answer:To solve the problem, we need to calculate the total time the student spends on research activities during the week. This includes time spent visiting libraries, archives, and writing the weekly report.1. Calculate the time spent visiting libraries: - The student visits 3 libraries. - Each library visit takes 2 hours. - Total time spent on library visits = Number of libraries × Time per library visit = 3 libraries × 2 hours/library = 6 hours.2. Calculate the time spent visiting archives: - The student visits 4 archives. - Each archive visit takes 3 hours. - Total time spent on archive visits = Number of archives × Time per archive visit = 4 archives × 3 hours/archive = 12 hours.3. Calculate the time spent writing the report: - The student spends 5 hours each week writing a report.4. Calculate the total time spent on all research activities: - Total time = Time spent visiting libraries + Time spent visiting archives + Time spent writing the report. - Total time = 6 hours (libraries) + 12 hours (archives) + 5 hours (report) = 23 hours.Thus, the student spends a total of 23 hours on research activities that week.# 23

answer:To solve the problem, we need to perform a series of calculations based on the given information.1. Initial Length of the Copper Wire: - The initial length of the copper wire is given as 10 nanometers.2. Strain Engineering - Stretching the Wire: - The wire is stretched by 20%. This means the length of the wire increases by 20% of its original length. - To find the amount by which the wire is stretched, calculate 20% of 10 nanometers. [ text{Stretch Amount} = 0.20 times 10 = 2 text{ nanometers} ]3. New Length of the Copper Wire: - Add the stretch amount to the initial length to get the new length of the wire. [ text{New Length} = 10 text{ nanometers} + 2 text{ nanometers} = 12 text{ nanometers} ]4. Comparison with Another Nano Wire: - The length of the other nano wire is given as 15 nanometers. - To find out how much shorter Alex's stretched wire is compared to the 15-nanometer wire, subtract the new length of Alex's wire from the length of the other wire. [ text{Difference} = 15 text{ nanometers} - 12 text{ nanometers} = 3 text{ nanometers} ]Therefore, Alex's stretched wire is 3 nanometers shorter than the 15-nanometer wire.# 3

answer:To solve this problem, we need to calculate the total time Jamie will spend editing all the clips and then determine how much more time is needed to finish editing the remaining clips.1. Determine the total number of clips: Jamie shoots 15 different clips.2. Time spent editing each clip: Jamie spends 4 minutes editing each clip.3. Calculate the total editing time for all clips: Since there are 15 clips and each takes 4 minutes to edit, the total editing time is calculated as follows: [ text{Total editing time} = 15 text{ clips} times 4 text{ minutes/clip} = 60 text{ minutes} ]4. Identify the number of clips already edited: Jamie has already completed editing 5 clips.5. Calculate the editing time for clips already edited: [ text{Time spent on already edited clips} = 5 text{ clips} times 4 text{ minutes/clip} = 20 text{ minutes} ]6. Determine the number of clips remaining to be edited: [ text{Remaining clips} = 15 text{ total clips} - 5 text{ edited clips} = 10 text{ clips} ]7. Calculate the time needed to edit the remaining clips: [ text{Time needed for remaining clips} = 10 text{ clips} times 4 text{ minutes/clip} = 40 text{ minutes} ]Now, let's provide the final answer.# 40

answer:To solve this problem, we need to calculate the total amount of time Maria spends on her work and personal activities throughout a typical weekday, excluding sleep.1. Morning Routine: - Kids ready for school: 45 minutes - Breakfast preparation: 30 minutes - Tidying up: 15 minutes - Total morning routine = 45 + 30 + 15 = 90 minutes2. Work Hours: - Morning work session: From 8:00 AM to 12:00 PM, which is 4 hours (240 minutes). - Lunch break: 30 minutes - Afternoon work session: From 12:30 PM to 3:00 PM, which is 2.5 hours (150 minutes). - Total work time = 240 + 150 = 390 minutes3. Evening Routine: - Helping with homework: 1 hour (60 minutes) - Preparing dinner: 30 minutes - Dinner: 45 minutes - Writing blog post: 1 hour (60 minutes) - Total evening routine = 60 + 30 + 45 + 60 = 195 minutes4. Total Time Spent on Activities: - Total time spent on activities = Morning routine + Work hours + Evening routine - Total time spent on activities = 90 + 390 + 195 = 675 minutes5. Convert Total Time to Hours: - 675 minutes = 675 / 60 = 11 hours and 15 minutesTherefore, Maria spends a total of 11 hours and 15 minutes on her work and personal activities during a typical weekday.# 11 hours and 15 minutes

answer:To find the total amount of money Fatima spends, we need to calculate the cost of the necklaces and the cost of the cloth separately, and then add them together.Step 1: Calculate the cost of the necklaces1. Each necklace is made with 12 beads.2. Each bead costs 2 Sudanese pounds.3. Therefore, the cost of one necklace is: [ 12 text{ beads} times 2 text{ pounds/bead} = 24 text{ pounds} ]4. Fatima buys 3 necklaces, so the total cost for the necklaces is: [ 3 text{ necklaces} times 24 text{ pounds/necklace} = 72 text{ pounds} ]Step 2: Calculate the cost of the cloth1. Each piece of cloth costs 15 Sudanese pounds.2. Fatima buys 4 pieces of cloth.3. Therefore, the total cost for the cloth is: [ 4 text{ pieces} times 15 text{ pounds/piece} = 60 text{ pounds} ]Step 3: Calculate the total cost1. Add the total cost of the necklaces and the total cost of the cloth: [ 72 text{ pounds} + 60 text{ pounds} = 132 text{ pounds} ]Thus, the total amount of money Fatima spends is 132 Sudanese pounds.# 132

answer:To solve the problem, we need to calculate the total weekly hours she spent on studying during law school and compare it to the total weekly hours she spends on work-related activities now as a prosecutor.Step 1: Calculate weekly study hours during law school.- She studied 3 hours each weekday. [ text{Weekday study hours} = 3 text{ hours/day} times 5 text{ days/week} = 15 text{ hours/week} ]- She studied 5 hours each day on weekends. [ text{Weekend study hours} = 5 text{ hours/day} times 2 text{ days/week} = 10 text{ hours/week} ]- Total study hours during law school: [ text{Total study hours} = 15 text{ hours/week} + 10 text{ hours/week} = 25 text{ hours/week} ]Step 2: Calculate weekly work-related hours as a prosecutor.- She works 8 hours each weekday. [ text{Weekday work hours} = 8 text{ hours/day} times 5 text{ days/week} = 40 text{ hours/week} ]- She spends 2 hours each weekend day reviewing cases. [ text{Weekend review hours} = 2 text{ hours/day} times 2 text{ days/week} = 4 text{ hours/week} ]- Total work-related hours as a prosecutor: [ text{Total work-related hours} = 40 text{ hours/week} + 4 text{ hours/week} = 44 text{ hours/week} ]Step 3: Calculate the difference in weekly hours.- Difference in hours between her current work-related hours and her law school study hours: [ text{Difference} = 44 text{ hours/week} - 25 text{ hours/week} = 19 text{ hours/week} ]Thus, she spends 19 more hours per week on work-related activities now than she did on studying during law school.# 19