In a class of 25 students, the average score is 83. eight students in the class each received a maximum score of 100, and five students each received a score of 60. what is the average score of the remaining students?

8 students scored 100, so net score = 8*100 = 800

5 students received 60, so net score = 5*60 = 300

Remaining number of student s = 25-5-8 = 12 students

Let the score of each of these students be x, so the net score  = 12*x = 12x

So total score =  800 + 300 + 12 x

Average score = (800+300+12x)/25

Average score = 83

Therefore, we equate both the average scores

(800+300+12x)/25 = 83

1100 +12x = 25*83 = 2,075

12x = 2,075-1,100

12x = 975

x = 81.25

Average score of the remaining students = 81.25

the input value is the number of times you fold it. the input value is also known as the x-value. 

the output value is its thickness. the output value is the y-value.

when you don't fold it all, the thickness will remain the same, which is 1. the ordered pair would be (0,1).

when you fold it once, the thickness will double from 1 to  2. the ordered pair would be (1,2).

when you fold it a second time, the thickness will double from 2 to  4. the ordered pair would be (2,4).

fold it one more time, and the thickness will be 8. the ordered pair is (3,8)

fold it the fourth time, and the thickness doubles. 8 x 2 = 16. the ordered pair is (4,16)

fold it the fifth time, and the thickness goes from 16 to 32. the ordered pair is (5,32)

the ordered pairs would be:

(0,1)

(1,2)

(2,4)

(3,8)

(4,16)

(5,32)

(6,64)

(7,128)

and so on : p

the question asks for 6 ordered pairs, so i bolded the first six.

now, the equation for this would be 

if we graph that, and we do the vertical line test, then we know this is a function.

it is a function because each x-value has a different y-value. there are no y-values that have the same x-values.

i have attached the graph of that line.

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step-by-step explanation:

4096 bacteria

step-by-step explanation: