Question

help quick please):

A survey is taken and finds that 4,250 people in town would vote for candidate A. The survey company says their results are accurate within 2%. Write an absolute value inequality with x as the possible survey results.


The quotient of a number and five is eight less than the number. What is the number?

Answer 1

@agent0smith do you think you could help me with these two please?

Answer 2

With 2% error, x will be between: 4250 * .98 <= x <= 4250 * 1.02

Answer 3

so would it be x+4250<0.002 ? @ranga

Answer 4

*0.02

Answer 5

x is the survey result which is the number of votes candidate A gets. That number is 4250.
But there is a margin of error of 2% in the survey.
That means, it could be 2% more than 4250 or 2% less than 4250
2% more means multiply by 1.02. 4250 * 1.02 = 4335
2% less means multiplying by 0.98. 4250 * 0.98 = 4165

So 4165 <= x <= 4335 is the inequality.

Answer 6

thanks! by any chance could you help me with the second problem? @ranga

Answer 7

Let the number be N.
"The quotient of a number and five" means N / 5
"eight less than the number" is N - 8
N/5 = N - 8

Solve for N.

Answer 8

N/5 = N - 8
Multiply both sides by 5:
N = 5N - 40
subtract N
0 = 4N - 40
add 40
40 = 4N
divide by 4:
10 = N
The number is 10.