The miller's are comparing babysitting services for their two children.
the babysitter's block charges a rate of $15 an hour per child plus an initial fee of $25 per household.
super sitters charges a flat rate of $20 an hour per child.

it will take 2.5 hours for the hours of service to cost the same.

Step-by-step explanation:

Let L represent the hours of service for which both babysitting services would cost the same.

Let x represent the cost of L hours when using the Babysitter's Block.

Let y represent the cost of L hours when using the Super Sitters.

The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. This means that the cost of L hours for the two children would be

x = 25 + 30L - - - - - - - - - - - -1

Super Sitters charges a flat rate of $20 an hour per child. This means that the total cost for L hours for the two children would be

y = 40L

To determine the the hours of service for which both babysitting services would cost the same, we would equate x to y. It becomes

25 + 30L = 40L

25 = 40L - 30L = 10L

L = 25/10 = 2.5 hours

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: