Appearance
question:A film director is planning to make a new movie and wants to feature 5 scenes inspired by Joe Cobden's remarkable on-screen presence. For each scene, the director plans to shoot 3 different angles. If each angle requires 4 takes to capture the perfect shot, how many total takes will the director need to film all the scenes?
answer:To solve this problem, we need to calculate the total number of takes required for all the scenes in the movie.1. Determine the number of scenes: - The director plans to feature 5 scenes.2. Determine the number of angles per scene: - For each scene, the director plans to shoot 3 different angles.3. Determine the number of takes per angle: - Each angle requires 4 takes.4. Calculate the total takes per scene: - For each scene, the number of takes is calculated by multiplying the number of angles by the number of takes per angle. [ text{Total takes per scene} = 3 , text{angles} times 4 , text{takes per angle} = 12 , text{takes per scene} ]5. Calculate the total takes for all scenes: - Since there are 5 scenes, multiply the total takes per scene by the number of scenes. [ text{Total takes for all scenes} = 5 , text{scenes} times 12 , text{takes per scene} = 60 , text{total takes} ]Thus, the total number of takes the director will need to film all the scenes is:# 60
question:Alex is a Java backend developer with several years of professional experience. Every week, Alex spends 15 hours coding new features, 10 hours fixing bugs, and 5 hours in meetings. Additionally, Alex dedicates 4 hours per week to learning new technologies to stay updated with industry trends. If there are 4 weeks in a month, how many hours does Alex spend on work-related activities in a month?
answer:To determine how many hours Alex spends on work-related activities in a month, we need to calculate the total number of hours he spends each week and then multiply that by the number of weeks in a month.1. Calculate weekly work hours: - Coding new features: 15 hours per week - Fixing bugs: 10 hours per week - Meetings: 5 hours per week - Learning new technologies: 4 hours per week Total weekly work hours = 15 + 10 + 5 + 4 = 34 hours per week2. Calculate monthly work hours: - There are 4 weeks in a month. Total monthly work hours = 34 hours/week * 4 weeks = 136 hoursTherefore, Alex spends 136 hours on work-related activities in a month.# 136
question:Sondra's friend, Alex, has just returned home after studying abroad for 4 years. During their time abroad, Alex collected souvenirs from each of the 12 countries they visited. If Alex collected 3 souvenirs from each country, how many souvenirs does Alex have in total? Additionally, if Alex decides to give 2 souvenirs to Sondra from each country, how many souvenirs will Alex have left?
answer:To solve the problem, we need to first determine the total number of souvenirs Alex collected, and then calculate how many souvenirs will remain after giving gifts to Sondra.Step 1: Calculate the total number of souvenirs collected by Alex.- Alex visited 12 countries.- Alex collected 3 souvenirs from each country.To find the total number of souvenirs, we multiply the number of countries by the number of souvenirs collected per country:[12 text{ countries} times 3 text{ souvenirs per country} = 36 text{ souvenirs}]Step 2: Calculate the number of souvenirs Alex gives to Sondra.- Alex gives 2 souvenirs to Sondra from each country. To find the total number of souvenirs given to Sondra, we multiply the number of countries by the number of souvenirs given per country:[12 text{ countries} times 2 text{ souvenirs per country} = 24 text{ souvenirs}]Step 3: Calculate the number of souvenirs Alex has left.To find out how many souvenirs Alex has left, we subtract the number of souvenirs given to Sondra from the total number of souvenirs Alex initially collected:[36 text{ souvenirs} - 24 text{ souvenirs} = 12 text{ souvenirs}]Alex will have 12 souvenirs left after giving souvenirs to Sondra.# 12
question:Thandi is an entrepreneur from the KZN Province who started a small business selling handmade crafts. She recently received an order to supply 120 handcrafted items to a local store. To complete this order, Thandi needs to buy more materials. She calculates that each item requires materials costing R15. She currently has R1,200 available. If Thandi wants to fulfill the order, how much additional funding does she need to secure?
answer:To solve the problem, we need to determine the total cost of materials required to fulfill the order and compare it with the amount of money Thandi currently has. Let's break it down step-by-step.1. Calculate the Total Cost of Materials: - Thandi needs to supply 120 handcrafted items. - Each item requires materials costing R15. - Therefore, the total cost of materials for 120 items is calculated as: [ text{Total Cost} = 120 times 15 = R1800 ]2. Determine the Shortfall: - Thandi currently has R1,200 available. - To find out how much additional funding she needs, we subtract the amount she has from the total cost: [ text{Shortfall} = R1800 - R1200 = R600 ]Thandi needs R600 in additional funding to fulfill the order.# R600
question:Captain Elena is a pilot who has been flying commercial jets for 15 years. She has noticed that with the advancements in automation, the time spent manually flying the plane has decreased significantly. In the past, she used to manually control the plane for about 60% of the flight duration. Now, due to automation, she only manually controls the plane for 25% of the flight duration. If a typical flight lasts 4 hours, how many fewer minutes does Captain Elena spend manually flying the plane now compared to before automation?
answer:To solve this problem, we need to calculate the difference in the amount of time Captain Elena spends manually flying the plane before and after automation. We'll break this down into a step-by-step solution.1. Determine the total flight duration in minutes: A typical flight lasts 4 hours. Since there are 60 minutes in an hour, the total flight duration in minutes is: [ 4 text{ hours} times 60 text{ minutes/hour} = 240 text{ minutes} ]2. Calculate the time spent manually flying before automation: Before automation, Captain Elena manually controlled the plane for 60% of the flight duration. So, the time spent manually flying before automation is: [ 60% times 240 text{ minutes} = 0.60 times 240 = 144 text{ minutes} ]3. Calculate the time spent manually flying after automation: Now, with automation, she manually controls the plane for 25% of the flight duration. The time spent manually flying after automation is: [ 25% times 240 text{ minutes} = 0.25 times 240 = 60 text{ minutes} ]4. Calculate the difference in time spent manually flying: The difference in the time spent manually flying before and after automation is: [ 144 text{ minutes} - 60 text{ minutes} = 84 text{ minutes} ]Thus, Captain Elena spends 84 fewer minutes manually flying the plane now compared to before automation.# 84
question:A group of 5 start-up owners decided to collaborate on a branding and design project to save costs. They each contributed equally to a shared fund to hire a design agency. The total cost for the design agency was 2,500. After the project was completed, they realized they had saved 15% of their estimated budget by sharing resources. If the estimated budget was 3,000, how much did each start-up owner contribute to the shared fund?
answer:To solve the problem, we can break it down into the following steps:1. Determine the Actual Cost Savings: - The estimated budget was 3,000. - They saved 15% of the estimated budget by sharing resources. - Calculate the savings: ( text{Savings} = 0.15 times 3,000 = 450 ).2. Determine the Actual Cost: - Since they saved 450, the actual cost of the project is: [ text{Actual Cost} = text{Estimated Budget} - text{Savings} = 3,000 - 450 = 2,550 ]3. Compare with the Actual Paid Amount: - The problem states the total cost for the design agency was 2,500, which matches what they actually paid, indicating the actual cost they paid is 2,500.4. Calculate Each Owner’s Contribution: - Since the total cost was 2,500 and they shared the cost equally among 5 owners: [ text{Contribution per owner} = frac{2,500}{5} = 500 ]Each start-up owner contributed 500 to the shared fund.# 500