A donut shop made 32 donuts with frosting and 18 donuts without frosting. What is the ratio of the number of donuts with frosting to the number of donuts without frosting?

16 to 9

Step-by-step explanation:

Represent donut with frosting with D1 and donut without frosting with D2.

So, we have:

Required

Find the ratio of D1 to D2

This is calculated as:

Substitute values for D1 and D2

Divide by 2

The ratio of donuts with frosting to donuts without is 16 to 9

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)