SOLUTION: N is 80% of P N to the root of 2 is what percent of P to the root of 2?

Question 236331: N is 80% of P
N to the root of 2 is what percent of P to the root of 2?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
n = 80% of p means that:

n = .8*p

take the square root of both sides of this equation and you get:

sqrt(n) = sqrt(.8*p) = sqrt(.8) * sqrt(p)

sqrt(.8) = .894427191 * 100% = 89.4427191%

your answer is:

sqrt(n) = 89.4427191% of sqrt(p)

to confirm, let n = 100

this makes p = 100/.8 = 125

equation of

n = .8*p becomes

100 = .8*125

take sqrt of both sides to get:

sqrt(100) = sqrt(.8*125) = sqrt(.8) * sqrt(125)

this becomes:

10 = .894427191 * 11.18033989

this becomes:

10 = 10

Answer is confirmed.

RELATED QUESTIONS
simplify (p-the square root of n)*(p + the square root of... (answered by RAY100)

What is the simplified form of the square root of the quantity 72 times n to the... (answered by stanbon)

what is the square root of 27/p^2... (answered by Alan3354)

if n varies inversely as m^2 , directly as p, and directly as square root of t, what... (answered by josgarithmetic)

If P(n,2)=20 then what is the value of n? Show your solution (answered by Alan3354)

N varies jointly with the square root of p and the cube of q. If n=72 when p=3 and q=2,... (answered by josgarithmetic,ikleyn)

What is the domain of n(x) if n(x)= the square root of (5-x) minus... (answered by stanbon)

What is the answer to 2� square root of 80- square root of 125 in combining radicals (answered by Fombitz)

what is the value of log square root of m to the 3rd power/n? (answered by Nate)