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20) \( 35 k \leq 2730 \)

Ask by Reid Warren. in the United States
Feb 26,2025

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Answer

k ≤ 78

Solution

To solve the inequality 35k ≤ 2730, follow these steps: 1. Divide both sides of the inequality by 35. Since 35 is positive, the inequality sign remains unchanged. k ≤ 2730 / 35 2. Calculate 2730 divided by 35: 2730 ÷ 35 = 78 Thus, the solution is: k ≤ 78

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Bonus Knowledge

To solve the inequality \( 35k \leq 2730 \), first, we need to isolate \( k \). This is done by dividing both sides of the inequality by 35. So we get: \[ k \leq \frac{2730}{35} \] Calculating that gives us: \[ k \leq 78 \] So, \( k \) can be any value up to 78. Now, if you're ever in doubt about dividing or multiplying an inequality, remember: you only flip the inequality sign when you multiply or divide by a negative number, which is not the case here! Keep that in your back pocket for future math adventures! And speaking of adventures, understanding inequalities better can be super useful in real life, like when budgeting or planning projects where you have limits or constraints. So you see, math isn't just for the classroom—it's a toolkit for everyday life!

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