John had a roll containing 24 2/3 feet of wrapping paper. he wants to divide it into 11 pieces. first, though, he must cut off 5/6 foot because it was torn. how long will each piece be?

We are given a total size of 24 2/3 feet of wrapping paper. Convert this into fraction of denominator 6:

total paper = 24 2/3 = 74/3 = 148/6 feet

Subtract 5/6 foot:

remaining paper = 148/6 – 5/6 = 143/6 feet

Divide by 11:

each piece = (143/6) ft / 11 = 143/66  ft = 2.17 ft

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.

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: