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when is zootopia 2 coming out on disney - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 5Question: A paleontologist in Patagonia discovers that the number of early mammal fossils found in each of five consecutive excavation sites forms an arithmetic sequence. If the total number of fossils found across all five sites is 125 and the largest number found at a single site is 35, what is the number of fossils found at the third site?

📌 Solution: Let the number of fossils found at the five sites be $a - 2d$, $a - d$, $a$, $a + d$, and $a + 2d$, where $a$ is the middle term and $d$ is the common difference of the arithmetic sequence. The sum of these terms is:

📌 We are told the largest number of fossils at a site is 35. Since the sequence is symmetric around $a$, the largest term is $a + 2d = 35$. Substituting $a = 25$:

📌 The number of fossils at the third site is $a = 25$.

📌 Question: An entomologist observes that the ratio of bees to butterflies visiting a crop field is $7:4$. After introducing 18 additional bees, the ratio becomes $5:3$. How many butterflies are present in the field?

📌 Solution: Let the original number of bees be $7x$ and butterflies be $4x$. After adding 18 bees, the new number of bees is $7x + 18$. The new ratio is given as $5:3$, so:

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