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3 years ago

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

2 answers:

4 0

The solution to the problem is as follows:

solve for x :

−3(6−2x)≥4x+12

 −18+6x≥4x+12

 2x≥30

 x≥15

 So the answer is D ) 15 to +infinity


I hope my answer has come to your help. God bless and have a nice day ahead!

Llana [10]3 years ago

3 0

Answer:

answer d 15 to ifinity

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as the cylinder.

ratelena [41]

The formula of a volume of a cylinder:

$V_{cylinder}=\pi r^2H$

The formula of a volume of a cone:

$V_{cone}=\dfrac{1}{3}\pi r^2H$

If a cone and a cylinder have the same radius and the same height, then a volume of a cylinder is three times greater than a volume of a cone.

$V_{cylinder}=3V_{cone}\\\\V_{cone}=\dfrac{1}{3}V_{cylinder}$

$V_{cylinder}=360\ cm^3$

$V_{cone}=\dfrac{1}{3}\cdot360\ cm^3=120\ cm^3$

<h3>Answer: The volume of a cone is equal 120 cm³.</h3>

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3 years ago

The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wid

exis [7]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Three packages of pens and one box of paper cost $26. Two packages of pens and 7 boxes of paper cost $49. How much does one box

algol13

Answer:

5 dollars

Step-by-step explanation:

Let's call the price of a package of pens n, and the cost of a box of paper r.

3n+r=26

2n+7r=49

Multiply the first equation by 7:

21n+7r=182

Subtract the second equation from the first:

19n=133

Divide both sides by 19 to isolate n:

n=7

Plug this back in to find the value of a box of paper:

3(7)+r=26

21+r=26

r=5

Hope this helps!

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3 years ago

It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.

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Answer:

B (cylinder)

Step-by-step explanation:

Two circular bases which are parallel and congruent :

This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.

The cube doesn't have any circular bases.

The sphere doesn't have any faces, nor edges.

A cone has a circular base, but it doesn't have two.

A cylinder has two circular bases, as well as they are parallel and congruent.

So, your answer is B (cylinder).

Hope this helped !

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2 years ago