Question

(2,1 – 0,7х) : 0,48 = 3,5 2) 2,021 : (2,3х – 41,7) = 0,47 3) 2х + 5,5х = 0,015

Answer 1

Ответ:

1)0,6; 2) 20; 3) 0,002

Пошаговое объяснение:

1) (2,1 – 0,7х) : 0,48 = 3,5

2,1-0,7х=3,5*0,48

2,1-0,7х=1,68

0,7х=2,1-1,68

0,7х=0,42

х= 0,6

2) 2,021 : (2,3х – 41,7) = 0,47

2,3х-41,7= 2,021:0,47

2,3х-41,7=4,3

2,3х=4,3+41,7

2,3х=46

х= 46:2,3

х=20

3)2х + 5,5х = 0,015

7,5х=0,015

х=0,015:7,5

х=0,002

Answer 2

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

1. (2,1 – 0,7x) / 0,48 = 3,5

To solve this equation, we'll first multiply both sides of the equation by 0.48 to eliminate the denominator:

0.48 * [(2.1 - 0.7x) / 0.48] = 0.48 * 3.5

Canceling out 0.48 on the left side, we have:

2.1 - 0.7x = 1.68

Now, we can isolate the variable x by subtracting 2.1 from both sides:

-0.7x = 1.68 - 2.1

Simplifying:

-0.7x = -0.42

Dividing both sides by -0.7:

x = -0.42 / -0.7

x ≈ 0.6

Therefore, the solution to the first equation is x ≈ 0.6.

2. 2.021 / (2.3x - 41.7) = 0.47

To solve this equation, we'll first multiply both sides by (2.3x - 41.7) to eliminate the denominator:

[2.021 / (2.3x - 41.7)] * (2.3x - 41.7) = 0.47 * (2.3x - 41.7)

Canceling out (2.3x - 41.7) on the left side, we have:

2.021 = 0.47 * (2.3x - 41.7)

Distributing 0.47 on the right side:

2.021 = 1.081x - 19.499

Now, let's isolate the variable x by moving the constant term to the right side:

1.081x = 2.021 + 19.499

Simplifying:

1.081x = 21.52

Dividing both sides by 1.081:

x = 21.52 / 1.081

x ≈ 19.91

Therefore, the solution to the second equation is x ≈ 19.91.

3. 2x + 5.5x = 0.015

Combining like terms on the left side:

7.5x = 0.015

Dividing both sides by 7.5:

x = 0.015 / 7.5

x = 0.002

Therefore, the solution to the third equation is x = 0.002.

To summarize:

1. x ≈ 0.6
2. x ≈ 19.91
3. x = 0.002