A clothing store used the sign shown below to advertise a discount on shirts. DISCOUNT
Buy Two Shirts
Get 50% Off Third Shirt

Celia wants to buy three shirts, which were originally priced $56 each. The store will discount the
price of the third shirt and then apply a 7% tax to the total cost of all three shirts.

Including the tax.
what will be the mean cost of each shirt? (Round your answer to the nearest cent).

Including the tax, the mean cost of each shirt is $___?

$49.93

Step-by-step explanation:

Original cost = $56

Cost of 3 shirts:

3*$56 = $168

Cost of 3 shirts with discount:

168 - 1/2*56 =

168 - 28 =

$140

Add tax:

$140*1.07 = $149.8

Mean cost of each shirt:

$149.8/3 = $49.93

it is x=-4

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240