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grin007 [14]
3 years ago
5

The table below shows four systems of equations:

Mathematics
1 answer:
fredd [130]3 years ago
5 0
<span>System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

This is the correct answer because not only is it true but it also follows the property of solving systems of equations with adding the equations. To prove that it is true:

2nd equation in system #2 = 1st equation in system #1 + 2(2nd equation in system #1)

 </span>10x − 7y = 18 == 4x − 5y = 2 + 2(<span>3x − y = 8)
10x - 7y = 18 == 4x - 5y = 2 + 6x - 2y = 16
10x = 7y = 18 == 10x - 7y = 18</span>
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I’ll give brainliest
Alex

Answer:

84

Step-by-step explanation:

x = number of girls

The total for boys is 2x * 81 and for girls it would be 90x

Therefore, the equation goes like this:

2x * 81 + 90x

Then simplify, and set to equal 3x...

3x = 252

Which is the same as

x = 84

Thank me later :)

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3 years ago
Please help me!
Temka [501]
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3 years ago
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elena55 [62]

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4 0
3 years ago
The example of a beach ball with a ping pong ball inside of it can be used to imagine the relationship between what two entities
Nookie1986 [14]

The celestial sphere and Earth is the example of a beach ball with a ping pong ball inside of it can be used to imagine the relationship between what two entities.

The heavenly sphere is what Why is this old idea still relevant today?

  • Ancient people used the celestial sphere to describe the visible universe.
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Which phrase most accurately sums up the celestial sphere?

The entire sky as seen from Earth is portrayed by the celestial sphere. Keep in mind that the celestial sphere is intended to depict the sky as it appears from our planet rather than physical reality.

Learn more about celestial sphere

brainly.com/question/13196153

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3 0
2 years ago
A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of
finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}

                                    = π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

  \sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 \sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12

      \sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\  r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \  sphere = 18 \ cm}

6 0
2 years ago
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