Indira and jean begin their hike at 10 a. m one morning. they plan to hike from the 2 2/5 mile marker to the 8 1/10 mile markers along the trail. they plan to hike at an average speed of 3 miles per hour. will they reach the 8 1/10 mile marker by noon? explain your reasoning

The initial distance is 2 2/5 mile or 2.4 miles and the final distance is 8 1/10 mile or 8.1 mile. Therefore the total distance to hike is:

distance = 8.1 – 2.4 = 5.7 miles

Since they will trek at 3 miles per hour, the time needed is:

time = 5.7 mile / 3 miles per hour

time = 1.9 hours

Since they started at 10 am and there is 2 hours allowance from noon, therefore they will reach the marker by noon with 0.10 hour left.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet