Answer: The greatest common factor is 2.
Step-by-step explanation: We are given to find the greatest common factor of the following expressions:
<u>Greatest Common Factor:</u> The GCF of two or more numbers (expressions) is the greatest factor that divides all the numbers or expressions.
We have
Therefore, the greatest common factor will be
Thus, the required greatest common factor is 2.
Let us say distance between Eugenia's home and school is x miles.
Speed of Eugenia when she walked from home to school = 3 mph
Speed of Eugenia when she walked from school to home = 7 mph
Total time taken = 45 minutes or 0.75 hours
We know that the speed distance formula is given by:
Time taken by Eugenia when she walked from home to school = x/3 hours
Time taken by Eugenia when she walked from school to home = x/7 hours
Total time taken = x/3+x/7
So forming an equation we have,
Taking lcd of 7 and 3 as 21,
10x=15.75
Dividing both sides by 10 , we have
x= 1.575
Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.