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question:Alexandra is renting a two-story apartment. The living room, dining room, and kitchen area cover 700 sq ft. The master bedroom and attached bathroom take up 400 sq ft. Two smaller bedrooms share a bathroom and are 250 sq ft each. The laundry room is 100 sq ft. If Alexandra pays 2,500 per month in rent, how much is she spending per sq ft of the apartment?
answer:To find out the total area of the apartment we need to add the area of the living room, dining room, kitchen, master bedroom, master bathroom, two smaller bedrooms, their shared bathroom, and the laundry room.Thus, the total area of the apartment is 700 + 400 + 250 + 250 + 100 = 1100 + 250 + 250 + 100 = 1350 + 250 + 100 = 1600 + 100 = 1700 sq ft.To find the price Alexandra is paying per sq ft, we divide the total rent by the total area.So, Alexandra pays 2500 / 1700 per sq ft which amounts to approximately boxed{1.47} dollars per sq ft.
question:Lucas is preparing for a science exam. He needs to study for a total of 8 hours. Each day, he reviews notes about biology for 20 minutes, chemistry for 30 minutes, and physics for 40 minutes, with a 10-minute break in between each subject. How many days will it take for him to complete his studying?
answer:To find the total number of minutes Lucas studies each day, we need to sum the minutes he spends on each subject and add the minutes he spends on breaks.The total study time per day is 20 + 30 + 40 = 50 + 40 = 90 minutes.Additionally, Lucas takes two breaks of 10 minutes each, for a total of 20 minutes of break time per day.So the total time spent studying and on breaks per day is 90 + 20 = 110 minutes.Since there are 60 minutes in an hour, the total time per day in hours is 110 / 60 = 1.833 hours.Now we can divide the total hours Lucas needs to study, which is 8 hours, by the hours he studies per day to get the total days: 8 / 1.833 = 4.36 days.However, since we can't have a fraction of a day, and Lucas can't finish his studying in the middle of the day, we need to round up to the nearest whole number. So, it will take Lucas boxed{5} days to complete his studying.
question:A man is trying to maximize the amount of money he saves each month. In particular, he is trying to decide between two different apartments. The first apartment costs 800 per month in rent and will cost an additional 260 per month in utilities. The second apartment costs 900 per month and will cost an additional 200 per month in utilities. The first apartment is slightly further from the man's work, and the man would have to drive 31 miles per day to get to work. The second apartment is closer, and the man would only have to drive 21 miles to get to work. According to the IRS, each mile a person drives has an average cost of 58 cents. If the man must drive to work 20 days each month, what is the difference between the total monthly costs of these two apartments after factoring in utility and driving-related costs (to the nearest whole dollar)?
answer:The cost for the first apartment can be found by adding rent, utilities, and driving costs.The driving cost is given by 31 * 20 * 0.58 = 359.60 dollars per month.So the total cost for the first apartment is 359.60 + 800 + 260 = 1159.6 + 260 = 1419.6 dollars per month.The cost for the second apartment can also be found by adding rent, utilities, and driving costs.The driving cost is given by 21 * 20 * 0.58 = 420 * 0.58 = 243.6 dollars per month.So the total cost for the second apartment is 243.60 + 900 + 200 = 1143.6 + 200 = 1343.6 dollars per month.The difference between the total monthly costs of these two apartments is then given by 1419.60 - 1343.60 = 76 dollars per month.Thus, the man will save boxed{76} dollars per month by going with the second apartment.
question:Michael visited his doctor for a check-up, a vaccination, and a blood test. The doctor charges 50 for a check-up and 80 for a vaccination. Michael's total medical bill was 3.5 times the cost of a vaccination. How much did Michael pay for the blood test?
answer:Let's denote the cost of the blood test by x dollars.We know that the doctor charges 50 for a check-up and 80 for a vaccination.Michael's total medical bill is the sum of the cost of a check-up, a vaccination, and a blood test.So the total bill is 50 + 80 + x = 130 + x dollars.The problem also states that the total bill is 3.5 times the cost of a vaccination.The cost of a vaccination is 80.So 3.5 times this cost is 80 * 3.5 = 280 dollars.Thus the total bill is 280.Setting this equal to 130 + x, we have 280 = 130 + x.This implies x = 150 dollars.Thus, Michael paid boxed{150} dollars for the blood test.
question:Pat’s computer password is made up of several kinds of alphanumeric and symbol characters for security. He uses a string of eight random lowercase letters, a string half that length of alternating upper case letters and numbers, and one symbol on each end of the password. How many characters in all is Pat‘s computer password?
answer:The password consists of 8 random lowercase letters, 4 characters that are alternating upper case letters and numbers, and 2 symbols.We add these three components of the password together.8 lowercase letters + 4 alternating characters + 2 symbols = 14 characters.Thus, Pat's password is boxed{14} characters long.
question:A store transports fresh vegetables in crates and cartons using its delivery truck. One crate of vegetables weighs 4 kilograms and one carton 3 kilograms. How much will a load of 12 crates, and 16 cartons of vegetables weigh?
answer:To find the weight of the load, we need to calculate the weight of the crates and cartons separately and then add them up.The weight of 12 crates of vegetables is 12 * 4 = 48 kilograms.The weight of 16 cartons of vegetables is 16 * 3 = 48 kilograms.The weight of the entire load is the sum of the weight of the crates and cartons, which is 48 + 48 = 96 kilograms.Thus, the weight of the load is boxed{96} kilograms.