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question:A compliance consultant named Alex attends an industry conference that lasts for 3 days. On the first day, Alex connects with 12 professionals. Each day, the number of professionals Alex connects with increases by 8. By the end of the conference, Alex has scheduled collaboration meetings with 1/3 of the total professionals they connected with during the entire conference. How many collaboration meetings has Alex scheduled?
answer:To solve the problem, we need to determine the total number of professionals Alex connects with during the entire 3-day conference and then find out how many collaboration meetings Alex schedules.Step 1: Determine the number of professionals Alex connects with each day.- On the first day, Alex connects with 12 professionals.- On the second day, the number of professionals increases by 8, so Alex connects with: [ 12 + 8 = 20 text{ professionals} ]- On the third day, the number of professionals again increases by 8, so Alex connects with: [ 20 + 8 = 28 text{ professionals} ]Step 2: Find the total number of professionals Alex connects with over the 3 days.Add up the number of professionals connected with each day:[12 + 20 + 28 = 60]Step 3: Calculate the number of collaboration meetings scheduled.Alex schedules collaboration meetings with ( frac{1}{3} ) of the total professionals they connected with:[frac{1}{3} times 60 = 20]Therefore, Alex has scheduled 20 collaboration meetings.# 20
question:The local theater director has decided to stage a series of overlooked classic plays. For this season, she plans to put on 4 different plays. Each play will have 5 performances. The director expects an average of 120 people to attend each performance. Tickets are priced at 15 per person. 1. How many total performances will there be in the season?2. How many people in total does the director expect to attend all performances?3. How much total revenue does the director expect from ticket sales for the entire season?
answer:To solve the problem, we'll go through each part step by step:1. Total Performances Calculation: - The director plans to put on 4 different plays. - Each play will have 5 performances. - Therefore, the total number of performances for the season is calculated by multiplying the number of plays by the number of performances per play. [ text{Total Performances} = 4 text{ plays} times 5 text{ performances per play} = 20 text{ performances} ]2. Total Attendance Calculation: - The director expects an average of 120 people to attend each performance. - With 20 total performances, the total expected attendance is the product of the number of performances and the average attendance per performance. [ text{Total Attendance} = 20 text{ performances} times 120 text{ people per performance} = 2400 text{ people} ]3. Total Revenue Calculation: - Tickets are priced at 15 per person. - The total revenue from ticket sales can be calculated by multiplying the total expected attendance by the ticket price. [ text{Total Revenue} = 2400 text{ people} times 15 text{ per person} = 36,000 ]Now, to provide the final answer:# 20 performances, 2400 people, 36,000 revenue
question:Alex is an IT technician who specializes in managing GitLab servers. He needs to set up a series of new repositories for a project. For each project, Alex requires 3 main repositories: one for the source code, one for documentation, and one for testing scripts. If Alex is working on 4 different projects, how many GitLab repositories does he need to set up in total?
answer:To solve the problem, we need to determine how many GitLab repositories Alex needs to set up in total for his projects.1. Identify the number of repositories per project: Alex requires 3 main repositories for each project: - One for the source code - One for documentation - One for testing scripts Therefore, each project requires 3 repositories.2. Determine the number of projects Alex is working on: Alex is working on 4 different projects.3. Calculate the total number of repositories needed: Since each project requires 3 repositories, and Alex is working on 4 projects, we multiply the number of repositories per project by the number of projects: [ text{Total repositories} = 3 text{ repositories/project} times 4 text{ projects} = 12 text{ repositories} ]Thus, Alex needs to set up a total of 12 GitLab repositories for his projects.# 12
question:At the artist's poker game, the seasoned gambler finds the creative energy so exhilarating that they decide to keep track of their wins and losses over the evening. In the first round, they start with 100 and win 25. In the second round, they lose 15. In the third round, they win 30, and in the fourth round, they lose 20. Finally, in the fifth round, they win an additional 40. How much money does the seasoned gambler have at the end of the evening?
answer:To solve the problem of determining how much money the seasoned gambler has at the end of the evening, we'll keep track of the wins and losses through each round.1. Initial Amount: - The gambler starts with 100.2. First Round: - The gambler wins 25. - New total: 100 + 25 = 125.3. Second Round: - The gambler loses 15. - New total: 125 - 15 = 110.4. Third Round: - The gambler wins 30. - New total: 110 + 30 = 140.5. Fourth Round: - The gambler loses 20. - New total: 140 - 20 = 120.6. Fifth Round: - The gambler wins 40. - New total: 120 + 40 = 160.The final amount of money the seasoned gambler has at the end of the evening is:# 160
question:Coach O'Reilly is preparing his football team in Cavan for an upcoming tournament. He has 15 players on the team. During practice, each player needs 2 liters of water to stay hydrated. For the tournament, Coach O'Reilly decides to bring 3 times the amount of water used during a single practice session to ensure there is enough for the entire day. How many liters of water does Coach O'Reilly need to bring for the tournament?
answer:To solve this problem, we can follow these steps:1. Determine the amount of water needed per player during practice: - Each player needs 2 liters of water during practice.2. Calculate the total amount of water needed for all players during a practice session: - There are 15 players on the team. - Total water needed for practice = Number of players × Water needed per player - Total water needed for practice = 15 players × 2 liters/player = 30 liters3. Calculate the amount of water needed for the tournament: - Coach O'Reilly wants to bring 3 times the amount of water used during a single practice session. - Water needed for the tournament = 3 × Total water needed for practice - Water needed for the tournament = 3 × 30 liters = 90 litersTherefore, Coach O'Reilly needs to bring 90 liters of water for the tournament.# 90
question:The skeptic is exploring a city known for its mysterious alleyways and haunted buildings. In one particular investigation, they discover that there are 7 alleyways, each rumored to have 3 ghost sightings every month. However, after careful inspection, they find out that only 2 out of every 3 sightings are actually explainable urban legends. The skeptic wants to figure out how many genuine ghost sightings occur in all the alleyways combined over the course of 4 months. How many genuine ghost sightings do they calculate?
answer:To solve this problem, let's break it down step by step:1. Determine the total number of ghost sightings per month for one alleyway: Each alleyway has 3 ghost sightings every month.2. Calculate the total number of ghost sightings for all alleyways per month: There are 7 alleyways, and each has 3 sightings per month. Therefore, the total number of sightings per month across all alleyways is: [ 7 text{ alleyways} times 3 text{ sightings per alleyway} = 21 text{ sightings per month} ]3. Calculate the total number of sightings over 4 months: Over the course of 4 months, the total number of sightings is: [ 21 text{ sightings per month} times 4 text{ months} = 84 text{ sightings} ]4. Determine the proportion of genuine ghost sightings: It is given that only 1 out of every 3 sightings is a genuine ghost sighting (since 2 out of 3 are urban legends).5. Calculate the number of genuine ghost sightings: The number of genuine ghost sightings is one-third of the total sightings. Therefore: [ frac{1}{3} times 84 = 28 text{ genuine ghost sightings} ]Thus, the number of genuine ghost sightings over the course of 4 months is (28).# 28