Indigo Depot is having a clearance sale of their fall items. A jacket that originally cost $90 before any discount is on sale for 20% off. If the jacket is then put on clearance for an additional 30% off the sale price, what is the final price? Round your answer to the nearest cent, if necessary.

$50.40

Step-by-step explanation:

90 - 20%:

We can use fractions to simplify this percentage:

90 - 2/10 = 90 - 18 = 72.

So before it was put on clearance, it was $72.

After it's put on clearance:

72 - 30% = 72 - 3/10 = 72 - 21.6 = 50.4

So the final price is $50.4.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36