Final answer:
The question asks for unit conversions and interpreting data. It includes converting quantities of compounds, student's height in inches, weight in pounds, speed in various units, and lumber dimensions into metric units. Conversions are based on standard conversion factors.
Step-by-step explanation:
The question seems to revolve around analyzing and interpreting data sets related to weight, height, and other measurements. One aspect of the question is about determining if a student has enough of a compound when given a specific quantity as well as unit conversions involving height, weight, and speed.
For problem 82, to check if there is enough of a compound, we need to convert 1/4 lb to grams since 1 lb is approximately 453.59237 grams, and therefore, 1/4 lb is about 113.39809 grams. Since 125 g is required, the student does not have enough of the compound.
For problem 83, to convert the student's height from centimeters to inches, we use the conversion factor that 1 inch is equal to 2.54 cm. Thus, 159 cm is approximately 62.6 inches. To convert weight from kilograms to pounds, we use the conversion factor that 1 kg is approximately 2.20462 lbs. Hence, 45.8 kg is around 100.97 pounds.
Problem 84 requires converting speed from km/h to other units. To convert km/h to mph, we use the factor that 1 km equals about 0.621371 miles. Therefore, 229.8 km/h is approximately 142.8 mph. To convert to meters per second (m/s), we note that there are 3,600 seconds in an hour and 1 km equals 1,000 meters, so 229.8 km/h is about 63.83 m/s. Finally, to convert to feet per second, knowing that 1 meter equals approximately 3.28084 feet, we find 229.8 km/h is roughly 209.36 ft/s.
For problem 85(a), the two-by-four lumber dimensions in metric can be calculated using unit conversion factors, where 1 inch is 2.54 cm and 1 foot is 0.3048 meters. Therefore, the dimensions are roughly 3.81 cm x 8.89 cm x 2.44 m.