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

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1