Вопрос задан 11.07.2023 в 08:40. Предмет Математика. Спрашивает Орлов Никита.

ДАЮ 60 БАЛОВ ПОМОГИТЕ ПРОШУУУУУ 1)2/3t-1/2t+2=1/4t-3, 2)1/2x+1/6x+5=x, 3)0,2f+2,3=0,7f-3,2,

4)-0,4x-14=0,3x, 5)-40·(-7x+5)=-1600, 6)(-20t-50)·2=100, 7)2,1·(4-6e)=-42, 8)-3·(2-15k)=-6, 9)-20·(x-13)=-220, 10)(30-7r)·8=352, 11)(2,8-0,1h)·3,7=7,4, 12)(3x-1,2)·7=10,5,
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Отвечает Смолина Аня.

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Sure, I'd be happy to help you solve these equations. Let's go through each of them step by step:

  1. 2/3t - 1/2t + 2 = 1/4t - 3

To solve this equation, first, let's combine the terms with 't' on one side of the equation:

2/3t - 1/2t - 1/4t = -3 - 2

Now, find a common denominator for the fractions:

(8/12)t - (6/12)t - (3/12)t = -5

Combine the 't' terms:

(-1/12)t = -5

To isolate 't', divide both sides by -1/12:

t = -5 / (-1/12) t = -5 * (-12/1) t = 60

  1. 1/2x + 1/6x + 5 = x

To solve this equation, first, let's find a common denominator for the fractions:

(3/6)x + (1/6)x + 5 = x

Combine the 'x' terms:

(4/6)x + 5 = x

To isolate 'x', move the (4/6)x to the right side:

x - (4/6)x = 5

(6/6)x - (4/6)x = 5

(2/6)x = 5

Now, divide both sides by 2/6:

x = 5 / (2/6) x = 5 * (6/2) x = 5 * 3 x = 15

  1. 0.2f + 2.3 = 0.7f - 3.2

Let's isolate 'f' on one side of the equation:

0.2f - 0.7f = -3.2 - 2.3

Combine the 'f' terms:

-0.5f = -5.5

Now, divide both sides by -0.5:

f = -5.5 / -0.5 f = 11

  1. -0.4x - 14 = 0.3x

Let's isolate 'x' on one side of the equation:

-0.4x - 0.3x = 14

Combine the 'x' terms:

-0.7x = 14

Now, divide both sides by -0.7:

x = 14 / (-0.7) x = -20

  1. -40 * (-7x + 5) = -1600

Distribute the -40:

280x - 200 = -1600

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

280x = -1600 + 200 280x = -1400

Finally, divide both sides by 280:

x = -1400 / 280 x = -5

  1. (-20t - 50) * 2 = 100

Distribute the 2:

-40t - 100 = 100

Now, isolate 't' by moving the constant term to the right side:

-40t = 100 + 100 -40t = 200

Divide both sides by -40:

t = 200 / -40 t = -5

  1. 2.1 * (4 - 6e) = -42

Distribute the 2.1:

8.4 - 12.6e = -42

Now, isolate 'e' by moving the constant term to the right side:

-12.6e = -42 - 8.4 -12.6e = -50.4

Divide both sides by -12.6:

e = -50.4 / -12.6 e = 4

  1. -3 * (2 - 15k) = -6

Distribute the -3:

-6 + 45k = -6

Now, isolate 'k' by moving the constant term to the right side:

45k = -6 + 6 45k = 0

Divide both sides by 45:

k = 0

  1. -20 * (x - 13) = -220

Distribute the -20:

-20x + 260 = -220

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

-20x = -220 - 260 -20x = -480

Divide both sides by -20:

x = -480 / -20 x = 24

  1. (30 - 7r) * 8 = 352

Distribute the 8:

240 - 56r = 352

Now, isolate 'r' by moving the constant term to the right side:

-56r = 352 - 240 -56r = 112

Divide both sides by -56:

r = 112 / -56 r = -2

  1. (2.8 - 0.1h) * 3.7 = 7.4

Distribute the 3.7:

10.36 - 0.37h = 7.4

Now, isolate 'h' by moving the constant term to the right side:

-0.37h = 7.4 - 10.36 -0.37h = -2.96

Divide both sides by -0.37:

h = -2.96 / -0.37 h = 8

  1. (3x - 1.2) * 7 = 10.5

Distribute the 7:

21x - 8.4 = 10.5

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

21x = 10.5 + 8.4 21x = 18.9

Divide both sides by 21:

x = 18.9 / 21 x = 0.9

So, the solutions to the given equations are:

  1. t = 60
  2. x = 15
  3. f = 11
  4. x = -20
  5. x = -5
  6. t = -5
  7. e = 4
  8. k = 0
  9. x = 24
  10. r = -2
  11. h = 8
  12. x = 0.9
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