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HACTEHA [7]
3 years ago
13

Solve the system of equations: 3x + 2y = 4 3x + 6y = -24

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

y=-7

x=6

Step-by-step explanation:

If you subtract 3x from both equations, you get -4y=28, which means that y=-7. When you substitute it back in, you get the x-value of 6.

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What is the y=mx+b of this?
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The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c
Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

<u>Volume of a rectangular prism = ?</u>

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = \frac{1}{2} \times3=\frac{3}{2} \ cm

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = \frac{1}{3}\  of\ length

                            3=\frac{1}{3}\times length

By multiplying both sides by 3

                            3\times3=\frac{1}{3} \times3\ length\\9= length\\

Thus, length of prism = 9 cm

Now, as we know:

Volume\ of\ rectangular\ prism=length\times breadth\times height

                                                 =9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm

Therefore, the volume of a rectangular prism is 40.5 centimeters.

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