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
Here are the solutions to the problems: Problem 1: Playground usage Step 1: Determine the total time available for the playground. The playground is available for 90 minutes in total. Step 2: Calculate the number of sessions your class uses. Your class uses (1)/(3) of the total 21 sessions. Class sessions = (1)/(3) × 21 = 7 sessions Step 3: Calculate the duration of each session. The total time (90 minutes) is divided among 21 sessions. Duration per session = 90 minutes21 sessions Step 4: Calculate the total time your class spends on the playground. Multiply the number of sessions your class uses by the duration of each session. Total time for class = 7 sessions × 90 minutes21 sessions Total time for class = (630)/(21) minutes Total time for class = 30 minutes Your class spends 30 minutes on the playground. Problem 2: Temperature drop Step 1: Note the initial temperature. Initial temperature at 8 AM = 12^. Step 2: Calculate the temperature at 12 PM. The temperature drops by 4^ by 12 PM. Temperature at 12 PM = 12^ - 4^ Temperature at 12 PM = 8^ Step 3: Calculate the temperature at 6 PM. The temperature drops another 9^ by 6 PM. Temperature at 6 PM = 8^ - 9^ Temperature at 6 PM = -1^ The temperature at 6 PM is -1^. Problem 3: Tyre ratio Step 1: Determine the total number of parts in the ratio. The ratio for tyre swings, balancing beams, and climbing walls is 3:2:1. Total parts = 3 + 2 + 1 = 6 Step 2: Calculate the value of one part. There are 60 tyres in total. Value of one part = 60 tyres6 parts Value of one part = 10 tyres/part Step 3: Calculate the number of tyres used for tyre swings. Tyre swings correspond to 3 parts of the ratio. Tyres for swings = 3 × 10 tyres/part Tyres for swings = 30 tyres The number of tyres used for the tyre swings is 30 tyres. 3 done, 2 left today. You're making progress.