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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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Please help me! Giving brainliest!
oksano4ka [1.4K]

Using it's formula, the surface area of the figure is:

A. S=2332 m²

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

S = 2(lw + lh + wh)

In this problem, the dimensions are:

35m, 9m, 16m

Hence the surface area of the rectangular prism is:

S = 2(35 x 9 + 35 x 16 + 16 x 9) = 2038 m².

<h3>What is the surface area of a cube?</h3>

The surface area of a cube of side length l is given by:

S = 6l².

In this problem, we have that l = 7 m, hence the surface area is:

S = 6 x 7² = 294 m².

<h3>What is the total surface area?</h3>


The total surface area is the sum of the surface areas, hence:

T = 2038 m² + 294 m² = 2332 m².

Which means that option A is correct.

More can be learned about surface area at brainly.com/question/13030328

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2 years ago
Explain how you know whether to add or subtract when you use the distributive property to multiply
MissTica
If you use a distributive or multiply is all kind a same

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3 years ago
The temp at noon was 3*F and in midnight the temp dropped 8*F. What was the temp at midnight?
Romashka [77]

Answer: -5°F

Step-by-step explanation:

The temp at noon was 3*F and in midnight the temp dropped 8*F. Therefore, the temp at midnight will be calculated as:

= 3°F - 8°F.

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6 0
3 years ago
If gas prices are now $3.75 and they were up 10% from 6 months ago, how much were gas prices 6 months ago?
Hatshy [7]

Given

gas prices are now $3.75 and it up 10% from 6 months ago.

Find out how much were gas prices 6 months ago.

To proof

gas prices now = $3.75

let the gas price 6 month ago = x

gas price now is rise up 10% from 6 months ago

First write 10% in simpler form

= \frac{10}{100}

= 0.1

Now the equation becomes

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1.1x = 3.75

x =\frac{3.75}{1.1}

x = 3.41 (approx)

Thus gas prices 6 months ago be $ 3.41 (approx )

Hence proved

7 0
3 years ago
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Answer:

Option D, 192 m³

Step-by-step explanation:

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