A box has orange, green, and brown beads. There are 8 more orange beads than green beads. There are twice as many brown beads as orange. There are 96 beads in all. How many orange beads are there?

26 orange beads.

Step-by-step explanation:

Let O, G, B represent number of orange beads, green beads and brown beads respectively.

We have been that there are 8 more orange beads than green beads. We can represent this information in an equation as:

There are twice as many brown beads as orange. We can represent this information in an equation as:

There are 96 beads in all. We can represent this information in an equation as:

Upon substituting equation (1) and (2) in equation (3), we will get:

Therefore, there are 26 orange beads.

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°