Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 302062: As the owner of a business, you must make sure that you spend no more than you have. Unfortunately, you often must plan how the business will spend its money before the money has come in.
Let us say that it is the beginning of the second quarter of the year. You must put together a budget for the rest of the year. You are about to learn how much money the business made during the first quarter, and you can use this information to project how much money the business will make during the rest of the year (to project data is to make a prediction about data you do not have based on data you do have). Even though you have not yet learned how much money the business made during the first quarter, you have good reason to believe that during the rest of the year, the business will bring in about five times as much money.
You must be sure that you plan to spend less money than you expect to come in. At the same time, you know that the business will require a minimum of $150,000 to continue to exist during that time. Whatever budget you plan will include at least that much.
Your budget will be based on these two restrictions. The amount of money you spend in the rest of the year must NOT be more than five times what the business made last quarter, AND it must be at least $150,000.
Your task is to do the following:
Write these two restrictions as a system of inequalities relating the amount you will spend in the rest of the year to the amount the business brought in last quarter. As always, be clear about which is which.
Describe the graph of this system in words, indicating whether full or broken lines are used for each inequality and where there is shading.
Name at least one pair of values that is a solution to the system.
Remember to use <= and >= to indicate is less than or equal to and is greater than or equal to, respectively. Place your response below. Create more space for it as needed.
I've determined that 5x<=y>=$150,000 but I do not know how to go any further
Click here to see answer by Theo(3458)   |
Question 306448: I need to solve this problem with a system of equations, not guess and check.
A two digit number is four times the sum of its digits. If the digits are reversed, the new number is 36 more than the original number. What is the original number?
Click here to see answer by richwmiller(9135)  |
Question 307309: My algebra techer gave me a review for the final exam and i totally forgot how to do systems!! Here's the problem:
Today Scott sold twice as many shares of stocks at his brokerage firm as he sold last Friday. In the two days, he sold a total of 144 shares of stocks. Write a system of equations that will determine f, the number of stocks sold last Friday, and t, the number of stocks sold today.
Can you please show me all the steps for how to get the answers? Thank you so much!
Click here to see answer by ankor@dixie-net.com(15639)  |
Question 307336: please help me figure out this problem:
Ruben bought 2 cheeseburgers and 3 bags of fries for $16.50, not including tax. Chris bought 1 cheeseburger and 2 bags of fries for $9.50, not including tax. What was the cost of a bag of fries?
Click here to see answer by checkley77(12569) |
Question 307898: A chemist has a beaker of a 3% acid solution and a beaker of a 7% solution. He needs to make 75ml of a 4% acid solution.
Amount of solution (ml): x 3% solution + y 7% solution = ---------
Amount of Acid (ml) : _______x + ______y = 0.04(75)
Use the information in the table to write a system of linear equations.
Solve the system of equations to find how much he will use from each beaker.
Click here to see answer by mananth(12270)  |
Question 307943: 6u = -24 i have been told the answer is -18 by taking 6 - 24 u= -18
24u = -96 told to do 24 - 96 = -72 and divide -72 by 18 = -4
Question is where does the 18 in the second question come from, from the question above? why is it not a -18 anymore, as though u = -18
thankyou
Click here to see answer by TX911(36)  |
Question 309282: 3x/6 -4/12 =7 ; -36x +24=-504
In the following pair of equations, both sides of the equation on the left were multifplied by a number to get the equation on the right. What is the number?
I know the answer is -72.
If you could please help me find out how to get that answer that would be so wonderful.
Thank you!!
Click here to see answer by jim_thompson5910(28510) |
Question 309288: I have the correct answer, I just don't know how to get it??
Please help.
Correct answer. 13m + 3=6-8m
Translate the following verbal phrase into a mathematical expression using m for the variable.
3 more than the product of a number and 13 gives 6 decreased by number multiplied by 8.
Click here to see answer by mananth(12270) |
Question 309345: 1.what is the solution of the system of equations?
4x-8y=-4
5x+7y=-22
2.solve the system of euations below by elimination?
2x+y=15
5x-y=13
3.what is the solution of the systen of equations below?
4y-7x=-1
2y+3x=-33
4. give the solution to this system of equations,
2/7x+3/5y=-2
4/7x+1/5y=6
5.use the elimination process to solve the system of equations below,
-3x+5y=12
6x-10y=-21
6.solve the system of equations
5x-2y=11
2x-12=-3y
7.the sum of four times number and six times a second number is 36. the doffrence of five times the second number and thre times the first number is 49. find the numbers
Click here to see answer by nyc_function(2733)  |
Question 309345: 1.what is the solution of the system of equations?
4x-8y=-4
5x+7y=-22
2.solve the system of euations below by elimination?
2x+y=15
5x-y=13
3.what is the solution of the systen of equations below?
4y-7x=-1
2y+3x=-33
4. give the solution to this system of equations,
2/7x+3/5y=-2
4/7x+1/5y=6
5.use the elimination process to solve the system of equations below,
-3x+5y=12
6x-10y=-21
6.solve the system of equations
5x-2y=11
2x-12=-3y
7.the sum of four times number and six times a second number is 36. the doffrence of five times the second number and thre times the first number is 49. find the numbers
Click here to see answer by ichudov(499)  |
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