Ryan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . Brand B has a pack of pencils for 9.97$ . Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent.

Unit Price for Brand A: $0.31 per Pencil.

Unit Price for Brand B: $0.35 per Pencil.

Brand A is the better buy.

Step-by-step explanation:

Divide 7.49 by 24 to get 0.312 and round down to 0.31.

Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)

Compare 0.31 and 0.35. (0.31 < 0.35)

step-by-step explanation:

not sure about this one man

{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