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question:A researcher is studying the ecological importance of the sacred lands and collaborates with an elder to raise awareness. Together, they decide to organize educational workshops for the local community to share their findings. They plan to host workshops over 4 weeks, with 3 workshops each week. Each workshop can accommodate 15 participants. In addition to the workshops, they also distribute 5 educational flyers per participant to spread the message further. How many educational flyers do they need in total for all the workshops over the 4 weeks?
answer:To solve this problem, we need to calculate the total number of workshops, the total number of participants, and then determine how many educational flyers are needed based on the number of participants.Step-by-step Solution:1. Calculate the Total Number of Workshops: The researchers plan to host workshops over 4 weeks, with 3 workshops each week. Therefore, the total number of workshops is: [ text{Total Workshops} = 4 text{ weeks} times 3 text{ workshops/week} = 12 text{ workshops} ]2. Calculate the Total Number of Participants: Each workshop can accommodate 15 participants. Therefore, the total number of participants across all workshops is: [ text{Total Participants} = 12 text{ workshops} times 15 text{ participants/workshop} = 180 text{ participants} ]3. Calculate the Total Number of Educational Flyers Needed: Each participant receives 5 educational flyers. Therefore, the total number of flyers needed is: [ text{Total Flyers} = 180 text{ participants} times 5 text{ flyers/participant} = 900 text{ flyers} ]# 900
question:Jamie loves watching the weatherperson on TV because they always do funny dances while presenting the weather forecast. Today, the weatherperson danced 3 different dances: a sunny shuffle, a rainy rumba, and a windy waltz. During the sunny shuffle, the weatherperson did 5 spins and 2 jumps. During the rainy rumba, they did 8 spins and 3 jumps. Finally, during the windy waltz, they did 4 spins and 6 jumps. How many total spins and jumps did the weatherperson perform during all three dances?
answer:To solve the problem, we will calculate the total number of spins and jumps separately by adding the numbers from each dance.First, let's find the total number of spins:- During the sunny shuffle, the weatherperson did 5 spins.- During the rainy rumba, they did 8 spins.- During the windy waltz, they did 4 spins.Now, add these numbers to find the total spins:[5 text{ (sunny shuffle)} + 8 text{ (rainy rumba)} + 4 text{ (windy waltz)} = 17 text{ spins}]Next, let's find the total number of jumps:- During the sunny shuffle, the weatherperson did 2 jumps.- During the rainy rumba, they did 3 jumps.- During the windy waltz, they did 6 jumps.Now, add these numbers to find the total jumps:[2 text{ (sunny shuffle)} + 3 text{ (rainy rumba)} + 6 text{ (windy waltz)} = 11 text{ jumps}]Finally, we have calculated:- Total spins: 17- Total jumps: 11The total number of spins and jumps is the sum of these two totals:[17 text{ spins} + 11 text{ jumps} = 28]Thus, the weatherperson performed a total of 28 spins and jumps.# 28
question:Sarah is a fitness instructor who emphasizes the importance of staying hydrated and consuming natural foods to help reduce allergy symptoms. She suggests drinking 8 glasses of water each day and eating 2 servings of fruits and 3 servings of vegetables daily. If Sarah conducts a 5-day wellness program and each participant follows her suggestions, how many total glasses of water, servings of fruits, and servings of vegetables will one participant consume by the end of the program?
answer:To solve the problem, we need to calculate the total consumption of water, fruits, and vegetables for one participant over the 5-day wellness program based on Sarah's daily recommendations.Step-by-step Solution:1. Calculate the total number of glasses of water consumed: - Daily recommendation: 8 glasses of water - Duration of the program: 5 days - Total glasses of water = 8 glasses/day * 5 days = 40 glasses2. Calculate the total number of servings of fruits consumed: - Daily recommendation: 2 servings of fruits - Duration of the program: 5 days - Total servings of fruits = 2 servings/day * 5 days = 10 servings3. Calculate the total number of servings of vegetables consumed: - Daily recommendation: 3 servings of vegetables - Duration of the program: 5 days - Total servings of vegetables = 3 servings/day * 5 days = 15 servingsAfter calculating each component, we have the total consumption for one participant over the 5-day program.# 40 glasses of water, 10 servings of fruits, 15 servings of vegetables
question:Alex is a government intelligence analyst who monitors nuclear proliferation. In one of her assignments, she needs to analyze data from three different countries, A, B, and C, regarding their uranium enrichment activities. Country A has enriched 120 kilograms of uranium in the past year. Country B has enriched 80 kilograms, which is 25% less than what Country C has enriched. Alex needs to calculate the total amount of uranium enriched by all three countries combined.To ensure accurate monitoring, Alex also needs to know how much more uranium Country A has enriched compared to the combined total of Countries B and C. What is the total amount of uranium enriched by all three countries, and how much more uranium has Country A enriched compared to the combined total of Countries B and C?
answer:To solve the problem, we need to find the total amount of uranium enriched by all three countries (A, B, and C) and determine how much more uranium Country A has enriched compared to the combined total of Countries B and C.Step 1: Calculate the amount of uranium enriched by Country C.- We know that Country B has enriched 80 kilograms, which is 25% less than what Country C has enriched. - Let ( x ) be the amount of uranium enriched by Country C.- Since 80 kg is 25% less than ( x ), we have:[80 = x - 0.25x][80 = 0.75x][x = frac{80}{0.75} = frac{80 times 100}{75} = frac{8000}{75} approx 106.67]So, Country C has enriched approximately 106.67 kilograms of uranium.Step 2: Calculate the total amount of uranium enriched by all three countries.- Country A has enriched 120 kilograms.- Country B has enriched 80 kilograms.- Country C has enriched approximately 106.67 kilograms.- The total amount enriched by all three countries is:[120 + 80 + 106.67 = 306.67 text{ kilograms}]Step 3: Calculate how much more uranium Country A has enriched compared to the combined total of Countries B and C.- The combined total of Countries B and C is:[80 + 106.67 = 186.67 text{ kilograms}]- The difference between Country A's enrichment and the combined total of Countries B and C is:[120 - 186.67 = -66.67 text{ kilograms}]This indicates that Country A has enriched 66.67 kilograms less than the combined total of Countries B and C.Final Answer:# Total enriched: 306.67 kg; Difference (A vs B+C): -66.67 kg #
question:An established film director is invited to teach a master-class in film direction. The class is designed to run for 6 weeks, with sessions taking place twice a week. Each session lasts for 2 hours. The director charges 150 per hour for teaching. 1. How many total hours will the director spend teaching during the entire master-class?2. What is the total amount the director will earn from teaching this master-class?
answer:To solve the problem, we need to determine the total number of teaching hours and then calculate the director's earnings based on the hourly rate.Step 1: Calculate the total number of sessions.- The master-class runs for 6 weeks.- There are 2 sessions per week.- Therefore, the total number of sessions is: [ 6 text{ weeks} times 2 text{ sessions/week} = 12 text{ sessions} ]Step 2: Calculate the total number of hours spent teaching.- Each session lasts for 2 hours.- Therefore, the total number of teaching hours is: [ 12 text{ sessions} times 2 text{ hours/session} = 24 text{ hours} ]Step 3: Calculate the total earnings of the director.- The director charges 150 per hour.- Therefore, the total earnings are: [ 24 text{ hours} times 150 text{ dollars/hour} = 3600 text{ dollars} ]Thus, the director will earn a total of 3,600 from teaching the master-class.# 24 hours, 3600
question:A film director is hosting a private screening of their latest project. They have invited a select group of 8 friends and 12 neighbors to attend the screening. The director wants to provide snacks for everyone, including themselves. If each person, including the director, receives 3 popcorn bags and 2 bottles of soda, how many popcorn bags and bottles of soda does the director need to prepare in total for the screening?
answer:To solve this problem, we need to calculate the total number of people attending the screening, and then determine how many popcorn bags and bottles of soda are required per person.Step 1: Calculate the total number of people attending the screening.- Number of friends = 8- Number of neighbors = 12- The director themselves = 1Total number of people = 8 (friends) + 12 (neighbors) + 1 (director) = 21 peopleStep 2: Calculate the total number of popcorn bags needed.- Each person receives 3 popcorn bags.- Total popcorn bags = 21 people × 3 popcorn bags/person = 63 popcorn bagsStep 3: Calculate the total number of bottles of soda needed.- Each person receives 2 bottles of soda.- Total bottles of soda = 21 people × 2 bottles of soda/person = 42 bottles of sodaFinal Answer: The director needs to prepare a total of 63 popcorn bags and 42 bottles of soda.# 63 popcorn bags and 42 bottles of soda