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Use the information below (show your work):

[tex]\[ D = \frac{a}{a+12} \cdot M \][/tex]

where
[tex]\[ D = \text{child's dosage in milligrams} \][/tex]
[tex]\[ a = \text{age of the child} \][/tex]
[tex]\[ M = \text{adult dosage in milligrams} \][/tex]

The adult weighs 84.09 kg. Calculate the adult's weight in pounds (lbs).

Tip: Use the measurement conversion chart in your textbook. Show your work and round your final answer to 2 decimal places.



Answer :

GinnyAnswer
Certainly! Let's proceed step by step to convert the adult's weight from kilograms to pounds.

1. Identify the adult's weight in kilograms:
The weight of the adult is given as 84.09 kilograms (kg).

2. Find the conversion factor from kilograms to pounds:
According to the standard conversion factor, 1 kilogram is approximately equal to 2.20462 pounds.

3. Set up the conversion calculation:
To convert the weight from kilograms to pounds, we will multiply the weight in kilograms by the conversion factor.

The formula to convert kilograms to pounds is:
[tex]\[ \text{Weight in pounds} = \text{Weight in kilograms} \times \text{Conversion factor} \][/tex]

4. Perform the calculation:
[tex]\[ 84.09 \: \text{kg} \times 2.20462 \: \frac{\text{lbs}}{\text{kg}} \][/tex]

Now, let's multiply:
[tex]\[ 84.09 \times 2.20462 = 185.38649579999998 \: \text{lbs} \][/tex]

5. Round the result to 2 decimal places:
The weight in pounds, rounded to two decimal places, is:
[tex]\[ 185.39 \: \text{lbs} \][/tex]

So, after converting the weight from kilograms to pounds and rounding to two decimal places, the adult's weight is:

[tex]\[ 84.09 \: \text{kg} = 185.39 \: \text{lbs} \][/tex]

Thus, the adult's weight is 185.39 pounds.

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