5. abc-free permutations consider permutations of the 26-character lowercase alphabet e = {a, b,c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y,z} . 1. in how many of these permutations do a, b, c occur consecutively and in that order? 2. in how many of these permutations does a appear before b and b appear before c?

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

put it on my bill

step-by-step explanation:

answer: our required factorization will be

(3x+4)(x²-5)

step-by-step explanation:

since we have given that

now, we will write it as :

so, we get

5(3x+4)

similarly,

here, we get,

2(3x+4)

together it becomes,

hence, our required factorization will be

(3x+4)(x²-5)