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question:Alex is a parent whose child, Jamie, has recently been convicted and is now working towards rehabilitation. Jamie participates in a rehabilitation program that includes several activities aimed at personal development. Each week, Jamie attends 4 counseling sessions, 3 skill-building workshops, and 2 community service activities.Each counseling session lasts 1.5 hours, each skill-building workshop lasts 2 hours, and each community service activity takes 3 hours. Alex wants to understand how much time Jamie is dedicating to the program each week to support and encourage Jamie’s efforts. How many total hours does Jamie spend on these activities in one week?
answer:To determine the total number of hours Jamie spends on the rehabilitation program activities each week, we will calculate the time spent on each type of activity and then sum these times.Step 1: Calculate the total hours spent on counseling sessions- Jamie attends 4 counseling sessions each week.- Each session lasts 1.5 hours.- Total hours spent on counseling sessions = 4 sessions × 1.5 hours/session = 6 hours.Step 2: Calculate the total hours spent on skill-building workshops- Jamie attends 3 skill-building workshops each week.- Each workshop lasts 2 hours.- Total hours spent on skill-building workshops = 3 workshops × 2 hours/workshop = 6 hours.Step 3: Calculate the total hours spent on community service activities- Jamie participates in 2 community service activities each week.- Each community service activity takes 3 hours.- Total hours spent on community service activities = 2 activities × 3 hours/activity = 6 hours.Step 4: Sum the hours for all activities- Total hours spent on all activities = Hours for counseling sessions + Hours for skill-building workshops + Hours for community service activities.- Total hours = 6 hours (counseling) + 6 hours (skill-building) + 6 hours (community service) = 18 hours.Therefore, Jamie spends a total of 18 hours per week on the rehabilitation program activities.# 18
question:Luís Rocha Filho's close friend, who also works in the political field, is organizing a community event to gather support for their new policy initiative. They have decided to distribute flyers to increase awareness. If Luís's friend can distribute 15 flyers per hour, and they plan to work for 4 hours each day, how many flyers will they have distributed by the end of 5 days?
answer:To solve the problem, we need to calculate the total number of flyers distributed over the given period.1. Determine the number of flyers distributed in one hour: - Luís's friend distributes 15 flyers per hour.2. Calculate the number of flyers distributed in one day: - They work for 4 hours each day. - Flyers per day = Flyers per hour × Hours per day = 15 flyers/hour × 4 hours = 60 flyers.3. Calculate the number of flyers distributed over 5 days: - They work for 5 days. - Total flyers over 5 days = Flyers per day × Number of days = 60 flyers/day × 5 days = 300 flyers.Therefore, the total number of flyers distributed by the end of 5 days is:# 300
question:The mysterious and enigmatic stranger, known for sharing their most heart-wrenching and passionate love story, traveled from city to city, leaving behind tales of romance that captivated everyone. In each city, the stranger would stay for a number of days equal to the number of letters in their beloved's name, which is 7 letters long. During the first city visit, the stranger shared their story with 5 people each day. Each captivated listener would then share the story with 2 of their friends the following day. After leaving the first city, the stranger traveled to a second city where they stayed for 4 more days. During the second city visit, the stranger shared their story with 3 new people each day, and each of these new listeners shared it with 1 friend the next day.How many people in total, including the initial listeners and their friends, heard the stranger's love story in both cities combined?
answer:Let's solve the problem step-by-step: First City1. Duration of Stay: - The stranger stays in the first city for 7 days (since the beloved's name has 7 letters).2. Daily Sharing: - The stranger shares the story with 5 people each day.3. Propagation of the Story: - Each person who hears the story shares it with 2 friends the next day.# Calculation for Each Day:- Day 1: - Initial listeners: 5 - Total listeners by the end of Day 1: 5- Day 2: - New listeners from the stranger: 5 - Friends of Day 1's listeners: 5 × 2 = 10 - Total listeners by the end of Day 2: 5 (Day 1) + 5 + 10 = 20- Day 3: - New listeners from the stranger: 5 - Friends of Day 2's listeners: 20 × 2 = 40 - Total listeners by the end of Day 3: 20 (up to Day 2) + 5 + 40 = 65- Day 4: - New listeners from the stranger: 5 - Friends of Day 3's listeners: 65 × 2 = 130 - Total listeners by the end of Day 4: 65 (up to Day 3) + 5 + 130 = 200- Day 5: - New listeners from the stranger: 5 - Friends of Day 4's listeners: 200 × 2 = 400 - Total listeners by the end of Day 5: 200 (up to Day 4) + 5 + 400 = 605- Day 6: - New listeners from the stranger: 5 - Friends of Day 5's listeners: 605 × 2 = 1210 - Total listeners by the end of Day 6: 605 (up to Day 5) + 5 + 1210 = 1820- Day 7: - New listeners from the stranger: 5 - Friends of Day 6's listeners: 1820 × 2 = 3640 - Total listeners by the end of Day 7: 1820 (up to Day 6) + 5 + 3640 = 5465 Second City1. Duration of Stay: - The stranger stays in the second city for 4 days.2. Daily Sharing: - The stranger shares the story with 3 new people each day.3. Propagation of the Story: - Each of these new listeners shares the story with 1 friend the next day.# Calculation for Each Day:- Day 1: - Initial listeners: 3 - Total listeners by the end of Day 1: 3- Day 2: - New listeners from the stranger: 3 - Friends of Day 1's listeners: 3 × 1 = 3 - Total listeners by the end of Day 2: 3 (Day 1) + 3 + 3 = 9- Day 3: - New listeners from the stranger: 3 - Friends of Day 2's listeners: 9 × 1 = 9 - Total listeners by the end of Day 3: 9 (up to Day 2) + 3 + 9 = 21- Day 4: - New listeners from the stranger: 3 - Friends of Day 3's listeners: 21 × 1 = 21 - Total listeners by the end of Day 4: 21 (up to Day 3) + 3 + 21 = 45 Total Listeners in Both Cities- Total listeners in the first city: 5465- Total listeners in the second city: 45The total number of people who heard the love story in both cities is:[5465 + 45 = 5510]# Final AnswerThe total number of people who heard the stranger's love story in both cities combined is:# 5510
question:A young politician named Alex is planning to modernize a small town by replacing all old streetlights with new, energy-efficient LED lights. The town currently has 120 streetlights. Alex believes that each new LED light will save the town 5 per month in electricity costs. However, without considering the historical significance of the old streetlights, Alex decides to replace them all in one go. If the cost to install each new LED light is 80, how much will the town save or spend in total after the first 12 months, considering both the installation cost and the electricity savings?
answer:To solve this problem, we'll break it down into manageable steps:1. Calculate the total installation cost for the new LED lights: - The town has 120 streetlights to be replaced. - The cost to install each new LED light is 80. - Therefore, the total installation cost is: [ text{Total Installation Cost} = 120 times 80 = 9600 text{ dollars} ]2. Calculate the total electricity savings over 12 months: - Each new LED light saves the town 5 per month. - With 120 streetlights, the total monthly savings in electricity costs is: [ text{Monthly Savings} = 120 times 5 = 600 text{ dollars} ] - Over 12 months, the total savings would be: [ text{Total Savings} = 600 times 12 = 7200 text{ dollars} ]3. Calculate the net cost (or savings) after 12 months: - Subtract the total savings from the total installation cost to determine the net expense or savings: [ text{Net Cost} = text{Total Installation Cost} - text{Total Savings} = 9600 - 7200 = 2400 text{ dollars} ]4. Determine if the town is saving or spending: - Since the net cost is positive, the town is spending more than it is saving.After considering both the installation cost and the electricity savings, the town will spend a total of 2400 dollars after the first 12 months.# 2400
question:Jamie is an active city resident of St. Catharines and has been following Councillor Mike Siscoe's political career closely. During the past year, Jamie attended 12 city council meetings where Siscoe spoke about new projects for the city. Each meeting lasted 2 hours, and Jamie took notes for 75% of the time. If Jamie wrote 3 pages of notes per hour, how many pages of notes did Jamie write in total during all the meetings?
answer:To solve the problem, we need to calculate the total number of pages of notes Jamie wrote during all the city council meetings.1. Determine the total number of hours Jamie attended meetings: - Jamie attended 12 meetings. - Each meeting lasted 2 hours. [ text{Total hours attended} = 12 , text{meetings} times 2 , text{hours/meeting} = 24 , text{hours} ]2. Calculate the number of hours Jamie spent taking notes: - Jamie took notes for 75% of the time. [ text{Hours taking notes} = 24 , text{hours} times 0.75 = 18 , text{hours} ]3. Calculate the total number of pages Jamie wrote: - Jamie wrote 3 pages of notes per hour. [ text{Total pages of notes} = 18 , text{hours} times 3 , text{pages/hour} = 54 , text{pages} ]Thus, the total number of pages of notes Jamie wrote is 54.# 54
question:A conservative political commentator and a libertarian commentator are planning a joint seminar series about limited government. The conservative commentator suggests organizing 5 seminars, while the libertarian commentator proposes having 3 more seminars than that. If they decide to split the total cost equally and each seminar costs 250 to host, how much will each commentator pay for their share of the seminar costs?
answer:Let's break down the problem step-by-step:1. Determine the number of seminars suggested by each commentator: - The conservative commentator suggests organizing 5 seminars. - The libertarian commentator proposes having 3 more seminars than the conservative commentator. Therefore, the libertarian commentator suggests organizing ( 5 + 3 = 8 ) seminars.2. Calculate the total number of seminars: - The total number of seminars is the sum of the seminars suggested by both commentators: [ 5 + 8 = 13 ]3. Calculate the total cost of all seminars: - Each seminar costs 250 to host. Therefore, the total cost for 13 seminars is: [ 13 times 250 = 3250 ]4. Determine how the total cost is split: - The total cost of 3250 is split equally between the two commentators. Therefore, each commentator pays: [ frac{3250}{2} = 1625 ]Thus, the amount each commentator will pay for their share of the seminar costs is 1625.# 1625