You increase the amounts of ingredients in a recipe to make a proportional recipe. The original recipe uses three avocados and 0.5 cup of minced onions. The new recipe has 1.5 cups of minced onions. Write a proportion that gives the number x of avocados in the new recipe. Then determine how many avocados are in the new recipe.

9 : 1.5

9 avocados

Step-by-step explanation:

the original is 3:0.5, this means for every 3 avocados you need 0.5 cups of minced onions.

the new proportion would be ?:1.5

meaning it is not 9:1.5, since 1.5 is 3 times more than 0.5, therefore 3 avocados would also have to be multiplied by 3. giving you 9 avocados.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb