Mandy wants to buy a variety of beverages for her birthday party. She wants to make sure she has enough to drink for all her friends, so she decides to buy 10 liters of beverages. If she buys at least one container of each beverage, what combination of beverages can she buy to equal exactly 10 liters? Beverages at the store:
2,000 millilitres of soda, 2.5 liters of apple juice, 1,500 millilitres of fruit punch, 2 liters of lemonade

Soda x 2

Apple Juice x 1

Fruit Punch x 1

Lemonade x 1

and

Soda x 1

Apple Juice x 1

Fruit Punch x 1

Lemonade x 2

Step-by-step explanation:

Amounts:

Soda 2L

Apple Juice 2.5L

Fruit Punch 1.5L

Lemonade 2L

S + A + FP + L = 8L

So we need 2 L more. The only way of doing this is by either having 2 lots of soda or 2 lots of lemonade.

(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