Question

6x:8=12:3 OTBET please

Answer 1

6х:8=12:3
6х:8=4
6х=4*8
6х=32
х=32:6
х=5,34

Answer 2

To solve the proportion 6x:8=12:3 using the OTBEP method (which stands for "of the, times the equals the, part over the whole equals x"), you can follow these steps:

1. Write down the proportion: 6x:8=12:3

2. Identify the "of the" and "equals the" parts:

   • "Of the" part: 6x
   • "Times the" part: 8
   • "Equals the" part: 12
   • "Times the" part: 3

3. Write the parts over the whole:

   • "Of the" part over the whole: 6x/8
   • "Equals the" part over the whole: 12/3

4. Set the two ratios equal to each other and solve for x:

   6x/8 = 12/3

   Cross-multiply: 6x * 3 = 8 * 12

   Simplify: 18x = 96

   Divide by 18: x = 96/18

   Simplify: x = 16/3

Therefore, the solution to the proportion is x = 16/3.