Jim is his dad cook hamburgers for his family and friends. there are 15 people. each person wants two hamburgers. three people want hamburgers with cheese. two people want hamburgers with mustard. two people want hamburgers with catsup. the rest want them plain. how many plain hamburgers will jim and his dad make?

8
16
21
23

Answer

Find out the how many plain hamburgers will Jim and his dad make .

To proof

As given

Jim is helping his dad cook hamburgers for his family and friends.

There are 15 people. Each person wants two hamburgers

Total number of hamburgers = 15× 2

                                                = 30

As given

Three people want hamburgers with cheese.

Each person wants two hamburgers

Total hamburgers with cheese = 2 × 3

                                                   = 6

As given

Two people want hamburgers with mustard.

Each person wants two hamburgers

Total hamburgers with mustard = 2× 2

                                                     = 4

As given

Two people want hamburgers with catsup.

Each person wants two hamburgers

Total  hamburgers with catsup = 2 × 2

                                                     = 4

As given

The rest want them plain.

let us assume that the plane hamburgers be x .

than the equation becomes

x +6 +4 + 4 = 30

x = 30 - 14

x = 16

Therefore the plain hamburgers will Jim and his dad make be 16 .

Option (b) is correct .

Hence proved

2

step-by-step explanation:

(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