To create a breakfast beverage, pineapple juice in two concentrations, 20% and 70%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 20 gallons of 20% juice is used, how many gallons of the 70% juice must be used to obtain a 60% pineapple juice solution?

Lv beethoven software supplies customized software to a managed healthcare system. lv beethoven software's costs for the software is $1,723,000. lv beethoven software sells the software to the healthcare system for $3,816,981.10. overhead expenses are estimated at 47% of the selling price. what is lv beethoven software's net profit to the nearest dollar?

The trigonometric ratios sine and secant are reciprocals of each other

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.