High School

1. Determine the dose of medicine necessary for a patient. The required dose is 1.5 mg per kg of weight. The patient knows his weight in lb. What will be the dose for a patient who weighs 196 lb?

(Use the conversion: 1 kg = 2.20462 lb. Show your work.)

2. A person is 5'11" tall. What is her height in cm? In m?

3. A patient has a fever of 109°F. Convert the temperature into °C.

4. You are in Europe enjoying a vacation. The display shows the temperature is 32°C. What is the temperature in °F?

(Show your calculation for converting °C to °F.)

Answer :

Final answer:

To determine the dose of medicine for a patient who knows their weight in lb, convert the weight from lb to kg and multiply by the required dose. For example, if a patient weighs 196 lb, the dose would be 133.22 mg.

Explanation:

To determine the dose of medicine for a patient who knows their weight in lb, you will need to convert their weight from lb to kg. To do this, divide the weight in lb by 2.205, as 1 kg is equal to 2.205 lb. Once you have the weight in kg, you can calculate the dose by multiplying it by 1.5mg.

For example, if the patient weighs 196 lb, divide 196 by 2.205 to get the weight in kg: 196 / 2.205 = 88.81 kg. Then, multiply the weight in kg by 1.5mg: 88.81 * 1.5 = 133.22 mg. Therefore, the dose for a patient who weighs 196 lb is 133.22 mg.

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The dose for a patient weighing 196 lb is approximately 88.784 kg, height of a person who is 5'11" is approximately 180.34 cm or 1.8034 meters.

Converting lb to kg:

Since 1 lb is approximately 0.454 kg, we can convert the weight of the patient from lb to kg using the following calculation:

196 lb * 0.454 kg/lb = 88.784 kg

So, the weight of the patient is approximately 88.784 kg.

Converting feet and inches to cm and meters:

To convert height from feet and inches to centimeters, we can use the following conversion factors:

1 foot = 30.48 cm

1 inch = 2.54 cm

The height is given as 5'11", which means 5 feet and 11 inches.

Converting feet to cm: 5 feet * 30.48 cm/foot = 152.4 cm

Converting inches to cm: 11 inches * 2.54 cm/inch = 27.94 cm

Total height in cm: 152.4 cm + 27.94 cm = 180.34 cm

To convert height from cm to meters, we divide by 100:

180.34 cm / 100 = 1.8034 meters

So, the height is approximately 180.34 cm or 1.8034 meters.

Converting Fahrenheit to Celsius:

To convert Fahrenheit to Celsius, we can use the following formula:

°C = (°F - 32) * 5/9

The patient's fever is given as 109 °F. Let's calculate the temperature in Celsius:

°C = (109 - 32) * 5/9

°C = 77 * 5/9

°C ≈ 42.8 °C

So, the temperature is approximately 42.8 °C.

Converting Celsius to Fahrenheit:

To convert Celsius to Fahrenheit, we can use the following formula:

°F = (°C * 9/5) + 32

The temperature in Europe is given as 32 °C. Let's calculate the temperature in Fahrenheit:

°F = (32 * 9/5) + 32

°F = 57.6 + 32

°F ≈ 89.6 °F

So, the temperature is approximately 89.6 °F.

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