Simplify 6(3q−4)+18−12q−7(4q+5) .(1 point) 18q- isnt the answe gng
To simplify the expression 6(3q−4)+18−12q−7(4q+5), we can start by distributing the multiplication:
6(3q−4) + 18 − 12q − 7(4q+5)
= 18q - 24 + 18 - 12q - 28q - 35
Next, we can combine like terms:
(18q - 12q - 28q) + (-24 + 18 - 35)
= -22q - 41
So, the simplified expression is -22q - 41.
Simplify −5+3/4(8h+12)−10h .(1 point)
To simplify the expression −5 + 3/4(8h + 12) − 10h, we can start by distributing the multiplication:
= -5 + (3/4 * 8h) + (3/4 * 12) - 10h
= -5 + (3 * 2h) + (3 * 3) - 10h
= -5 + 6h + 9 - 10h
Next, we can combine like terms:
= (-5 + 9) + (6h - 10h)
= 4 - 4h
So, the simplified expression is 4 - 4h.
Simplify −5+3/4(8h+12)−10h .(1 point) it isnt 4 - 4h gng
Apologies for the mistake in my previous response. Let's simplify the expression correctly.
To simplify −5 + (3/4)(8h + 12) − 10h, we can start by distributing the multiplication:
= -5 + (3/4)(8h) + (3/4)(12) - 10h
= -5 + (3/4)(8h) + (3/4)(12) - 10h
= -5 + (24/4)h + (36/4) - 10h
Simplifying further:
= -5 + 6h + 9 - 10h
Next, we can combine like terms:
= -5 + 9 + 6h - 10h
= 4 - 4h
So, the simplified expression is 4 - 4h.
Simplify −5+34(8h+12)−10h .(1 point)
To simplify −5 + 3/4(8h + 12) − 10h, let's first simplify the multiplication inside the parentheses and then simplify the addition and subtraction:
−5 + 3/4(8h + 12) − 10h
= −5 + 3/4(8h) + 3/4(12) − 10h
= −5 + 6h + 9 − 10h
Next, we can combine like terms:
= (6h - 10h) - 5 + 9
= -4h - 5 + 9
= -4h + 4
So, the simplified expression is -4h + 4.
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You're welcome! If you have any more questions, feel free to ask.
Factor 24n−32 using the GCF.(1 point)
To factor 24n - 32 using the greatest common factor (GCF), we first find the GCF of the two terms, which in this case is 8. Then we divide each term by 8:
24n/8 - 32/8 = 3n - 4
So, the factored form of 24n - 32 using the GCF is 8(3n - 4).
Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x?(1 point)
Responses
14(2x+5+11x)
14 left parenthesis 2 x plus 5 plus 11 x right parenthesis
23−7x−4+11x
23 minus 7 x minus 4 plus 11 x
14(2x+5)+11x
14 left parenthesis 2 x plus 5 right parenthesis plus 11 x
23−18x−45+11x
The correct answer that applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x is:
23 - 18x - 45 + 11x
Simplify −4(7b+3)+24b−8.(1 point)
Responses
−4b+20
4b−20
4b+20
−4b−20
To simplify −4(7b+3)+24b−8, let's start by distributing the multiplication:
= (-4)(7b) + (-4)(3) + 24b - 8
= -28b - 12 + 24b - 8
Next, combine like terms:
= -28b + 24b - 12 - 8
= -4b - 20
So, the simplified expression is -4b - 20.
Simplify 2(3v+9)−14−6(−5v−4).(1 point)
Responses
106v+98
−6v−13
−24v−20
36v+28
To simplify 2(3v+9)−14−6(−5v−4), we can start by distributing the multiplication:
= 2 * 3v + 2 * 9 - 14 - 6 * (-5v) - 6 * (-4)
= 6v + 18 - 14 + 30v + 24
Next, combine like terms:
= 6v + 30v + 18 + 24 - 14
= 36v + 28
So, the simplified expression is 36v + 28.
−15+45(15e−10)−10e.(1 point)
2e+23
−2e−23
−2e+23
2e−23
To simplify −15 + 45(15e−10)−10e, we can start by distributing the multiplication:
= -15 + 45 * 15e - 45 * 10 - 10e
= -15 + 675e - 450 - 10e
Next, combine like terms:
= -15 - 450 + 675e - 10e
= -465 + 665e
So, the simplified expression is 665e - 465.
−15+45(15e−10)−10e .(1 point)
Responses
2e+23
−2e−23
−2e+23
2e−23
Apologies for the incorrect response in my previous answer. Let's simplify the expression correctly.
To simplify −15 + 45(15e−10)−10e:
First, simplify the multiplication inside parentheses:
= -15 + 45 * 15e - 45 * 10 - 10e
= -15 + 675e - 450 - 10e
Next, combine like terms:
= -15 - 450 + 675e - 10e
= -465 + 665e - 10e
= -465 + 655e
So, the simplified expression is 655e - 465.
−15+45(15e−10)−10e.(1 point)
Responses
A.2e+23
B.−2e−23
C.−2e+23
D.2e−23
To simplify the expression −15 + 45(15e−10)−10e, let's start by distributing the multiplication:
−15 + 45(15e−10)−10e = -15 + 45 * 15e - 45 * 10 - 10e
Simplifying further:
= -15 + 675e - 450 - 10e
Next, combine like terms:
= 675e - 10e - 15 - 450
= 665e - 465
So, the simplified expression is 665e - 465.
Therefore, the given options A, B, C, and D do not match the simplified expression 665e - 465.
It isnmt 665e - 465 A B C OR D
Apologies for the confusion. Let's reevaluate the simplified expression.
To simplify −15 + 45(15e−10)−10e, let's start by distributing the multiplication:
−15 + 45(15e−10)−10e = −15 + 45 * 15e − 45 * 10 − 10e
Simplifying further:
= −15 + 675e − 450 − 10e
Next, combine like terms:
= 665e − 465 − 10e
Combining further:
= 655e − 465
So, the correct simplified expression is 655e - 465.
Therefore, none of the given options A, B, C, or D matches the simplified expression 655e - 465.
Factor 48y+36z using the GCF.(1 point)
Responses
4(12y+9z)
6(8y+6z)
16(3y+2z)
12(4y+3z)
To factor 48y + 36z using the greatest common factor (GCF), we first find the GCF of the two terms, which in this case is 12. Then we divide each term by 12:
48y / 12 + 36z / 12 = 4y + 3z
So, the factored form of 48y + 36z using the GCF is 12(4y + 3z).
Therefore, the correct response is 12(4y+3z).