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An aquarium tank can hold 7700 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 77 minutes.
In a family there are two cars. In a given week, the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon.
Derive rules to test whether a number is divisible by N, where N ranges from 2 to 13. E.g. A number is divisible by 3 if the sum of the digits is divisible by 3
Ronald still owes $11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price?
One smaller square is inside a larger square. The remaining open area is the shaded region. What is the area of this shaded region?
Nestle has two European manufacturing plants (A and B) which produce 900000 and 1000000 pounds of chocolate per month.
An algebraic equation is a complete sentence. It has a subject, a verb, and a predicate.
How many outcomes are in the sample space of this experiment? Give an explanation, not just an answer.
If I and III are morning papers and II is an evening paper, how many people read at least one morning paper plus one evening paper?
Tall Tony can see over the fence and counts 26 heads. How many chickens does farmer have in his fenced barnyard?
Solve the following equation for X , Simplify your answer as much as possible. 7X - 5 = 4(X - 5)
Prove that any amount of postage greater than or equal to 12 cents can be built using only 4-cent and 5-cent stamps.
Write the Lagrangian for a one-dimensional particle moving along the x-axis and subject to a force F=-kx (with k possitive).
Student tickets were $8.50 and non-students were $13.25. If the total revenue for the game was $75,925, then how many tickets of each type were sold?
Solve each system by the substitution method. Indicate whether each system is independent, dependent or inconsistent.
Assume k>0 is fixed. Explain why, for large x, the relative growth rate of the function g(x) = e^kx is larger than the relative growth rate of f(x).
Solve each compound inequality. State the solution set using interval notation and graph it. x 3
Your company produces a product in a market that has grown by 10% per year for the past 15 years.
Jenny purchased a prepaid phone card for $20. The long distance calls cost 10 cents a minute using this card.
Derive the formula for the entropy of an ideal monoatomic gas using the microcanonical ensemble. This formula is known as the Sackur-Tetrode equation.
Now, develop a projection for the amount of the prize for the winner for the year 2004 using the relationship between the prize and the purse winnings.
What are the steps you use to change a measurement in degrees Celsius to degrees Fahrenheit?
How do you solve the inequality (x + 1)(x - 6) < 0, and express the solution using interval notation.
Simplify the following. Make sure to show all the steps involved. Expression: (3t^2 - 8t +3) + (-5t^2 + 4) - (t^2 + 5t - 3)
Prove that if R is commutative ring and N=(a1,a2,..am) where each ai is a nilpotent element, then N is a nilpotent ideal, i.e N^n=0 for some positive integer n.