answer:To solve this problem, let's break it down step-by-step:1. Determine the wind resistance of the second model: - The first model has a wind resistance of 150 units per hour. - The second model reduces this by 30 units. - Therefore, the wind resistance of the second model is: [ 150 - 30 = 120 text{ units per hour} ]2. Calculate the additional reduction in wind resistance: - The engineer wants to improve the second model by reducing wind resistance by an additional 15%. - First, we need to calculate 15% of the second model's wind resistance: [ 0.15 times 120 = 18 text{ units per hour} ]3. Determine the final optimized wind resistance: - Subtract the additional reduction from the second model's wind resistance: [ 120 - 18 = 102 text{ units per hour} ]Thus, the final optimized model will experience a wind resistance of 102 units per hour.# 102

answer:To solve this problem, we need to determine the rate at which John loses weight per week and then use this rate to predict how much weight he will lose after 18 weeks.Step 1: Calculate the total number of hours John exercises per week.- Initially, John exercises for 5 hours per week.- Watching 3 WWE matches motivates him to add 2 extra hours of exercise per week.- Therefore, the total exercise hours per week = 5 hours + 2 hours = 7 hours.Step 2: Determine the rate of weight loss over the initial 6 weeks.- John lost 12 pounds over 6 weeks.- To find the rate of weight loss per week, divide the total weight loss by the number of weeks: [ text{Weight loss per week} = frac{12 text{ pounds}}{6 text{ weeks}} = 2 text{ pounds per week} ]Step 3: Calculate the total weight loss after 18 weeks.- Since John loses 2 pounds per week, after 18 weeks, the total weight loss is: [ text{Total weight loss after 18 weeks} = 18 text{ weeks} times 2 text{ pounds per week} = 36 text{ pounds} ]# 36

answer:To solve this problem, we need to calculate the total number of hours required to complete the project and then determine how many days Tom will need to work based on his daily working hours.1. Calculate the Total Hours Required: - Chairs: Tom needs to make 4 chairs, and each chair requires 3 hours to build. [ text{Total hours for chairs} = 4 text{ chairs} times 3 text{ hours/chair} = 12 text{ hours} ] - Table: Tom needs to make 1 table, and it requires 5 hours to build. [ text{Total hours for table} = 1 text{ table} times 5 text{ hours/table} = 5 text{ hours} ] - Overall Total Hours: [ text{Total hours required} = text{Total hours for chairs} + text{Total hours for table} = 12 text{ hours} + 5 text{ hours} = 17 text{ hours} ]2. Calculate Daily Working Hours: Tom works a total of 5 hours each day (2 hours in the morning and 3 hours in the afternoon).3. Determine the Number of Days Required: To find out how many days Tom will need to complete the project, divide the total hours required by the number of hours he works each day. [ text{Number of days required} = frac{17 text{ hours}}{5 text{ hours/day}} ] - Divide: (17 div 5 = 3.4) Since Tom cannot work a fractional part of a day, he will need to round up to the next whole number of days. Therefore, he will need: [ lceil 3.4 rceil = 4 text{ days} ]#4

answer:To solve the problem, we need to determine the total cost of Alex attending the futsal sessions for a month, provided that Alex attends every session.Step 1: Determine the number of sessions per week.- The futsal club trains twice a week.Step 2: Calculate the total number of sessions in a month.- There are 4 weeks in a month.- Therefore, the total number of sessions Alex will attend is: ( 2 text{ sessions/week} times 4 text{ weeks} = 8 text{ sessions} ).Step 3: Determine the cost per session.- Each session costs 150,000 Iranian Rials.Step 4: Calculate the total cost for all the sessions in a month.- Multiply the number of sessions by the cost per session: ( 8 text{ sessions} times 150,000 text{ Rials/session} = 1,200,000 text{ Rials} ).Thus, the total amount Alex will spend on the futsal sessions in a month is 1,200,000 Iranian Rials.# 1,200,000

answer:To solve this problem, follow these steps:1. Determine the total number of baskets picked: Maria picked 28 baskets and Jorge picked 35 baskets. [ text{Total baskets} = 28 + 35 = 63 ]2. Determine the total number of people sharing the baskets: The apples are shared among Maria, Jorge, and 3 other friends. [ text{Total people} = 2 + 3 = 5 ]3. Calculate the number of baskets each person will receive: To find out how many baskets each person will receive, divide the total number of baskets by the total number of people. [ text{Baskets per person} = frac{63}{5} = 12.6 ]Each person will receive 12.6 baskets of apples.# 12.6

answer:To determine the new speed and battery life of Alex's drone after implementing both upgrades, we will calculate each improvement separately and then apply them to the current specifications.Step-by-step Solution:1. Calculate the new speed: - The current speed of the drone is 50 meters per second. - The new propeller system increases the speed by 20%. [ text{Increase in speed} = 50 times frac{20}{100} = 50 times 0.2 = 10 text{ meters per second} ] - Therefore, the new speed of the drone will be: [ text{New speed} = 50 + 10 = 60 text{ meters per second} ]2. Calculate the new battery life: - The current battery life is 30 minutes. - The lightweight battery extends the flying time by 15%. [ text{Increase in battery life} = 30 times frac{15}{100} = 30 times 0.15 = 4.5 text{ minutes} ] - Therefore, the new battery life will be: [ text{New battery life} = 30 + 4.5 = 34.5 text{ minutes} ]Final Answer:The new speed of the drone will be 60 meters per second and the new battery life will be 34.5 minutes.# 60 meters per second, 34.5 minutes