Lisa spends 1/4 of her earnings on rent and 1/5 of her earnings on food let m stand for her monthly earnings in dollars. which of the following expressions represents the number of dollars lisa has left at the end of the montj after paying rent and buying food

Step-by-step explanation:

Let her total earnings be $m

Rent = m/4

Food = m/5

Let the among left be X

: m/4 + m/5 + X = m

Multiply each term by 20

5m + 4m + 20X = 20m

Collecting like terms

20X = 20m - 5m - 4m

20X = 11m

X = 11m/20

Amount left = $11m/20

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:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2