Sophie and Marcos are each saving for new bicycles. So far, Sophie has $10 saved and can earn $5 per hour walking
dogs. Marcos has $4 saved and can earn $8 per hour at his
family’s nursery.
a. Write an equation for each individual.
b. After how many hours of work will Sophie and Marcos
have saved the same amount?
c. What will that amount be?

a.   Sophie's equation: 10+5a=b

Marcos' equation: 4+8a=b

a=number of hours  b=total needed for bike

b.   a=2 for their totals to be the same.

c.   b=20 for their totals to be the same.

work:

10+5(2) > 10+10 > 20

4+8(2) > 4+16 > 20

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 .