The ratio of boys to girls In student council is 4 to 5. Students council has 18 members. How many are boys?

Step-by-step explanation:

boy count is 1476

Explanation:

There is an important difference between the way counts are viewed in ratio to that in fractions.

The ratio of boys : girls

→

4

:

5

so you have 4 boys and 5 girls making the whole count

4

+

5

=

9

in its simplest form.

So to change the ratio proportion into fraction proportion we have:

boys

→

4

9

of the whole.

girls

→

5

9

of the whole.

It is given that the whole is 3321 therefore the count of boys is:

4

9

×

3321

=

1476

(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