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A consulting engineer's time is billed at $30 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $715 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on the job?
Chemist has 400ml of solution of which 80% is alcohol. How much water needs to be added to dilute solution to 50% alcohol? Please provide step by step breakdown so I can understand how this is solved.
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
Permutation and combination to find number of ways
A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.
Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.
What three variables are negatively related to competence
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
6. 23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
To find the rate of increment in the height of conical pile at a particular point using differentiation.
Find the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
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