Question

What is the total distance traveled if someone starts at a trailhead, moves 0.4 miles north, and then proceeds east for another 9 2/10 miles?

A) 9.6 miles
B) 9.8 miles
C) 9.9 miles
D) 9.1 miles

Answer 1

To find the total distance traveled, add the distances traveled in each direction: 0.4 miles north + 9 2/10 miles east. Convert 9 2/10 to a fraction, find a common denominator, add the fractions, and simplify to get the total distance of 9.6 miles.

Step-by-step explanation:

To find the total distance traveled, we need to add up the distances traveled in each direction. The person starts at the trailhead, moves 0.4 miles north, and then proceeds 9 2/10 miles east.

The total distance traveled is obtained by adding these two distances:

0.4 miles + 9 2/10 miles

First, convert the mixed number 9 2/10 to an improper fraction:

9 2/10 = 92/10

Now, we can add the distances:

0.4 miles + 92/10 miles

To add the distances, we need a common denominator, which is 10. Convert 0.4 miles to a fraction with denominator 10:

0.4 miles = 4/10 miles

Now, we can add the fractions:

4/10 miles + 92/10 miles = (4 + 92)/10 miles = 96/10 miles

Finally, simplify the fraction:

96/10 miles = 9.6 miles

Therefore, the total distance traveled is 9.6 miles.