An oil spill covers 4 square kilometers in 14 of an hour. At this rate, how many square kilometers will it cover in 2 hours?(1 point)
Responses
2 square kilometers
2 square kilometers
8 square kilometers
8 square kilometers
16 square kilometers
16 square kilometers
32 square kilometers
The oil spill covers 4 square kilometers in 1/4 of an hour.
Therefore, in 1 hour, it will cover 4 x 4 = 16 square kilometers.
In 2 hours, it will cover 16 x 2 = 32 square kilometers.
So the answer is 32 square kilometers.
To find out how many square kilometers the oil spill will cover in 2 hours, we can use the given information about the rate at which it spreads.
First, let's calculate how many square kilometers the oil spill covers in one hour. We are given that it covers 4 square kilometers in 1/4 of an hour (14 of an hour).
To calculate the coverage in one hour, we can multiply the coverage in 1/4 of an hour by 4.
4 square kilometers * 4 = 16 square kilometers
Therefore, the oil spill will cover 16 square kilometers in 1 hour.
Now, we can calculate the coverage in 2 hours. Since the coverage in 1 hour is 16 square kilometers, to find the coverage in 2 hours, we can multiply this amount by 2.
16 square kilometers * 2 = 32 square kilometers
Therefore, the oil spill will cover 32 square kilometers in 2 hours.
So, the correct answer is 32 square kilometers.
To find out how many square kilometers the oil spill will cover in 2 hours, we first need to determine the rate at which it spreads.
The given rate is 4 square kilometers in 14 of an hour.
To find the rate per hour, we can convert 14 of an hour to an hour by multiplying it by 60 (since there are 60 minutes in an hour):
14 * 60 = 840 minutes
Next, we can set up a proportion to find the rate per hour:
4 square kilometers / 840 minutes = x square kilometers / 60 minutes
To solve for x, we can cross-multiply and divide:
840x = 4 * 60
840x = 240
x = 240 / 840
x = 0.2857 square kilometers per minute
Now, we can find the total area it will cover in 2 hours by multiplying the rate per minute by the number of minutes in 2 hours (120 minutes):
0.2857 square kilometers/minute * 120 minutes = 34.28 square kilometers
Therefore, the oil spill will cover approximately 34.28 square kilometers in 2 hours.
A town’s population has grown by 600 people in the last 2 years. On average, how many people will the town grow by in 5 years?(1 point)
Responses
240 people
240 people
3,000 people
3,000 people
1,500 people
1,500 people
300 people
300 people
To find out the average number of people the town will grow by in 5 years, we can divide the total growth in 2 years by the number of years and then multiply by 5.
Given that the town's population grew by 600 people in the last 2 years:
600 people / 2 years = 300 people per year
To find the average growth over 5 years:
300 people per year * 5 years = 1,500 people
Therefore, the town will grow by an average of 1,500 people in 5 years. So, the correct answer is 1,500 people.
A scientist samples a deer population and finds 200 deer in an area of 10 square miles. On average, how many deer can the scientist expect to find in an area of 300 square miles?(1 point)
Responses
6,000 deer
6,000 deer
60,000 deer
60,000 deer
320 deer
320 deer
20 deer
To find out the average number of deer the scientist can expect to find in an area of 300 square miles, we can set up a proportion.
The scientist found 200 deer in 10 square miles. Let's define the unknown number of deer in the 300 square mile area as "x".
We can set up the proportion:
200 deer / 10 square miles = x deer / 300 square miles
To solve for x, we can cross-multiply and divide:
10x = 200 * 300
10x = 60,000
x = 60,000 / 10
x = 6,000
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles. So, the correct answer is 6,000 deer.
A baker bakes 3 batches of cookies and makes 42 cookies. How many cookies will be made if the baker bakes 2 batches?(1 point)
Responses
63 cookies
63 cookies
14 cookies
14 cookies
84 cookies
84 cookies
28 cookies
If the baker bakes 3 batches of cookies and makes 42 cookies, we can find out how many cookies will be made if the baker bakes 2 batches by setting up a proportion.
The baker made 42 cookies in 3 batches. Let's define the unknown number of cookies in 2 batches as "x".
We can set up the proportion:
42 cookies / 3 batches = x cookies / 2 batches
To solve for x, we can cross-multiply and divide:
3x = 42 * 2
3x = 84
x = 84 / 3
x = 28
Therefore, if the baker bakes 2 batches, they will make a total of 28 cookies. So, the correct answer is 28 cookies.
Question
A driver drove 90 miles and used 4 gallons of gasoline. What is the vehicle’s consumption rate in miles per gallon?(1 point)
Responses
20 miles per gallon
20 miles per gallon
22.5 gallons per mile
22.5 gallons per mile
22.5 miles per gallon
22.5 miles per gallon
490 miles per gallon
Start Fraction 4 over 90 End Fraction miles per gallon