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question：Dr. Alex, an AI researcher, is working on an exciting new project that involves using machine learning to enhance cryptographic techniques. One day, Dr. Alex creates a simple encryption algorithm to test on a set of data. The algorithm processes a message by using a series of mathematical steps. Here's how it works:1. Start with a number that represents the message, which is 120.2. Multiply this number by 3.3. Add 45 to the result.4. Divide the new result by 9.5. Subtract 5 from the final result.What is the final number obtained through Dr. Alex's encryption algorithm?
answer：First, I'll start with the initial number, which is 120.Next, I'll multiply this number by 3 to get the first intermediate result.Then, I'll add 45 to the result from the previous step.After that, I'll divide the new result by 9 to obtain another intermediate value.Finally, I'll subtract 5 from the last intermediate result to arrive at the final encrypted number.
question：An online retailer noticed a 20% increase in their monthly sales due to the decrease in physical store visits. Before the increase, their monthly sales were 50,000. After the increase, they decided to invest 10% of their new monthly sales into advertising. How much money does the online retailer invest in advertising each month after the increase in sales?
answer：First, I need to determine the new monthly sales after a 20% increase from the original 50,000.To calculate the increase, I'll multiply the original sales by 20%: 50,000 * 0.20 = 10,000.Adding this increase to the original sales gives the new monthly sales: 50,000 + 10,000 = 60,000.Next, the retailer invests 10% of the new monthly sales into advertising. I'll calculate 10% of 60,000: 60,000 * 0.10 = 6,000.Therefore, the online retailer invests 6,000 in advertising each month after the increase in sales.
question：Maria is an asylum seeker from Central America who is determined to provide a better life for her family. Every week, she volunteers at a local community center, where she helps pack food parcels for other families in need. On a particular week, Maria and her team managed to pack 45 parcels each day for 5 days. Each parcel contains 3 cans of beans, 2 bags of rice, and 4 bottles of water. If each can of beans costs 1, each bag of rice costs 2, and each bottle of water costs 0.50, what is the total cost of the items in all the parcels packed by Maria and her team during that week?
answer：First, I need to determine the total number of parcels packed by Maria and her team during the week. They packed 45 parcels each day for 5 days, so the total number of parcels is 45 multiplied by 5, which equals 225 parcels.Next, I'll calculate the cost of each type of item in one parcel. Each parcel contains 3 cans of beans, and each can costs 1, so the cost for beans per parcel is 3 times 1, which is 3. Each parcel also includes 2 bags of rice, with each bag costing 2, so the cost for rice per parcel is 2 times 2, totaling 4. Additionally, each parcel has 4 bottles of water, and each bottle costs 0.50, so the cost for water per parcel is 4 times 0.50, which is 2.Adding these together, the total cost per parcel is 3 for beans plus 4 for rice plus 2 for water, totaling 9 per parcel.Finally, to find the total cost for all 225 parcels, I'll multiply the cost per parcel (9) by the total number of parcels (225). This gives a total cost of 2,025.
question：Sarah is a knowledgeable realtor specializing in vacation properties. She is currently comparing two fantastic vacation locations for her clients. The first location, Beachside Paradise, has properties that cost an average of 200,000 each. The second location, Mountain Retreat, has properties that cost an average of 150,000 each. Sarah has three clients interested in Beachside Paradise and four clients interested in Mountain Retreat. If each of her clients buys one property in their preferred location, what will be the total sales amount for Sarah from these transactions?
answer：First, I need to determine the total sales for Beachside Paradise by multiplying the number of clients interested in this location by the average property cost there. There are 3 clients, and each property costs 200,000.Next, I'll calculate the total sales for Mountain Retreat by multiplying the number of clients interested in this location by the average property cost there. There are 4 clients, and each property costs 150,000.Finally, I'll add the total sales from both locations to find the overall total sales amount for Sarah.
question：A professional historical reenactor specializing in the Warring States period of Japan is preparing for an event showcasing a famous battle. He needs to set up 5 different camps, each representing a clan that participated in the battle. Each camp requires 8 traditional tents, and each tent will house 3 reenactors. However, due to space constraints, only 65 reenactors can participate in total. How many tents will be left empty after accommodating all the reenactors?
answer：First, I need to determine the total number of tents required for all five camps. Each camp has 8 tents, so multiplying 5 camps by 8 tents per camp gives a total of 40 tents.Next, I'll calculate the total number of reenactors that can be accommodated by these tents. Each tent houses 3 reenactors, so multiplying 40 tents by 3 reenactors per tent results in 120 reenactors.However, there's a space constraint limiting the number of reenactors to 65. To find out how many tents are actually needed to accommodate all 65 reenactors, I'll divide 65 by 3, which gives approximately 21.67 tents. Since we can't have a fraction of a tent, we'll need 22 tents to fit all 65 reenactors.Finally, to find out how many tents will be left empty, I'll subtract the number of tents used (22) from the total number of tents available (40). This results in 18 tents being left empty.
question：A property management company manages 5 apartment buildings, each with 20 apartments. The company wants to gather data to optimize rental pricing. They decide to conduct a survey for each apartment to determine the average rent tenants are willing to pay. The survey reveals that tenants in Building A are willing to pay an average of 1,200 per month, in Building B 1,150, in Building C 1,180, in Building D 1,220, and in Building E 1,210. What is the total potential monthly rental income if the management sets the rent at the average amount tenants are willing to pay in each building?
answer：First, I need to determine the total potential monthly rental income by setting the rent at the average amount tenants are willing to pay in each building.There are 5 apartment buildings, each with 20 apartments.Building A has an average rent of 1,200 per month. So, the total income for Building A is 20 apartments multiplied by 1,200, which equals 24,000.Building B has an average rent of 1,150. Multiplying 20 by 1,150 gives a total income of 23,000.For Building C, the average rent is 1,180. The total income is 20 times 1,180, resulting in 23,600.Building D has an average rent of 1,220. The total income for this building is 20 multiplied by 1,220, which equals 24,400.Lastly, Building E has an average rent of 1,210. The total income for Building E is 20 times 1,210, totaling 24,200.To find the overall total potential monthly rental income, I will add up the total incomes from all five buildings: 24,000 + 23,000 + 23,600 + 24,400 + 24,200, which equals 119,200.