A recipe calls for 3 cups of flour for every 5 eggs. How many cups of flour do you need for every 1 egg?

Step-by-step explanation:

Let's set up a proportion using this setup.

We know that 3 cups of flour are needed for every 5 eggs.

We don't know how many cups are needed for 1 egg, so we say x cups for 1 egg.

We are solving for x, so we must isolate the variable. x is being divided by 1. The inverse of division is multiplication, so multiply both sides by 1.

For every 1 egg, 3/5 or 0.6 cups of flour are needed.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15