Problem

Jane's dog needs medication. She told the veterinarian that the dog weighs $65 \mathrm{lb}$. The medicine is measured as $8 \mathrm{mg}$ for each kilogram of the animal's mass How much medicine should be given to Jane's dog?

Use $1 \mathrm{lb}=0.45 \mathrm{~kg}$ and do not round any computations.
\[
\mathrm{Dmg}
\]

Answer

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Answer

\(\boxed{234 \, \text{mg}}\) is the amount of medicine Jane should give her dog.

Steps

Step 1 :Convert the weight of the dog from pounds to kilograms using the conversion factor 1 lb = 0.45 kg. The calculation is \(65 \, \text{lb} \times 0.45 \, \text{kg/lb} = 29.25 \, \text{kg}\).

Step 2 :Calculate the amount of medicine required using the dosage of 8 mg per kilogram of the animal's mass. The calculation is \(29.25 \, \text{kg} \times 8 \, \text{mg/kg} = 234 \, \text{mg}\).

Step 3 :\(\boxed{234 \, \text{mg}}\) is the amount of medicine Jane should give her dog.

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