Appearance
question:Dr. Amani, a historical archaeologist specializing in Medieval Swahili culture, is excavating an ancient site on the island of Zanzibar. During her excavation, she discovers a set of 24 beautifully crafted Swahili pottery pieces buried in layers of soil. She decides to carefully document and clean the artifacts to estimate their age and significance.Dr. Amani spends 15 minutes cleaning each pottery piece and an additional 10 minutes on each piece to document its details. Once cleaned and documented, she needs another 5 minutes per piece to securely pack it for transport to the lab.Calculate the total time Dr. Amani spends on cleaning, documenting, and packing all 24 pottery pieces.
answer:To solve this problem, we need to calculate the total time Dr. Amani spends on each activity (cleaning, documenting, and packing) for all 24 pottery pieces and then sum these times.1. Cleaning Time: - Dr. Amani spends 15 minutes cleaning each pottery piece. - For 24 pottery pieces, the total cleaning time is: [ 15 text{ minutes/piece} times 24 text{ pieces} = 360 text{ minutes} ]2. Documenting Time: - Dr. Amani spends 10 minutes documenting each pottery piece. - For 24 pottery pieces, the total documenting time is: [ 10 text{ minutes/piece} times 24 text{ pieces} = 240 text{ minutes} ]3. Packing Time: - Dr. Amani spends 5 minutes packing each pottery piece. - For 24 pottery pieces, the total packing time is: [ 5 text{ minutes/piece} times 24 text{ pieces} = 120 text{ minutes} ]4. Total Time: - Add the cleaning, documenting, and packing times to get the total time spent: [ 360 text{ minutes} + 240 text{ minutes} + 120 text{ minutes} = 720 text{ minutes} ]The total time Dr. Amani spends on cleaning, documenting, and packing all 24 pottery pieces is 720 minutes.# 720
question:A Federal Aviation Administration representative is testing a new air traffic control technology that is designed to reduce the average flight delay by 25%. If the average delay at a busy airport is currently 40 minutes per flight, how much time, in minutes, should the new technology save per flight? Additionally, if there are 120 flights per day at this airport, what is the total time saved in hours per day due to the implementation of this new technology?
answer:To solve this problem, we need to determine two things:1. The amount of time saved per flight due to the new technology.2. The total time saved per day for all flights at the airport.Step 1: Calculate the time saved per flight.The new technology is designed to reduce the average flight delay by 25%. The current average delay is 40 minutes per flight.- First, calculate 25% of 40 minutes:[25% times 40 = frac{25}{100} times 40 = 0.25 times 40 = 10 text{ minutes}]So, the new technology saves 10 minutes per flight.Step 2: Calculate the total time saved per day.There are 120 flights per day at the airport.- Calculate the total time saved per day in minutes:[10 text{ minutes/flight} times 120 text{ flights/day} = 1200 text{ minutes/day}]Step 3: Convert the total time saved per day into hours.Since there are 60 minutes in an hour, we convert 1200 minutes to hours:[frac{1200 text{ minutes}}{60 text{ minutes/hour}} = 20 text{ hours}]Therefore, the total time saved per day is 20 hours.# 20 hours
question:A sociologist is studying the impact of political campaigns on voter behavior in two towns, Town A and Town B. In Town A, there are 500 voters, and 60% of them were influenced by a political campaign to change their voting preference. In Town B, there are 700 voters, and 40% of them were influenced by a political campaign to change their voting preference. How many total voters were influenced by political campaigns in both Town A and Town B combined?
answer:To solve this problem, we need to calculate the number of voters influenced by the political campaign in each town and then find the total number influenced in both towns combined.Step 1: Calculate the number of voters influenced in Town A.- Total voters in Town A = 500- Percentage influenced in Town A = 60%To find the number of voters influenced in Town A, we calculate 60% of 500:[text{Number of influenced voters in Town A} = frac{60}{100} times 500 = 0.6 times 500 = 300]Step 2: Calculate the number of voters influenced in Town B.- Total voters in Town B = 700- Percentage influenced in Town B = 40%To find the number of voters influenced in Town B, we calculate 40% of 700:[text{Number of influenced voters in Town B} = frac{40}{100} times 700 = 0.4 times 700 = 280]Step 3: Calculate the total number of voters influenced in both Town A and Town B.Add the number of influenced voters from Town A and Town B:[text{Total influenced voters} = 300 + 280 = 580]After following these steps, we find that the total number of voters influenced by political campaigns in both Town A and Town B combined is:# 580
question:As a freelance travel blogger, Alex has been excited to see the world opening up again for travel. In the first month of his travels, he visited 3 countries: Spain, Italy, and Greece. In Spain, he spent 6 days and wrote 2 blog posts. In Italy, he stayed for 8 days and managed to write 3 blog posts. Finally, in Greece, he spent 5 days and wrote 1 blog post. Alex earns 150 for each blog post he writes. How much total money did Alex earn from his blog posts during this month of travel?
answer:To find out how much total money Alex earned from his blog posts during the month of travel, we need to determine the total number of blog posts he wrote and then calculate the total earnings based on his rate per blog post.Step 1: Calculate the total number of blog posts written:- In Spain, Alex wrote 2 blog posts.- In Italy, he wrote 3 blog posts.- In Greece, he wrote 1 blog post.Total number of blog posts = 2 (Spain) + 3 (Italy) + 1 (Greece) = 6 blog postsStep 2: Calculate the total earnings:Alex earns 150 for each blog post. Therefore, for 6 blog posts, his total earnings would be:Total earnings = Number of blog posts × Earnings per blog postTotal earnings = 6 × 150 = 900So, the total money Alex earned from his blog posts during this month of travel is 900.# 900
question:Jamie, a pop culture historian, is conducting a study on the influence of media on community identity. Jamie compares the number of people engaging with modern media (such as television and social media) to those attending traditional folk music events in a small town. Last month, the town held 3 folk music events, with an average of 120 attendees at each event. Meanwhile, Jamie found that an average of 500 people in the town engaged with modern media daily.If Jamie wants to find out the total number of interactions with both modern media and folk music events over the entire month (assuming the month has 30 days), how many interactions do they count in total?
answer:To solve this problem, we need to find the total number of interactions with both modern media and folk music events over the entire month.Step 1: Calculate interactions with folk music events- The town held 3 folk music events.- Each event had an average of 120 attendees.Total interactions at folk music events over the month can be calculated as follows:[text{Total interactions at folk music events} = text{Number of events} times text{Average attendees per event}][= 3 times 120 = 360]Step 2: Calculate interactions with modern media- An average of 500 people engaged with modern media daily.- The month has 30 days.Total interactions with modern media over the month can be calculated as follows:[text{Total interactions with modern media} = text{Average daily engagement} times text{Number of days in the month}][= 500 times 30 = 15000]Step 3: Calculate total interactions for bothNow, add the interactions from both sources together to get the total number of interactions over the month:[text{Total interactions} = text{Total interactions with folk music events} + text{Total interactions with modern media}][= 360 + 15000 = 15360]Thus, the total number of interactions with both modern media and folk music events over the month is 15360.# 15360
question:An educational app developer is creating a new math game for kids that involves collecting colorful shapes. Each shape has a special value based on its color and design. The developer wants to make sure the game is both engaging and visually appealing to captivate young learners.In the game, each red circle is worth 3 points, each blue square is worth 5 points, each yellow triangle is worth 2 points, and each green hexagon is worth 4 points. A young learner collects 7 red circles, 4 blue squares, 5 yellow triangles, and 6 green hexagons while playing the game.How many points did the young learner earn in total from the shapes they collected?
answer:To solve this problem, we need to calculate the total points earned by the young learner from all the shapes they collected. We'll do this by multiplying the number of each type of shape by its corresponding point value, and then summing these products.1. Calculate the points from red circles: - Each red circle is worth 3 points. - The young learner collected 7 red circles. - Total points from red circles = ( 7 times 3 = 21 ) points.2. Calculate the points from blue squares: - Each blue square is worth 5 points. - The young learner collected 4 blue squares. - Total points from blue squares = ( 4 times 5 = 20 ) points.3. Calculate the points from yellow triangles: - Each yellow triangle is worth 2 points. - The young learner collected 5 yellow triangles. - Total points from yellow triangles = ( 5 times 2 = 10 ) points.4. Calculate the points from green hexagons: - Each green hexagon is worth 4 points. - The young learner collected 6 green hexagons. - Total points from green hexagons = ( 6 times 4 = 24 ) points.5. Sum all the points together: - Total points = Points from red circles + Points from blue squares + Points from yellow triangles + Points from green hexagons. - Total points = ( 21 + 20 + 10 + 24 = 75 ) points.The total points earned by the young learner is 75.# 75