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.
ScanSolve AI Answer
Welcome back Mukamwiza — missed you this week. Here are the solutions to your questions: Question 1: It takes 9 minutes to walk around the school field once. How long does it take to walk around the school 7 times? Step 1: Identify the given values. Time for one round = 9 minutes Number of rounds = 7 Step 2: Calculate the total time. Total time = Time for one round × Number of rounds Total time = 9 minutes × 7 Total time = 63 minutes The total time taken is 63 minutes. Question 2: I have six water tanks. Each tank holds 1500 litres of water. How many litres of water can my tanks hold? Step 1: Identify the given values. Number of tanks = 6 Volume per tank = 1500 litres Step 2: Calculate the total volume. Total volume = Number of tanks × Volume per tank Total volume = 6 × 1500 litres Total volume = 9000 litres The tanks can hold a total of 9000 litres of water. Question 3: A rectangular tank has a volume of 7 m³. It is 9 m wide and 7 m high. Find the length of the tank. Step 1: Write down the formula for the volume of a rectangular tank. The volume V of a rectangular tank is given by: V = length × width × height V = L × W × H Step 2: Substitute the given values into the formula. Given: V = 7 m^3, W = 9 m, H = 7 m. 7 m^3 = L × 9 m × 7 m Step 3: Solve for the length L. 7 m^3 = L × 63 m^2 L = 7 m^363 m^2 L = (1)/(9) m The length of the tank is (1)/(9) m. Question 4: Study the cuboid below. Its volume is 4536 m³. Find its width. To find the width of the cuboid, we need its length and height. The image of the cuboid with these dimensions is not provided. Please provide the image or the length and height values. Question 5: Calculate the number of moles in the solution. The formula for the number of moles (n) is: n = Molarity (M) × Volume (V in litres) a) 750 cm³ of 0.8 M solution Step 1: Convert the volume from cm³ to litres. V = 750 cm^3 = (750)/(1000) L = 0.750 L Step 2: Calculate the number of moles. n = 0.8 M × 0.750 L n = 0.6 mol The number of moles is 0.6 mol. b) 100 cm³ of 0.5 M solution Step 1: Convert the volume from cm³ to litres. V = 100 cm^3 = (100)/(1000) L = 0.100 L Step 2: Calculate the number of moles. n = 0.5 M × 0.100 L n = 0.05 mol The number of moles is 0.05 mol. c) 54 litres of 0.24 M solution Step 1: The volume is already in litres. V = 54 L Step 2: Calculate the number of moles. n = 0.24 M × 54 L n = 12.96 mol The number of moles is 12.96 mol. Send me the next one 📸