answer:To solve this problem, we need to determine the total revenue Sarah will make from selling all the bee suits and hive tools at a 20% profit. Let's break down the problem step-by-step:1. Calculate the Cost of Bee Suits: - Sarah ordered 25 bee suits, each costing 45. - Total cost for bee suits = ( 25 times 45 = 1125 ) dollars.2. Calculate the Cost of Hive Tools: - Sarah ordered 60 hive tools, each costing 15. - Total cost for hive tools = ( 60 times 15 = 900 ) dollars.3. Calculate the Total Cost: - Total cost for both bee suits and hive tools = ( 1125 + 900 = 2025 ) dollars.4. Calculate the Total Revenue with 20% Profit: - Sarah wants to sell all items at a 20% profit. - The profit percentage is 20%, so the total revenue will be 120% of the total cost. - Total revenue = Total cost (times) (1 + Profit Percentage) = ( 2025 times 1.20 ).5. Calculate the Total Revenue: - Total revenue = ( 2025 times 1.20 = 2430 ) dollars.Sarah will make a total revenue of 2430 from selling all the bee suits and hive tools at a 20% profit.# 2430

answer:To determine how many days Alex needs to visit the library to upload all 4 videos, we follow these steps:1. Calculate the total upload time needed for all videos: Each video takes 45 minutes to upload. Since Alex needs to upload 4 videos, the total upload time required is: [ text{Total upload time} = 4 text{ videos} times 45 text{ minutes/video} = 180 text{ minutes} ]2. Determine the available upload time per day: Alex has 2 hours of internet access each day at the library. Since 1 hour equals 60 minutes, Alex has: [ text{Available time per day} = 2 text{ hours} times 60 text{ minutes/hour} = 120 text{ minutes/day} ]3. Calculate the minimum number of days needed: To find out how many days are needed, divide the total upload time by the available time per day: [ text{Days needed} = frac{text{Total upload time}}{text{Available time per day}} = frac{180 text{ minutes}}{120 text{ minutes/day}} = 1.5 text{ days} ] Since Alex cannot visit the library for a fraction of a day, they must round up to the nearest whole number. Therefore, Alex needs: [ text{Days needed} = lceil 1.5 rceil = 2 text{ days} ]Thus, Alex needs to visit the library for 2 days to upload all 4 videos.# 2

answer:To solve this problem, we need to determine how many complete necklaces the jewelry designer can create given the constraints of her gemstone collection. Let's break it down step by step:1. Determine the requirement for each type of gemstone per necklace: - Each necklace requires 3 obsidian. - Each necklace requires 2 peridot. - Each necklace requires 4 lava stones.2. Determine the total number of each type of gemstone available: - The designer has 60 obsidian. - The designer has 40 peridot. - The designer has 20 lava stones.3. Calculate the maximum number of necklaces possible with each type of gemstone: - For obsidian: Since each necklace requires 3 obsidian, the maximum number of necklaces she can make with the obsidian available is: [ frac{60 text{ obsidian}}{3 text{ obsidian per necklace}} = 20 text{ necklaces} ] - For peridot: Since each necklace requires 2 peridot, the maximum number of necklaces she can make with the peridot available is: [ frac{40 text{ peridot}}{2 text{ peridot per necklace}} = 20 text{ necklaces} ] - For lava stones: Since each necklace requires 4 lava stones, the maximum number of necklaces she can make with the lava stones available is: [ frac{20 text{ lava stones}}{4 text{ lava stones per necklace}} = 5 text{ necklaces} ]4. Identify the limiting factor: The limiting factor is the gemstone type that allows for the fewest complete necklaces. In this case, it is the lava stones, which allow for only 5 complete necklaces.Therefore, the jewelry designer can create a maximum of 5 complete necklaces with the gemstones available.# 5

answer:To find the average credibility score of the articles Nurse Alex reviewed, we need to follow these steps:1. Determine the total number of articles read: Nurse Alex reads 5 articles every hour for 3 hours. Therefore, the total number of articles read is: [ 5 , text{articles/hour} times 3 , text{hours} = 15 , text{articles} ]2. List the credibility scores given: The credibility scores for the 15 articles are: 7, 5, 8, 6, 9, 4, 7, 6, 8, 5, 6, 8, 7, 5, 9.3. Calculate the sum of the credibility scores: Add all the scores together: [ 7 + 5 + 8 + 6 + 9 + 4 + 7 + 6 + 8 + 5 + 6 + 8 + 7 + 5 + 9 ] Breaking this down, we can group and sum: [ (7 + 5 + 8 + 6 + 9) + (4 + 7 + 6 + 8 + 5) + (6 + 8 + 7 + 5 + 9) ] Calculate each group: - First group: (7 + 5 + 8 + 6 + 9 = 35) - Second group: (4 + 7 + 6 + 8 + 5 = 30) - Third group: (6 + 8 + 7 + 5 + 9 = 35) Now, add the sums of the groups: [ 35 + 30 + 35 = 100 ]4. Calculate the average score: Divide the total sum of the scores by the number of articles: [ frac{100}{15} ] Calculate the division: [ frac{100}{15} = 6.6667 ]5. Round the average to a reasonable number of decimal places: In this context, it might be reasonable to round to two decimal places: [ 6.67 ]Thus, the average credibility score of the articles Nurse Alex reviewed is:# 6.67

answer:To solve this problem, we will first determine the lengths of each cave and then calculate the length of Echo Cave.1. Identify Known Values: - Total distance for the expedition: 12 kilometers. - Length of Glowworm Cave: 5 kilometers. - Crystal Cave is 2 kilometers shorter than Glowworm Cave.2. Calculate the Length of Crystal Cave: - Since Crystal Cave is 2 kilometers shorter than Glowworm Cave: [ text{Length of Crystal Cave} = 5 text{ kilometers} - 2 text{ kilometers} = 3 text{ kilometers} ]3. Set up the Equation for Total Distance: - Total distance = Length of Glowworm Cave + Length of Crystal Cave + Length of Echo Cave - Substituting the known lengths: [ 12 text{ kilometers} = 5 text{ kilometers} + 3 text{ kilometers} + text{Length of Echo Cave} ]4. Solve for the Length of Echo Cave: - First, add the lengths of Glowworm Cave and Crystal Cave: [ 5 text{ kilometers} + 3 text{ kilometers} = 8 text{ kilometers} ] - Substitute back into the total distance equation: [ 12 text{ kilometers} = 8 text{ kilometers} + text{Length of Echo Cave} ] - Subtract 8 kilometers from both sides to find the length of Echo Cave: [ text{Length of Echo Cave} = 12 text{ kilometers} - 8 text{ kilometers} = 4 text{ kilometers} ]Thus, the length of Echo Cave is 4 kilometers.# 4

answer:To solve this problem, we need to determine how many potential clients out of the 30 Alex reaches out to are interested in tax consultation services.Step 1: Calculate the number of clients interested in the lawyer's services.- We know that 40% of the potential clients are interested in the lawyer's services.- Calculate 40% of 30: [ 0.40 times 30 = 12 ]So, 12 potential clients are interested in the lawyer's services.Step 2: Determine the number of clients interested in tax consultation services.- The rest of the clients are interested in tax consultation services.- Subtract the number of clients interested in the lawyer's services from the total number of clients:[ 30 - 12 = 18 ]Therefore, 18 potential clients are interested in the tax consultation services.# 18