2 years ago

What is the process to get 90 divided by 40

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

7 0

$\frac{90}{40} = \frac{9*10}{4*10} = \frac{9}{4} = 2.25$

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find a number such that if 8 is subtracted from 9 times the number , the result is 6 more than twice the number

zheka24 [161]

Answer:

x=2

Step-by-step explanation:

let the number be x

9x-8=6+2x

9x-2x=6+8

7x=14

x=14/7

x=2

8 0

3 years ago

To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?

romanna [79]

Let r be a radius of a given circle and α be an angle, that corresponds to a sector.

The circle area is $A=\pi r^2$ and denote the sector area as $A_1$ .
Then $\dfrac{A_1}{A}= \dfrac{\alpha}{2\pi}$ (the ratio between area is the same as the ratio between coresponding angles).

$A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}$ .

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2 years ago

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

PilotLPTM [1.2K]

$3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24 + 30 < 6x + 12x \\ 54 < 18x \\ \frac{54}{18} < \frac{18x}{18} \\ x > 3$