This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the problems. Question 23: Suma drove a distance of 150 km in 2 hours and 30 minutes. a) Find its speed in km/h. Step 1: Convert the total time to hours. Time = 2 hours + 30 minutes 30 minutes = (30)/(60) hours = 0.5 hours Total time = 2 hours + 0.5 hours = 2.5 hours Step 2: Calculate the speed using the formula Speed = DistanceTime. Speed = 150 km2.5 hours Speed = 60 km/h The speed in km/h is 60 km/h. b) Find his speed in m/second. Step 1: Convert the speed from km/h to m/s. We know that 1 km = 1000 m and 1 hour = 3600 seconds. Speed = 60 kmh × 1000 m1 km × 1 h3600 s Speed = (60 × 1000)/(3600) ms Speed = (60000)/(3600) ms Speed = (600)/(36) ms Speed = (100)/(6) ms Speed = 16.67 ms (rounded to two decimal places) The speed in m/s is 16.67 m/s. Question 4: The initial temperature reading on a thermometer was -6^. The temperature dropped by 5^ and rose by 8^. Use a number line to find the final temperature. Step 1: Start with the initial temperature. Initial temperature = -6^ Step 2: The temperature dropped by 5^. Temperature after drop = -6^ - 5^ = -11^ Step 3: The temperature rose by 8^. Final temperature = -11^ + 8^ = -3^ The final temperature is -3^. Send me the next one 📸