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3 years ago

3x + 2 = x + 4 ( x + 2 )

Mathematics

1 answer:

Step2247 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

$3x+2=x+4(x+2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\3x+2=x+(4)(x)+(4)(2)\\\\3x+2=x+4x+8\qquad\text{combine like terms}\\\\3x+2=(x+4x)+8\\\\3x+2=5x+8\qquad\text{subtract 2 from both sides}\\\\3x+2-2=5x+8-2\\\\3x=5x+6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\3x-5x=5x-5x+6\\\\-2x=6\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{6}{-2}\\\\x=-3$

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I need help answering these questions. Can you guys answer all these 3 questions. Thank you

julsineya [31]

For number 7:

a) The sum of the adjacent angles is 180. Because if its any three angles thats half of the angles all together 3/6 = 180/360.

b) The sum of the angles in the center is 360 degrees. Because 60 x 6 = 360.

c) The unknown angles (center angles) are 61.25 degrees.

For number 8 (bonus):

It's C) 90 Degrees, because it's a right angle.

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3 years ago

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft

Yuri [45]

Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

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3 years ago

Evaluate the following expression. Round your answer to two decimal places.

RideAnS [48]

Answer: 2.18

Step-by-step explanation:

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3 years ago

It takes 212121 minutes for 555 people to paint 777 walls?

wlad13 [49]

What are you asking?
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4 years ago

Oliver treated his sister to lunch while visiting her in Cedarburg. Their lunch cost $275, and the sales tax in Cedarburg is 12%

Rudiy27

Answer:

Oliver paid a total of $363.

Step-by-step explanation:

The total amount paid by Oliver on this dinner is given by the cost of their lunch (275) plus the tax (12%) plus the tip (20%). So in order to calculate this value we first need to know how much was paid in tax and the tip, these calculations are shown bellow:

tax = 275*12% = 275*(12/100) = 33

tip = 275*20% = 275*(20/100) = 55

So the total amount paid was:

total = 275 + 33 + 55 = $363

Oliver paid a total of $363.

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4 years ago

3x + 2 = x + 4 ( x + 2 )​

3x + 2 = x + 4 ( x + 2 )