A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is x cubic inches and the volume of the larger bin is y cubic inches. The store has S smaller bins and L larger bins. Which expressions represents the total volume of all the bins?

Total volume of all the bins = xS + yL

Step-by-step explanation:

Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.

To find: an expression that represents the total volume of all the bins

Solution:

The volume of the smaller bin = x cubic inches

The volume of the larger bin = y cubic inches

Also, the store has S smaller bins and L larger bins

So,

Total volume of all the bins = xS + yL

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.