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question:A graphic designer is painting a mural on a wall to help deter graffiti. The mural is designed to be 15 feet long and 10 feet tall. If the designer can paint 30 square feet in one hour, how many hours will it take to complete the entire mural?
answer:To solve this problem, we need to find out how many hours it will take for the designer to paint the entire mural.Step 1: Calculate the area of the mural.- The mural is 15 feet long and 10 feet tall.- The area of a rectangle is given by the formula: [ text{Area} = text{length} times text{height} ]- Therefore, the area of the mural is: [ 15 text{ feet} times 10 text{ feet} = 150 text{ square feet} ]Step 2: Determine how many hours it will take to paint the mural.- The designer can paint 30 square feet in one hour.- To find the number of hours required to paint 150 square feet, we use the formula: [ text{Time} = frac{text{Total Area}}{text{Area per Hour}} ]- Plug in the values: [ text{Time} = frac{150 text{ square feet}}{30 text{ square feet per hour}} = 5 text{ hours} ]# 5
question:A young actress is preparing for a bold and avant-garde photoshoot. She plans to wear 3 different outfits, and each outfit requires a unique combination of accessories: hats, scarves, and bracelets. For the first outfit, she needs 2 hats, 3 scarves, and 5 bracelets. For the second outfit, she needs 1 hat, 4 scarves, and 3 bracelets. Finally, for the third outfit, she needs 3 hats, 2 scarves, and 4 bracelets. If each hat costs 10, each scarf costs 5, and each bracelet costs 2, how much will the actress spend in total on accessories for all three outfits?
answer:To find the total cost of the accessories for all three outfits, we need to calculate the cost for each type of accessory in each outfit and then sum them up.Step 1: Calculate the cost of accessories for each outfit.- First Outfit: - Hats: 2 hats * 10/hat = 20 - Scarves: 3 scarves * 5/scarf = 15 - Bracelets: 5 bracelets * 2/bracelet = 10 Total cost for the first outfit = 20 + 15 + 10 = 45- Second Outfit: - Hats: 1 hat * 10/hat = 10 - Scarves: 4 scarves * 5/scarf = 20 - Bracelets: 3 bracelets * 2/bracelet = 6 Total cost for the second outfit = 10 + 20 + 6 = 36- Third Outfit: - Hats: 3 hats * 10/hat = 30 - Scarves: 2 scarves * 5/scarf = 10 - Bracelets: 4 bracelets * 2/bracelet = 8 Total cost for the third outfit = 30 + 10 + 8 = 48Step 2: Sum up the costs of all three outfits to find the total expenditure on accessories.Total cost = Cost of first outfit + Cost of second outfit + Cost of third outfitTotal cost = 45 + 36 + 48 = 129#The total amount the actress will spend on accessories for all three outfits is 129.
question:Imagine you are a tourist brochure writer tasked with creating an enticing description of a stunning island destination. The island is famous for its 7 beautiful beaches, each with its own unique charm. You want to include in your brochure that each beach has an average of 120 colorful umbrellas providing shade for tourists. Additionally, the island boasts 5 breathtaking hiking trails, each offering panoramic views of the ocean. If each hiking trail is 3 miles long, how many miles of hiking trails can you advertise in your brochure? Finally, if the island has 4 charming villages and you want to highlight that each village has 3 delightful cafes, how many cafes in total can you promote in your brochure? Calculate the total number of colorful umbrellas, the total miles of hiking trails, and the total number of cafes to make your brochure as enticing as possible!
answer:To solve this problem, we need to calculate three things: the total number of colorful umbrellas, the total miles of hiking trails, and the total number of cafes. Let's tackle each part step-by-step.1. Total Number of Colorful Umbrellas: Each of the 7 beaches has an average of 120 colorful umbrellas. To find the total number of umbrellas, we multiply the number of beaches by the average number of umbrellas per beach: [ text{Total umbrellas} = 7 text{ beaches} times 120 text{ umbrellas per beach} = 840 text{ umbrellas} ]2. Total Miles of Hiking Trails: The island has 5 hiking trails, each 3 miles long. To find the total miles of hiking trails, we multiply the number of trails by the length of each trail: [ text{Total miles of hiking trails} = 5 text{ trails} times 3 text{ miles per trail} = 15 text{ miles} ]3. Total Number of Cafes: There are 4 villages on the island, each with 3 cafes. To find the total number of cafes, we multiply the number of villages by the number of cafes per village: [ text{Total cafes} = 4 text{ villages} times 3 text{ cafes per village} = 12 text{ cafes} ]Now, we have calculated all the required values for the brochure.#Final Answer:- Total number of colorful umbrellas: 840- Total miles of hiking trails: 15- Total number of cafes: 12
question:Maria is a civic leader who appreciates the influence of housewives in her community. She decides to organize a local event to celebrate their contributions and involves 8 housewives in planning the event. Each housewife is responsible for inviting 5 other housewives to the event. Additionally, Maria plans to invite 10 local officials to show their support. During the event, each attendee will receive a gift bag that costs 3 each. Calculate the total number of attendees at the event and find out how much Maria will spend on the gift bags.
answer:To solve the problem, let's break it down into steps:1. Number of Housewives Invited by Each Initial Housewife: Each of the 8 housewives is responsible for inviting 5 other housewives. So, the total number of housewives invited by the initial 8 housewives is: [ 8 times 5 = 40 ]2. Total Number of Housewives: We must also include the initial 8 housewives who were involved in planning the event. Therefore, the total number of housewives attending the event is: [ 8 + 40 = 48 ]3. Local Officials: Maria plans to invite 10 local officials. So, the number of local officials attending is 10.4. Total Number of Attendees: To find the total number of attendees, we add the total number of housewives and the local officials: [ 48 + 10 = 58 ]5. Cost of Gift Bags: Each attendee receives a gift bag costing 3. Therefore, the total cost of the gift bags is: [ 58 times 3 = 174 ]Hence, the total number of attendees is 58, and the total amount Maria will spend on the gift bags is 174.#58 attendees and 174 spent on gift bags.
question:A rising artist, known by their pseudonym, is creating a new digital art collection that combines futuristic elements with traditional themes. They plan to release their artwork in three series, each with a different number of pieces. The first series will have 8 pieces, the second series will have twice as many pieces as the first, and the third series will have 5 pieces more than the second series. If the artist spends an average of 12 hours creating each piece, how many total hours will the artist spend creating the entire collection?
answer:To solve the problem, we first need to determine how many pieces are in each series and then calculate the total number of pieces in the entire collection. After that, we can find the total hours spent by using the average time per piece.Let's break it down step-by-step:1. Determine the number of pieces in each series: - The first series has 8 pieces. - The second series has twice as many pieces as the first series. Thus, it has ( 2 times 8 = 16 ) pieces. - The third series has 5 pieces more than the second series. Thus, it has ( 16 + 5 = 21 ) pieces.2. Calculate the total number of pieces: - Total pieces = Pieces in first series + Pieces in second series + Pieces in third series - Total pieces = ( 8 + 16 + 21 )3. Perform the addition: - ( 8 + 16 = 24 ) - ( 24 + 21 = 45 ) So, there are a total of 45 pieces in the entire collection.4. Calculate the total hours spent on the entire collection: - The artist spends an average of 12 hours per piece. - Total hours = Total pieces × Average hours per piece - Total hours = ( 45 times 12 )5. Perform the multiplication: - ( 45 times 12 = 540 )Therefore, the artist will spend a total of 540 hours creating the entire collection.# 540
question:Jamie is a loyal fan of the University of Portland Pilots men's basketball team. In one exciting season, Jamie attends 8 home games and 5 away games. Each home game ticket costs 15, and each away game ticket costs 20. After each game, Jamie buys a team scarf for 10. If Jamie wants to calculate the total amount spent on tickets and scarves for the games attended, how much did Jamie spend in total?
answer:Let's solve the problem step-by-step:1. Calculate the total cost of home game tickets: - Number of home games attended = 8 - Cost per home game ticket = 15 - Total cost for home game tickets = 8 games × 15/game = 1202. Calculate the total cost of away game tickets: - Number of away games attended = 5 - Cost per away game ticket = 20 - Total cost for away game tickets = 5 games × 20/game = 1003. Calculate the total number of scarves bought: - Total games attended = 8 home games + 5 away games = 13 games - Jamie buys a scarf after each game = 13 scarves4. Calculate the total cost of scarves: - Cost per scarf = 10 - Total cost for scarves = 13 scarves × 10/scarf = 1305. Calculate the total amount spent: - Total spent on tickets = 120 (home) + 100 (away) = 220 - Total spent on scarves = 130 - Total amount spent = 220 (tickets) + 130 (scarves) = 350Jamie spent a total of:# 350