To solve the equation 11,044:(5,5-t:78)=10,8, we need to follow the order of operations (also known as PEMDAS/BODMAS).
First, let's simplify the expression within the parentheses (5,5-t:78): 5,5-t:78 = 5.5 - t / 78
Now, let's substitute this expression back into the main equation: 11,044 / (5.5 - t / 78) = 10.8
Next, we'll multiply both sides of the equation by (5.5 - t / 78) to eliminate the denominator: 11,044 = 10.8 * (5.5 - t / 78)
Expanding the right side of the equation: 11,044 = 59.4 - 10.8 * (t / 78)
Rearranging the equation: 10.8 * (t / 78) = 59.4 - 11,044
Now, let's simplify the right side: 10.8 * (t / 78) = -10,984.6
To solve for t, we'll divide both sides of the equation by 10.8: t / 78 = -10,984.6 / 10.8
Simplifying the right side: t / 78 = -1,017.42592593
Finally, multiply both sides of the equation by 78 to isolate t: t = -1,017.42592593 * 78
t ≈ -79,328.62962963
Therefore, approximately t = -79,328.63.
