The blue lake trail is 11 3/8 miles long gemma has hiked 2 1/2 miles each hour for three hours how far is she from the end of the trail

Gemma is 3 7/8 miles from the end of trail.

Step-by-step explanation:

Given that,

length of blue lake trail = 11 3/8miles

time Gemma has hiked = 3 hours

distance Gemma have travelled in a hour = 2 1/2

Total distance Gemma have travelled = 2 1/2 * 3

                                                               = (2*2+1)/2 *3

                                                               = (5/2) * 3

                                                               = 15/2

                                                               = 7 1/2miles

= 91/8 - 15/2

= 91/8 - 15*4/2*4

= 91/8 - 60/8

= (91-60) /8

= 31/8 miles

= 3 7/8 miles

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .