Miss Levans gave her class an exam on which the possible scores were integers from 0 to 100. If the class median was 91 points and the average was 95 points, what was the top score in the class?

  100

Step-by-step explanation:

Suppose there are 2n+1 students in the class. If n+1 of them score 91, and n of them score the high score h, for the average to be 95, we must have ...

  91(n+1) +nh = 95(2n+1)

  91n +91 +nh = 190n +95

  nh = 99n +4

  h = 99 +4/n

The high score must be greater than 99. The high score must be 100.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

what is the answer?