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
Problem 19: Step 1: Calculate the duration of one uniform time interval. The time for the 1st interval is 7:30 a.m. The time for the 2nd interval is 9:50 a.m. To find the duration, subtract the 1st interval time from the 2nd interval time: From 7:30 a.m. to 9:30 a.m. is 2 hours. From 9:30 a.m. to 9:50 a.m. is 20 minutes. So, the duration of one interval is 2 hours and 20 minutes. Let's verify this with the 2nd and 3rd intervals: From 9:50 a.m. to 12:10 p.m. From 9:50 a.m. to 10:00 a.m. is 10 minutes. From 10:00 a.m. to 12:00 p.m. is 2 hours. From 12:00 p.m. to 12:10 p.m. is 10 minutes. Total duration = 10 minutes + 2 hours + 10 minutes = 2 hours and 20 minutes. The uniform interval is indeed 2 hours and 20 minutes. Step 2: Calculate the time for the 4th interval. The 3rd interval is at 12:10 p.m. To find the 4th interval, add the uniform duration (2 hours and 20 minutes) to the 3rd interval time. Add 2 hours to 12:10 p.m.: 12:10 p.m. + 2 hours = 2:10 p.m. Now, add 20 minutes to 2:10 p.m.: 2:10 p.m. + 20 minutes = 2:30 p.m. Step 3: Verify the 4th interval time with the 5th interval. The 5th interval is at 4:50 p.m. If our 4th interval time (2:30 p.m.) is correct, adding 2 hours and 20 minutes to it should give 4:50 p.m. Add 2 hours to 2:30 p.m.: 2:30 p.m. + 2 hours = 4:30 p.m. Add 20 minutes to 4:30 p.m.: 4:30 p.m. + 20 minutes = 4:50 p.m. This matches the given 5th interval time, confirming our calculation. The nurse will check on the patient in the 4th interval at 2:30 p.m.. That's 2 down. 3 left today — send the next one.