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Home » Solution:** First, calculate the area of each rectangle. The area of the first rectangle is: - inBeat

Solution:** First, calculate the area of each rectangle. The area of the first rectangle is: - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: What is the base-ten number represented by the base-nine number $207_9$?

📌 Solution: Convert $207_9$ to base ten:

📌 Question: What is the smallest four-digit number that is divisible by 13 and ends in 7?

📌 Solution: Let the number be of the form $1000a + 10b + 7$, i.e., ends in 7. We want the smallest such number divisible by 13.

📌 Start from the smallest four-digit number ending in 7: 1007.

📌 Question: A science journalist is analyzing a dataset where each entry corresponds to a year from 1 to 200. She wants to highlight years that are both perfect squares and multiples of 4. How many such years are in the dataset?

📌 Even integers from 2 to 14: $2, 4, 6, 8, 10, 12, 14$ — total of 7 values.

📌 Each gives a perfect square divisible by 4: $4, 16, 36, 64, 100, 144, 196$.

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