Which of the following answers apply to distribute property of multiplication over addition correctly for simplifying 23-9(2×+5)+11×
23-7×-4+11×
14(2×+5+11×)
23-18×-45+11×
14(2×+5)11×
The correct answer is:
23-7×-4+11×
Simplify-4(7b+3)+24b-8
To simplify -4(7b+3)+24b-8, we can distribute the -4 to the terms inside the parentheses:
-4(7b+3) = -4(7b) + (-4)(3) = -28b - 12
So, the expression becomes:
-28b - 12 + 24b - 8
Combining like terms:
(-28b + 24b) + (-12 - 8) = -4b - 20
Therefore, the simplified expression is -4b - 20.
Simplify 2(3v+9)-14-6(-5v-4)
To simplify 2(3v+9)-14-6(-5v-4), start by distributing the 2 to the terms inside the parentheses:
2(3v+9) = 6v + 18
Next, distribute the -6 to the terms inside the parentheses (which changes the signs):
-6(-5v-4) = 30v + 24
Now, substitute these simplified expressions back into the original equation:
6v + 18 - 14 - (30v + 24)
Combine like terms:
6v - 30v + 18 - 14 + 24
Simplify:
-24v + 28
Therefore, the simplified expression is -24v + 28.
Is the answer-24v-20
No, the correct answer is -24v + 28. There was a mistake in the original response. I apologize for the confusion.
-15 + 4/5 (15e - 10)-10e
To simplify -15 + 4/5 (15e - 10) - 10e, we start by distributing the 4/5 to the terms inside the parentheses:
4/5 * 15e = 60/5 * e = 12e
4/5 * -10 = -40/5 = -8
So, the expression becomes:
-15 + 12e - 8 - 10e
Next, combine like terms:
(12e - 10e) + (-15 - 8) = 2e - 23
Therefore, the simplified expression is 2e - 23.