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 from the image: Problem 1: Clock Face The clock face shows the time as "fifteen minutes to twelve". This means the time is 11:45. The minute hand is pointing at 9 (45 minutes past the hour), and the hour hand is between 11 and 12, closer to 12. The clock in the image correctly displays this time. Problem 2: Money Sharing Ratio John and Paul shared money in the ratio of 2:3 respectively. John received Sh 12000. We need to find how much more money Paul got than John. Step 1: Determine the value of one ratio part. John's share corresponds to 2 parts of the ratio. 2 parts = Sh 12000 1 part = Sh 120002 = Sh 6000 Step 2: Calculate Paul's share. Paul's share corresponds to 3 parts of the ratio. Paul's share = 3 × Sh 6000 = Sh 18000 Step 3: Calculate the difference in money Paul got compared to John. Difference = Paul's share - John's share Difference = Sh 18000 - Sh 12000 Difference = Sh 6000 Paul got Sh 6000 more money than John. Problem 3: Electric Poles Electric poles are fixed 4.5 m apart in a straight line. We need to find how many electric poles are needed to cover a distance of 22 m. Step 1: Calculate the number of intervals required to cover the distance. The number of intervals is the total distance divided by the distance between poles. Number of intervals = Total distanceDistance between poles Number of intervals = 22 m4.5 m Number of intervals = (22)/(4.5) = (220)/(45) = (44)/(9) ≈ 4.888... Step 2: Determine the number of poles. Since we need to cover the entire distance of 22 m, we must have enough intervals. If we have N poles, there are N-1 intervals between them. The total length covered by these intervals must be at least 22 m. (N-1) × 4.5 m 22 m N-1 (22)/(4.5) N-1 4.888... Since the number of intervals (N-1) must be a whole number, we round up to the next integer to ensure the distance is fully covered. N-1 = 5 N = 5 + 1 N = 6 This means 6 poles are needed. The first pole is at 0 m, and the 6th pole will be at 5 × 4.5 m = 22.5 m, which covers the required 22 m distance. The number of electric poles needed is 6.