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question:A tech-savvy retiree named Mr. Green loves gardening and uses technology to keep pests away from his plants. He has installed 4 digital sensors around his garden, each costing 25, to detect any pest activity. Additionally, he has set up 3 solar-powered ultrasonic pest repellers, each costing 40, to scare away the pests. Mr. Green also bought a smartphone app for 15 that helps monitor the sensors and repellers. How much did Mr. Green spend in total on his tech-savvy pest protection setup?

answer:To find the total amount Mr. Green spent on his tech-savvy pest protection setup, we need to calculate the cost of each component and then sum them up.1. Cost of digital sensors: - Number of sensors = 4 - Cost per sensor = 25 - Total cost for sensors = 4 sensors × 25/sensor = 1002. Cost of solar-powered ultrasonic pest repellers: - Number of repellers = 3 - Cost per repeller = 40 - Total cost for repellers = 3 repellers × 40/repeller = 1203. Cost of the smartphone app: - Cost of the app = 154. Total cost of the pest protection setup: - Total cost = Cost of sensors + Cost of repellers + Cost of the app - Total cost = 100 + 120 + 15 = 235#235

question:Jamie is a proactive project manager responsible for ensuring the timely delivery of infographics for a marketing campaign. She coordinates with three different designers: Alex, Bella, and Charlie. Each designer is working on different parts of the infographics. Alex can complete his part in 4 days, Bella in 3 days, and Charlie in 5 days. If they all start working on the project on the same day and continue to work at the same rate, how many total days will it take for Jamie to ensure the entire infographic project is completed?

answer:To solve this problem, we need to determine how quickly the combined effort of Alex, Bella, and Charlie can complete the entire infographic project when they work simultaneously.1. Identify the rates of work for each designer: - Alex can complete his part in 4 days. Therefore, Alex's work rate is ( frac{1}{4} ) of the project per day. - Bella can complete her part in 3 days. Therefore, Bella's work rate is ( frac{1}{3} ) of the project per day. - Charlie can complete his part in 5 days. Therefore, Charlie's work rate is ( frac{1}{5} ) of the project per day.2. Calculate the combined work rate: To find the combined work rate when all three designers are working together, we add their individual work rates: [ text{Combined work rate} = frac{1}{4} + frac{1}{3} + frac{1}{5} ]3. Find a common denominator: The least common multiple of 4, 3, and 5 is 60. We convert each fraction to have a denominator of 60: [ frac{1}{4} = frac{15}{60}, quad frac{1}{3} = frac{20}{60}, quad frac{1}{5} = frac{12}{60} ]4. Add the fractions: [ frac{15}{60} + frac{20}{60} + frac{12}{60} = frac{47}{60} ] The combined work rate is ( frac{47}{60} ) of the project per day.5. Determine the total days to complete the project: If ( frac{47}{60} ) of the project is completed in one day, then the entire project (1 whole) will be completed in: [ text{Total days} = frac{1}{frac{47}{60}} = frac{60}{47} ] We approximate ( frac{60}{47} ) to find the number of days: [ frac{60}{47} approx 1.2766 ] Since they cannot complete a fraction of a day, they will need 2 days to finish the project entirely.Thus, the entire infographic project will be completed in approximately 2 days.# 2

question:Jamie is an aspiring singer-songwriter who practices indie music every day. Jamie dedicates 2 hours each day to singing practice and spends an additional 1.5 hours writing songs. Over a week, how many total hours does Jamie spend practicing singing and writing songs? If Jamie wants to inspire a businessman by performing a special song that requires an extra 3 hours of practice, how many total hours will Jamie spend practicing and writing songs in that week?

answer:To solve the problem, let's break down Jamie's weekly schedule for practicing singing and writing songs:1. Daily Singing Practice: - Jamie practices singing for 2 hours each day. - In a week (7 days), the total hours spent on singing practice is: [ text{Total singing practice hours} = 2 , text{hours/day} times 7 , text{days} = 14 , text{hours} ]2. Daily Songwriting: - Jamie spends 1.5 hours each day writing songs. - In a week (7 days), the total hours spent on songwriting is: [ text{Total songwriting hours} = 1.5 , text{hours/day} times 7 , text{days} = 10.5 , text{hours} ]3. Total Weekly Hours for Singing and Songwriting: - Combine the hours spent on singing practice and songwriting: [ text{Total weekly hours} = 14 , text{hours} + 10.5 , text{hours} = 24.5 , text{hours} ]4. Additional Practice for Special Song: - Jamie wants to perform a special song that requires an extra 3 hours of practice. - Add these extra hours to the total weekly hours: [ text{New total weekly hours} = 24.5 , text{hours} + 3 , text{hours} = 27.5 , text{hours} ]The total number of hours Jamie will spend practicing and writing songs in that week, including the extra practice for the special song, is:# 27.5

question:Mr. Santoso, an Indonesian retiree and a passionate soccer fan, plans to attend several local soccer matches this month. When he was young, he used to play soccer every weekend and now he enjoys cheering for his favorite local team. He decides to buy tickets for 4 matches. Each ticket costs 50,000 Indonesian Rupiah. At each match, he plans to buy a snack costing 20,000 Rupiah and a drink costing 15,000 Rupiah. How much will Mr. Santoso spend in total for attending all 4 matches, including tickets, snacks, and drinks?

answer:To find out how much Mr. Santoso will spend in total for attending all 4 matches, we need to consider the costs of tickets, snacks, and drinks for each match. Let's break down the problem step by step:1. Cost of tickets: - Each ticket costs 50,000 Rupiah. - Mr. Santoso plans to attend 4 matches. - Total cost for tickets = 4 matches × 50,000 Rupiah/match = 200,000 Rupiah.2. Cost of snacks and drinks per match: - Cost of one snack = 20,000 Rupiah. - Cost of one drink = 15,000 Rupiah. - Total cost for snacks and drinks per match = 20,000 Rupiah + 15,000 Rupiah = 35,000 Rupiah.3. Total cost for snacks and drinks for all 4 matches: - Total cost for snacks and drinks per match = 35,000 Rupiah. - Total cost for 4 matches = 4 matches × 35,000 Rupiah/match = 140,000 Rupiah.4. Total expenditure for the matches: - Total cost for tickets = 200,000 Rupiah. - Total cost for snacks and drinks for all 4 matches = 140,000 Rupiah. - Total expenditure = 200,000 Rupiah + 140,000 Rupiah = 340,000 Rupiah.Therefore, Mr. Santoso will spend a total of:# 340,000 Rupiah

question:A non-profit organization called "Legal Aid for Refugees" works with law students to provide legal assistance to refugees. Last year, they recruited 15 law students, and each student helped 4 refugees with their legal cases. This year, they aim to increase the number of law students by 20% and hope that each student will assist 5 refugees. How many refugees does the organization expect to help in total this year?

answer:To solve the problem, we need to follow these steps:1. Determine the increase in the number of law students: - Last year, the organization had 15 law students. - This year, they aim to increase this number by 20%. To find the increased number of students: [ text{Increase} = 15 times 0.20 = 3 ] So, the total number of law students this year will be: [ 15 + 3 = 18 ]2. Calculate the number of refugees each student will assist: - Each student this year will assist 5 refugees.3. Calculate the total number of refugees assisted this year: - With 18 law students and each assisting 5 refugees, the total number of refugees assisted is: [ 18 times 5 = 90 ]Therefore, the organization expects to help a total of 90 refugees this year.# 90

question:A hospital administrator is working with a nursing instructor to recruit internationally educated nurses. They want to increase the diversity of the nursing staff by hiring 12 new nurses from various countries. Currently, they have 30 nurses, 5 of whom are internationally educated. After the recruitment, what percentage of the total nursing staff will be internationally educated if they successfully hire all 12 new nurses?

answer:To solve this problem, we need to determine the percentage of the nursing staff that will be internationally educated after hiring 12 new internationally educated nurses. Step-by-Step Solution:1. Current Number of Nurses: The hospital currently has 30 nurses.2. Current Number of Internationally Educated Nurses: Out of these 30 nurses, 5 are internationally educated.3. Newly Hired Internationally Educated Nurses: The hospital plans to hire 12 more internationally educated nurses.4. Total Number of Nurses After Hiring: After hiring the 12 new nurses, the total number of nurses will be: [ 30 + 12 = 42 ]5. Total Number of Internationally Educated Nurses After Hiring: After the recruitment, the total number of internationally educated nurses will be: [ 5 + 12 = 17 ]6. Calculate the Percentage of Internationally Educated Nurses: The percentage of nurses that are internationally educated is calculated by: [ text{Percentage} = left( frac{text{Number of Internationally Educated Nurses}}{text{Total Number of Nurses}} right) times 100 ] Substituting the numbers we have: [ text{Percentage} = left( frac{17}{42} right) times 100 ]7. Perform the Calculation: [ frac{17}{42} approx 0.40476 ] [ 0.40476 times 100 approx 40.476 ]8. Round the Result: The percentage of internationally educated nurses is approximately 40.48%. Final Answer:# 40.48%

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