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certain drug is made out of two compounds only: A and compound B. To make this drug 6 parts of compound A are used for every 5 parts of compound B. If a chemist wants to make 957 milliliters of this drug, how many milliliters of compound B are needed.
The internal and external radius of a metallic hemisperical bowl are 5 cm and 11 cm respectively. Find the volume of the metal used to make the bowl.
a ski-lift that runs to the top of a hill has a rise to run ration of 1/2. the horizontal distance from the bottom of the lift to the center of the mountain is 5000ft. how high is the hill?
A conical tank (with vertex down) is 12 feet across the top and 14 feet deep. Water is flowing into the tank at the rate of 11 cubic feet per minute, find the rate of change of depth of water when the water is 6ft deep.
volume of wood in a tree trunk varies jointly as the height and girth. if the volume is 53m^3, when the height is 20m and the girth is 1.5m, what is the volume when the height is 76m and the girth is 2m?
Elena bicycles 5km/h faster than Dennis. In the same time it takes Dennis to bicycle 36km, Elena can bicycle 51km. How fast does each bicyclist travel?
A group of people share in a $5,000,000 lottery. Before the money is divided, 3 more winning ticket holders are declared. As a result, each person's share is reduced by $375,000. Write and solve an equation to determine how much $ each winner rece..
What is the cost of manufacturing before any units are produced
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
Marsha bought a boat at a clearance sale from Big Ed's Boats. She bought it for $12,000, which was 35% off of the original price. How much did it cost before Big Ed marked it down?
Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of these points
Develop a model to represent the total profit for selling x necklaces. How many necklaces will the student have to sell to break-even?
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