Question

12:х=4:5 .... 27:8=5.4:х ​

Answer 1

12 : х = 4 : 5 - это пропорция

х · 4 = 12 · 5 - свойство пропорции

х · 4 = 60

х = 60 : 4

х = 15

Проверка: 12 : 15 = 4 : 5

                   0,8 = 0,8

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27 : 8 = 5,4 : х - это пропорция

27 · х = 8 · 5,4 - свойство пропорции

27 · х = 43,2

х = 43,2 : 27

х = 1,6

Проверка: 27 : 8 = 5,4 : 1,6

                   3,375 = 3,375

Answer 2

It seems like you're dealing with proportionality problems. In both cases, you're given ratios and you're asked to find the value of the variable "x". Let's solve both problems step by step:

Problem 1: 12:х = 4:5

To solve for "x", you can set up a proportion:

12 / х = 4 / 5

Cross-multiply:

12 * 5 = 4 * х 60 = 4x

Now, solve for "x":

x = 60 / 4 x = 15

So, in the first problem, when 12 is to "x" as 4 is to 5, the value of "x" is 15.

Problem 2: 27:8 = 5.4:х

Again, set up a proportion:

27 / 8 = 5.4 / х

Cross-multiply:

27 * х = 5.4 * 8 27x = 43.2

Now, solve for "x":

x = 43.2 / 27 x = 1.6

In the second problem, when 27 is to 8 as 5.4 is to "x", the value of "x" is approximately 1.6.

Remember that in proportionality problems, you can use cross-multiplication to solve for the unknown variable.