Question

1)24+(4x+52)=1200 2)1024÷(100-4x)=166 3)13×(2x-19)=169 4)7×(2x-19)=343​

Answer 1

Ответ:

Пошаговое объяснение:.

1)24+(4x+52)=1200

4х=1200-52-24

4х=1124

Х=1124:4

Х=281

2)1024÷(100-4x)=16

100-4х=1024:16

100-4х=64

4х=100-64

4х=36

Х=36:4

Х=9

3)13×(2x-19)=169

2х-19=169:13

2х-19=13

2х=13+19

2х=32

Х=32:2

Х=16

4)7×(2x-19)=343

2х-19=343:7

2х-19=49

2х=49+19

2х=68

Х=68:2

Х=34

Answer 2

To solve each of these equations, we'll isolate the variable x one by one. Here are the solutions for each equation:

1. 24 + (4x + 52) = 1200

First, simplify the equation:

24 + 4x + 52 = 1200

Combine like terms:

76 + 4x = 1200

Now, isolate the variable x by subtracting 76 from both sides:

4x = 1200 - 76 4x = 1124

Finally, divide both sides by 4 to solve for x:

x = 1124 / 4 x = 281

So, the solution to the first equation is x = 281.

2. 1024 ÷ (100 - 4x) = 166

First, isolate the expression in the denominator:

100 - 4x = 1024 / 166

Now, simplify the right side:

100 - 4x = 6.1686747 (rounded to a reasonable number of decimal places)

Next, isolate the variable x by subtracting 100 from both sides:

-4x = 6.1686747 - 100 -4x = -93.8313253

Finally, divide both sides by -4 to solve for x:

x = (-93.8313253) / (-4) x ≈ 23.457831325

So, the solution to the second equation is approximately x ≈ 23.4578 (rounded to four decimal places).

3. 13 × (2x - 19) = 169

First, isolate the expression in the parentheses:

2x - 19 = 169 / 13

Now, simplify the right side:

2x - 19 = 13

Next, isolate the variable x by adding 19 to both sides:

2x = 13 + 19 2x = 32

Finally, divide both sides by 2 to solve for x:

x = 32 / 2 x = 16

So, the solution to the third equation is x = 16.

4. 7 × (2x - 19) = 343

First, isolate the expression in the parentheses:

2x - 19 = 343 / 7

Now, simplify the right side:

2x - 19 = 49

Next, isolate the variable x by adding 19 to both sides:

2x = 49 + 19 2x = 68

Finally, divide both sides by 2 to solve for x:

x = 68 / 2 x = 34

So, the solution to the fourth equation is x = 34.