A wire is 50 inches long. Where should the wire be cut so that it forms 2 pieces one made into a circle and one made into a square such that the area of the circle plus the area of the square in exactly 80 square inches?

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

Aparallel system functions whenever at least one of its components works. consider a parallel system of n components, and suppose each component works independently with probability 0.5. find the conditional probability that component n works given that the system is working

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²