Alan solved the proportion StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction as shown. StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction. (8) (x) = (25) (200). 8 x = 5,000. StartFraction 8 x over 8 EndFraction = StartFraction 5,000 over 8 EndFraction. X = 625. What is Alan’s error? He got the wrong product when he multiplied 25 by 200. He got the wrong quotient when he divided 5,000 by 8. He mixed up the positions of 8 and 25 in the equation (8) (x) = (25) (200). He mixed up the positions of 8 and 200 in the equation (8) (x) = (25) (200)

Step-by-step explanation:

The proportion that Alan solved was

x/200 = 8/25

His working as shown was

(8)(x) = (25) (200)

8x = 5000

He divided both sides of the equation by 8. It became

8x/8 = 5000/8

x = 625

The correct steps are

25x = 200 × 8 = 1600

Dividing both sides of the equation by 25, it becomes

x = 1600/25

x = 64

Alan's error were:

1) He got the wrong product when he multiplied 25 by 200.

2)He got the wrong quotient when he divided 5,000 by 8.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction