Philip rode his bicycle 9 2/5 miles per hour. if he rode for 3/4 of and hour, how many miles did he cover

Distance he covers in of an hour = miles.

Step-by-step explanation:

Phillip rode his bicycle at miles per hour.

To find distance he covers in of an hour.

Solution:

Speed at which Phillip rides = miles per hour

Time for which he cycles = of an hour

Distance covered in miles

To multiply mixed numbers we need to convert them to fractions.

⇒

⇒

Then we simply multiply the numerators and denominators.

⇒

Then we convert back to mixed fraction by dividing numerator by denominator and writing the quotient as whole number with fraction (remainder as numerator and denominator being the divisor)

⇒ miles.

∴ Distance he covers in of an hour = 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 .

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64