Fran is making pancakes. The recipe for the pancakes calls for 1/8 teaspoon of salt for every 3/4 cup of flour. Fran makes an amount of pancakes that needs 18 cups of flour. How much salt, in teaspoons, does Fran need to use for the pancakes?

3 teaspoon

Step-by-step explanation:

If for every 3/4 cup of flour we will need 1/8 teaspoon of salt, then:

1/8 teaspoon = 3/4 cup of flour

To get the amount of teaspoon needed for 18cups we will say:

x teaspoon = 18 cups

Solving both equalities for x:

1/8 teaspoon = 3/4 cup of flour

x teaspoon = 18 cups

Cross multiply

3/4 * x = 18 * 1/8

3x/4 = 18/8

cross multiply again

3x*8 = 4*18

24x = 72

x = 72/24

x = 3

Hence Fran needs 3 teaspoon of salt fir 18cups of flour

b. x- 48 =120

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