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\frac10v + 123 = 24 - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A number is increased by 20% and then decreased by 25%. If the final result is 90, what was the original number?

📌 Let the original number be \( x \).

📌 After a 20% increase: \( x \times 1.2 \).

📌 After a 25% decrease: \( x \times 1.2 \times 0.75 = 90 \).

📌 Simplify: \( x \times 0.9 = 90 \).

📌 Solve for \( x \): \( x = \frac{90}{0.9} = 100 \).

📌 These questions and solutions integrate elements of algebra, geometry, and arithmetic, providing a comprehensive challenge suitable for advanced high school students.

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The scores are: 65, 71, 77, 83, 89.
The average score is the sum divided by 5:
\text{Average} = \frac{65 + 71 + 77 + 83 + 89}{5} = \frac{385}{5} = 77
#### 77
A cylindrical tank has a height of 10 meters and a radius of 3 meters....
The volume \( V \) of a cylinder is:
V = \pi r^2 h
Substitute \( r = 3 \), \( h = 10 \), and \( \pi \approx 3.14 \):
V = 3.14 \times 3^2 \times 10 = 3.14 \times 9 \times 10 = 3.14 \times...
80% of the volume is:

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