Question

If the area & circumference had the same number value what is the diameter of the circle?

A fraction i equivalent to 2/3. if 5 is added to the numerator than the fraction is 5/6. What was the original fraction?


If y is four less than the square root of x, find x.


The ratio of men to women is 2:3. If there are 365 people, the number of women is

Answer 1

πr^2 = 2πr
r^2 - 2r = 0
r(r-2) = 0
r = 0 , the trivial answer
or
r = 2
So the diameter is 4

a/b = 2/3 or 2b = 3a, or b = 3a/2

(a+5)/b = 5/6
5b = 6a + 30
5(3a/2) = 6a + 30
times 2
15a = 12a + 60
a = 20 and b = 3(20)/2 = 30

the fraction was 20/30

y < √x by 4
y = √x + 4
y-4 = √x
square both sides
y^2 - 8y + 16 = x

men: women = m : w = 2 : 3 = 2x : 3x

5x = 365
x =73
men = 2x = 146
women = 3x = 219