Question

Б) 40, 32 : ( 406,2-x) = 2,1​

Answer 1

$\displaystyle \tt 40,32 \div (406,2-x)=2,1\:\:\:\:|\: x\ne 406,2\\\\ \frac{1008}{25}\div(\frac{2021}{5}-x)=2,1\\\\ \frac{1008}{25}\div\frac{2031-5x}{5}=2,1\\\\ \frac{1008}{25}\cdot\frac{5}{2031-5x}=2,1\\\\ \frac{1008}{5}\cdot\frac{1}{2031-5x}=2,1\\\\ \frac{1008}{5(2031-5x)}=2,1\\\\ 1008=10,5(2031-5x)\\\\ 1008=21325,5-52,5x\\\\ 52,5x=21325,5-1008\\\\ 52,5x=20317,5\\\\ x=\frac{20317,5}{52,5}\\\\ \underline{\bold{x=387}}$

Answer 2

Ответ: 387

Объяснение:

40, 32 : ( 406,2-x) = 2,1​

406,2-x=40, 32 :2,1 ​( чтобы найти неизвестный делитель 406,2-x нужно делимое 40, 32 разделить на частное 2,1

406,2-x=19,2 ( чтобы найти незвестное вычтаемое x нужно из уменьшаемого 406,2 вычесть разность 19,2)

х=406,2-19,2

х=387

Answer 3

To solve the equation, we can use the concept of proportions. The given equation is:

40 / 32 = (406 / (2 - x)) / 2

We can cross-multiply to eliminate the fractions:

40 * 2 = 32 * (406 / (2 - x))

80 = (32 * 406) / (2 - x)

Now, we can multiply both sides by (2 - x) to isolate the variable:

80(2 - x) = 32 * 406

160 - 80x = 12,992

Next, we can simplify the equation:

-80x = 12,992 - 160

-80x = 12,832

Now, we divide both sides by -80 to solve for x:

x = 12,832 / -80

x ≈ -160.4

Therefore, the value of x that satisfies the equation is approximately -160.4.