answer:To determine the total minutes Amara will spend listening to her favorite gospel songs in a week, we can follow these steps:1. Identify the total number of songs: Amara has 15 favorite gospel songs.2. Determine the number of times each song is listened to: Each song is listened to 4 times.3. Calculate the total number of times all songs are listened to: Total times = Number of songs × Number of times each song is listened to Total times = 15 songs × 4 times/song = 60 times4. Identify the duration of each song: Each song lasts for 5 minutes.5. Calculate the total minutes spent listening to all songs: Total minutes = Total times × Duration of each song Total minutes = 60 times × 5 minutes/time = 300 minutesThus, Amara will spend a total of 300 minutes listening to her favorite gospel songs in that week.# 300

answer:To solve this problem, we need to calculate the number of customers Jamie will have at the end of each month, applying a 20% increase in customers per month.Step-by-step solution:1. Initial Number of Customers: - Jamie starts with 50 customers.2. First Month: - Increase customers by 20%: [ text{New customers} = 50 times 0.20 = 10 ] - Total customers at the end of the first month: [ 50 + 10 = 60 ]3. Second Month: - Increase the new total by 20%: [ text{New customers} = 60 times 0.20 = 12 ] - Total customers at the end of the second month: [ 60 + 12 = 72 ]4. Third Month: - Increase the new total by 20%: [ text{New customers} = 72 times 0.20 = 14.4 ] - Total customers at the end of the third month: [ 72 + 14.4 = 86.4 ]Since the number of customers must be a whole number, we typically round to the nearest whole number. Therefore, Jamie will have approximately 86 customers at the end of the three months.# 86

answer:To solve this math problem, we need to follow these steps:1. Determine the number of different sports types Alex wants to include in the project. - Alex plans to include 5 different types of sports: basketball, soccer, tennis, baseball, and swimming.2. Determine how many unique cliparts Alex wants for each type of sport. - For each type of sport, Alex wants to use 4 unique cliparts.3. Calculate the total number of cliparts needed. - Since there are 5 types of sports and 4 unique cliparts for each sport, the total number of cliparts needed is: [ 5 text{ sports} times 4 text{ cliparts per sport} = 20 text{ cliparts} ]4. Determine the cost per clipart. - Each clipart costs 2.5. Calculate the total cost for all the cliparts. - Since there are 20 cliparts needed and each costs 2, the total cost is: [ 20 text{ cliparts} times 2 text{ per clipart} = 40 ]Therefore, the total amount Alex will spend to purchase all the cliparts needed for their project is 40.# 40

answer:To solve the problem, we will follow these steps:1. Determine how many quotes Alex finds in one week.2. Multiply the number of quotes per week by the number of weeks Alex has been curating to find the total number of quotes.Step 1: Calculate the number of quotes per week.- Alex reads 15 articles per week.- Alex finds an average of 3 quotes per article.Therefore, the number of quotes Alex finds in one week is calculated as follows:[text{Quotes per week} = text{Number of articles per week} times text{Average quotes per article} = 15 times 3 = 45]Step 2: Calculate the total number of quotes over 8 weeks.- Alex has been curating for 8 weeks.The total number of quotes Alex has added to the database is:[text{Total quotes} = text{Quotes per week} times text{Number of weeks} = 45 times 8 = 360]Therefore, the total number of quotes Alex has added to the database is 360.# 360

answer:Let's solve the problem step-by-step.1. Understand the initial reading pace: Jamie read 3 books in the first two weeks.2. Calculate the remaining books: Total books = 12 Books read in the first two weeks = 3 Remaining books = 12 - 3 = 93. Determine the weekly reading pace after the initial period: Jamie read 2 books each week after the first two weeks.4. Calculate the number of weeks needed to read the remaining books: Remaining books = 9 Books per week = 2 To find out how many weeks it takes to read 9 books at a pace of 2 books per week, divide the remaining books by the weekly reading pace: [ text{Weeks needed} = frac{9 text{ books}}{2 text{ books/week}} = 4.5 text{ weeks} ] Since Jamie can't read for half a week, they need to round up to the next whole number of weeks. Therefore, it will take 5 weeks to finish reading the remaining books.5. Calculate the total number of weeks: Initial weeks = 2 weeks Additional weeks = 5 weeks Total weeks = 2 + 5 = 7 weeksJamie took a total of 7 weeks to read all 12 books.#7

answer:To solve this problem, we need to distribute the 120 books equally among the 5 genres and then further distribute each genre's books equally across 3 shelves.Step 1: Distribute the books equally among the genres.- There are 120 books and 5 genres.- To find out how many books belong to each genre, divide the total number of books by the number of genres.[text{Books per genre} = frac{120}{5} = 24]Step 2: Distribute the books of each genre equally across the shelves.- Each genre has 24 books that need to be distributed across 3 shelves.- To find out how many books will be placed on each shelf, divide the number of books per genre by the number of shelves.[text{Books per shelf} = frac{24}{3} = 8]Therefore, Alex will place 8 books on each shelf.# 8