11,044/(5,5-t/78)=10,8

To solve the equation, we can start by isolating the variable on one side of the equation.

First, we can multiply both sides of the equation by the denominator, in this case, 5.5 - t/78:

11,044 * (5.5 - t/78) = 10.8 * (5.5 - t/78)

This simplifies to:

60,242 - 11,044t/78 = 59.04 - 10.8t/78

Next, we can distribute the values:

60,242 - (11,044/78)t = 59.04 - (10.8/78)t

Now, let's combine like terms:

60,242 - (11,044/78)t = 59.04 - (10.8/78)t

To eliminate the fractions, we can multiply through by the least common denominator, which is 78:

78 * (60,242 - (11,044/78)t) = 78 * (59.04 - (10.8/78)t)

This simplifies to:

4,702,836 - 11,044t = 4,605.12 - 10.8t

Next, let's move all the terms with t to one side of the equation:

-11,044t + 10.8t = 4,605.12 - 4,702,836

This simplifies to:

• 244.2t = -4,698,230.88

Finally, we can solve for t by dividing both sides of the equation by -244.2:

t = (-4,698,230.88) / (-244.2)

Calculating this division, we find:

t ≈ 19,213.8

Therefore, the solution to the equation is t ≈ 19,213.8.