Question

3\4(0.5х+2\3 )=3х=2 1\476-2,5х-4 7\25=8,28

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's solve the equation step by step:

1. Simplify the left side of the equation: We have: 3/4 * (0.5x + 2/3)

   To simplify this, we first distribute the 3/4 to the terms inside the parentheses: (3/4) * 0.5x + (3/4) * 2/3

   Now, perform the multiplication: (3/4) * 0.5x = (3/4) * 0.5 * x = 3/8 * x (3/4) * 2/3 = (3/4) * 2/3 = 1/2

   So, the left side becomes: 3/8 * x + 1/2

2. Set the left side equal to the right side and solve for x: We have: 3x + 2 1/476 - 2.5x - 4 7/25 = 8.28

   Combine the constant terms on the right side: 3x - 2.5x + 2 1/476 - 4 7/25 = 8.28

   Combine the x terms on the left side: (3x - 2.5x) + 2 1/476 - 4 7/25 = 8.28 0.5x + 2 1/476 - 4 7/25 = 8.28

3. Convert all the terms to a common denominator for easier calculation: The common denominator for 476 and 25 is 476 * 25 = 11900.

   2 1/476 = (2 * 476 + 1)/476 = 953/476 4 7/25 = (4 * 25 + 7)/25 = 107/25

   So, the equation becomes: 0.5x + 953/476 - 107/25 = 8.28

4. Further simplify the equation: To simplify the left side of the equation, find a common denominator for 476 and 25, which is 11900.

   (0.5x * 11900)/11900 + (953 * 25)/(476 * 25) - (107 * 476)/(25 * 476) = 8.28

   Now, perform the multiplication:

   0.5 * 11900 = 5950, so the first term becomes 5950x/11900. 953 * 25 = 23825, so the second term becomes 23825/11900. 107 * 476 = 50932, so the third term becomes 50932/11900.

   The equation now looks like this: 5950x/11900 + 23825/11900 - 50932/11900 = 8.28

5. Combine the terms on the left side of the equation: (5950x + 23825 - 50932)/11900 = 8.28

6. Solve for x: To isolate x, multiply both sides by 11900 to get rid of the denominator:

   5950x + 23825 - 50932 = 8.28 * 11900

   Perform the multiplication on the right side:

   8.28 * 11900 = 98412

   The equation now becomes: 5950x + 23825 - 50932 = 98412

   Next, combine the constant terms:

   5950x - 27107 = 98412

   Now, isolate x by moving the constant term to the other side:

   5950x = 98412 + 27107 5950x = 125519

   Finally, solve for x:

   x = 125519 / 5950 x ≈ 21.09