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Home » Round to nearest integer: \( n = 10 \). - Veritas Home Health

Round to nearest integer: \( n = 10 \). - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Emily is designing a garden with a rectangular layout. The length of the garden is 5 meters longer than twice its width. If the perimeter of the garden is 54 meters, what are the dimensions of the garden?

📌 Let \( w \) represent the width.

📌 The length \( l \) is \( 2w + 5 \).

📌 The perimeter formula is \( 2l + 2w = 54 \).

📌 Substitute \( l = 2w + 5 \) into the perimeter formula: \( 2(2w + 5) + 2w = 54 \).

📌 Simplify and solve for \( w \): \( 4w + 10 + 2w = 54 \) becomes \( 6w + 10 = 54 \).

📌 Subtract 10: \( 6w = 44 \).

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Time for first part = \( \frac{300}{100} = 3 \) hours.
Time for second part = \( \frac{200}{80} = 2.5 \) hours.
Total time = \( 3 + 2.5 = 5.5 \) hours.
Average speed = \( \frac{\text{Total distance}}{\text{Total time}} = \...
A cone has a base radius of 4 cm and a height of 9 cm. What is its vol...
Volume formula for a cone: \( V = \frac{1}{3} \pi r^2 h \).
Substitute the values: \( V = \frac{1}{3} \times 3.14 \times 4^2 \time...
Calculate: \( V = \frac{1}{3} \times 3.14 \times 16 \times 9 \).
Simplify: \( V = \frac{1}{3} \times 3.14 \times 144 \).
\( V = \frac{1}{3} \times 452.16 = 150.72 \) cubic cm.

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