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question:Emily is a botany student living in Birmingham who loves to help her community by planting trees in local parks. She plans to plant trees in 3 different parks over the weekend. In the first park, she plants twice as many trees as she does in the second park. In the second park, she plants 8 trees. In the third park, she plants 5 more trees than she does in the second park. How many trees does Emily plant in total over the weekend?
answer:To solve the problem, we need to determine the number of trees Emily plants in each park and then sum those numbers to find the total number of trees she plants over the weekend.1. Determine the number of trees planted in the second park: - We are given that Emily plants 8 trees in the second park.2. Determine the number of trees planted in the first park: - Emily plants twice as many trees in the first park as she does in the second park. - Number of trees in the first park = 2 times the number in the second park. - Number of trees in the first park = 2 × 8 = 16.3. Determine the number of trees planted in the third park: - Emily plants 5 more trees in the third park than she does in the second park. - Number of trees in the third park = Number in the second park + 5. - Number of trees in the third park = 8 + 5 = 13.4. Calculate the total number of trees planted over the weekend: - Total number of trees = Number of trees in the first park + Number of trees in the second park + Number of trees in the third park. - Total number of trees = 16 + 8 + 13 = 37.Thus, the total number of trees Emily plants over the weekend is:# 37
question:Jon is a hardcore fan of Game of Thrones and has decided to cosplay as Jon Snow at an upcoming convention. He plans to carry a set of props to complete his look, including a sword, a cloak, and a small shield. The sword weighs 3 pounds, the cloak weighs 2 pounds, and the shield weighs 4 pounds. Jon also wants to carry a bag filled with 5 collectible dragon eggs, each weighing 1 pound. 1. How much does all of Jon's cosplay gear weigh in total?2. If Jon can comfortably carry a maximum of 15 pounds, how many more pounds can he carry without exceeding his comfort limit?
answer:To solve the problem, we will address each part separately:1. Calculate the total weight of Jon's cosplay gear: - Weight of the sword = 3 pounds - Weight of the cloak = 2 pounds - Weight of the shield = 4 pounds - Weight of the collectible dragon eggs: - Each egg weighs 1 pound, and there are 5 eggs, so the total weight of the eggs is (5 times 1 = 5) pounds. Now, add up all the weights: [ text{Total weight} = text{Weight of sword} + text{Weight of cloak} + text{Weight of shield} + text{Weight of eggs} ] [ text{Total weight} = 3 + 2 + 4 + 5 = 14 text{ pounds} ]2. Determine how many more pounds Jon can carry without exceeding his comfort limit: - Jon's maximum comfortable carrying weight = 15 pounds. - Total weight of the gear = 14 pounds (calculated above). To find out how much more weight Jon can carry, subtract the total weight of the gear from Jon's comfort limit: [ text{Additional weight Jon can carry} = text{Comfort limit} - text{Total weight of gear} ] [ text{Additional weight Jon can carry} = 15 - 14 = 1 text{ pound} ]Now, let's provide the final summarized answers:# 14 pounds, 1 pound
question:As a magazine writer specializing in fashion and pop culture, you are preparing an article about a fashion designer's innovative outfits for a comic convention. During your interview, the designer reveals that they created 5 different outfit designs, each inspired by a popular comic book character. Each design requires 3 different types of fabric, and you learn that they use 4 meters of fabric per type for each outfit. If the designer plans to make 10 copies of each outfit to sell at the convention, how many meters of fabric will the designer need in total?
answer:To solve this problem, we need to calculate the total amount of fabric required for all the outfits based on the given information.Step 1: Determine the total number of outfits.- The designer plans to make 10 copies of each of the 5 outfit designs.- Therefore, the total number of outfits is: [ 5 text{ designs} times 10 text{ copies per design} = 50 text{ outfits} ]Step 2: Calculate the amount of fabric needed for one outfit.- Each outfit requires 3 different types of fabric, and each type requires 4 meters of fabric.- Thus, the total fabric needed for one outfit is: [ 3 text{ types of fabric} times 4 text{ meters per type} = 12 text{ meters per outfit} ]Step 3: Calculate the total amount of fabric needed for all outfits.- Multiply the total number of outfits by the amount of fabric needed for one outfit: [ 50 text{ outfits} times 12 text{ meters per outfit} = 600 text{ meters of fabric} ]The designer will need a total of 600 meters of fabric to make all the outfits.# 600
question:Aliyah is a personal trainer based in Kuala Lumpur, Malaysia. She has 5 clients who each attend 3 training sessions per week. Each session lasts 1 hour. Aliyah charges 50 Malaysian Ringgit per session. Calculate how much income Aliyah earns from these 5 clients in one month, assuming there are 4 weeks in the month.
answer:To solve the problem, we will calculate the income Aliyah earns from her 5 clients over the course of one month, assuming 4 weeks in the month.1. Calculate the number of sessions per client per week: - Each client attends 3 training sessions per week.2. Calculate the number of sessions per client per month: - Since there are 4 weeks in a month, each client attends: [ 3 text{ sessions/week} times 4 text{ weeks/month} = 12 text{ sessions/month} ]3. Calculate the income per client per month: - Aliyah charges 50 Malaysian Ringgit per session. Therefore, the income from one client per month is: [ 12 text{ sessions/month} times 50 text{ Ringgit/session} = 600 text{ Ringgit/month} ]4. Calculate the total income from all 5 clients per month: - Aliyah has 5 clients, so her total income per month is: [ 600 text{ Ringgit/client/month} times 5 text{ clients} = 3000 text{ Ringgit/month} ]Therefore, the total income Aliyah earns from these 5 clients in one month is:# 3000 Ringgit
question:Alexei, a Russian programmer, is writing a script to automate a task using command-line interface (CLI) tools. He needs to process a batch of 20 files. Each file takes 3 minutes to process using his script. However, Alexei knows he can optimize the script to reduce the processing time by 30 seconds per file. He plans to spend 2 hours in total working on both processing the files and optimizing the script. How much time will Alexei have left for optimization after processing all 20 files with the optimized script?
answer:To solve this problem, we need to determine how much time Alexei will have left for optimizing the script after processing all 20 files with the optimized version of the script.1. Initial Processing Time: Without optimization, each file takes 3 minutes to process. For 20 files, the total processing time is: [ 20 times 3 = 60 text{ minutes} ]2. Time Reduction by Optimization: Alexei can optimize the script to reduce the processing time by 30 seconds per file. Since 30 seconds is equivalent to 0.5 minutes, the optimized processing time per file is: [ 3 - 0.5 = 2.5 text{ minutes per file} ]3. Optimized Processing Time for All Files: With the optimized script, the time to process all 20 files is: [ 20 times 2.5 = 50 text{ minutes} ]4. Total Time Available: Alexei plans to spend 2 hours in total, which is equivalent to 120 minutes.5. Time Remaining for Optimization: After processing the files with the optimized script in 50 minutes, the remaining time for optimization is: [ 120 - 50 = 70 text{ minutes} ]Therefore, Alexei will have 70 minutes left for optimization.# 70
question:Alex is a productivity advisor who is passionate about eliminating unnecessary workplace distractions. He believes that cutting down on distractions can significantly boost productivity. In the office, Alex observes that each employee receives an average of 20 distracting notifications per day, leading to a total loss of 5 minutes per notification as they regain focus. If there are 15 employees in the office, how many total hours of productivity are lost in one week (5 working days) due to these notifications?
answer:To solve this problem, we need to calculate the total time lost due to distracting notifications for all employees over a week.Step 1: Calculate the daily loss of productivity per employee.Each employee receives 20 distracting notifications per day, and each notification leads to a 5-minute loss of productivity. Therefore, the daily productivity loss per employee is:[20 text{ notifications/day} times 5 text{ minutes/notification} = 100 text{ minutes/day}]Step 2: Calculate the daily loss of productivity for all employees.There are 15 employees in the office. So, the total daily productivity loss for all employees is:[15 text{ employees} times 100 text{ minutes/employee/day} = 1500 text{ minutes/day}]Step 3: Calculate the weekly loss of productivity for all employees.The office works 5 days a week, so the total weekly productivity loss for all employees is:[1500 text{ minutes/day} times 5 text{ days/week} = 7500 text{ minutes/week}]Step 4: Convert the total weekly loss from minutes to hours.There are 60 minutes in an hour. Therefore, the total weekly productivity loss in hours is:[frac{7500 text{ minutes}}{60 text{ minutes/hour}} = 125 text{ hours}]Therefore, the total hours of productivity lost in one week due to these notifications is:[boxed{125 text{ hours}}]# 125