The quotient of the square of a number minus the cubed root of another number and the sum of those two numbers is nine. how can this relationship best be stated algebraically

Step-by-step explanation:

we know that

The quotient means, divide the numerator by the denominator

In this problem

1) The numerator is "the square of a number minus the cubed root of another number"

Let

x ----> a number

y ----> another number

The algebraic expression of the numerator of the quotient is

2) The denominator is "the sum of those two numbers"

so

The algebraic expression of the denominator of the quotient is

3) The quotient of the square of a number minus the cubed root of another number and the sum of those two numbers is nine

Equate the quotient to the number 9

so

we have

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.