It is a customer appreciation week at the vans shoe outlet, Which means all customers are given a 20% discount on all items. A customer comes in with an birthday coupon for an additional 10% off any shoe item, once the first discount has been applied. The customer buys 3 pairs of shoes for $120.00 each. After the two discounts how much does the customer pay?

$278.40

Step-by-step explanation:

Note: "...an additional 10% off any shoe item, once the first discount has been applied." (emphasis added).

Note that the customer is buying 3 pairs of shoes for $120 each: 120 x 3 = $360

The first discount is the 20% discount  (on every single item), the second discount is the 10% discount coupon of of any item (which signifies one item only).

Solve for the first discount:

$360 x 0.20 = $72

$360 - 72 = $288.

Next, divide $288 by 3 (to get the individual prices of the shoes:

$288/3 = $96.

The customer then uses a birthday coupon for one of the shoes, which gives an additional 10% off.

$96 x 0.10 = 9.6

$96 - 9.6 = $86.4

Remember, the other two shoes still cost $96 each. Add the price together:

$96 + $96 + $86.4 = $278.40

$278.40 will be the total.

~

{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

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8