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How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns.
A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.
Find the x-intercepts for the parabola y = -2x2 + 10x - 5. Find the y-intercept for the parabola y = x2 - 3x + 10.
How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Determine the point A(x, y) so that the points A(x, y), B(0, 3), C(1, 0), D(7, 2) will be the vertices of a parallelogram.
A 5% solution of a drug is to be mixed with some 15% solution and some 10% solution to get 20 ml of 8% solution.
Suppose F varies jointly as x and y and inversely as z squared. If F is equal to 18 when x = 4, y = 3 and z = 2.
Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
A raffle offers first prize of $1,000, 5 second prizes of $300 each, and 25 third prizes of $10 each.
Square root of x cube = 27 Is the square root of x square = x an identity (true for all nonnegative values of x).
How much do you think you will need to retire comfortably at age 60? Would you believe that you’re going to need at least $4,000,000?
In a transshipment problem, items may be transported from sources through transshipment points on to destinations.
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac.
Suppose human population grows from 6.3 billion in 2000 to an ultimate population of 10.3 billion following the logistic curve.
Assume that (X,d) is a compact metric space and f : X?X satisfies the inequality d(f(x), f(y)) < d (x , y) for any x?y.
Explain an advantage of rational exponents over the radical sign and give an example.
For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time.
Write as a single logarithm (DO NOT find approximations): 2 log 4 + log x - log2.
The logarithm transformation can be used to change a linear independent variable into a nonlinear independent variable
Factor the following polynomial completely, given that the binomial following it is a factor of the polynomial. x^3 + 2x^2 - 5x - 6, x + 3
At what price will the revenue be maximized. Approximately how many pools will be sold monthly at this price?
The following trinomial is in the form ax^2 + bx + c. Find two integers that have a product of ac and a sum of b. There is no need to factor the trinomial .
Find the LCD for the following rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator
Perform the operation. Reduce each answer to the lowest terms: 3/2y - 3/ 2y + 4