Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?

0.05n + 0.25q = 1.60

q = 3n

0.05n + 0.25(3n) = 160

0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals

5n + 75n = 160...answer D

Step-by-step explanation:

(meow) <3

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0