Final answer:
To solve the equation (1/8) + (1/10) = (1/t), find a common denominator for the fractions and cross-multiply to solve for t. The solution is t = 4.44.
Step-by-step explanation:
To solve the equation (1/8) + (1/10) = (1/t), we need to find the value of t. We can rearrange the equation to get t on one side by finding a common denominator for the fractions. The common denominator is 40, so the equation becomes (5/40) + (4/40) = (1/t). Combining the fractions gives us 9/40 = 1/t.
To solve for t, we can cross-multiply to get 9t = 40. Divide both sides of the equation by 9 to isolate t, giving us t = 40/9 = 4.44.
The solution to the equation is t = 4.44.