Displacement and Buoyancy Buoyancy is the ability to float in a liquid such as water. Archimedes’s experience with water displacement in the bath gave rise to Archimedes’s Principle, which states that the upward buoyant force, or push, exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces. In technical terms, buoyancy is the upward force exerted by a fluid on a body when the body is immersed in the fluid.
Part A
Making use of Archimedes’s Principle, displacements, and buoyancy, explain why some objects float on water, but others do not. Use the diagram to help you decide.

Mr. vector door is buying two new cowboy hats all together the hats cost $75.12 the second heart cost twice as much as the first hat what is the price of the more expensive at round to the nearest hundredth

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Anumber is equal to twice a smaller number plus 3. the same number is equal to twuce the sum of the smaller number and 1. how many solutions are possible for this situation