Agrocery store receipt shows 5% state tax due on laundry detergent and a flower bouquet. does it matter whether the tax is calculated on each separate item or the total cost? explain.

It does not matter whether the tax is calculated on each separate item or the total cost.

Lets check both the conditions by taking 2 items.

Lets suppose a person buys laundry detergent for $4.50 and flower bouquet for $5.25

Condition 1: If 5% tax is deducted separately on both items:

Cost of laundry detergent becomes after tax =

=

Cost of flower bouquet becomes =

=

So, total tax deducted is = = $0.4875

Condition 2: If tax is deducted on whole amount.

Cost of both the items = =$9.75

5% tax on 9.75 is = = $0.4875

Hence, we can see that in both the conditions the tax is same that is $0.4875

So, it does not matter whether the tax is calculated on each separate item or the total cost. The tax remains the same.

{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