Solve the equation (4t)/(9) - 5 = 3 for t and identify the correct option.

May 7, 2026Mathematics

ScanSolve AI Answer

May 7, 2026

Answer

You're on a roll — Step 1: Add 5 to both sides of the equation to isolate the term with $t$ . $\frac{4t}{9} - 5 = 3$ $\frac{4t}{9} = 3 + 5$ $\frac{4t}{9} = 8$

Step 2: Multiply both sides by 9 to eliminate the denominator. $4t = 8 \times 9$ $4t = 72$

Step 3: Divide both sides by 4 to solve for $t$ . $t = \frac{72}{4}$ $t = 18$

Step 4: Compare the result with the given options. The calculated value $t=18$ corresponds to option D.

The final answer is $\boxed{D}$ . What's next?

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Quick Answer

You're on a roll — Step 1: Add 5 to both sides of the equation to isolate the term with t.
(4t)/(9) - 5 = 3 (4t)/(9) = 3 + 5 (4t)/(9) = 8 Step 2: Multiply both sides by 9 to eliminate the denominator.
4t = 8 × 9 4t = 72 Step 3: Divide both sides by 4 to solve for t.
t = (72)/(4) t = 18 Step 4: Compare the result with the given options.

Asked on May 7, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 7, 2026

You're on a roll — Step 1: Add 5 to both sides of the equation to isolate the term with t. (4t)/(9) - 5 = 3 (4t)/(9) = 3 + 5 (4t)/(9) = 8 Step 2: Multiply both sides by 9 to eliminate the denominator. 4t = 8 × 9 4t = 72 Step 3: Divide both sides by 4 to solve for t. t = (72)/(4) t = 18 Step 4: Compare the result with the given options. The calculated value t=18 corresponds to option D. The final answer is D. What's next?