Ms. Barton ate an impressive number of slices, but Mr. weaver ate eight more slices than Ms. Barton did. Mr. Fitzgerald ate fifteen Fewer slices than twice as many as Ms. Barton did. Mr. Lloyd’s total was more thirty than half of Ms. Barton’s If the teachers ate a total of 176 slices of pie, what was the finishing order of the contest and how many slices did the winner eat?

Let:

Ms. Barton = b

Mr. Weaver = b + 8

Mr. Fitzgerald = 2b - 15

Mr. Lloyd = 1/2b + 30

Find b:

176 = b + b + 8 + 2b - 15 + 1/2b + 30

176 = 9/2b + 23

153 = 9/2b

b=34

Plug in 9 to b:

Ms. Barton = 34 slices (4th place)

Mr. Weaver = 34 + 8 = 42 slices (3rd place)

Mr. Fitzgerald = 2(34) - 15 = 53 slices (1st place)

Mr. Lloyd = 1/2(34) + 30 = 47 slices (2nd place)

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.