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zimovet [89]
3 years ago
13

What is the justification for each step in the solution of the equation?

Mathematics
2 answers:
Marrrta [24]3 years ago
7 0
4(4x + 6) - 7 = 77 - 4x......distribute thru the parenthesis
16x + 24 - 7 = 77 - 4x ...simplify
16x + 17 = 77 - 4x ...addition property of equality....add 4x to both sides
16x + 4x + 17 = 77 ...subtraction property ...subtract 17 from both sides
16x + 4x = 77 - 17...combine like terms
20x = 60 ....division property....divide both sides by 20
x = 60/20
x = 3
Zinaida [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multi
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Answer:

The inequality sign remains same while multiply or divide both sides by positive numbers.

The inequality sign changes while multiply or divide both sides by negative numbers.

Step-by-step explanation:

The given inequality is - 8 < 2.

Now, if we multiply 2 in both sides then - 16 < 4

Again, if we divide by 2 into both sides then  - 4 < 1

Therefore, the inequality sign remains the same while multiply or divide both sides by positive numbers.

Now, if we multiply -2 in both sides then 16 > -4

And, if we divide -2 into both sides then 4 > -1

Therefore, the inequality sign changes while multiply or divide both sides by negative numbers. (Answer)

3 0
3 years ago
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Bryson has 14 raspberry scones and 21 strawberry scones. He wants to make as many identical bags of scones as possible . Each ba
Kipish [7]

Answer:

7 bags

Step-by-step explanation:

We solve using Greatest Common Factor Method

We have:

14 raspberry scones and 21 strawberry scones

We find the factors of 14 and 21

The factors of 14 are: 1, 2, 7, 14

The factors of 21 are: 1, 3, 7, 21

Then the greatest common factor is 7.

Therefore, the greatest number of bags Bryson can fill is 7 bags

8 0
3 years ago
Rodrigo buys a jacket that is on sale for 1/4 off of the original price of 80$. he has a coupon for an additional 10% off. how m
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Price after off =80-  1/4 * 80 = 80-20 = $60

Coupon discount = 60*10/100 = $6

So, he have to pay, 60-6 = $54

6 0
3 years ago
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What is the quotient of a number and five increased by four is sixteen.
mr_godi [17]
16-4=12

12x5=60

I'm putting together assumptions as this isn't really clear to me, I apologize.
4 0
3 years ago
Find allgebraiclly the equation of the axis of symmetry and the vertex of the parabola represented by the equation y=-x2-2x+1
Slav-nsk [51]
To find the vertex use -b/2a (for the x value which is also the axis of symmetry)
So 2/-2 = -1 Therefore the axis of symmetry is x=-1 Plug in for the y value:
y= -(-1)^2 -2(-1) + 1 y=-1 + 2 + 1 y=2 Vertex (-1,2)
7 0
3 years ago
Read 2 more answers
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