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question:Jamie, a young child who dreams of becoming a Broadway star, stops every day to watch a street performer who sings and dances for 15 minutes. Jamie visits the performer 5 days a week. If Jamie continues this routine for 4 weeks, how many total minutes does Jamie spend watching the street performer?
answer:To find the total minutes Jamie spends watching the street performer, we'll break down the problem step by step:1. Determine the minutes spent per day: Jamie watches the performer for 15 minutes each day.2. Determine the total minutes spent in a week: Jamie visits the performer 5 days a week. Therefore, the total minutes per week is: [ 15 , text{minutes/day} times 5 , text{days/week} = 75 , text{minutes/week} ]3. Determine the total minutes for 4 weeks: Jamie continues this routine for 4 weeks. So, the total minutes spent over 4 weeks is: [ 75 , text{minutes/week} times 4 , text{weeks} = 300 , text{minutes} ]Thus, Jamie spends a total of 300 minutes watching the street performer over the 4-week period.# 300
question:A successful writer, who often draws from their personal experiences with therapy for their novels, decides to plan their writing schedule for the next month. They want to dedicate 3 days a week to writing and plan to write 2 chapters per day. Each chapter is inspired by a therapy session they attended, and they have a total of 24 therapy sessions to draw from. How many weeks will it take the writer to use all their therapy sessions as inspiration for their chapters, assuming they stick to their planned schedule?
answer:To solve the problem, we'll follow these steps:1. Determine the total number of chapters the writer plans to write per week: - The writer plans to write 2 chapters per day. - They write 3 days a week. - Therefore, the total number of chapters written in a week is: [ 2 text{ chapters/day} times 3 text{ days/week} = 6 text{ chapters/week} ]2. Determine the total number of chapters needed: - Each chapter is inspired by a therapy session, and there are 24 therapy sessions. - Therefore, the writer needs to write 24 chapters.3. Calculate the number of weeks needed to write 24 chapters: - The writer writes 6 chapters per week. - To find the number of weeks needed to write 24 chapters, divide the total number of chapters by the number of chapters written per week: [ frac{24 text{ chapters}}{6 text{ chapters/week}} = 4 text{ weeks} ]Thus, it will take the writer 4 weeks to use all their therapy sessions as inspiration for their chapters.# 4
question:Sarah owns a store in the shopping plaza that sells unique Florida-themed merchandise. One day, she received a shipment of 120 alligator plush toys, 80 flamingo hats, and 150 keychains featuring palm trees. If she sells the alligator plush toys for 15 each, the flamingo hats for 12 each, and the keychains for 5 each, how much revenue will Sarah make if she sells half of each type of merchandise?
answer:To solve the problem, we need to calculate the revenue Sarah makes from selling half of each type of merchandise. We'll do this step-by-step:1. Calculate the number of each type of merchandise sold: - Alligator plush toys: Sarah has 120 alligator plush toys. Selling half means she sells: [ frac{120}{2} = 60 text{ alligator plush toys} ] - Flamingo hats: Sarah has 80 flamingo hats. Selling half means she sells: [ frac{80}{2} = 40 text{ flamingo hats} ] - Keychains: Sarah has 150 keychains. Selling half means she sells: [ frac{150}{2} = 75 text{ keychains} ]2. Calculate the revenue from each type of merchandise: - Revenue from alligator plush toys: Each toy sells for 15. Therefore, the revenue from selling 60 toys is: [ 60 times 15 = 900 text{ dollars} ] - Revenue from flamingo hats: Each hat sells for 12. Therefore, the revenue from selling 40 hats is: [ 40 times 12 = 480 text{ dollars} ] - Revenue from keychains: Each keychain sells for 5. Therefore, the revenue from selling 75 keychains is: [ 75 times 5 = 375 text{ dollars} ]3. Calculate the total revenue: - Add the revenue from each type of merchandise to get the total revenue: [ 900 + 480 + 375 = 1755 text{ dollars} ]Thus, the total revenue Sarah makes from selling half of each type of merchandise is:# 1755
question:Jamie, a gardening enthusiast, loves sharing weather updates and plant care tips with fellow gardeners in their community. Jamie has a small garden where they grow tomatoes and cucumbers. They know that tomatoes need at least 8 hours of sunlight each day, while cucumbers need at least 6 hours. This week, Jamie observed the following hours of sunlight each day: - Monday: 9 hours- Tuesday: 7 hours- Wednesday: 10 hours- Thursday: 6 hours- Friday: 8 hoursIf Jamie wants to ensure that both the tomato and cucumber plants receive the minimum required sunlight hours for the week, on which days do they need to provide additional light, and how many total extra hours of light do they need to provide for both the tomatoes and cucumbers combined?
answer:To solve this problem, we need to ensure that both the tomato and cucumber plants get their required minimum hours of sunlight for the week. The requirements are:- Tomatoes need at least 8 hours of sunlight each day.- Cucumbers need at least 6 hours of sunlight each day.We will review the given sunlight hours for each day and determine if any additional light is needed to meet the requirements for each plant.Monday: 9 hours- Tomatoes: 9 hours (already meets the 8-hour requirement)- Cucumbers: 9 hours (already meets the 6-hour requirement)Tuesday: 7 hours- Tomatoes: 7 hours (1 hour short of the 8-hour requirement)- Cucumbers: 7 hours (meets the 6-hour requirement)Wednesday: 10 hours- Tomatoes: 10 hours (meets the 8-hour requirement)- Cucumbers: 10 hours (meets the 6-hour requirement)Thursday: 6 hours- Tomatoes: 6 hours (2 hours short of the 8-hour requirement)- Cucumbers: 6 hours (meets the 6-hour requirement)Friday: 8 hours- Tomatoes: 8 hours (meets the 8-hour requirement)- Cucumbers: 8 hours (meets the 6-hour requirement)Now, let's calculate the additional light needed:- Tuesday: Additional light for tomatoes = 1 hour- Thursday: Additional light for tomatoes = 2 hoursNo additional light is needed for cucumbers on any day.Total extra hours needed = 1 hour (Tuesday) + 2 hours (Thursday) = 3 hours# 3 hours
question:Alex, a venture capitalist, has invested in three different tech startups: Startup A, Startup B, and Startup C. Alex predicts that Startup A will grow by 20% this year, Startup B will grow by 15%, and Startup C will grow by 10%. At the beginning of the year, Alex invested 100,000 in Startup A, 150,000 in Startup B, and 200,000 in Startup C. What will be the total value of Alex's investments in these three startups by the end of the year if all his predictions come true?
answer:To solve the problem, we need to calculate the value of each investment at the end of the year, given the predicted growth rates, and then sum these values to find the total value of Alex's investments.1. Calculate the value of the investment in Startup A at the end of the year: - Initial investment in Startup A = 100,000 - Growth rate for Startup A = 20% - The value at the end of the year = Initial investment × (1 + Growth rate) - Value at the end of the year for Startup A = 100,000 × (1 + 0.20) = 100,000 × 1.20 = 120,0002. Calculate the value of the investment in Startup B at the end of the year: - Initial investment in Startup B = 150,000 - Growth rate for Startup B = 15% - Value at the end of the year for Startup B = Initial investment × (1 + Growth rate) - Value at the end of the year for Startup B = 150,000 × (1 + 0.15) = 150,000 × 1.15 = 172,5003. Calculate the value of the investment in Startup C at the end of the year: - Initial investment in Startup C = 200,000 - Growth rate for Startup C = 10% - Value at the end of the year for Startup C = Initial investment × (1 + Growth rate) - Value at the end of the year for Startup C = 200,000 × (1 + 0.10) = 200,000 × 1.10 = 220,0004. Calculate the total value of all investments at the end of the year: - Total value = Value of Startup A + Value of Startup B + Value of Startup C - Total value = 120,000 + 172,500 + 220,000 = 512,500Thus, the total value of Alex's investments by the end of the year is:# 512,500
question:A traveler named Alex visited three different countries before contracting a rare illness. In the first country, Alex spent 5 days exploring. In the second country, Alex spent twice as many days as the first. In the third country, Alex spent 3 days fewer than the total number of days spent in the first two countries combined. Upon returning home, Alex immediately sought the expertise of a specialist. The specialist charged a fee of 150 per day for diagnosis and treatment. If Alex needs 7 days of treatment, calculate the total number of days Alex spent traveling and the total cost of the specialist's services.
answer:To solve the problem, let's break it down step-by-step:1. Determine the number of days Alex spent in each country: - In the first country, Alex spent 5 days. - In the second country, Alex spent twice as many days as in the first country. Therefore, the number of days spent in the second country is: [ 2 times 5 = 10 text{ days} ] - In the third country, Alex spent 3 days fewer than the total number of days spent in the first two countries combined. First, calculate the total number of days spent in the first two countries: [ 5 + 10 = 15 text{ days} ] Then, the number of days spent in the third country is: [ 15 - 3 = 12 text{ days} ]2. Calculate the total number of days Alex spent traveling: Add up the days spent in all three countries: [ 5 + 10 + 12 = 27 text{ days} ]3. Calculate the total cost of the specialist's services: The specialist charges 150 per day. Alex needs 7 days of treatment. Therefore, the total cost is: [ 150 times 7 = 1050 text{ dollars} ]Now, let's provide the final answer:#Total days traveling: 27 daysTotal cost of specialist's services: 1050