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question:Emma is a fierce feminist and sex-positive advocate who also appreciates financial literacy. She decides to host a series of educational workshops over the month to empower women and promote financial independence. She plans to hold 4 workshops, each on a different weekend. For each workshop, she charges an entry fee of 15. Emma expects 20 attendees at each workshop. She wants to donate 30% of her total earnings from these workshops to a local women's shelter. How much money will Emma donate to the women's shelter after all the workshops are completed?
answer:To solve the problem, we need to calculate Emma's total earnings from the workshops and then determine how much she will donate to the women's shelter.Step 1: Calculate Total Earnings from One Workshop- Entry fee per attendee: 15- Expected number of attendees per workshop: 20Total earnings from one workshop = Entry fee per attendee × Number of attendees[ text{Total earnings from one workshop} = 15 times 20 = 300 ]Step 2: Calculate Total Earnings from All Workshops- Emma plans to hold 4 workshops. Total earnings from all workshops = Total earnings from one workshop × Number of workshops[ text{Total earnings from all workshops} = 300 times 4 = 1200 ]Step 3: Calculate Amount to be Donated- Emma wants to donate 30% of her total earnings.Donation amount = 30% of Total earnings from all workshops[ text{Donation amount} = 0.30 times 1200 = 360 ]Emma will donate 360 to the women's shelter.# 360
question:Jamie is a student at Lawrence Technological University (LTU) and recently attended a campus event where they participated in a scavenger hunt. During the event, Jamie had to find a series of hidden items around campus. For each item found, Jamie earned 5 points. By the end of the event, Jamie had found 7 items. After the scavenger hunt, there was a trivia quiz where Jamie answered 8 questions correctly, earning 3 points for each correct answer. How many total points did Jamie earn from both the scavenger hunt and the trivia quiz?
answer:To find out the total points Jamie earned from both the scavenger hunt and the trivia quiz, we need to calculate the points from each activity separately and then sum them up.Step 1: Calculate points from the scavenger huntJamie found 7 items during the scavenger hunt. For each item found, Jamie earned 5 points. Therefore, the total points from the scavenger hunt can be calculated as:[text{Points from scavenger hunt} = 7 text{ items} times 5 text{ points/item} = 35 text{ points}]Step 2: Calculate points from the trivia quizJamie answered 8 questions correctly in the trivia quiz. For each correct answer, Jamie earned 3 points. Therefore, the total points from the trivia quiz can be calculated as:[text{Points from trivia quiz} = 8 text{ questions} times 3 text{ points/question} = 24 text{ points}]Step 3: Calculate the total pointsTo find the total points Jamie earned, we add the points from the scavenger hunt and the trivia quiz:[text{Total points} = 35 text{ points} + 24 text{ points} = 59 text{ points}]Thus, the total points Jamie earned from both the scavenger hunt and the trivia quiz is:# 59
question:Alex is a parent who is preparing snacks for a local advocacy event to raise awareness about children with multiple allergies. They want to make sure that every child can enjoy the snacks safely. Alex decides to prepare three types of snacks: apple slices, rice cakes, and carrot sticks. Alex plans to make 150 apple slices, 120 rice cakes, and 180 carrot sticks. Each child attending the event can have 3 apple slices, 2 rice cakes, and 4 carrot sticks. If Alex expects 30 children to attend, how many extra snacks of each type will they have left over after each child receives their portion?
answer:To solve this problem, we need to determine how many of each type of snack is distributed and then calculate how many are left over.1. Determine the total number of snacks needed for 30 children: - Each child receives 3 apple slices, 2 rice cakes, and 4 carrot sticks. - For 30 children: - Apple slices needed: (30 times 3 = 90) - Rice cakes needed: (30 times 2 = 60) - Carrot sticks needed: (30 times 4 = 120)2. Calculate the number of snacks left over: - Start with the total prepared and subtract the total distributed to find the leftovers. - Apple slices: - Prepared: 150 - Distributed: 90 - Leftover: (150 - 90 = 60) - Rice cakes: - Prepared: 120 - Distributed: 60 - Leftover: (120 - 60 = 60) - Carrot sticks: - Prepared: 180 - Distributed: 120 - Leftover: (180 - 120 = 60)3. Compile the leftover snacks: - Apple slices leftover: 60 - Rice cakes leftover: 60 - Carrot sticks leftover: 60Thus, after distributing the snacks to 30 children, the number of extra snacks of each type Alex will have left over is:# 60 apple slices, 60 rice cakes, 60 carrot sticks
question:Alex, who is the successor of a well-known industrial business family, has a passion for arts and cultural heritage. Alex decided to purchase several paintings to display in their family’s corporate office. Each painting costs 250. Alex wants to dedicate a section of the office to exhibit 12 paintings. In addition, Alex is planning to donate 1,500 to a local museum to support cultural heritage programs. How much total money will Alex spend on purchasing the paintings and making the donation?
answer:To solve this problem, we need to calculate the total amount of money Alex will spend on both purchasing the paintings and making the donation to the local museum.1. Calculate the cost of the paintings: - Each painting costs 250. - Alex wants to purchase 12 paintings. - The total cost for the paintings is calculated by multiplying the cost of one painting by the number of paintings: [ text{Total cost for paintings} = 250 times 12 ] - Performing the multiplication: [ 250 times 12 = 3000 ] - Thus, the total cost for the paintings is 3,000.2. Calculate the total expenditure: - Alex also plans to donate 1,500 to a local museum. - To find the total money spent, add the cost of the paintings to the donation amount: [ text{Total expenditure} = 3000 + 1500 ] - Performing the addition: [ 3000 + 1500 = 4500 ]Therefore, the total money Alex will spend on purchasing the paintings and making the donation is 4,500.# 4500
question:Alex is a backend developer who specializes in API development. One day, Alex is tasked with optimizing the response time of an API that currently takes 120 milliseconds to complete a request. By debugging and optimizing the code, Alex manages to reduce the response time by 15 milliseconds every day over a period of 5 days. After this period, Alex further improves the API by reducing its response time by an additional 10 milliseconds. What is the final response time of the API after all these optimizations?
answer:To solve the problem, we need to calculate the total reduction in response time and subtract it from the initial response time of the API.Step 1: Calculate the reduction in response time over the first 5 days.- Initial response time = 120 milliseconds- Reduction per day = 15 milliseconds- Number of days = 5The total reduction over 5 days can be calculated as:[ text{Total reduction over 5 days} = 15 text{ milliseconds/day} times 5 text{ days} = 75 text{ milliseconds} ]Step 2: Calculate the additional reduction after the 5 days.After the initial 5 days period, Alex reduces the response time by an additional 10 milliseconds.Step 3: Calculate the total reduction in response time.The total reduction in response time is the sum of the reduction over the first 5 days and the additional reduction:[ text{Total reduction} = 75 text{ milliseconds} + 10 text{ milliseconds} = 85 text{ milliseconds} ]Step 4: Calculate the final response time of the API.Subtract the total reduction from the initial response time:[ text{Final response time} = 120 text{ milliseconds} - 85 text{ milliseconds} = 35 text{ milliseconds} ]Therefore, the final response time of the API after all optimizations is:# 35 milliseconds
question:An entrepreneur is working to commercialize a new organic semiconductor technology. She estimates that for every 1,000 she invests in research, her team can develop a new prototype. If it costs 500 to test each prototype and she has a budget of 10,000 for both development and testing, how many prototypes can she fully develop and test?
answer:To solve this problem, we need to determine how many prototypes the entrepreneur can develop and test within her 10,000 budget. We know:1. It costs 1,000 to develop one prototype.2. It costs 500 to test one prototype.Let's break it down step-by-step:1. Define Variables: - Let ( x ) be the number of prototypes developed. - The cost to develop ( x ) prototypes is ( 1000x ) dollars. - The cost to test ( x ) prototypes is ( 500x ) dollars.2. Set Up the Budget Equation: - The total cost for developing and testing ( x ) prototypes is given by the equation: [ 1000x + 500x leq 10,000 ] - Simplifying this equation: [ 1500x leq 10,000 ]3. Solve for ( x ): - Divide both sides of the inequality by 1500: [ x leq frac{10,000}{1500} ] - Calculate the right-hand side: [ x leq frac{10,000}{1500} approx 6.6667 ]4. Interpret the Result: - Since ( x ) must be a whole number (you can't develop a fraction of a prototype), we take the largest integer less than or equal to 6.6667, which is 6.Hence, the entrepreneur can fully develop and test 6 prototypes.# 6