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How do you multiply #(t+4)/5=3/(8+t)+17/40#?

Answer 1

Hazel Anglin

If you want to find #t#:

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Answer 2

Savannah Anderson

To solve the equation (t+4)/5 = 3/(8+t) + 17/40, we can follow these steps:

Multiply both sides of the equation by 40 to eliminate the denominators: 40 * (t+4)/5 = 40 * (3/(8+t)) + 40 * (17/40)
Simplify the equation: 8(t+4) = 3 * 5 + 17
Distribute and simplify further: 8t + 32 = 15 + 17
Combine like terms: 8t + 32 = 32
Subtract 32 from both sides of the equation: 8t = 0
Divide both sides by 8 to solve for t: t = 0

Therefore, the solution to the equation is t = 0.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.