Question

1)0,3:а=0,5:1,5 2)0,9:2=0,18:у 3)7,2:m=1,8:25 4)0,2/3=х/1,2 5)0,07/0,3=0,5/m.

Answer 1

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Answer 2

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

1. 0.3 : a = 0.5 : 1.5

To solve this equation, we can cross-multiply:

0.3 * 1.5 = 0.5 * a

0.45 = 0.5a

Now, divide both sides of the equation by 0.5 to isolate "a":

0.45 / 0.5 = a

a = 0.9

Therefore, the value of "a" is 0.9.

2. 0.9 : 2 = 0.18 : y

Similarly, cross-multiply to solve for "y":

0.9 * y = 0.18 * 2

0.9y = 0.36

Divide both sides of the equation by 0.9:

0.9y / 0.9 = 0.36 / 0.9

y = 0.4

Therefore, the value of "y" is 0.4.

3. 7.2 : m = 1.8 : 25

Cross-multiply to solve for "m":

7.2 * 25 = 1.8 * m

180 = 1.8m

Divide both sides of the equation by 1.8:

180 / 1.8 = m

m = 100

So, the value of "m" is 100.

4. 0.2/3 = x/1.2

Cross-multiply to solve for "x":

0.2 * 1.2 = 3 * x

0.24 = 3x

Divide both sides of the equation by 3:

0.24 / 3 = x

x = 0.08

Therefore, the value of "x" is 0.08.

5. 0.07/0.3 = 0.5/m

Cross-multiply to solve for "m":

0.07 * m = 0.3 * 0.5

0.07m = 0.15

Divide both sides of the equation by 0.07:

0.07m / 0.07 = 0.15 / 0.07

m = 2.142857...

Rounded to two decimal places, the value of "m" is approximately 2.14.

So, the solutions to the given equations are:

1. a = 0.9
2. y = 0.4
3. m = 100
4. x = 0.08
5. m ≈ 2.14