Sharon is making 100 liters of punch for a party. the punch contains ginger ale (g) and fruit juice (f). the cost of the ginger ale is $1 per liter and the fruit juice is $1.50 per liter. if sharon spent a total of $130, how many liters of each did she put in the punch? which system of equations matches the situation?

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

Find cot x if sin x cot x csc x = √2

What is the length of the midsegment of a trapezoid with bases of length 15 and 25 ?