I'm confused on how to create ratios Example:
Latoya's Recipe is 9:20
2 1/5 parts cranapple juice
1 4/5 parts lemonade
i know you add to the total, 4
then the lemonade as a whole is 9
but how do you know to get the four to a 20?
when in
Parker's Recipe is 7:12
2 1/2 parts cranapple juice
3 1/2 parts lemonade
you add, 6
then you get 7,
but to get to 12 you instead of multiplying?
how do you know which to do when or just how do get ratios?

Latoya:

cran : lem = 2 1/5 : 1 4/5

= 11/5 : 9/5

= 11 : 9

Lem : total = 9 : 20

Parker:

cran : lem = 2 1/2 : 3 1/2

= 5/2 : 7/2

= 5 : 7

Lem : total = 7 : 12

Step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).