Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total cost including 9.5% sales tax was $49.40. Below are the steps the sales clerk completed. Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 + 9.5 = 49.40

Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her error. Explain in writing how to accurately calculate the sales tax, the total cost, and state the correct total. (Round the final answer to the nearest hundredth)

see below

Step-by-step explanation:

Clerk is wrong at step two. It should be...

To calculate the sales tax take 9.5% and divide by 100 which is 0.095. The tax is 0.095(39.90) = 3.79

Cost of items + Tax = Total cost

Cost of items + .095(cost of items) = Total cost

39.90 + 3.79 = 43.69

{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