b. A lion your answer in kilometers per hour. Give Henry sleds 75 meters down the hill in 1.5 minutes. Give your answer in meters per second. d. Rachel swims 400 meters in 32 minutes. Give your answer in kilometers per hour.

To convert the given speeds from different units to the requested units, we will use the following conversion factors: 1 kilometer = 1000 meters 1 hour = 60 minutes 1 minute = 60 seconds a. Henry sleds 75 meters down the hill in 1.5 minutes. To find the speed in meters per second, we will first convert the distance from meters to kilometers and the time from minutes to seconds. Distance in kilometers = 75 meters / 1000 = 0.075 kilometers Time in seconds = 1.5 minutes * 60 seconds/minute = 90 seconds Now, we can calculate the speed in kilometers per hour: Speed = Distance / Time = 0.075 kilometers / 90 seconds b. Rachel swims 400 meters in 32 minutes. To find the speed in kilometers per hour, we will first convert the distance from meters to kilometers and the time from minutes to hours. Distance in kilometers = 400 meters / 1000 = 0.4 kilometers Time in hours = 32 minutes / 60 minutes/hour = 0.5333 hours Now, we can calculate the speed in kilometers per hour: Speed = Distance / Time = 0.4 kilometers / 0.5333 hours Let's calculate the speeds for Henry and Rachel. Calculate the value by following steps: - step0: Calculate: \(\frac{0.075}{90}\) - step1: Convert the expressions: \(\frac{\frac{3}{40}}{90}\) - step2: Multiply by the reciprocal: \(\frac{3}{40}\times \frac{1}{90}\) - step3: Reduce the numbers: \(\frac{1}{40}\times \frac{1}{30}\) - step4: Multiply the fractions: \(\frac{1}{40\times 30}\) - step5: Multiply: \(\frac{1}{1200}\) The speed of Henry sleds down the hill is approximately 0.000833 kilometers per hour. Now, let's calculate the speed of Rachel swimming. Calculate the value by following steps: - step0: Calculate: \(\frac{0.4}{0.5333}\) - step1: Convert the expressions: \(\frac{\frac{2}{5}}{\frac{5333}{10000}}\) - step2: Multiply by the reciprocal: \(\frac{2}{5}\times \frac{10000}{5333}\) - step3: Reduce the numbers: \(2\times \frac{2000}{5333}\) - step4: Multiply: \(\frac{2\times 2000}{5333}\) - step5: Multiply: \(\frac{4000}{5333}\) The speed of Rachel swimming is approximately 0.750 kilometers per hour.