Arecipe calls for 1/2 cup of ingredient a for everyone 1 2/3 cups of ingredients b how many cups of ingredients do you need when using 4 cups of ingrediente

Step-by-step explanation:

Let's assume

A be amount of ingredient A in cups

B be amount of ingredient A in cups

we are given

a recipe calls for 1/2 cup of ingredient a for everyone 1 2/3 cups of ingredients B

so, we get

now, we are given

A=4

now, we can solve for B

How many different three colour flags (tricolors) can be designed using green, blue, red, yellow and black stripes if all three colours must be different?
6P3 = 6!/(6 - 3)! = 6!/3! = (6 x 5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 720/6 = 120 flags.

How many of them contain a red stripe?
The remaining two colours can be arranged in 5P2 = 5!/(5 - 2)! = 5!/3! = (5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 120/6 = 20ways
The red stripe can arranged in 3 ways
Therefore, number of flags having red stripe is 20 x 3 = 60 flags.