Find the unknown number in the equation 30,672 ÷ q = 852 explain how you found the unknown.

The value of q is 36.

Step-by-step explanation:

From the given equation,

            =  852

This also implies that,

            =

Cross multiply to have;

    q × 852 = 30672 ×1

     852q = 30672

Since the value of q is required, divide both sides by 852;

    q =

       = 36

Thus, the value of q is 36.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.