The average of 2P, 3Q, and another number is S. Represent the third number in terms of P,Q,and S.
A. S-2P-3Q
B. S-2P+3Q
C. 3S-2P+3Q
D. 3S-2P-3Q
E. S+2P-3Q
not just answer,please
Let x = the third number
It says that the average of 2P, 3Q and x is equal to S. Therefore,
(2P + 3Q + x)/3 = S
Getting x,
2P + 3Q + x = 3S
x = 3S - 2P - 3Q
hope it helps :)
thank you, I understand now.
To find the third number in terms of P, Q, and S, we can start by finding the average of 2P and 3Q.
The average of 2P and 3Q is given by:
(2P + 3Q) / 2
Now, let's add the third number to this average and set it equal to S:
(2P + 3Q + Third Number) / 3 = S
To isolate the Third Number, we can multiply both sides of the equation by 3:
2P + 3Q + Third Number = 3S
Now, we can subtract 2P and 3Q from both sides of the equation:
Third Number = 3S - 2P - 3Q
Therefore, the third number is represented by option A: S - 2P - 3Q.
To find the third number in terms of P, Q, and S, we need to first understand how to calculate the average of three numbers.
The average of any set of numbers is found by summing all the numbers and then dividing the sum by the total count of numbers. In this case, the average of 2P, 3Q, and the third number can be represented as (2P + 3Q + third number) / 3.
Since the average is given as S, we can set up the equation: (2P + 3Q + third number) / 3 = S.
To find the third number, we can rearrange the equation to isolate the third number:
2P + 3Q + third number = 3S.
Now, to represent the third number in terms of P, Q, and S, we can rearrange the equation further to solve for the third number:
third number = 3S - 2P - 3Q.
Therefore, the answer is A. S - 2P - 3Q.