Working alone, it would take shandra 45 minutes to mow the lawn. to mow the same lawn, also working alone, it would take kelly 1 hour and 15 minutes. if they work together, the girls believe it will take them 1 hour to mow the lawn.
which best describes the reasonableness of their solution?

While working together, they will complete the work in 28.125 minutes

Step-by-step explanation:

Working alone, it would take Shandra 45 minutes to mow the lawn.

Working alone, it would take Kelly 1 hour and 15 minutes. to mow the lawn. In minutes this becomes minutes.

So, when they are working together, they will complete 1 job.

Lets the time taken by both working together be t

Equation forms:

=>

=>

=>

t = 28.125 minutes

Hence, while working together, they will complete the work in 28.125 minutes which is very less than their estimation.

step-by-step explanation:

cats

{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