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question:Sarah is a project manager at a large corporation and is expecting her first child. She is currently planning her maternity leave. Her company policy allows her 12 weeks of paid maternity leave. Sarah wants to make sure her projects are on track before she leaves, so she decides to spend an additional 2 weeks before her maternity leave to finalize everything with her team. If she starts her preparation 10 weeks before her due date, how many weeks will she be working before she begins her maternity leave?
answer:To solve this problem, we need to determine how many weeks Sarah will be working before she starts her maternity leave.1. Understanding the timeline: - Sarah is planning to start her preparation 10 weeks before her due date. - She wants to spend an additional 2 weeks before her maternity leave to finalize everything with her team.2. Calculate when she starts her maternity leave: - Since she spends 2 weeks finalizing her projects, she will start her maternity leave after those 2 weeks. - Therefore, she will start her maternity leave 2 weeks after she begins her preparation.3. Calculate the total weeks she will be working: - She starts her preparation 10 weeks before her due date. - She will work for 2 weeks to finalize her projects. - Therefore, she will be working for the 2 weeks before she starts her maternity leave.4. Determine how many weeks she is working before maternity leave: - Since she starts her preparation 10 weeks before her due date and works for 2 weeks to finalize her projects, she will be working for 8 weeks (10 weeks - 2 weeks).Thus, Sarah will be working for 8 weeks before she begins her maternity leave.# 8
question:An adoption coordinator is working to find homes for research animals. She has 24 rabbits, 18 guinea pigs, and 12 mice that are ready for adoption. She plans to match each adopter with either 1 rabbit, 2 guinea pigs, or 3 mice. If she successfully matches all the research animals with adopters, how many adopters has she worked with in total?
answer:To solve this problem, we need to determine how many adopters the adoption coordinator has worked with when all research animals have been matched with adopters.1. Determine the number of adopters for rabbits: - Each adopter gets 1 rabbit. - There are 24 rabbits. - Therefore, there are 24 adopters for the rabbits.2. Determine the number of adopters for guinea pigs: - Each adopter gets 2 guinea pigs. - There are 18 guinea pigs. - To find the number of adopters, divide the total number of guinea pigs by the number each adopter receives: [ frac{18}{2} = 9 ] - Therefore, there are 9 adopters for the guinea pigs.3. Determine the number of adopters for mice: - Each adopter gets 3 mice. - There are 12 mice. - To find the number of adopters, divide the total number of mice by the number each adopter receives: [ frac{12}{3} = 4 ] - Therefore, there are 4 adopters for the mice.4. Calculate the total number of adopters: - We simply add the number of adopters for each type of animal: [ 24 text{ (rabbits)} + 9 text{ (guinea pigs)} + 4 text{ (mice)} = 37 ]Thus, the total number of adopters the adoption coordinator has worked with is 37.# 37
question:Dr. Tanaka, a literary scholar, has been analyzing the portrayal of the Meiji Restoration in Japanese literature. She is planning to write a comprehensive book and has decided to include 5 chapters, each focusing on a different aspect of the Meiji Restoration as depicted in 3 famous novels. In each chapter, she plans to analyze 4 specific themes from each novel. How many themes in total will Dr. Tanaka analyze in her book?
answer:To solve this problem, we need to determine the total number of themes Dr. Tanaka will analyze in her book.1. We are given that there are 5 chapters in the book.2. Each chapter focuses on 3 famous novels.3. For each novel, Dr. Tanaka analyzes 4 specific themes.To find the total number of themes analyzed in one chapter, we calculate:[3 text{ novels} times 4 text{ themes per novel} = 12 text{ themes per chapter}]Since there are 5 chapters, we multiply the number of themes per chapter by the number of chapters:[12 text{ themes per chapter} times 5 text{ chapters} = 60 text{ themes in total}]Thus, the total number of themes Dr. Tanaka will analyze in her book is 60.# 60
question:A music producer is working on creating and mixing tracks for a radio host's show. The show is 2 hours long and needs to have exactly 8 music tracks. Each track must be followed by a 5-minute segment where the host discusses the track. If each music track is 10 minutes long, how much of the show is left for other content, such as commercials and interviews, after all the tracks and discussion segments have been included?
answer:To solve this problem, let's break it down step-by-step:1. Determine the total duration of the music tracks. - There are 8 music tracks, and each track is 10 minutes long. - Total duration of music tracks = 8 tracks × 10 minutes/track = 80 minutes.2. Determine the total duration of the discussion segments. - Each music track is followed by a 5-minute discussion segment. - There are 8 discussion segments since there are 8 tracks. - Total duration of discussion segments = 8 segments × 5 minutes/segment = 40 minutes.3. Calculate the total time taken by the music tracks and discussion segments. - Total time for tracks and discussions = 80 minutes (music) + 40 minutes (discussion) = 120 minutes.4. Determine the total length of the radio show. - The radio show is 2 hours long. - Convert hours to minutes: 2 hours = 2 × 60 minutes/hour = 120 minutes.5. Calculate how much time is left for other content. - Total show time = 120 minutes. - Total time for music and discussions = 120 minutes. - Time left for other content = Total show time - Time for music and discussions = 120 minutes - 120 minutes = 0 minutes.Therefore, there is no time left for other content after including all the music tracks and discussion segments. # 0 minutes
question:Sarah is a self-made, hard-working small business owner who runs a local bakery. She has always been focused on her business and never had the chance to enjoy creative arts. Recently, Sarah decided to host a small art show at her bakery to support local artists and add a touch of creativity to her life. She invited 5 local artists to display their work, and each artist brought 8 paintings. Sarah plans to hang the paintings evenly on 4 walls of her bakery. How many paintings will be hung on each wall?
answer:To solve this problem, we need to follow these steps:1. Determine the total number of paintings: Each of the 5 artists brought 8 paintings. Therefore, the total number of paintings is: [ 5 text{ artists} times 8 text{ paintings per artist} = 40 text{ paintings} ]2. Distribute the paintings evenly on 4 walls: Sarah wants to hang these paintings evenly across 4 walls. To find out how many paintings will be on each wall, divide the total number of paintings by the number of walls: [ frac{40 text{ paintings}}{4 text{ walls}} = 10 text{ paintings per wall} ]So, each wall will have 10 paintings.# 10
question:Jamie, a keen defender for Celtic F.C., is training hard to improve his game. During practice, he focuses on three key areas: tackling, passing, and sprinting. In one training session, Jamie successfully completed 12 tackles, made 18 precise passes, and sprinted a distance of 150 meters. If each tackle earns him 3 points, each precise pass earns him 2 points, and every 10 meters sprinted earns him 1 point, how many total points did Jamie earn during this training session?
answer:To solve the problem, we need to calculate the total points Jamie earned from each activity and then sum them up.1. Calculate points from tackles: - Jamie completed 12 tackles. - Each tackle earns him 3 points. - Total points from tackles = 12 tackles × 3 points/tackle = 36 points.2. Calculate points from passes: - Jamie made 18 precise passes. - Each pass earns him 2 points. - Total points from passes = 18 passes × 2 points/pass = 36 points.3. Calculate points from sprinting: - Jamie sprinted a distance of 150 meters. - Every 10 meters sprinted earns him 1 point. - Total points from sprinting = (150 meters / 10 meters/point) = 15 points.4. Calculate total points: - Total points = Points from tackles + Points from passes + Points from sprinting - Total points = 36 points (tackles) + 36 points (passes) + 15 points (sprinting) = 87 points.Jamie earned a total of 87 points during this training session.# 87