A scientist studying earth's rotation determines that a specific location on earth's equator travels about 40,000 kilometers in
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Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime =>
Prime Factorization of 4 is:
2 x 2 =>
Prime Factorization of 7 is:
7 is prime =>
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28
Answer:
The equation would be .
Allen will Run for 2 hours.
Step-by-step explanation:
Given:
Total Distance traveled = 30 miles
Average rate of walking = 3 mi/hr
Average rate of running = 9 mi/hr
Time for walking = 4 hours
W need to find the time for running.
Solution:
Let Number of hrs required for running be 'x'.
Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running
But Distance is equal Rate multiplied by Time.
Framing in equation form we get;
Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.
Substituting the values we get;
Hence The equation would be
Solving above equation we get;
Hence Allen will Run for 2 hours.