Mary earned 35.00 for waking her neighbors dogs Mary charged a flat fee of 5.00 to walk the dogs Mary also charged 2.50 for each 1/4 hour she walked the dogs

Complete question :

Mary earned $35.00 for walking her neighbor's dogs. Mary charged a flat fee of $5.00 to walk the dogs. Mary also charged $2.50 for each hour she walked the dogs. For exactly how many hours did Mary walk her neighbor's dogs?

12 hours

Step-by-step explanation:

Given that:

Mary's charge rate :

Flat fee = $5

Amount charged per hour (hourly charge) = $2.50

Amount earned = $35

Hence,

Amount earned = flat fee + (hourly charge * number of hours)

Let number of hours = h

35 = 5 + 2.50h

35 - 5 = 2.50h

30 = 2.50h

h = 30/2.5

h = 12

Hence, Mary walked her neighbor's dog for 12 hours

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have