A sloth moves as fast as it can 60 inches up a tree branch in 20 seconds. What is the sloth’s maximum speed as a unit rate in inches per second?(1 point)
To find the sloth's maximum speed as a unit rate in inches per second, we divide the distance (60 inches) by the time (20 seconds).
Maximum speed = Distance / Time = 60 inches / 20 seconds = 3 inches/second
Therefore, the sloth's maximum speed as a unit rate is 3 inches per second.
A plant manager counted 4,800 car parts that were produced on an eight-hour shift. What is the unit rate in parts per hour?(1 point)
Responses
0.002 parts per hour
6,000 parts per hour
600 parts per hour
60 parts per hour
To find the unit rate in parts per hour, we divide the number of car parts produced (4,800 parts) by the number of hours worked (8 hours).
Unit rate = Number of car parts / Number of hours = 4,800 parts / 8 hours = 600 parts per hour
Therefore, the unit rate in parts per hour is 600 parts per hour.
Mario walked 3,600 steps in 24 hours yesterday. How many steps did he walk per hour?(1 point)
To find the number of steps Mario walked per hour, we divide the total number of steps (3,600 steps) by the number of hours (24 hours).
Number of steps per hour = Total number of steps / Number of hours = 3,600 steps / 24 hours = 150 steps per hour
Therefore, Mario walked 150 steps per hour.
The newest John Deere combine machine can harvest 180 acres of wheat in 6 hours. How many acres will be harvested in 10 hours?(1 point)
To find the number of acres that will be harvested in 10 hours, we can set up a proportion based on the given information:
180 acres / 6 hours = x acres / 10 hours
To solve for x, we can cross multiply:
180 acres * 10 hours = 6 hours * x acres
1,800 acres = 6x
Divide both sides of the equation by 6:
1,800 acres / 6 = x acres
x = 300 acres
Therefore, in 10 hours, the John Deere combine machine will harvest 300 acres of wheat.
The finch population in an area increased by 75 finches in 3 years. How many finches did the population grow by each year?(1 point)
To find the number of finches the population grew by each year, we can divide the total increase in finches (75 finches) by the number of years (3 years).
Number of finches grown per year = Total increase in finches / Number of years = 75 finches / 3 years = 25 finches per year
Therefore, the finch population grew by 25 finches each year.
Which measurement is used in the metric system?(1 point)
Responses
yard
mile
gallon
kilogram
The measurement used in the metric system is kilogram.
About how many pounds are in 56 kilograms? There are about 2.2 pounds in one kilogram.(1 point)
To find the approximate number of pounds in 56 kilograms, we multiply the number of kilograms (56 kilograms) by the conversion factor of 2.2 pounds per kilogram.
Number of pounds = Number of kilograms × Conversion factor = 56 kilograms × 2.2 pounds/kilogram = 123.2 pounds
Therefore, there are approximately 123.2 pounds in 56 kilograms.
How many feet are in 25 meters? There are about 3.28 feet in 1 meter. (1 point)
To convert meters to feet, we multiply the number of meters (25 meters) by the conversion factor of 3.28 feet per meter.
Number of feet = Number of meters × Conversion factor = 25 meters × 3.28 feet/meter = 82 feet (rounded to the nearest whole number)
Therefore, there are approximately 82 feet in 25 meters.
How many millimeters are in 100 meters?(1 point)
To convert meters to millimeters, we multiply the number of meters (100 meters) by the conversion factor of 1,000 millimeters per meter.
Number of millimeters = Number of meters × Conversion factor = 100 meters × 1,000 millimeters/meter = 100,000 millimeters
Therefore, there are 100,000 millimeters in 100 meters.
What is 15,000 meters in kilometers?
To convert meters to kilometers, we divide the number of meters (15,000 meters) by 1,000 (since there are 1,000 meters in 1 kilometer).
Number of kilometers = Number of meters / 1,000 = 15,000 meters / 1,000 = 15 kilometers
Therefore, 15,000 meters is equal to 15 kilometers.
A truck can drive 34 miles on 2 gallons of gas. How many gallons would it take the truck to be able to drive 425 miles?(1 point)
To find the number of gallons it would take for the truck to drive 425 miles, we can set up a proportion based on the given information:
34 miles / 2 gallons = 425 miles / x gallons
To solve for x, we can cross multiply:
34 miles * x gallons = 2 gallons * 425 miles
34x = 850
Divide both sides of the equation by 34:
x = 850 / 34 ≈ 25
Therefore, it would take the truck approximately 25 gallons of gas to drive 425 miles.
Jillian goes to the pet store to buy food for his dogs. He buys a 15-lb. bag of dog food for his dog Bingo, who will finish it in 10 days. He buys a 20-lb. bag of dog food for his dog Buddy, who will finish it in 16 days. Which dog will eat more dog food per day, Bingo or Buddy? How much food will that dog eat?(1 point)
To determine which dog will eat more dog food per day, we need to calculate the amount of food each dog eats per day.
For Bingo:
Bingo eats a 15-lb. bag of dog food in 10 days. Therefore, he eats 15 lbs / 10 days = 1.5 lbs of dog food per day.
For Buddy:
Buddy eats a 20-lb. bag of dog food in 16 days. Therefore, he eats 20 lbs / 16 days = 1.25 lbs of dog food per day.
Comparing the two amounts, we find that Bingo eats 1.5 lbs of dog food per day, while Buddy eats 1.25 lbs of dog food per day.
Therefore, Bingo will eat more dog food per day (1.5 lbs) compared to Buddy (1.25 lbs).
Jillian goes to the pet store to buy food for his dogs. He buys a 15-lb. bag of dog food for his dog Bingo, who will finish it in 10 days. He buys a 20-lb. bag of dog food for his dog Buddy, who will finish it in 16 days. Which dog will eat more dog food per day, Bingo or Buddy? How much food will that dog eat?(1 point)
Responses
Buddy will eat more dog food at 1.5 lb. per day.
Buddy will eat more dog food at 1.25 lb. per day.
Bingo will eat more dog food at 1.5 lb. per day.
Bingo will eat more dog food at 1.25 lb. per day.
Apologies for the confusion in my previous response. Let's recalculate the amounts correctly.
For Bingo:
Bingo eats a 15-lb. bag of dog food in 10 days. Therefore, he eats 15 lbs / 10 days = 1.5 lbs of dog food per day.
For Buddy:
Buddy eats a 20-lb. bag of dog food in 16 days. Therefore, he eats 20 lbs / 16 days = 1.25 lbs of dog food per day.
Comparing the two amounts again, we find that Bingo eats 1.5 lbs of dog food per day, while Buddy eats 1.25 lbs of dog food per day.
Therefore, Bingo will eat more dog food per day (1.5 lbs) compared to Buddy (1.25 lbs).
Millie wants to take swimming lessons. She can purchase two different swim lesson packages. Package A is 20 lessons for $230. Package B is 15 lessons for $180. If Millie wants the better buy, which package should she choose? Show your work and explain why your choice is the better buy.(4 points)
To determine which package is the better buy, we need to compare the cost per lesson for each package.
For Package A: Millie gets 20 lessons for $230.
Cost per lesson = Total cost / Number of lessons = $230 / 20 = $11.50 per lesson.
For Package B: Millie gets 15 lessons for $180.
Cost per lesson = Total cost / Number of lessons = $180 / 15 = $12 per lesson.
Comparing the two costs per lesson, we find that Package A has a lower cost per lesson ($11.50) compared to Package B ($12).
Therefore, Millie should choose Package A because it offers a better buy with a lower cost per lesson.