Question

Помогите пожалуйстаа прошууу! задания::) 1)Петя задумал натуральное число.Если к числу приписать 2,то оно увеличиться на 180. Какое число задумано?2)Найдите коэффициент в произведении 1.2/9 X(-2/3x).3) Решите уравнение Х+5,7/2,5=2Х-1/44) Отец в 2,5 раза старше сына и на 24 года старше дочери.Сколько лет сыну,если вместе им 93 года

Answer 1

2)Найдите коэффициент в произведении 1.2/9 X(-2/3x)=-11/9*2/3х=-22/27х
4)х-сыну
2.5х-отцу
2.5х-24-дочери

х+2.5х+2.5х-24=93
6х-24=93
6х=93+24
6х=117
х=19.5 - лет сыну
48.75 лет отцу
24.75 лет дочери

Answer 2

Коэффициент произведения  :22/27  х2    3)приведём к общему знаменателю,получим:2,5х=5,7=5Х-2,5   2,5Х-5Х=-2,5-5,7     -2,5Х=-8,2  Х=3,28

Answer 3

Task 1: Петя задумал натуральное число. Если к числу приписать 2, то оно увеличится на 180. Какое число задумано?

To solve this problem, we can set up an equation based on the given information.

Let's assume the number Petya has in mind is represented by the variable 'x'. According to the problem, if we add 2 to this number, it will increase by 180. Mathematically, we can express this as:

x + 2 = x + 180

To find the value of 'x', we can solve this equation:

x + 2 = x + 180

Subtracting 'x' from both sides of the equation, we get:

2 = 180

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution to this problem.

Task 2: Найдите коэффициент в произведении 1.2/9 * X * (-2/3x).

To find the coefficient in the given expression, we need to simplify the expression first.

The given expression is: 1.2/9 * X * (-2/3x)

To simplify this expression, we can multiply the numerators and denominators together:

1.2 * (-2) * X / (9 * 3 * x)

Simplifying further, we get:

-2.4X / 27x

The coefficient in this expression is -2.4 / 27.

Task 3: Решите уравнение Х + 5.7/2.5 = 2Х - 1/4

To solve this equation, we can follow these steps:

1. Multiply through by the common denominator (10) to eliminate the fractions: 10 * (X + 5.7/2.5) = 10 * (2X - 1/4)

Simplifying, we get: 4(X + 5.7/2.5) = 10(2X - 1/4)

2. Distribute the multiplication: 4X + 4 * 5.7/2.5 = 20X - 10/4

Simplifying, we get: 4X + 22.8/2.5 = 20X - 2.5

3. Combine like terms: 4X + 9.12 = 20X - 2.5

4. Move all terms involving 'X' to one side and the constant terms to the other side: 4X - 20X = -2.5 - 9.12

Simplifying, we get: -16X = -11.62

5. Solve for 'X' by dividing both sides of the equation by -16: X = (-11.62) / (-16)

Simplifying, we get: X = 0.72625

Therefore, the solution to the equation is X = 0.72625.

Task 4: Отец в 2,5 раза старше сына и на 24 года старше дочери. Сколько лет сыну, если вместе им 93 года?

Let's assume the age of the son is represented by the variable 'x'. According to the problem, the father is 2.5 times older than the son, and the father is also 24 years older than the daughter. We can set up the following equations based on this information:

1. Father's age: 2.5x 2. Daughter's age: x - 24

The sum of their ages is given as 93:

x + 2.5x + (x - 24) = 93

Simplifying the equation, we get:

4.5x - 24 = 93

Adding 24 to both sides of the equation, we get:

4.5x = 117

Dividing both sides of the equation by 4.5, we get:

x = 26

Therefore, the son is 26 years old.