Question

1 20 - 18,6 : ( 6 11/15 - 4 3/20) 2. В гараже находилось 340 автомашин трёх видов. Автомашины «Москвич» составляли 45% от числа машин «Жигули», а число автомашин «Запорожец» составляло 5/9 от числа автомашин «Москвич». Сколько автомашин каждого вида находилось в гараже ? 3. 1/6 х - 0,82 = 3/8 х - 1,37 4. Найдите неизвестный член пропорции 7,6:х=2 1/9 : 2 4/9 5. Найдите число p, если 60% от p равны 6/7 от 84

Answer 1

Ответ:

Пошаговое объяснение:

решение на фото............................

Answer 2

Let's solve each of the problems step by step:

1. Evaluate the expression: 20 - 18,6 : (6 11/15 - 4 3/20) To make calculations easier, let's convert the mixed fractions to improper fractions. 20 - 18.6 : (6 11/15 - 4 3/20) 20 - 18.6 : (6 176/15 - 4 3/20) 20 - 18.6 : (615 + 176 - 420 - 3)/20 20 - 18.6 : (90 + 176 - 80 - 3)/20 20 - 18.6 : 183/20 20 - 18.6 * 20/183 20 - (18.6 * 20)/183 20 - 3.4 ≈ 16.6

2. Find the number of each type of car in the garage: Let's assume the total number of cars is represented by x. Number of "Москвич" cars = 45% of x = 0.45x Number of "Запорожец" cars = 5/9 of the number of "Москвич" cars = (5/9) * 0.45x = 0.25x Number of "Жигули" cars = Total - ("Москвич" + "Запорожец") = x - (0.45x + 0.25x) = x - 0.7x = 0.3x

Given that the total number of cars is 340: 0.3x = 340 x = 340 / 0.3 x ≈ 1133.33 (rounded off)

Now, we can find the number of each type of car: Number of "Москвич" cars ≈ 0.45 * 1133.33 ≈ 510 Number of "Запорожец" cars ≈ 0.25 * 1133.33 ≈ 283 Number of "Жигули" cars ≈ 0.3 * 1133.33 ≈ 340

3. Solve the equation: 1/6x - 0.82 = 3/8x - 1.37 To solve this equation, let's isolate x on one side: 1/6x - 3/8x = 1.37 - 0.82 (4/24 - 9/24)x = 0.55 (-5/24)x = 0.55 x = 0.55 / (-5/24) x = 0.55 * (-24/5) x ≈ -2.64

4. Find the unknown term in the proportion: 7.6 : x = 2 1/9 : 2 4/9 To find the value of x, let's convert the mixed fractions to improper fractions: 7.6 : x = 20/9 : 20/9 + 4/9 7.6 : x = (20 + 4)/9 7.6 : x = 24/9 Cross-multiply: 7.6 * 9 = 24 * x 68.4 = 24x x = 68.4 / 24 x ≈ 2.85

5. Find the value of p: 60% of p = 6/7 * 84 First, convert 60% to a decimal: 60% = 60/100 = 0.6 Then, set up the equation: 0.6 * p = 6/7 * 84 Now, solve for p: p = (6/7 * 84) / 0.6 p = (6 * 12) / 0.6 p = 72 / 0.6 p = 120

Therefore, the value of p is 120.