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balu736 [363]
3 years ago
7

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

Mathematics
2 answers:
Mice21 [21]3 years ago
8 0

Consider the given equation

18-2x = 4x

We have to determine the reasons to the given steps for finding the solution to the given equation.

18-2x+2x = 4x+2x

The reason to the above step is "Additive property of Equality", which states that if the same amount is added to both sides of an equation, then the equality is still true.

18=6x

\frac{18}{6}=\frac{6x}{6}

x=3

The reason to the above step is "Division property of Equality",which states that if we divide both sides of an equation by the same nonzero number, the equation remains equal.

alexandr1967 [171]3 years ago
3 0
18 - 2x = 4x ....addition property....add 2x to both sides
18 = 6x .... division property...divide both sides by 6
3 = x
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omeli [17]
<h3>Answer:  Independent </h3>

=======================================================

Reason:

The first marble was replaced, so the original state of the bag hasn't changed overall. The probability isn't changed either. We can treat the second selection entirely independent of the first one.

If the first marble wasn't replaced, then the marble count of course goes down by 1. That affects the probability of the second selection and we'd consider these events to be dependent.

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An example:

Consider a bag with 4 red marbles and 6 green ones. The chances of picking red on the first try are 4/10 = 2/5. The chances of picking red again would be 2/5 assuming we put that red marble back. We can see the second selection is independent of the first.

If the marble wasn't put back, then the chances of picking a 2nd red marble would be 3/9 = 1/3. I subtracted 1 from the numerator and denominator of 4/10 to get to 3/9. In this case, the 2nd selection's probability depends on the first event (whether red was picked or not).

4 0
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6 0
3 years ago
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ra1l [238]
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if you repeat the perpendicular line segment construction twice using paper folding, you can construct:
ehidna [41]

Answer:

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Therefore the correct answer is  option C.

The mid point of the line segment.

6 0
3 years ago
Read 2 more answers
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