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I. Number Problem
The sum of two numbers is 25, and one number is four times the other number. Find the numbers.
II. Age Problem
Sam is eight years older than his brother. Seven years ago, Sam was twice as old as his brother. How old is Sam now?
III. Geometry Problem
Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of the yard?
IV. Interest Problem
Beth is planning on investing her 12,000 bonus, putting some in an account earning 7% and the rest in an account earning 5%. How much should she put in each account to have a total of $760 interest?
When the rate of labor usage is 100 units of labor, output is _______ units. What is the average variable cost and marginal cost.
Describe what this value represents in practical terms. Choose the correct answer below. Both companies charge $67.20 for 80 miles driven.
Find the domain of the function. Make sure answer is in interval notation. For the given function f and g find the specified value of the following functions and state the domain of each one.
Three different quadratic functions.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2. Suppose that the firm considers making only two products and desire..
Write two equations that have your two integers as solutions. Show how you built the equations using your integers. Solve your system of equations by the addition/subtraction method. Make sure you show the necessary 5 steps.
Calculate the arithmetic mean and median
The customer can choose as many of the vegetables as desired and up to to meats. If cheese is desired, the customer either specifies one of the cheeses or else opts fort the 3-cheese blend. How many different pasta dishes can be built?
Simplify the formula for given variable
Use algebra to solve these two simultaneous equations, Show each step of your working clearly. y = 6,5x + 40, y = 4,5x + 80 find x and y?
Why is this process more difficult than when the leading coefficient is equal to one and give an example. How could we apply FOIL in this context?
Express the number 0.000722 in scientific notation.
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