Malek's dog-walking service charges a flat rate of $24 per month, plus $2 per mile that each dog is walked. Bob does not charge a monthly fee for his dog-walking service, but he charges
$5 per mile that each dog is walked. Write and solve an equation to find the number of miles
m for which Malek and Bob would charge the same amount.

24+2m=5m.

Step-by-step explanation:

The flat rate of Malek's is 24. He charges 2 per mile so 2m. Bob charges only 5$ per mile for the dogs, so it is 5*m.

The solution to the equation 24+2m=5m would be m=8

2m+24=5m

2m=5m-24

-3m=-24

m=8

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 .