Question

1) 4 - 2x+4x = 10 2) 2 ÷ x = 6-2 3) 1/2÷1/10×0,2-1/100=

Answer 1

№ 1.                                          № 2.

4 - 2х + 4х = 10                        2 : х = 6 - 2        

4х - 2х = 10 - 4                         2 : х = 4

2х = 6                                       х = 2 : 4

х = 6 : 2                                    х = 0,5

х = 3

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№ 3.

1/2 : 1/10 · 0,2 - 1/100 = 99/100 (или 0,99 в десятичных дробях)

1) 1/2 : 1/10 = 1/2 · 10/1 = 10/2 = 5

2) 5 · 0,2 = 1

3) 1 - 1/100 = 100/100 - 1/100 = 99/100 = 0,99

Answer 2

Let's solve each of these equations step by step:

1. $4 - 2x + 4x = 10$ Combining like terms on the left side: $4 + 2x = 10$ Subtracting 4 from both sides: $2x = 6$ Dividing both sides by 2: $x = 3$

So, the solution for the first equation is $x = 3$.

2. $2 ÷ x = 6 - 2$ Simplify the right side: $2 ÷ x = 4$ Multiply both sides by $x$ (assuming $x$ is not equal to 0): $2 = 4x$ Dividing both sides by 4: $x = \frac{2}{4}$ Simplify the fraction: $x = \frac{1}{2}$

The solution for the second equation is $x = \frac{1}{2}$.

3. $\frac{1}{2} ÷ \frac{1}{10} \times 0.2 - \frac{1}{100}$ First, perform the division: $\frac{1}{2} ÷ \frac{1}{10} = 5$ Then, perform the multiplication: $5 \times 0.2 = 1$ Subtract $\frac{1}{100}$: $1 - \frac{1}{100} = \frac{99}{100}$

The solution for the third equation is $\frac{99}{100}$.

To summarize:

1. $x = 3$
2. $x = \frac{1}{2}$
3. The expression evaluates to $\frac{99}{100}$.