Question

СРОЧНО решите пожалуйста уровнение используя основное свойство пропорции 1)4,5:0,6=а:2,4 2)3,4:5,1=1,4:к 5)у:16=3:8 6)108:90=42:b.Заранее спасибо

Answer 1

1)a*0,6=4,5*2,4 0,6a=10,8 a=18 2)3,4*k=5,1*1,4 3,4k=7,14 k=2,1 3)8y=16*3 8y=48 y=6

Answer 2

Solution to the Equations Using the Proportion Property:

To solve the given equations using the proportion property, we need to apply the concept of equivalent ratios. Let's solve each equation step by step:

1) 4.5:0.6 = а:2.4

To solve this equation, we can set up the proportion:

4.5 / 0.6 = а / 2.4

To find the value of 'а', we can cross-multiply and solve for 'а':

4.5 * 2.4 = 0.6 * а

10.8 = 0.6 * а

Now, we can isolate 'а' by dividing both sides of the equation by 0.6:

10.8 / 0.6 = а

а = 18

Therefore, the solution to the equation is а = 18.

2) 3.4:5.1 = 1.4:к

To solve this equation, we can set up the proportion:

3.4 / 5.1 = 1.4 / к

To find the value of 'к', we can cross-multiply and solve for 'к':

3.4 * к = 5.1 * 1.4

3.4к = 7.14

Now, we can isolate 'к' by dividing both sides of the equation by 3.4:

к = 7.14 / 3.4

к ≈ 2.1

Therefore, the solution to the equation is к ≈ 2.1.

5) у:16 = 3:8

To solve this equation, we can set up the proportion:

у / 16 = 3 / 8

To find the value of 'у', we can cross-multiply and solve for 'у':

у * 8 = 16 * 3

8у = 48

Now, we can isolate 'у' by dividing both sides of the equation by 8:

у = 48 / 8

у = 6

Therefore, the solution to the equation is у = 6.

6) 108:90 = 42:b

To solve this equation, we can set up the proportion:

108 / 90 = 42 / b

To find the value of 'b', we can cross-multiply and solve for 'b':

108 * b = 90 * 42

108b = 3780

Now, we can isolate 'b' by dividing both sides of the equation by 108:

b = 3780 / 108

b ≈ 35

Therefore, the solution to the equation is b ≈ 35.

In summary, the solutions to the given equations are: 1) а = 18 2) к ≈ 2.1 5) у = 6 6) b ≈ 35

Please let me know if you need any further assistance!