Luis wants to buy a skateboard that usually sells for $79.56. all merchandise is discounted by 12%. what is the total cost of the skateboard if luis has to pay a state sales tax of 7.75%. round your intermediate calculations and answer to the nearest cent.

Luis paid $75.44

Step-by-step explanation:

First we need to find how much he paid after the discount. To do so, we need to find the amount of the discount, which we can do by multiplying the discount amount by the price.

$79.56 * 12% = $9.55

Now we subtract that from the cost.

$79.56 - $9.55 = $70.01

Next, find the sales tax on the new price of the skateboard, by multiplying the new cost by the percentage.

$70.01 * 7.75% = $5.43

Now we add that amount to the amount he paid.

$70.01 + $5.43 = $75.44

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.