Question

Преобразуйте текст в математическую модель. Маша задумала число x, затем уменьшила его в 5 раз, а результат увеличила на 3,25. Значение этого выражения – 34,75. Маша попросила Диму найти задуманное число.

Answer 1

Ответ:

x= -190

Решение:

x:5+3,25= -34,75

x:5= -3,25-34,75

x:5= -38

x= -38*5

x= -190

Answer 2

Mathematical Model of the Problem

To solve this problem, we need to convert the given text into a mathematical model. Let's break down the information provided:

1. Masha thought of a number, which we'll represent as x. 2. She then reduced it by 5 times, which can be written as x - 5x. 3. After that, she increased the result by 3.25, which gives us (x - 5x) + 3.25. 4. The value of this expression is given as -34.75.

So, we can write the equation as:

(x - 5x) + 3.25 = -34.75

Now, let's solve this equation to find the value of x.

Solving the Equation

To solve the equation, we'll simplify and isolate the variable x.

(x - 5x) + 3.25 = -34.75

Simplifying the left side of the equation:

-4x + 3.25 = -34.75

Next, we'll isolate the variable x by moving the constant term to the other side of the equation:

-4x = -34.75 - 3.25

Simplifying the right side of the equation:

-4x = -38

Finally, we'll solve for x by dividing both sides of the equation by -4:

x = -38 / -4

Simplifying the right side of the equation:

x = 9.5

Therefore, the number Masha had in mind is 9.5.

I hope this helps! Let me know if you have any further questions.