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question:As part of an awareness campaign, Jamie, a parent dedicated to educating others about online safety, visits schools to give talks. In one week, Jamie plans to visit 3 schools. At the first school, Jamie speaks to 120 students. At the second school, the number of students is 20% more than at the first school. At the third school, there are 40 fewer students than at the second school. How many students does Jamie speak to in total by the end of the week?
answer:To solve the problem, we need to calculate the total number of students Jamie speaks to by the end of the week by analyzing each school visit step-by-step.1. First School: - Number of students = 1202. Second School: - The number of students at the second school is 20% more than at the first school. - Calculate 20% of 120: [ 20% text{ of } 120 = frac{20}{100} times 120 = 0.2 times 120 = 24 ] - Therefore, the number of students at the second school is: [ 120 + 24 = 144 ]3. Third School: - The number of students at the third school is 40 fewer than at the second school. - Therefore, the number of students at the third school is: [ 144 - 40 = 104 ]4. Total Number of Students: - To find the total number of students Jamie speaks to, add the number of students from each school: [ 120 + 144 + 104 = 368 ]Therefore, by the end of the week, Jamie speaks to a total of 368 students.# 368
question:A documentary filmmaker is working on a film to highlight the importance of vaccination in global health. In one scene, she wants to show the impact of a vaccination program in a small village. Before the vaccination program, the village had 500 people, and 40% of them were at risk of contracting a certain disease. After the vaccination program, 80% of those at-risk individuals received the vaccine. How many people in the village are still at risk of contracting the disease after the vaccination program?
answer:To solve this problem, we need to determine how many people remain at risk of contracting the disease after the vaccination program.Step 1: Determine the initial number of people at risk.- The village has a total population of 500 people.- 40% of these villagers are at risk of contracting the disease. Calculate the number of at-risk individuals: [ text{Number of people at risk} = 0.40 times 500 = 200 ]Step 2: Determine how many at-risk individuals received the vaccine.- 80% of the at-risk individuals received the vaccine. Calculate the number of vaccinated at-risk individuals: [ text{Number of vaccinated at-risk individuals} = 0.80 times 200 = 160 ]Step 3: Determine how many people remain at risk.- The people still at risk are those who did not receive the vaccine from the initial at-risk group. Calculate the number of people still at risk: [ text{Number of people still at risk} = 200 - 160 = 40 ]Therefore, the number of people in the village who are still at risk of contracting the disease after the vaccination program is 40.# 40
question:A former student of LV Rogers School, now a successful actor on Broadway, spends 5 days a week rehearsing for a new musical. Each rehearsal lasts for 3 hours. After each rehearsal, they spend another 2 hours practicing their lines and 1 hour reviewing choreography. Over the course of 4 weeks, how many total hours does the actor spend on rehearsals, line practice, and choreography review combined?
answer:To solve this problem, we need to calculate the total time spent on rehearsals, line practice, and choreography review over the course of 4 weeks.1. Calculate the weekly hours for rehearsals: - The actor rehearses for 5 days a week. - Each rehearsal lasts 3 hours. - Total weekly rehearsal hours = 5 days/week × 3 hours/day = 15 hours/week.2. Calculate the weekly hours for line practice: - After each rehearsal, the actor spends 2 hours practicing lines. - Total weekly line practice hours = 5 days/week × 2 hours/day = 10 hours/week.3. Calculate the weekly hours for reviewing choreography: - After each rehearsal, the actor spends 1 hour reviewing choreography. - Total weekly choreography review hours = 5 days/week × 1 hour/day = 5 hours/week.4. Calculate the total weekly hours for all activities: - Total weekly hours = rehearsal hours + line practice hours + choreography review hours - Total weekly hours = 15 hours/week + 10 hours/week + 5 hours/week = 30 hours/week.5. Calculate the total hours over 4 weeks: - Total hours over 4 weeks = Total weekly hours × 4 weeks - Total hours over 4 weeks = 30 hours/week × 4 weeks = 120 hours.Final Answer:# 120
question:Layla is an environmentalist in Bahrain who is working on a project to plant mangrove trees along the coastline to help combat erosion and support marine life. She plans to plant 5 rows of mangrove trees, with each row containing 12 trees. After planting these, she learns that an additional 3 rows of 8 trees each can be planted in another area of the coastline. How many mangrove trees will Layla plant in total?
answer:To find the total number of mangrove trees Layla will plant, we need to calculate the number of trees in two parts: the initial planting and the additional planting.Step 1: Calculate the number of trees in the initial planting.- Layla plans to plant 5 rows of 12 trees each.- Number of trees in the initial planting = Number of rows × Number of trees per row- Number of trees in the initial planting = 5 × 12 = 60 treesStep 2: Calculate the number of trees in the additional planting.- Layla learns she can plant 3 more rows of 8 trees each.- Number of trees in the additional planting = Number of rows × Number of trees per row- Number of trees in the additional planting = 3 × 8 = 24 treesStep 3: Calculate the total number of trees.- Total number of trees = Number of trees in the initial planting + Number of trees in the additional planting- Total number of trees = 60 + 24 = 84 trees# 84
question:Mr. Thompson, a former history teacher, is writing an article about the historical growth of a small town for the local historical society newsletter. In the year 1900, the town had a population of 2,500 people. By 1950, the population had grown to 10,000 people. Mr. Thompson wants to include a section in his article that explains the average increase in population per decade over this 50-year period. How much did the town's population increase, on average, each decade from 1900 to 1950?
answer:To find the average increase in population per decade from 1900 to 1950, we can follow these steps:1. Identify the initial and final populations: - Initial population in 1900 = 2,500 people - Final population in 1950 = 10,000 people 2. Calculate the total population increase over the 50-year period: The total increase in population is the difference between the final and initial populations. [ text{Total population increase} = 10,000 - 2,500 = 7,500 text{ people} ]3. Determine the number of decades between 1900 and 1950: The time period from 1900 to 1950 is 50 years, which is equivalent to 5 decades (since 1 decade = 10 years). 4. Calculate the average increase in population per decade: To find the average increase per decade, divide the total population increase by the number of decades. [ text{Average increase per decade} = frac{7,500}{5} = 1,500 text{ people per decade} ]Therefore, the average increase in the town's population per decade from 1900 to 1950 is:# 1,500
question:A global supply chain manager is planning to expand operations into three new markets with the help of a trade attaché. The attaché provides the manager with information on the estimated monthly demand for each market: 200 units in Market A, 150 units in Market B, and 250 units in Market C. The manager calculates that the cost of producing and shipping each unit is 10. If the manager wants to send enough units to cover the total monthly demand in all three markets, what will be the total monthly cost of production and shipping?
answer:To solve this problem, we need to follow these steps:1. Identify the demand for each market: - Market A has a demand of 200 units. - Market B has a demand of 150 units. - Market C has a demand of 250 units.2. Calculate the total demand: - Add the demands from all three markets to find the total monthly demand. - Total demand = Demand in Market A + Demand in Market B + Demand in Market C - Total demand = 200 units + 150 units + 250 units = 600 units3. Determine the cost per unit: - The cost of producing and shipping each unit is given as 10.4. Calculate the total monthly cost: - Multiply the total demand by the cost per unit to find the total monthly cost. - Total monthly cost = Total demand × Cost per unit - Total monthly cost = 600 units × 10/unit = 6000Thus, the total monthly cost of production and shipping to cover the demand in all three markets is 6000.#6000