Ariana is painting the walls of her shed blue and the ceiling white. the walls are all 10-foot squares. paint costs $26.98 per gallon and a gallon of paint covers 350 square feet. what is the total cost of the paint ariana needs including 5.5% sales tax. round to the nearest cent.

$85.39

Step-by-step explanation:

To begin solving for the total cost of the paint that Ariana needs to buy, we first need to calculate the size of the walls and the ceiling that she is going to paint.

We begin by finding the size for the walls.

We use the formula to find the area of each wall.

We know that the walls are 10-foot squares.

10 x 10 = 100 Square Feet

Each wall will have an area of 100 square feet each, we know that there are 4 walls in the shed.

100 x 4 = 400 Square Feet of walls to paint total.

Now we know that the ceiling will have the same area as the walls.

10 x 10 = 100 Square Feet of ceiling to paint.

Now Ariana goes to the store and finds that a gallon of paint cover 350 square feet. Ariana needs to paint a total of 400 square feet of wall.

400 - 350 = 50 Square Feet remains.

We know that she needs to buy the paint in gallons, so this leaves Ariana with purchasing 2 gallons of Blue paint.

Now Ariana also wants to paint the ceiling white. We know that 1 gallon of White paint is more than enough to cover the ceiling, but she still needs to buy the gallon of paint.

Now we add up all the prices of the 3 gallons of paint.

$26.98 x 2 = $53.96 for Blue Paint

$26.98 x 1 = $26.98 for White Paint

Total cost = $80.94.

Now we know that the sales tax is 5.5% of the total price.

$80.94 x 0.055

Sales Tax = $4.45

Now we simply add the total cost to the sales tax.

$80.94 + 4.45

Total cost with sales tax = $85.39

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

h/o/e/s mad

step-by-step explanation:

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