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question:Professor Thompson, a traditional English professor, has a collection of 120 classic novels. He is considering updating his teaching methods to include digital versions of these novels. However, he is hesitant and decides to start by converting only 25% of his collection into digital format. After discussing with a colleague, he decides to add 10 more digital novels to the collection to make it more comprehensive. How many novels in total will Professor Thompson have in digital format after these changes?
answer:To find out how many novels Professor Thompson will have in digital format after the changes, we need to follow these steps:1. Determine 25% of the collection for digital conversion: - Professor Thompson has a total of 120 classic novels. - To find 25% of 120, we calculate: [ 0.25 times 120 = 30 ] - Therefore, 30 novels will initially be converted to digital format.2. Add 10 more digital novels: - After converting 30 novels, Professor Thompson decides to add 10 more novels to the digital collection. - So, we add 10 to the initial 30 digital novels: [ 30 + 10 = 40 ]3. Calculate the total number of digital novels: - After these changes, Professor Thompson will have a total of 40 novels in digital format.# 40
question:A renowned historian is archiving records of Quaker meetings in colonial Pennsylvania. She discovers that each Quaker meeting house hosted 3 meetings every week. In one particular year, a meeting house was closed for repairs for 8 weeks and thus did not hold any meetings during that time. How many Quaker meetings were held at that meeting house in the rest of the year?
answer:To solve this problem, we need to calculate the total number of meetings held at the Quaker meeting house in the year, excluding the period it was closed for repairs.1. Determine the number of weeks in a year: A year typically has 52 weeks.2. Calculate the number of weeks the meeting house was open: Since the meeting house was closed for 8 weeks, the number of weeks it was open is: [ 52 text{ weeks (total)} - 8 text{ weeks (closed)} = 44 text{ weeks (open)} ]3. Calculate the number of meetings per week: The meeting house hosted 3 meetings every week.4. Calculate the total number of meetings held while the meeting house was open: Multiply the number of weeks open by the number of meetings per week: [ 44 text{ weeks} times 3 text{ meetings per week} = 132 text{ meetings} ]Therefore, the number of Quaker meetings held at the meeting house in the rest of the year is 132.# 132
question:Emily is a financial advisor who is helping a city government plan for a new park. The city has decided to raise funds by issuing municipal bonds. Each bond has a face value of 1,000 and pays an annual interest rate of 5%. If the city needs to raise 500,000 to fund the park, how many bonds must Emily advise the city to issue?
answer:To solve this problem, follow these steps:1. Determine the face value of each bond: Each bond has a face value of 1,000.2. Calculate the total amount of funds needed: The city needs to raise 500,000.3. Determine how many bonds are needed to raise 500,000: This can be found by dividing the total amount of funds needed by the face value of each bond. [ text{Number of bonds needed} = frac{text{Total funds needed}}{text{Face value of each bond}} ]4. Substitute the known values into the equation: [ text{Number of bonds needed} = frac{500,000}{1,000} ]5. Calculate the result: [ text{Number of bonds needed} = 500 ]Thus, Emily should advise the city to issue 500 bonds.# 500
question:Alex is a novice software developer who is learning about data-binding in UserControls. As part of a project, Alex needs to create a dashboard that can display real-time data updates. To test the data-binding feature, Alex decides to simulate a data stream with a sequence of numbers. Alex starts with the number 5, and applies a series of operations to it to mimic data updates.First, Alex adds 7 to the initial number. Then, Alex multiplies the result by 3. After that, Alex subtracts 12. Finally, Alex divides the current result by 2 to get the final number that will be displayed on the dashboard.What number will Alex see on the dashboard after performing all these operations?
answer:To solve the problem, we need to follow the sequence of operations step-by-step and compute the result.1. Start with the initial number: [ text{Initial number} = 5 ]2. Add 7 to the initial number: [ 5 + 7 = 12 ]3. Multiply the result by 3: [ 12 times 3 = 36 ]4. Subtract 12 from the result: [ 36 - 12 = 24 ]5. Divide the result by 2: [ frac{24}{2} = 12 ]After performing all these operations, the final number that Alex will see on the dashboard is 12.# 12
question:Jamie is a huge fan of the K-pop group (G)I-DLE, and she decided to buy some merchandise online. She bought 3 posters, each costing 8, and 2 T-shirts, each costing 20. She also purchased a special edition album for 25. If the shipping cost for all the items together is 10, how much did Jamie spend in total on her (G)I-DLE merchandise?
answer:To determine the total amount Jamie spent on her (G)I-DLE merchandise, we need to calculate the cost of each type of item she purchased and then add them all together, including the shipping cost.Step 1: Calculate the cost of the posters.- Jamie bought 3 posters and each costs 8.- Total cost for posters = Number of posters × Cost per poster = 3 × 8 = 24.Step 2: Calculate the cost of the T-shirts.- Jamie bought 2 T-shirts and each costs 20.- Total cost for T-shirts = Number of T-shirts × Cost per T-shirt = 2 × 20 = 40.Step 3: Determine the cost of the special edition album.- The album costs 25.Step 4: Add the shipping cost.- The shipping cost is 10.Step 5: Calculate the total expenditure.- Total cost = Cost of posters + Cost of T-shirts + Cost of album + Shipping cost- Total cost = 24 + 40 + 25 + 10 = 99.Therefore, Jamie spent a total of 99 on her (G)I-DLE merchandise.# 99
question:Mr. Thompson is a kind and understanding neighbor who helps his friend Emily adapt to the crowded city environment. Every Saturday, he runs errands for her. This Saturday, he plans to visit three different places: the grocery store, the pharmacy, and the post office.First, Mr. Thompson goes to the grocery store, which is 2 miles away from Emily's apartment. After shopping, he heads to the pharmacy, which is 3 miles from the grocery store. Finally, he visits the post office, located 4 miles from the pharmacy, before returning directly to Emily's apartment, which is 5 miles from the post office.How many miles in total does Mr. Thompson travel during his errands for Emily?
answer:To find the total distance Mr. Thompson travels, we need to add up the distances between each location he visits, as well as the distance back to Emily's apartment.1. From Emily's apartment to the grocery store: The distance is 2 miles.2. From the grocery store to the pharmacy: The distance is 3 miles.3. From the pharmacy to the post office: The distance is 4 miles.4. From the post office back to Emily's apartment: The distance is 5 miles.Now, add up all these distances to find the total distance Mr. Thompson travels:[2 text{ miles (to grocery store)} + 3 text{ miles (to pharmacy)} + 4 text{ miles (to post office)} + 5 text{ miles (back to apartment)} = 14 text{ miles}]Therefore, Mr. Thompson travels a total of 14 miles.# 14