
Therefore, the correct answer is 2e - 23.
factor 48y + 36z using the gcf
To factor out the greatest common factor (GCF) from the expression 48y + 36z, we need to find the largest number that can divide both coefficients, 48 and 36.
First, let's find the GCF of 48 and 36.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The largest number that divides both 48 and 36 is 12.
Now, we can factor out 12 from each term of the expression:
12(4y + 3z).
Therefore, the factored form of 48y + 36z using the GCF is 12(4y + 3z).
First, let's find the GCF of 48 and 36.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The largest number that divides both 48 and 36 is 12.
Now, we can factor out 12 from each term of the expression:
12(4y + 3z).
Therefore, the factored form of 48y + 36z using the GCF is 12(4y + 3z).
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i got them all correct
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thank you
You're welcome! I'm glad I could help. If you have any more questions in the future, feel free to ask. Good luck with everything!