First, calculate the total number of hours in a week for Column A. There are 7 days in a week and 24 hours in a day, so there are \(7 \times 24 = 168\) hours in a week. Next, find 0.4 of this total: \(0.4 \times 168 = 67.2\) hours. So, the quantity in Column A is 67.2 hours. The quantity in Column B is 68 hours. Therefore, the quantity in Column B is greater.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like converting meters to feet using the factor 1 m ≈ 3.2808 ft. In this scenario, the question involves a builder measuring a fence section as 4.00 m long, providing an opportunity to apply the conversion of meters to feet. Choice B is correct because it accurately applies the conversion factor to change 4.00 m into feet, resulting in approximately 13.12 ft (4 × 3.2808). Choice A is incorrect because it reflects a common misconception of dividing, often occurring when students reverse the factor. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like converting minutes to seconds using the factor 1 minute = 60 seconds. In this scenario, the question involves students recording a reaction time of 2.5 minutes in a lab, providing an opportunity to apply the conversion of minutes to seconds. Choice B is correct because it accurately applies the conversion factor to change 2.5 minutes into seconds, resulting in 150 seconds (2.5 × 60). Choice A is incorrect because it reflects a common misconception of dividing by 60, often occurring when students confuse the direction. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like converting kilometers to miles using the factor 1 km ≈ 0.6214 mi. In this scenario, the question involves a family planning a route of 50 km to a park, providing an opportunity to apply the conversion of kilometers to miles. Choice A is correct because it accurately applies the conversion factor to change 50 km into miles, resulting in approximately 31.07 mi (50 × 0.6214). Choice B is incorrect because it reflects a common misconception of using the inverse factor, often occurring when students mix up which unit is larger. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like calculating time in hours using the formula time = distance / speed. In this scenario, the question involves a family driving 90 mi at 45 mi/h to visit friends, providing an opportunity to apply the calculation of time in hours. Choice B is correct because it accurately applies the formula to find the time as 2 hours (90 / 45). Choice A is incorrect because it reflects a common misconception of halving incorrectly, often occurring when students misapply division. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like converting liters to milliliters using the factor 1 L = 1000 mL. In this scenario, the question involves a lab using 1.20 L of solution in a beaker, providing an opportunity to apply the conversion of liters to milliliters. Choice B is correct because it accurately applies the conversion factor to change 1.20 L into milliliters, resulting in 1200 mL (1.20 × 1000). Choice A is incorrect because it reflects a common misconception of dividing instead of multiplying, often occurring when students confuse the direction of conversion. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like converting milliliters to tablespoons using the factor 1 tbsp = 15 mL. In this scenario, the question involves a chef needing 90 mL of lemon juice for a drink, providing an opportunity to apply the conversion of milliliters to tablespoons. Choice B is correct because it accurately applies the conversion factor to change 90 mL into tablespoons, resulting in 6 tbsp (90 / 15). Choice A is incorrect because it reflects a common misconception of subtracting, often occurring when students misapply division. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

This question tests middle school quantitative reasoning skills, specifically converting between units of length, time, and capacity. Understanding unit conversion requires knowing the appropriate conversion factors and applying them correctly to change units from one to another, like converting liters to gallons using the factor 1 L ≈ 0.2642 gal. In this scenario, the question involves students pouring 2.00 L of water into a container for testing, providing an opportunity to apply the conversion of liters to gallons. Choice A is correct because it accurately applies the conversion factor to change 2.00 L into gallons, resulting in approximately 0.53 gal (2 × 0.2642). Choice B is incorrect because it reflects a common misconception of ignoring the factor, often occurring when students assume equivalence. To help students: Emphasize the importance of checking conversion factors and ensuring calculations follow the logical steps required for accurate conversion. Practice with a variety of unit conversions across contexts to build fluency.

First, convert the speed to meters per second. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. Speed = \(90 \frac{\text{km}}{\text{hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{90000}{3600} \frac{\text{m}}{\text{s}} = 25 \frac{\text{m}}{\text{s}}\). Second, calculate the distance traveled in 10 seconds: Distance = Speed × Time = \(25 \frac{\text{m}}{\text{s}} \times 10 \text{ s} = 250 \text{ meters}\).

First, convert all measurements to feet. The length is 12 yards, which is \(12 \text{ yards} \times 3 \text{ feet/yard} = 36 \text{ feet}\). The width is already in feet (15 feet). Next, calculate the perimeter of the garden: \(P = 2 \times(\text{length} + \text{width}) = 2 \times(36 + 15) = 2 \times 51 = 102 \text{ feet}\). Finally, calculate the total cost: \(102 \text{ feet} \times \$2.50/\text{foot} = \$255.00\).