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Akimi4 [234]
2 years ago
8

Twenty times a square of a positive integer plus 50 equals negative 40 times the square of the positive integer plus one-hundred

and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.
Mathematics
1 answer:
rusak2 [61]2 years ago
4 0
20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]
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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.

3 0
3 years ago
Calculate the scale factor for the original triangle and its
Afina-wow [57]

Answer:

2

Step-by-step explanation:

8/4=2

have a good day..

3 0
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What is the length of side a?<br><br><br><br><br><br><br><br><br> Thank u
Anna007 [38]
Side a is 13 when using the pythagorean theorem

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Answer:

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Step-by-step explanation:

totally guessing just seems logical

4 0
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Sergeu [11.5K]

Answer:

The slope is -2

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Step-by-step explanation:

First lets start by writing the given equation in slope-intercept form, by isolating 'y' variable

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Since in this form, the slope of the line is the coefficient of 'x'. our slope is -2

and the 'y' intercept point is 4

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