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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You're on a roll — Here are the solutions to the problems: Problem 3: Inequality for maize harvest Step 1: Define the variables. Let y be the amount of maize already harvested (in kg). Let x be the additional amount of maize the farmer must harvest (in kg). Step 2: Formulate the inequality based on the requirement. The farmer needs at least 300 kg of maize. This means the total amount harvested (y + x) must be greater than or equal to 300 kg. y + x 300 Step 3: Isolate x to show how much more he must harvest. x 300 - y The inequality showing how much more maize the farmer must harvest is x 300 - y. Problem 4: Convert speed from km/h to m/s Step 1: Write down the given speed. The speed of the train is 126 km/h. Step 2: Convert kilometers to meters. We know that 1 km = 1000 m. So, 126 km = 126 × 1000 m = 126000 m. Step 3: Convert hours to seconds. We know that 1 hour = 60 minutes and 1 minute = 60 seconds. So, 1 hour = 60 × 60 seconds = 3600 seconds. Step 4: Perform the conversion. To convert 126 km/h to m/s, we multiply by the conversion factors: Speed = 126 kmh × 1000 m1 km × 1 h3600 s Speed = (126 × 1000)/(3600) ms Speed = (126000)/(3600) ms Speed = (1260)/(36) ms Speed = 35 ms The speed of the train in m/s is 35 m/s. What's next?