The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 42 minutes of calls is $23.70, and the remaining credit after 53 minutes of calls is $22.05 . What is the remaining credit after 61 minutes of calls?

The remaining credit after 61 minutes of calls is $20.85.

Step-by-step explanation:

The credit remaining after t minutes can be modeled by a linear function is the following format:

In which C(0) is the initial amount of credit and a is the cost of a minute.

The remaining credit after 42 minutes of calls is $23.70

This means that

So

The remaining credit after 53 minutes of calls is $22.05.

This means that

So

From above:

So

So

What is the remaining credit after 61 minutes of calls?

This is C(61).

The remaining credit after 61 minutes of calls is $20.85.

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

we are given expression: and .

in order to find it's greatest common factor, let us break it into smaller parts.

let us find greatest common factor of 54 and 27 first.

54 = 27 × 2

27 = 27 × 1

now, let us find the greatest common factor of m and m^3.

now, let us find the greatest common factor of n^4 and n^2.

therefore, following expressions are part of the greatest common factor of 54mn^4 and 27m^3n^2.