Question

-3 2/5t+7 5/6=9 1/4 решите уравнение

Answer 1

Ответ:Пошаговое объяснение:-3 2/5 t = 9 1/4 - 7 5/6-3 2/5 t = 1 2/12t = - 14/12 : 17/5 = - 7/6 * 5/17 = - 35/102

Answer 2

To solve the equation, we'll need to isolate the variable "t" on one side of the equation. Let's proceed step by step:

Step 1: Get rid of the constant terms on the left side of the equation. We have: -3 + 2/5t + 7 + 5/6 = 9 1/4

Step 2: Combine the constant terms on the left side. Combine the whole numbers first: -3 + 7 = 4 Now, combine the fractions: (2/5)t + (5/6) = (9 1/4) - 4 (2/5)t + (5/6) = (37/4) - (16/4) (2/5)t + (5/6) = (21/4)

Step 3: To get rid of the fractions, let's multiply the entire equation by the least common multiple (LCM) of the denominators, which is 30 (5 * 6). 30 * [(2/5)t + (5/6)] = 30 * (21/4)

Step 4: Simplify the equation: 12t + 25 = 157.5

Step 5: Now, isolate "t" by moving the constant term to the other side of the equation. 12t = 157.5 - 25 12t = 132.5

Step 6: Finally, solve for "t" by dividing both sides by 12: t = 132.5 / 12 t = 11.041666...

Approximately, t ≈ 11.04 (rounded to two decimal places).

So, the solution to the equation is t ≈ 11.04.