Appearance
question:A nostalgic old-time baseball fan remembers attending Milwaukee Brewers games as a child. During one particular season, the Brewers played 15 home games that the fan attended, and they won 60% of those games. On average, each game had 9 innings, and each inning took about 20 minutes to complete. How many total minutes did the fan spend at the Brewers' home games that season?
answer:To solve the problem, we need to determine the total time the fan spent at the Brewers' home games.1. Calculate the number of games attended: - The fan attended 15 home games.2. Determine the average length of each game in minutes: - Each game had 9 innings. - Each inning took about 20 minutes. - Therefore, the length of each game is ( 9 text{ innings} times 20 text{ minutes per inning} = 180 text{ minutes per game} ).3. Calculate the total time spent at all games: - Multiply the number of games by the length of each game to find the total time spent at the games. - Total time = ( 15 text{ games} times 180 text{ minutes per game} = 2700 text{ minutes} ).Thus, the total number of minutes the fan spent at the Brewers' home games that season is 2700 minutes.# 2700
question:Mr. Anderson, a senior high school music teacher, is organizing a music library for his students. He has 120 albums in his collection. He plans to remove any albums that contain explicit lyrics, which make up 25% of his collection. After removing these albums, he wants to add 15 new albums with classical music, as he strongly believes in promoting non-explicit and educational content. How many albums will Mr. Anderson have in his collection after making these changes?
answer:To solve the problem, we need to determine how many albums remain after Mr. Anderson removes the albums with explicit lyrics and then add the new albums he plans to introduce.1. Calculate the number of explicit albums: - Mr. Anderson's music library initially has 120 albums. - 25% of these albums contain explicit lyrics. - To find the number of explicit albums, calculate 25% of 120: [ text{Number of explicit albums} = 0.25 times 120 = 30 ]2. Determine the number of albums remaining after removal: - Remove the explicit albums from the collection: [ text{Albums remaining} = 120 - 30 = 90 ]3. Add the new classical music albums: - Mr. Anderson plans to add 15 classical music albums. - Add these new albums to the remaining collection: [ text{Total albums after additions} = 90 + 15 = 105 ]Thus, after removing the explicit albums and adding the new classical albums, Mr. Anderson will have a total of 105 albums in his collection.# 105
question:Ms. Lily is a preschool educator who loves to incorporate speech therapy techniques into her classroom activities. Today, she is organizing a fun activity where each child will pick a card with a picture of an object, say the name of the object out loud, and then use that word in a sentence. Ms. Lily has 5 sets of picture cards, and each set contains 8 different picture cards. After the activity, she plans to give each child 3 stickers as a reward for participating. If there are 12 children in her class, how many stickers does Ms. Lily need to prepare in total?
answer:To solve this problem, we need to determine the total number of stickers Ms. Lily needs to prepare for her class of 12 children, with each child receiving 3 stickers.Step 1: Determine the number of stickers each child receives.Each child receives 3 stickers.Step 2: Determine the total number of children in the class.There are 12 children in Ms. Lily's class.Step 3: Calculate the total number of stickers needed.To find the total number of stickers needed, multiply the number of stickers each child receives by the total number of children:[text{Total stickers} = text{Stickers per child} times text{Number of children}][text{Total stickers} = 3 times 12 = 36]Therefore, Ms. Lily needs to prepare 36 stickers in total.#36
question:Alex is a fire equipment vendor who personally visits clients to advise them on the best safety equipment for their needs. On a particular day, Alex visited 3 different buildings: an office building, a school, and a restaurant. For the office building, Alex recommended 15 fire extinguishers, each costing 30. For the school, Alex advised purchasing 10 fire extinguishers at the same price. At the restaurant, Alex suggested 8 fire extinguishers and also recommended installing 4 smoke detectors, each costing 25. If Alex gives a 10% discount on the total cost for any client who buys more than 10 fire extinguishers, what is the total amount the restaurant has to pay after the discount?
answer:To solve this problem, let's break down the costs for the restaurant and apply any discounts as needed:Step 1: Calculate the cost of the fire extinguishers for the restaurant.- Alex recommended 8 fire extinguishers for the restaurant.- Each fire extinguisher costs 30. [text{Cost of fire extinguishers} = 8 times 30 = 240 text{ dollars}]Step 2: Calculate the cost of the smoke detectors for the restaurant.- Alex recommended 4 smoke detectors for the restaurant.- Each smoke detector costs 25.[text{Cost of smoke detectors} = 4 times 25 = 100 text{ dollars}]Step 3: Calculate the total cost before any discount.- Add the cost of fire extinguishers and smoke detectors to get the total cost.[text{Total cost} = 240 + 100 = 340 text{ dollars}]Step 4: Determine if a discount applies.- The discount applies if more than 10 fire extinguishers are purchased by a client.- The restaurant purchased only 8 fire extinguishers, which is less than 10. Since the condition for the discount is not met, no discount is applied.Step 5: Calculate the total amount the restaurant has to pay.- Since no discount is applicable, the restaurant pays the full total cost calculated in Step 3.The total amount the restaurant has to pay is 340.# 340
question:Alex is a successful engineer who often thinks back to his high school math teacher, Mr. Thompson, who inspired him to develop his analytical skills. In honor of Mr. Thompson, Alex decides to donate a portion of his annual bonus to his old high school. This year, Alex received a bonus of 12,000. He plans to donate 15% of his bonus to the school's math department. With the remaining amount, he wants to invest equally in three different engineering projects. How much money will Alex donate to the math department, and how much will he allocate to each of the engineering projects?
answer:To solve the problem, we need to calculate two things: the amount Alex donates to the math department and the amount he invests in each of the three engineering projects.Step 1: Calculate the donation amount to the math department.Alex plans to donate 15% of his 12,000 bonus to the math department. We calculate 15% of 12,000 as follows:[text{Donation amount} = 0.15 times 12,000][text{Donation amount} = 1,800]So, Alex will donate 1,800 to the math department.Step 2: Calculate the remaining amount after the donation.Subtract the donation amount from the total bonus to find the remaining amount:[text{Remaining amount} = 12,000 - 1,800][text{Remaining amount} = 10,200]Step 3: Divide the remaining amount equally among the three engineering projects.Now, divide the remaining amount of 10,200 equally among the three projects:[text{Amount per project} = frac{10,200}{3}][text{Amount per project} = 3,400]Each engineering project will receive 3,400.The solution to the problem is:# Alex will donate 1,800 to the math department and allocate 3,400 to each of the engineering projects.
question:Emma, a young homeowner, is excited to start her first DIY woodworking project. She decides to build a simple wooden shelf for her living room. Emma plans to use four wooden planks, each 1.5 meters long, to create the shelf. She also wants to add two support beams, each 0.75 meters long, under the shelf for extra stability.Emma heads to the local hardware store where she finds that each wooden plank costs 5 and each support beam costs 3. She has a budget of 40 for this project. How much money will Emma have left after purchasing all the wooden materials for her shelf?
answer:To solve this problem, we need to determine the total cost of the materials Emma plans to purchase and then calculate how much money she will have left from her budget.Step 1: Calculate the cost of the wooden planks.- Emma plans to use four wooden planks.- Each plank costs 5.- Therefore, the total cost for the planks is: [ 4 text{ planks} times 5 text{ dollars per plank} = 20 text{ dollars} ]Step 2: Calculate the cost of the support beams.- Emma plans to use two support beams.- Each support beam costs 3.- Therefore, the total cost for the support beams is: [ 2 text{ beams} times 3 text{ dollars per beam} = 6 text{ dollars} ]Step 3: Calculate the total cost of all the materials.- The total cost for the wooden planks is 20.- The total cost for the support beams is 6.- Therefore, the total cost for all the materials is: [ 20 text{ dollars} + 6 text{ dollars} = 26 text{ dollars} ]Step 4: Calculate how much money Emma will have left.- Emma has a budget of 40.- The total cost of the materials is 26.- Therefore, the amount of money Emma will have left is: [ 40 text{ dollars} - 26 text{ dollars} = 14 text{ dollars} ]# 14