Question

1.Решите уравнение: а) х+12,4=11,4 б)6+4х=30 в)8х-15=3х+5 г)8:х=10:2,5 2.Найдите значение выражения (2,5-1(целая) 1\4*2,6):0,5-11 3.найдите значение y ,при котором разность значений выражений 7(y+3) и 5(2+y) равна 15 4.Водной фляге молока в 1,5 раза больше ,чем в другой .если перелить из первой фляги во вторую 8,5 литра,то молока в них окажется поровну.сколько молока было в каждой фляге?

Answer 1

Х+12,4=11,4
х=11,4-12,4
х= -1

Answer 2

1.а)x=11,4-12,4 = -1
б)4х=30-6
  4х=24
   х=6
в)8х-3х=5+15
  5х=20
    х=4
г)8:х=4
   х=2

Answer 3

a) x = -1 To solve this equation, we need to isolate x on one side of the equation. Subtracting 12.4 from both sides gives us:

x + 12.4 - 12.4 = 11.4 - 12.4 x = -1

b) x = 6 To solve this equation, we need to isolate x on one side of the equation. Subtracting 6 from both sides gives us:

6 + 4x - 6 = 30 - 6 4x = 24 x = 6

c) x = 2 To solve this equation, we need to isolate x on one side of the equation. Subtracting 3x from both sides gives us:

8x - 3x = 5 5x = 5 x = 1

d) x = 4 To solve this equation, we need to cross-multiply and simplify:

8/x = 10/2.5 8/x = 4 8 = 4x x = 2

To simplify this expression, we need to follow the order of operations (PEMDAS). First, we need to perform the multiplication within the parentheses:

2.5 - 1 (1/4 * 2.6) = 2.5 - 0.65

Next, we need to divide by 0.5:

2.5 - 0.65 / 0.5 = 1.7

Finally, we need to subtract 11:

1.7 - 11 = -9.3

Therefore, the value of the expression is -9.3.

We need to set up an equation to represent the given information:

7(y + 3) - 5(2 + y) = 15

Expanding and simplifying:

7y + 21 - 10 - 5y = 15 2y + 11 = 15 2y = 4 y = 2

Therefore, the value of y that satisfies the given condition is 2.

Let's call the amount of milk in the first flask "x" and the amount of milk in the second flask "y". We know that:

x = 1.5y

We also know that when 8.5 liters are transferred from the first flask to the second flask, the amount of milk in each flask becomes equal. Let's call this equal amount of milk "z". We can set up an equation to represent this:

x - 8.5 = z y + 8.5 = z

Substituting x = 1.5y into the first equation and simplifying:

1.5y - 8.5 = z

Substituting this expression for z into the second equation:

y + 8.5 = 1.5y - 8.5

Simplifying:

17 = 0.5y

y = 34

Substituting y = 34 into x = 1.5y:

x = 51

Therefore, there were 51 liters of milk in the first flask and 34 liters of milk in the second flask.