Question

РЕШИТЕ УРАВНЕНИЯ 3 ЦЕЛЫХ ОДНА ТРЕТЬЯx -1= 1 целая две девятых 2) 0.4 * (6x -7) =0.5 * 3x+7) УПРОСТИТЕ ВЫРАЖЕНИЯ (3с + 5.8) -(4.9+с) найдите значения при x=0.1 2) 2 целых одна четвёртая ( 4/9x=4y) -2(y -0.65x) найдите значение при x=10 y= -0.1 В ГАРАЖЕ НАХОДИЛОСЬ 340 АВТОМАШИН ТРЁХ ВИДОВ.АВТОМАШИНЫ МОСКВИЧ СОСТАВЛЯЛИ 45% ОТ ЧИСЛА МАШИН ЖИГУЛИ. А ЧИСЛО АВТОМАШИН ЗАПОРОЖЕЦ СОСТОВЛЯЛО 5/9 ОТ ЧИСЛА АВТОМАШИН МОСКВИЧ СКОЛЬКО МАШИН КАЖДОГО ВИДА НАХОДИЛОСЬ В ГАРАЖЕ

Answer 1

1_ Переводим все дроби в неправильные, получаем: (10х)/3-1=11/9; (10х)/3 - 3/3 = 11/9; (10х-3)/3=11/9. По пропорции: 90х-27=33; 90х=60; х=60÷90; х=2/3. Ответ: 2/3. 2_ Умножаем на 0,4 и на 0,5, получается 2,4х-2,8=1,5+3,5; 0,9х=6,3; 9х=63; х=7. Ответ: 7. 3_ Пусть жигулей х тогда 0,45 х - москвичей 5/9* 0,45 х= 0,25х - запорожцев х+0,45х+0,25х=340; 1,7х=340; х=200. Получается 200 жигулей. Тогда 0,45*200=90 москвичей; и 340-200-90=50 запоржцев. Ответ: 200 жигулей; 90 москвичей; 50 запорожцев.

Answer 2

Solving Equations

Let's solve the given equations step by step.

1. Solve for x in the equation 3x - 1 = 1 2/9:

To solve for x in the equation 3x - 1 = 1 2/9, we can add 1 to both sides and then divide by 3. This gives us:

   3x - 1 + 1 = 1 2/9 + 1
   3x = 2 2/9
   x = 2 2/9 ÷ 3
   

The value of x is 2 2/27.

2. Solve for x in the equation 0.4 * (6x - 7) = 0.5 * (3x + 7):

To solve for x in the equation 0.4 * (6x - 7) = 0.5 * (3x + 7), we can start by distributing the multiplication and then solving for x.

   0.4 * 6x - 0.4 * 7 = 0.5 * 3x + 0.5 * 7
   2.4x - 2.8 = 1.5x + 3.5
   2.4x - 1.5x = 3.5 + 2.8
   0.9x = 6.3
   x = 6.3 ÷ 0.9
   

The value of x is 7.

Simplifying Expressions

Now, let's simplify the given expressions.

1. Simplify the expression (3c + 5.8) - (4.9c):

To simplify the expression (3c + 5.8) - (4.9c), we can combine like terms.

   (3c + 5.8) - (4.9c) = 3c - 4.9c + 5.8 = -1.9c + 5.8
   

The simplified expression is -1.9c + 5.8.

Solving Equations with Given Values

Finally, let's solve the equation with the given values.

1. Solve for y when 2 1/4 = (4/9)x = 4y - 2(y - 0.65x) with x = 10 and y = -0.1:

Substituting the given values, we get:

   2 1/4 = (4/9) * 10 = 4y - 2(y - 0.65 * 10)
   2 1/4 = 40/9 = 4y - 2(y - 6.5)
   2 1/4 = 40/9 = 4y - 2y + 13
   2 1/4 = 40/9 = 2y + 13
   2 1/4 - 13 = 40/9 - 13 = 2y
   -10 3/4 = -103/9 = 2y
   -10 3/4 = -103/9
   y = -103/9 ÷ 2
   

The value of y when x = 10 and y = -0.1 is -51.5/9.

Number of Cars in the Garage

Lastly, let's determine the number of cars of each type in the garage.

Given: - Total number of cars = 340 - Moscow cars (Moskvich) = 45% of the total - Zaporozhets cars = 5/9 of the Moscow cars

We can calculate the number of cars for each type using the given percentages.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.