Find the value of x. (2x + 30) (5x - 18)

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Answer:

No answer as written. 16 if we add an equals sign.

Step-by-step explanation:

As written, there is no "=" sign in either expression. That means they are only expressions, not equations. x can be anything. 10, 12345, 0.00000343345567788, etc. There is nothing that restricts the value of x.

If we set the two expressions equal to each other, we can calculate a value of x:

(2x + 30) = (5x - 18)

3x = 48

x = 16

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1 Point

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Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$