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question:Alex is a software engineer who spends his day writing and testing code. He uses Cucumber to automate testing for web applications and Robolectric to test Android apps. One day, Alex writes 15 new test cases in Cucumber. For each test case, he spends 12 minutes writing the test and 8 minutes running and verifying it. After that, he switches to using Robolectric, where he writes 10 test cases. In Robolectric, each test case takes 18 minutes to write and 12 minutes to run and verify. How many total minutes does Alex spend on writing and verifying all his test cases in one day?
answer:To solve this problem, we need to calculate the total time Alex spends on writing and verifying test cases for both Cucumber and Robolectric.Step 1: Calculate time spent on Cucumber test cases1. Alex writes 15 test cases in Cucumber.2. For each test case, he spends: - 12 minutes writing - 8 minutes running and verifying3. Total time per Cucumber test case = 12 minutes (writing) + 8 minutes (verifying) = 20 minutes4. Total time for all Cucumber test cases = 15 test cases × 20 minutes/test case = 300 minutesStep 2: Calculate time spent on Robolectric test cases1. Alex writes 10 test cases in Robolectric.2. For each test case, he spends: - 18 minutes writing - 12 minutes running and verifying3. Total time per Robolectric test case = 18 minutes (writing) + 12 minutes (verifying) = 30 minutes4. Total time for all Robolectric test cases = 10 test cases × 30 minutes/test case = 300 minutesStep 3: Calculate total time spent on both Cucumber and Robolectric test cases1. Total time for Cucumber test cases = 300 minutes2. Total time for Robolectric test cases = 300 minutes3. Total time spent in one day = 300 minutes (Cucumber) + 300 minutes (Robolectric) = 600 minutesTherefore, Alex spends a total of 600 minutes on writing and verifying all his test cases in one day.# 600
question:A member of the Oak Ridge Unitarian Universalist Church (ORUUC) is organizing a musical event to raise funds for community activities. They have planned for a choir performance and a band concert. The choir performance requires 15 chairs for the singers and 8 stands for the music sheets. The band concert requires 12 chairs for the band members and 5 stands for the instruments. If each chair costs 3 and each stand costs 5, how much will it cost in total to rent all the chairs and stands needed for the event?
answer:To solve the problem, we need to calculate the total cost of renting all the chairs and stands required for both the choir performance and the band concert. Step-by-Step Solution:1. Determine the total number of chairs needed: - Chairs for choir performance: 15 - Chairs for band concert: 12 - Total chairs = 15 + 12 = 272. Determine the total number of stands needed: - Stands for choir performance: 8 - Stands for band concert: 5 - Total stands = 8 + 5 = 133. Calculate the total cost of renting the chairs: - Cost per chair = 3 - Total chairs = 27 - Total cost for chairs = 27 chairs × 3/chair = 814. Calculate the total cost of renting the stands: - Cost per stand = 5 - Total stands = 13 - Total cost for stands = 13 stands × 5/stand = 655. Calculate the total cost of renting all equipment: - Total cost = Total cost for chairs + Total cost for stands - Total cost = 81 + 65 = 146Therefore, the total cost to rent all the chairs and stands needed for the event is:# 146
question:Alex is a software engineer specializing in cybersecurity measures. Each week, Alex receives an average of 5 subpoenas related to cybersecurity breaches. For each subpoena, Alex spends 2 hours reviewing the case and 3 hours implementing necessary security measures. If Alex works 40 hours a week, how many hours does he have left for other tasks after handling the subpoenas for the week?
answer:To solve this problem, we need to calculate the total time Alex spends on subpoenas each week and then determine how many hours he has left for other tasks after handling the subpoenas.Step 1: Calculate the total number of subpoenas Alex handles in a week.According to the problem, Alex receives an average of 5 subpoenas per week.Step 2: Determine the total time spent on each subpoena.For each subpoena, Alex spends:- 2 hours reviewing the case,- 3 hours implementing necessary security measures.Total time per subpoena = 2 hours (reviewing) + 3 hours (implementing) = 5 hours.Step 3: Calculate the total time spent on all subpoenas in a week.Total time for all subpoenas = Number of subpoenas × Time per subpoena= 5 subpoenas × 5 hours per subpoena= 25 hours.Step 4: Calculate the total hours Alex works in a week and find out how many hours are left for other tasks.Alex works 40 hours a week.Time left for other tasks = Total hours worked in a week - Total hours spent on subpoenas= 40 hours - 25 hours= 15 hours.Thus, after handling the subpoenas, Alex has 15 hours left for other tasks.# 15
question:Alex is a British college student who is undecided about Brexit. To make a decision, Alex decides to discuss with their French activist friend, Marie. They agree to meet at a cafe to talk over tea and croissants. The cafe offers tea at £2 per cup and a croissant at £1.50 each. Alex and Marie each have 2 cups of tea and share a total of 5 croissants. How much does the total bill come to for their meeting?
answer:To find the total bill for Alex and Marie's meeting, we need to calculate the cost of the tea and croissants they consumed.Step 1: Calculate the cost of the tea.- Alex and Marie each have 2 cups of tea. So, the total number of cups of tea is: [ 2 , (text{cups for Alex}) + 2 , (text{cups for Marie}) = 4 , text{cups of tea} ]- The cost per cup of tea is £2. Therefore, the total cost for the tea is: [ 4 , (text{cups of tea}) times £2 = £8 ]Step 2: Calculate the cost of the croissants.- Alex and Marie share a total of 5 croissants. The cost per croissant is £1.50. Therefore, the total cost for the croissants is: [ 5 , (text{croissants}) times £1.50 = £7.50 ]Step 3: Calculate the total bill.- Add the total cost of the tea and the total cost of the croissants to find the total bill: [ £8 , (text{cost of tea}) + £7.50 , (text{cost of croissants}) = £15.50 ]#£15.50
question:A safety manager is responsible for implementing safety measures across 5 different mining sites. Each site requires a specific number of safety inspections each month. Site A requires 8 inspections, Site B requires 7 inspections, Site C requires 6 inspections, Site D requires 9 inspections, and Site E requires 10 inspections. If each safety inspection takes 3 hours to complete, how many total hours will the safety manager spend on inspections across all sites in one month?
answer:To solve this problem, we need to calculate the total number of hours spent on safety inspections across all mining sites.Step 1: Determine the total number of inspections needed for each site.- Site A requires 8 inspections.- Site B requires 7 inspections.- Site C requires 6 inspections.- Site D requires 9 inspections.- Site E requires 10 inspections.Step 2: Add the number of inspections for all sites to find the total number of inspections.[text{Total inspections} = 8 + 7 + 6 + 9 + 10]Step 3: Calculate the sum:[8 + 7 = 1515 + 6 = 2121 + 9 = 3030 + 10 = 40]The total number of inspections is 40.Step 4: Each inspection takes 3 hours. Multiply the total number of inspections by the number of hours per inspection to get the total hours.[text{Total hours} = 40 times 3]Step 5: Calculate the product:[40 times 3 = 120]The safety manager will spend a total of 120 hours on inspections across all sites in one month.# 120
question:Jamie and Alex, a couple who share a love for good food, recently opened their first restaurant together. They decided to create a special menu for the opening day featuring their favorite dishes. They prepared 120 dishes in total: 40 pasta dishes, 50 seafood dishes, and the rest were dessert dishes. On opening day, they sold 75% of the pasta dishes, 60% of the seafood dishes, and 80% of the dessert dishes. How many dishes in total did they sell on the opening day?
answer:To solve this problem, we need to determine the number of dishes sold for each type of dish and then sum them up.Step 1: Determine the number of dessert dishes.Since the total number of dishes is 120, and there are 40 pasta dishes and 50 seafood dishes, the remaining dishes are dessert dishes.[ text{Number of dessert dishes} = 120 - 40 - 50 = 30 ]Step 2: Calculate the number of each type of dish sold.- Pasta dishes sold: Jamie and Alex sold 75% of the pasta dishes.[ text{Pasta dishes sold} = 0.75 times 40 = 30 ]- Seafood dishes sold: They sold 60% of the seafood dishes.[ text{Seafood dishes sold} = 0.60 times 50 = 30 ]- Dessert dishes sold: They sold 80% of the dessert dishes.[ text{Dessert dishes sold} = 0.80 times 30 = 24 ]Step 3: Sum the number of dishes sold.To find the total number of dishes sold on the opening day, we add the number of each type of dish sold:[ text{Total dishes sold} = text{Pasta dishes sold} + text{Seafood dishes sold} + text{Dessert dishes sold} ][ text{Total dishes sold} = 30 + 30 + 24 = 84 ]Thus, the total number of dishes sold on the opening day is 84.# 84