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Home » Jirachi Wish Maker: Unlock Your Dreams with This Must-Have Magical Tool! - Sterling Industries

Jirachi Wish Maker: Unlock Your Dreams with This Must-Have Magical Tool! - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 Apply the second condition:

📌 \begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} 0 \\ 1 \end{pmQuestion: A space explorer makes 25 voyages through a wormhole, 60% of which are successful. After 10 more voyages, her success rate increases to 68%. How many additional successful voyages did she achieve?

📌 Solution: Initially, the explorer has $ 25 \times 0.60 = 15 $ successful voyages. After 10 more attempts, the total voyages are $ 25 + 10 = 35 $. With a 68% success rate, total successful voyages become $ 35 \times 0.68 = 23.8 $, which rounds to 24 (since successes are whole numbers). The additional successful voyages are $ 24 - 15 = 9 $.

📌 Question: An epidemiologist models the spread of a virus in a population with the equation $ p(t) = -t^2 + 14t + 30 $, where $ p(t) $ represents the number of infected individuals at time $ t $. What is the maximum number of infected individuals?

📌 Solution: The quadratic $ p(t) = -t^2 + 14t + 30 $ opens downward. The vertex occurs at $ t = -\frac{b}{2a} = -\frac{14}{2(-1)} = 7 $. Substituting $ t = 7 $, $ p(7) = -(7)^2 + 14(7) + 30 = -49 + 98 + 30 = 79 $.

📌 \boxed{79}

📌 Question: A museum curator arranges two exhibit pathways modeled by the lines $ y = 4x - 5 $ and $ 2y + 3x = 10 $. Find their intersection point.

📌 Solution: Substitute $ y = 4x - 5 $ into the second equation: $ 2(4x - 5) + 3x = 10 $. Simplify: $ 8x - 10 + 3x = 10 \Rightarrow 11x = 20 \Rightarrow x = \frac{20}{11} $. Substitute back: $ y = 4\left(\frac{20}{11}\right) - 5 = \frac{80}{11} - \frac{55}{11} = \frac{25}{11} $.

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Try solving numerically or accept approximate.
Alternatively, factor: try rational root.
But n must be integer. Contradiction? Maybe error in setup.
But problem expects integer. Maybe typo? But assume exact.
Perhaps error in problem. But assume we accept the quadratic.
Not integer. But maybe question allows?
Alternatively, maybe typo in parameters. But proceed with exact soluti...
After careful reconsideration, perhaps the intended answer is approxim...
Therefore, likely typo. But for sake, take closest or assume we use fo...
But in real olympiad, such error unlikely.

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