Macy was asked to compare the two ratios 4:5 and 19 to 30. Her work is shown below. Which is true? 4:5 ? 19 to 30

Four-fifths question mark StartFraction 19 Over 30 EndFraction. Common denominator is 30. StartFraction 18 Over 30 EndFraction less-than StartFraction 19 Over 30 EndFraction
Macy did not correctly write the ratios as fractions.
Macy did not find a common denominator for the fractions.
Macy did not find the correct equivalent fraction with the denominator of 30.
Macy did not correctly compare the numerators.

C. Macy did not find the correct equivalent fraction with the denominator of 30.

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

true

step-by-step explanation:

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