99 points get it fast!

emerson purchased a game that was on sale for 18% off. the sales tax in his county is 8%. let y represent the original price of the game. write an expression that can be used to determine the final cost of the game.

final price = .8856y

Step-by-step explanation:

y =original price of the game

discount = y* 18 percent

discount = .18y

new price = original price -discount

new price = y -.18y

factor out the y

new price = y(1-.18)

new price = y(.82)

now we need to add tax

tax= new price * .08

tax = y (.82) (.08)

tax = y (.0656)

final price = new price + tax

final price = y (.82) + y (.0656)

final price = .8856y

1.08 (.82y)

Step-by-step explanation:

Discount the game before adding taxes

Since y=100% of the price of the game

100-18%=82%

Meaning you are only paying for 82% of the full game price making your equation .82y to find out the price of the discounted game

Now you have to add the taxes at 8%.

1.08 (.82y) = the final price of the discounted game plus taxes.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.