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question:Jamie and their sibling grew up watching car races together every weekend. Now, Jamie supports their sibling's racing blog by helping calculate the total number of views each post gets. Last week, their sibling wrote 4 blog posts. The first post received 150 views, the second post received 175 views, the third post received 200 views, and the fourth post received 225 views. After a week, Jamie noticed that each post had gained an additional 50 views. How many total views did the 4 blog posts receive by the end of the week?
answer:To find the total number of views the 4 blog posts received by the end of the week, we need to perform the following steps:1. Initial Views Calculation: - First post: 150 views - Second post: 175 views - Third post: 200 views - Fourth post: 225 views Calculate the initial total views: [ 150 + 175 + 200 + 225 = 750 text{ views} ]2. Additional Views: Each post gained an additional 50 views, so we calculate the additional views for all posts: - First post: 50 views - Second post: 50 views - Third post: 50 views - Fourth post: 50 views Calculate the total additional views: [ 50 + 50 + 50 + 50 = 200 text{ views} ]3. Final Total Views Calculation: Add the initial total views and the total additional views to find the final total: [ 750 + 200 = 950 text{ views} ]By the end of the week, the 4 blog posts received a total of 950 views.# 950
question:In a courtroom, a younger, progressive-minded justice is organizing a debate event to introduce fresh perspectives on legal issues. The justice decides to invite a total of 15 experienced judges and 10 young law students to participate in the discussions. During the event, each experienced judge shares 3 new ideas, while each young law student shares 5 new ideas. How many new ideas are shared in total during the event?
answer:To solve the problem, we need to find the total number of new ideas shared by both the experienced judges and the young law students during the event.Step 1: Calculate the total number of new ideas shared by the experienced judges.- There are 15 experienced judges.- Each judge shares 3 new ideas.- Therefore, the total number of new ideas shared by the experienced judges is: [ 15 text{ judges} times 3 text{ ideas/judge} = 45 text{ ideas} ]Step 2: Calculate the total number of new ideas shared by the young law students.- There are 10 young law students.- Each student shares 5 new ideas.- Therefore, the total number of new ideas shared by the young law students is: [ 10 text{ students} times 5 text{ ideas/student} = 50 text{ ideas} ]Step 3: Calculate the total number of new ideas shared during the event.- Add the total number of ideas shared by the judges and the students: [ 45 text{ ideas (from judges)} + 50 text{ ideas (from students)} = 95 text{ ideas} ]So, the total number of new ideas shared during the event is 95.# 95
question:Ahmed, a stand-up comedian from a Muslim background, lives in New York City and is planning a special comedy show during Ramadan. He wants to share his experiences with his diverse audience and decides to include a segment about his daily routine. During Ramadan, Ahmed performs 5 comedy shows each week, which is 2 more than he usually does in a non-Ramadan week. If Ahmed performs an equal number of shows each week for 4 weeks of Ramadan, how many more shows does he perform in total during Ramadan compared to the same 4-week period in a non-Ramadan month?
answer:To solve this problem, we need to determine how many more comedy shows Ahmed performs during Ramadan compared to a non-Ramadan month.1. Determine Ahmed's usual number of shows per week: - During Ramadan, Ahmed performs 5 shows per week. - This is 2 more than he usually does in a non-Ramadan week. - Let ( x ) be the number of shows Ahmed usually performs in a non-Ramadan week. [ x + 2 = 5 ] Solving for ( x ): [ x = 5 - 2 = 3 ] Therefore, Ahmed usually performs 3 shows per week in a non-Ramadan week.2. Calculate total shows during Ramadan: - During Ramadan, Ahmed performs 5 shows each week. - For 4 weeks of Ramadan, the total number of shows is: [ 5 text{ shows/week} times 4 text{ weeks} = 20 text{ shows} ]3. Calculate total shows during a non-Ramadan period: - In a non-Ramadan week, Ahmed performs 3 shows each week. - For the same 4-week period, the total number of shows is: [ 3 text{ shows/week} times 4 text{ weeks} = 12 text{ shows} ]4. Determine the difference: - The number of additional shows performed during Ramadan compared to the non-Ramadan period is: [ 20 text{ shows} - 12 text{ shows} = 8 text{ shows} ]Therefore, Ahmed performs 8 more shows during the 4 weeks of Ramadan compared to a non-Ramadan month.# 8
question:Jamie, a proud resident of Fort Dodge, Iowa, decided to explore their hometown by visiting three local attractions in one day. They start their journey at the Fort Museum and Frontier Village, which took them 45 minutes to explore. Next, they head to the Blanden Art Museum and spend twice as much time there as they did at the Fort Museum and Frontier Village. Finally, they visit the Community Orchard, spending 30 minutes more than the time spent at the Blanden Art Museum. If Jamie started their tour at 10:00 AM, what time did they finish visiting all three attractions?
answer:To solve this problem, we need to determine how much total time Jamie spent visiting all three attractions and then calculate the time they finished their tour.1. Time spent at the Fort Museum and Frontier Village: Jamie spent 45 minutes at the Fort Museum and Frontier Village.2. Time spent at the Blanden Art Museum: Jamie spent twice as much time at the Blanden Art Museum as they did at the Fort Museum and Frontier Village. [ text{Time at Blanden Art Museum} = 2 times 45 text{ minutes} = 90 text{ minutes} ]3. Time spent at the Community Orchard: Jamie spent 30 minutes more than the time spent at the Blanden Art Museum at the Community Orchard. [ text{Time at Community Orchard} = 90 text{ minutes} + 30 text{ minutes} = 120 text{ minutes} ]4. Total time spent visiting all attractions: Add up the time spent at each attraction. [ text{Total time} = 45 text{ minutes} + 90 text{ minutes} + 120 text{ minutes} = 255 text{ minutes} ]5. Convert total time from minutes to hours and minutes: Since 255 minutes is more than an hour, we convert it to hours and minutes. [ 255 text{ minutes} = 4 text{ hours} text{ and } 15 text{ minutes} text{ (since } 255 div 60 = 4 text{ remainder } 15text{)} ]6. Calculate the finishing time: Jamie started their tour at 10:00 AM. Add the total time spent to the starting time. [ text{Start time} = 10:00 text{ AM} ] [ text{Finish time} = 10:00 text{ AM} + 4 text{ hours } 15 text{ minutes} = 2:15 text{ PM} ]Therefore, Jamie finished visiting all three attractions at 2:15 PM.# 2:15 PM
question:Jamie works for a local environmental organization and is helping students with a research project about tree planting. The organization plans to plant trees in a large park to improve air quality. Jamie knows that each tree can absorb 48 pounds of carbon dioxide per year. If the organization plants 150 trees, how many pounds of carbon dioxide will these trees absorb in one year? In addition, Jamie wants to provide enough resources for the planting event. Each tree requires 2 gallons of water for initial planting, and Jamie has found that each gallon of water costs 0.50. How much will the organization spend on water for planting all 150 trees? Finally, Jamie needs to distribute information pamphlets to volunteers, and each volunteer receives 3 pamphlets. If there are 45 volunteers, how many pamphlets does Jamie need to prepare? Calculate the total carbon dioxide absorption, the water cost, and the number of pamphlets needed.
answer:To solve this problem, we need to address each part separately and step-by-step: Part 1: Calculate Total Carbon Dioxide Absorption1. Each tree absorbs 48 pounds of carbon dioxide per year.2. The organization plants 150 trees.3. Total carbon dioxide absorption by the trees in one year is calculated by multiplying the absorption per tree by the number of trees: [ text{Total CO2 absorption} = 48 , text{pounds/tree/year} times 150 , text{trees} = 7200 , text{pounds/year} ] Part 2: Calculate the Cost of Water1. Each tree requires 2 gallons of water for initial planting.2. The cost of each gallon of water is 0.50.3. First, find the total number of gallons required: [ text{Total gallons} = 2 , text{gallons/tree} times 150 , text{trees} = 300 , text{gallons} ]4. Then, calculate the total cost of the water: [ text{Total water cost} = 300 , text{gallons} times 0.50 , text{/gallon} = 150 , text{} ] Part 3: Calculate the Number of Pamphlets Needed1. Each volunteer receives 3 pamphlets.2. There are 45 volunteers.3. Calculate the total number of pamphlets needed: [ text{Total pamphlets} = 3 , text{pamphlets/volunteer} times 45 , text{volunteers} = 135 , text{pamphlets} ] Final AnswersNow, let's state the results for all parts together:- Total carbon dioxide absorption in one year: 7200 pounds- Total cost of water for planting all trees: 150- Total number of pamphlets needed: 135# 7200, 150, 135
question:Dr. Thompson, a renowned historian who specializes in studying the psychological motivations of historical figures, is working on a new book. She plans to write about 5 different historical figures, dedicating a chapter to each one. Each chapter will explore 3 key psychological motivations that drove each figure's major decisions. For each key motivation, Dr. Thompson writes 4 pages. How many pages will Dr. Thompson write in total for her book?
answer:To solve the problem, we need to determine how many pages Dr. Thompson will write in total for her book. We can break it down into steps:1. Determine the number of key motivations per historical figure: Dr. Thompson will explore 3 key psychological motivations for each historical figure.2. Determine the number of pages per key motivation: Dr. Thompson writes 4 pages for each key motivation.3. Calculate the number of pages per historical figure: For each historical figure, she will write (3 text{ motivations} times 4 text{ pages/motivation} = 12 text{ pages}).4. Calculate the total number of pages for all historical figures: Dr. Thompson plans to write about 5 historical figures. Therefore, the total number of pages is: [ 5 text{ figures} times 12 text{ pages/figure} = 60 text{ pages} ]The total number of pages Dr. Thompson will write for her book is 60.# 60