Question

2:9=4:b15:b=3:23:2,1=y:14y:2,4=3:6​

Answer 1

Дана пропорция, при решении используем основное свойство пропорции:

произведение крайних членов равно произведению средних членов.

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2 : 9 = 4 : b

2 · b = 9 · 4

2b = 36

b = 36 : 2

b = 18

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15 : b = 3 : 2

15 · 2 = b · 3

30 = 3b

3b = 30

b = 30 : 3

b = 10

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3 : 2,1 = у : 14

3 · 14 = 2,1 · у

42 = 2,1у

2,1 у = 42

у = 42 : 2,1

у = 20

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у : 2,4 = 3 : 6

у · 6 = 2,4 · 3

6у = 7,2

у = 7,2 : 6

у = 1,2

Answer 2

To solve the proportion, let's break it down into separate ratios and solve them individually.

First proportion: 2:9 = 4:b To find the value of 'b,' we can cross-multiply: 2b = 4 * 9 2b = 36 b = 36 / 2 b = 18

Second proportion: b:15 = 3:23 Cross-multiplying again: 3 * 15 = b * 23 45 = 23b b = 45 / 23 (approximately 1.9565)

Third proportion: 2,1=y:14y:2,4=3:6 Since there are multiple ratios in this proportion, let's solve them one by one.

2,1 = y:14y Cross-multiplying: 2,1 * 14y = y 29,4y = y 29,4y - y = 0 28,4y = 0 y = 0

Next, we have: 14y:2,4 = 3:6 Cross-multiplying: 14y * 6 = 2,4 * 3 84y = 7,2 y = 7,2 / 84 (approximately 0.0857)

So, the solutions are: b = 18 y = 0 y ≈ 0.0857