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Home » Unlock the Mystery: Which Nashville ZIP Code Offers the Best Neighborhood Living? - Carbonext

Unlock the Mystery: Which Nashville ZIP Code Offers the Best Neighborhood Living? - Carbonext

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 A rectangular garden measures 20 meters by 15 meters. If a path of uniform width is built around the garden, increasing the total area to 396 square meters, what is the width of the path?

📌 Let the width of the path be w meters. New dimensions are (20 + 2w) by (15 + 2w).

📌 New area = (20 + 2w)(15 + 2w) = 396.

📌 Expanding, 300 + 70w + 4w² = 396.

📌 Simplifying, 4w² + 70w - 96 = 0.

📌 Solving this quadratic using the quadratic formula, w = [-70 ± √(70² - 4*4*(-96))] / (2*4).

📌 Discriminant = 4900 + 1536 = 6436, √6436 ≈ 80.23.

📌 w = [-70 ± 80.23] / 8. Possible positive root, w = (80.23 - 70) / 8 ≈ 1.28.

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A rectangle has a length of 12 meters and a width of 8 meters. What is...
Area = 12 × 8 = <<12*8=96>>96 square meters.
Diagonal = √(12² + 8²) = √(144 + 64) = √208 ≈ <<sqrt(208)=14.4>>14.4 m...
#### 96, 14.4
A scientist measures the concentration of a chemical in a solution to...
Amount = 0.05 × 2,500 = <<0.05*2500=125>>125 grams.
#### 125
A population of bacteria doubles every 3 hours. If the initial populat...
After 3 hours: 500 × 2 = 1,000
After 6 hours: 1,000 × 2 = 2,000

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