In 10 seconds, the surface of the earth at the equator has moved 4,600 meters. How far has the surface moved in 150 seconds?(1 point)
Responses
3.07 meters
3.07 meters
306.67 meters
306.67 meters
69,000 meters
69,000 meters
6,900,000 meters
The correct answer is 69,000 meters.
Grace ran a 26-mile marathon in 4 hours. How far did Grace run in 1.5 hours?(1 point)
Responses
156 miles
156 miles
4.33 miles
4.33 miles
9.75 miles
9.75 miles
69.33 miles
The correct answer is 9.75 miles.
In 5 hours the Acela Express, the fastest train in North America, traveled 775 miles. How far did it travel in 8 hours?(1 point)
Responses
1,240 miles
1,240 miles
484.375 miles
484.375 miles
31,000 miles
31,000 miles
19.375 miles
The correct answer is 1,240 miles.
To find the distance the surface of the earth has moved in 150 seconds, we can use the given information that in 10 seconds it moves 4,600 meters.
First, we calculate how many 10-second intervals are in 150 seconds:
150 seconds ÷ 10 seconds = 15 10-second intervals.
Next, we multiply the distance moved in 10 seconds by the number of intervals:
4,600 meters × 15 intervals = 69,000 meters.
Therefore, the surface of the earth has moved 69,000 meters in 150 seconds.
To find out how far the surface of the Earth at the equator has moved in 150 seconds, we can use the information given about how much it moves in 10 seconds.
We are told that in 10 seconds, the surface of the Earth at the equator moves 4,600 meters.
To find out how far it moves in 150 seconds, we need to calculate the distance using proportionality.
We can set up a proportion:
10 seconds corresponds to 4,600 meters
150 seconds corresponds to x meters (what we're trying to find)
The proportion can be written as:
10/4,600 = 150/x
We can solve this proportion by cross-multiplying:
10 * x = 4,600 * 150
To find the value of x, we divide both sides by 10:
x = (4,600 * 150)/10
Simplifying this expression gives us:
x = 69,000 meters
So, the surface of the Earth at the equator has moved 69,000 meters in 150 seconds.
Therefore, the correct answer is 69,000 meters.