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question:Sarah is a first-time mother who is learning about prenatal care and insurance coverage. She found out that her insurance covers 70% of the cost of each prenatal visit, but she must pay the remaining 30% out of pocket. Each prenatal visit costs 150. If Sarah plans to have 10 prenatal visits, how much will she need to pay in total out of pocket for all her visits?
answer:To find out how much Sarah will need to pay out of pocket for all her prenatal visits, we can follow these steps:1. Calculate the out-of-pocket cost for one visit: Each prenatal visit costs 150. Sarah's insurance covers 70% of the cost, which means she pays the remaining 30%. To find the out-of-pocket cost per visit, calculate 30% of 150: [ text{Out-of-pocket cost per visit} = 0.30 times 150 = 45 ] So, Sarah pays 45 out of pocket for each visit.2. Calculate the total out-of-pocket cost for 10 visits: Sarah plans to have 10 prenatal visits. To find the total out-of-pocket cost for all visits, multiply the out-of-pocket cost per visit by the number of visits: [ text{Total out-of-pocket cost} = 45 times 10 = 450 ]Sarah will need to pay a total of 450 out of pocket for all her prenatal visits.# 450
question:Alex, a young aspiring comedian, loves to watch a TV show hosted by their favorite comedian, Jamie. Jamie always starts the show with a series of 5 quick jokes, each lasting exactly 2 minutes. Inspired by Jamie, Alex decides to host a small comedy show at their school. For their debut show, Alex plans to tell 3 jokes inspired by Jamie's style, each lasting 3 minutes. Afterward, Alex wants to engage the audience with a 15-minute interactive session where they ask the audience to come up with funny punchlines. Finally, Alex will close the show with a 7-minute story about how they got into comedy.If Alex plans to start the show at 4:00 PM, at what time will the show end?
answer:To solve the problem, we need to calculate the total duration of Alex's comedy show and determine the ending time given that it starts at 4:00 PM.1. Calculate the time for Alex's jokes: - Alex plans to tell 3 jokes, each lasting 3 minutes. - Total time for jokes = 3 jokes × 3 minutes per joke = 9 minutes.2. Calculate the time for the interactive session: - The interactive session is planned to last 15 minutes.3. Calculate the time for Alex's closing story: - The closing story is planned to last 7 minutes.4. Find the total duration of the show: - Total duration = Time for jokes + Time for interactive session + Time for closing story - Total duration = 9 minutes + 15 minutes + 7 minutes = 31 minutes.5. Determine the ending time of the show: - The show starts at 4:00 PM. - Add the total duration to the start time: 4:00 PM + 31 minutes. - 4:00 PM plus 31 minutes is 4:31 PM.Thus, the show will end at:# 4:31 PM
question:Alex is a high school athlete passionate about soccer, even though there is no family tradition of professional athletic success. Alex practices soccer every day after school. On weekdays, Alex practices for 2 hours each day, and on weekends, Alex practices for 3 hours each day. If Alex practices for 4 weeks, how many hours in total does Alex spend practicing soccer in that time?
answer:To solve this problem, we need to calculate the total number of hours Alex practices soccer over the course of 4 weeks.Step 1: Calculate the number of weekdays in 4 weeks.- There are 5 weekdays in a week.- Therefore, in 4 weeks, the number of weekdays is: [ 5 text{ weekdays/week} times 4 text{ weeks} = 20 text{ weekdays} ]Step 2: Calculate the number of weekend days in 4 weeks.- There are 2 weekend days in a week (Saturday and Sunday).- Therefore, in 4 weeks, the number of weekend days is: [ 2 text{ weekend days/week} times 4 text{ weeks} = 8 text{ weekend days} ]Step 3: Calculate the total practice hours on weekdays.- Alex practices for 2 hours each weekday.- Therefore, the total hours practiced on weekdays is: [ 2 text{ hours/day} times 20 text{ weekdays} = 40 text{ hours} ]Step 4: Calculate the total practice hours on weekends.- Alex practices for 3 hours each weekend day.- Therefore, the total hours practiced on weekends is: [ 3 text{ hours/day} times 8 text{ weekend days} = 24 text{ hours} ]Step 5: Calculate the total practice hours over the 4 weeks.- The total practice hours is the sum of the hours practiced on weekdays and weekends: [ 40 text{ hours (weekdays)} + 24 text{ hours (weekends)} = 64 text{ hours} ]Therefore, Alex spends a total of 64 hours practicing soccer over the 4 weeks.# 64
question:Sarah, a local small business owner in Nikolski, runs a small grocery store. Every week, she orders 50 pounds of fresh produce from a nearby farm. Each pound of produce costs 2.50. To cover transportation costs, she also pays a flat fee of 30 for delivery each week. If Sarah wants to make a 25% profit on the total cost of the produce and delivery, how much should she charge in total for the produce she sells each week?
answer:To solve this problem, we need to calculate the total cost Sarah incurs for the produce and delivery, then determine the selling price to achieve a 25% profit on that cost.1. Calculate the cost of the produce: - Sarah orders 50 pounds of produce each week. - The cost per pound of produce is 2.50. - Total cost for the produce = (50 text{ pounds} times 2.50/text{pound} = 125).2. Calculate the total delivery cost: - The delivery flat fee is 30. - Therefore, the delivery cost is 30.3. Calculate the total weekly cost: - Total cost = Cost of produce + Delivery cost - Total cost = 125 + 30 = 1554. Calculate the selling price for a 25% profit: - A 25% profit means Sarah wants to earn 25% over her total cost. - Desired profit = 25% of total cost = (0.25 times 155 = 38.75). - To find the total selling price, add the desired profit to the total cost: - Total selling price = Total cost + Desired profit - Total selling price = 155 + 38.75 = 193.75Thus, Sarah should charge a total of 193.75 for the produce she sells each week to achieve a 25% profit.# 193.75
question:A famous novelist, renowned for crafting captivating short stories, has just completed a new collection. Each story in the collection is exactly 8 pages long. If the novelist wrote 5 stories in one week, followed by 3 stories the next week, how many pages of gripping stories did the novelist write in total over the two weeks?
answer:To solve this problem, we need to determine the total number of pages written by the novelist over the two weeks.1. Identify the number of stories written each week: - In the first week, the novelist wrote 5 stories. - In the second week, the novelist wrote 3 stories.2. Determine the number of pages per story: - Each story is 8 pages long.3. Calculate the total number of pages for the first week: [ text{Pages in first week} = (text{Number of stories in first week}) times (text{Pages per story}) ] [ text{Pages in first week} = 5 times 8 = 40 text{ pages} ]4. Calculate the total number of pages for the second week: [ text{Pages in second week} = (text{Number of stories in second week}) times (text{Pages per story}) ] [ text{Pages in second week} = 3 times 8 = 24 text{ pages} ]5. Calculate the total number of pages over the two weeks: [ text{Total pages} = (text{Pages in first week}) + (text{Pages in second week}) ] [ text{Total pages} = 40 + 24 = 64 text{ pages} ]The total number of pages written by the novelist over the two weeks is 64 pages.# 64
question:As a middle school history teacher who loves sports statistics, you decide to create a fun math challenge for your students. You tell them about a famous basketball player from the past who scored an average of 30 points per game in one season. During that season, the player participated in 82 games. If this player scored 40 points in one of the games, how many total points did the player score in the remaining games of the season?
answer:To solve this problem, we need to calculate the total points scored by the basketball player during the season and then find out how many points were scored in the games other than the one where 40 points were scored.1. Calculate the Total Points for the Season: - The player averaged 30 points per game. - The player participated in 82 games. - Total points scored for the season = Average points per game × Number of games [ text{Total points} = 30 times 82 ] [ text{Total points} = 2460 ]2. Subtract the Points from the Game with 40 Points: - We know the player scored 40 points in one particular game. - To find the total points scored in the remaining games, subtract the 40 points from the total points. [ text{Points in remaining games} = 2460 - 40 ] [ text{Points in remaining games} = 2420 ]The player scored a total of 2420 points in the remaining games of the season.# 2420