Answer :
Sure! Let's go through each question one by one and find the solutions:
### Question 4
Problem: Your instructor makes 5 cents per minute. How much does he make in dollars if he works for 40 hours?
Steps:
1. First, calculate the total number of minutes in 40 hours.
- [tex]\( 40 \, \text{hours} \times 60 \, \text{minutes per hour} = 2400 \, \text{minutes} \)[/tex]
2. Calculate the total earnings in cents.
- [tex]\( 2400 \, \text{minutes} \times 5 \, \text{cents per minute} = 12000 \, \text{cents} \)[/tex]
3. Convert the earnings from cents to dollars.
- [tex]\( \frac{12000 \, \text{cents}}{100 \, \text{cents per dollar}} = 120.00 \, \text{dollars} \)[/tex]
### Question 5
Problem: This past April in Charleston, IL, it rained 0.005 inches per minute. If it rained for 5 hours, how many inches of water fell?
Steps:
1. Calculate the total number of minutes in 5 hours.
- [tex]\( 5 \, \text{hours} \times 60 \, \text{minutes per hour} = 300 \, \text{minutes} \)[/tex]
2. Calculate the total rainfall in inches.
- [tex]\( 300 \, \text{minutes} \times 0.005 \, \text{inches per minute} = 1.5 \, \text{inches} \)[/tex]
### Question 6
Problem: Grace walked 20 inches in 1 second. What is her rate of speed in kilometers per day?
Steps:
1. Convert inches to meters.
- [tex]\( 20 \, \text{inches} \times 0.0254 \, \text{meters per inch} = 0.508 \, \text{meters per second} \)[/tex]
2. Convert meters to kilometers.
- [tex]\( 0.508 \, \text{meters per second} \times 0.001 \, \text{kilometers per meter} = 0.000508 \, \text{kilometers per second} \)[/tex]
3. Calculate speed in kilometers per day.
- [tex]\( 0.000508 \, \text{kilometers per second} \times 86400 \, \text{seconds per day} = 43.8912 \, \text{kilometers per day} \)[/tex]
### Question 7
Problem: A snail moves 0.05 millimeters in a second. What is its rate of speed in inches per hour?
Steps:
1. Convert millimeters to inches.
- [tex]\( 0.05 \, \text{millimeters} \times 0.0393701 \, \text{inches per millimeter} = 0.001968505 \, \text{inches per second} \)[/tex]
2. Calculate speed in inches per hour.
- [tex]\( 0.001968505 \, \text{inches per second} \times 3600 \, \text{seconds per hour} = 7.086618 \, \text{inches per hour} \)[/tex]
### Question 8
Problem: A rock can roll downhill 1 inch in 1 minute. How far will it roll in meters if it rolls continuously for 100 hours?
Steps:
1. Calculate the total number of minutes in 100 hours.
- [tex]\( 100 \, \text{hours} \times 60 \, \text{minutes per hour} = 6000 \, \text{minutes} \)[/tex]
2. Calculate total roll distance in inches.
- [tex]\( 6000 \, \text{minutes} \times 1 \, \text{inch per minute} = 6000 \, \text{inches} \)[/tex]
3. Convert inches to meters.
- [tex]\( 6000 \, \text{inches} \times 0.0254 \, \text{meters per inch} = 152.4 \, \text{meters} \)[/tex]
### Question 9
Problem: You have a house that measures 96 feet by 137 feet. How many square meters is that?
Steps:
1. Calculate the area in square feet.
- [tex]\( 96 \, \text{feet} \times 137 \, \text{feet} = 13152 \, \text{square feet} \)[/tex]
2. Convert square feet to square meters. (1 square foot = 0.092903 square meters)
- [tex]\( 13152 \, \text{square feet} \times 0.092903 \, \text{square meters per square foot} = 1221.86078208 \, \text{square meters} \)[/tex]
These calculations give us the answers to the questions as requested!
### Question 4
Problem: Your instructor makes 5 cents per minute. How much does he make in dollars if he works for 40 hours?
Steps:
1. First, calculate the total number of minutes in 40 hours.
- [tex]\( 40 \, \text{hours} \times 60 \, \text{minutes per hour} = 2400 \, \text{minutes} \)[/tex]
2. Calculate the total earnings in cents.
- [tex]\( 2400 \, \text{minutes} \times 5 \, \text{cents per minute} = 12000 \, \text{cents} \)[/tex]
3. Convert the earnings from cents to dollars.
- [tex]\( \frac{12000 \, \text{cents}}{100 \, \text{cents per dollar}} = 120.00 \, \text{dollars} \)[/tex]
### Question 5
Problem: This past April in Charleston, IL, it rained 0.005 inches per minute. If it rained for 5 hours, how many inches of water fell?
Steps:
1. Calculate the total number of minutes in 5 hours.
- [tex]\( 5 \, \text{hours} \times 60 \, \text{minutes per hour} = 300 \, \text{minutes} \)[/tex]
2. Calculate the total rainfall in inches.
- [tex]\( 300 \, \text{minutes} \times 0.005 \, \text{inches per minute} = 1.5 \, \text{inches} \)[/tex]
### Question 6
Problem: Grace walked 20 inches in 1 second. What is her rate of speed in kilometers per day?
Steps:
1. Convert inches to meters.
- [tex]\( 20 \, \text{inches} \times 0.0254 \, \text{meters per inch} = 0.508 \, \text{meters per second} \)[/tex]
2. Convert meters to kilometers.
- [tex]\( 0.508 \, \text{meters per second} \times 0.001 \, \text{kilometers per meter} = 0.000508 \, \text{kilometers per second} \)[/tex]
3. Calculate speed in kilometers per day.
- [tex]\( 0.000508 \, \text{kilometers per second} \times 86400 \, \text{seconds per day} = 43.8912 \, \text{kilometers per day} \)[/tex]
### Question 7
Problem: A snail moves 0.05 millimeters in a second. What is its rate of speed in inches per hour?
Steps:
1. Convert millimeters to inches.
- [tex]\( 0.05 \, \text{millimeters} \times 0.0393701 \, \text{inches per millimeter} = 0.001968505 \, \text{inches per second} \)[/tex]
2. Calculate speed in inches per hour.
- [tex]\( 0.001968505 \, \text{inches per second} \times 3600 \, \text{seconds per hour} = 7.086618 \, \text{inches per hour} \)[/tex]
### Question 8
Problem: A rock can roll downhill 1 inch in 1 minute. How far will it roll in meters if it rolls continuously for 100 hours?
Steps:
1. Calculate the total number of minutes in 100 hours.
- [tex]\( 100 \, \text{hours} \times 60 \, \text{minutes per hour} = 6000 \, \text{minutes} \)[/tex]
2. Calculate total roll distance in inches.
- [tex]\( 6000 \, \text{minutes} \times 1 \, \text{inch per minute} = 6000 \, \text{inches} \)[/tex]
3. Convert inches to meters.
- [tex]\( 6000 \, \text{inches} \times 0.0254 \, \text{meters per inch} = 152.4 \, \text{meters} \)[/tex]
### Question 9
Problem: You have a house that measures 96 feet by 137 feet. How many square meters is that?
Steps:
1. Calculate the area in square feet.
- [tex]\( 96 \, \text{feet} \times 137 \, \text{feet} = 13152 \, \text{square feet} \)[/tex]
2. Convert square feet to square meters. (1 square foot = 0.092903 square meters)
- [tex]\( 13152 \, \text{square feet} \times 0.092903 \, \text{square meters per square foot} = 1221.86078208 \, \text{square meters} \)[/tex]
These calculations give us the answers to the questions as requested!
