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how much does ebay charge to sell - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: An entomologist observes that the number of bees and butterflies in a field is in the ratio $ 7:5 $. If there are 35 bees, how many butterflies are there?

📌 Solution: Let the number of bees be $ 7x $ and the number of butterflies be $ 5x $. Given $ 7x = 35 $:

📌 Let $ a = 105 $, $ d = 7 $, $ a_n = 994 $:

📌 Solution: The sequence is arithmetic with first term $ a = 2 $, common difference $ d = 4 $, and last term $ l = 198 $.

📌 Solution: The sequence is arithmetic with $ a = 5 $, $ d = 7 $, and $ l = 96 $.

📌 Question: An entomologist studies a group of insects where the ratio of beetles to ladybugs is $ 8:3 $. If there are 24 beetles, how many ladybugs are there?

📌 Solution: Let the number of beetles be $ 8x $ and the number of ladybugs be $ 3x $. Given $ 8x = 24 $:

📌 Question: What is the sum of the distinct prime factors of 420?

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