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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 178255: A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to 54,150 . The variable costs will be 12.50 per book. The publisher will sell the finished product to bookstores at a price of $25.00 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales?
Click here to see answer by ankor@dixie-net.com(6691)   |
Question 178471: please help with this question - it is from a review page my teacher made up.
White vinegar is available as a 5% acetic acid solution and a 10% acetic solution, by volume. How many millilitres of each solution must be mixed to make 100mL of a 7% solution.
I tried: Let x represent the amount of 5% vinegar.
Let y represent the amount of 10% vinegar.
These are the 2 equations I came up with, but my answer came out wrong.
x+y=100
100=x(0.05)+y(0.01)
The correct answer is supposed to be 60mL of 5% solution and 40mL of 10% solution.
Click here to see answer by Mathtut(3670)  |
Question 178471: please help with this question - it is from a review page my teacher made up.
White vinegar is available as a 5% acetic acid solution and a 10% acetic solution, by volume. How many millilitres of each solution must be mixed to make 100mL of a 7% solution.
I tried: Let x represent the amount of 5% vinegar.
Let y represent the amount of 10% vinegar.
These are the 2 equations I came up with, but my answer came out wrong.
x+y=100
100=x(0.05)+y(0.01)
The correct answer is supposed to be 60mL of 5% solution and 40mL of 10% solution.
Click here to see answer by Alan3354(6059)  |
Question 178564: You have $500,000 in an IRA when you retire. You have the option of investing this money in two funds. A Plan pays 5.2% annually, B Plan pays 7.7% annually.
How should you divide your money between Plan A & Plan B to produce an annual interest income of $34,000?
This is what I have come up with so far:
Plan A + Plan B = $34,000
Plan A = 5.2%
Plan B = 7.7%
IRA =$500,000
Then I'm not sure here what to do next?
Click here to see answer by Mathtut(3670) |
Question 178589: 10.48 From her firm’s computer telephone log, an executive found that the mean length of 64 telephone calls during July was 4.48 minutes with a standard deviation of 5.87 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 48 telephone calls whose mean was 2.396 minutes with a standard deviation of 2.018 minutes.
(a) State the hypotheses for a right-tailed test.
(b) Obtain a test statistic and p-value assuming unequal variances. Interpret these results using α = .01.
(c) Why might the sample data not follow a normal, bell-shaped curve? If not, how might this affect your conclusions?
Thank you, Stan
Click here to see answer by stanbon(26259) |
Question 178909: Dear Sir
I would be glad if you can help me to resolve the below problems that has been bothering me for awhile.
Thanks Jackie King
e-mail address; smsltd@starhub.net.sg
1) Jane had 156 red and yellow beads in the ratio 7:6. After she gave away an equal number of each type of bead, the number of red and yellow beads left was in the ratio 7:3.
(a) Did the fraction of the red beads that Jane had increases, decreases, or remain the same?
(b) How many beads did she give away altogether?
2) In Mariam’s aquarium there are swordtails and guppies, 25% of the fishes are swordtails. She then buys an equal number of swordtails and puts them into the aquarium.
(a) Will the percentage of fishes in the aquarium which are guppies increases, decrease or remain the same?
(b) What percentage of the fishes will be guppies?
My queries in the above the two questions are:
In question 1 (a) does the ‘fraction’ asked refers to the new base after “she gave away an equal number of each type of bead “ or referring the same base before giving away. If the answer is related to the new base then my question is how we can compare two fractions coming from different wholes; I could not find any mathematical meaning in this situation.
Similar query in question two in which I wonder which ‘whole’ the question refers to; before or after. In addition, the quantity “an equal number of swordtails” refers to the same amount of 25% of the fishes.
Lastly, what principles do the examiner what to test in the above two questions.
I would appreciate very much if you would provide me the method how you would work the solutions to the above questions.
Furthermore, what happen if we keep increasing or increasing the “equal amount to put in or taken away”? Is there some kind of relationship that we can deduce from these two problems?
Click here to see answer by ankor@dixie-net.com(6691) |
Question 179159: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice. Please help!!! I'm having the hardest time with this. Thanks
The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
Click here to see answer by edjones(3292)  |
Question 179540: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equations with two variables, and solving the equations by either the addition method or the substitution method
Instructions
you must define the variables, create two equations, then solve those two equations using algebraic methods of addition or substitution.
Click here to see answer by nerdybill(2446)  |
Question 179670: At he sound of an explosion Eleanor ran east at 250 metres per minute. Rudy regained consciousness 4 minutes later and began to run after Eleanor at 300 metres per minute.
Write the distance versus time equation for each of the runners.
Click here to see answer by Mathtut(3670) |
Question 179749: Radius of a sphere. The radius of a sphere is given by the formula r= (0.75v)^1/3
pi
Where V is it volume. Find the radius of a spherical tank that has a volume of 32pi cubic meters
3
V=4pi*r^3
32pi = 4pi*r^3 = 8=r^3
3 3 3 3
r^3=8 r= 2 cubic meters
Is this correct? thanks in advance, judy
Click here to see answer by Mathtut(3670) |
Question 179976: Car rental company charges $39.99 per day. The first 50 miles are free, but there there is a charge of $0.28 per mile after 50 miles.
I need to write an inequality to determine the greatest number of miles that you can drive for $55 or less.
I don't know how to begin to write this inequality. Can you help me?
Thanks
Click here to see answer by Mathtut(3670) |
Question 180084: I have a question about discriminant and quadratic equations. Can anyone answer the below question?
"You have a good description of the discriminant, explaining that it does come from the quadratic formula. Why do you think it works? By this I mean for example, why when it is greater than 0, will you have two real number solutions"?
Click here to see answer by stanbon(26259) |
Question 180188: A home-made lefsa enterprise estimates that they can sell 30 dozen lefsa at $3.00 per dozen and 25 dozen lefsa at $4.00 per dozen. write a linear equation for the amount of lefsa sold in terms of the price per dozen. use your equation to approximate the amount of lefsa sold at $5.00 per dozen.
thanks for helping me on this!!
Click here to see answer by stanbon(26259) |
Question 180188: A home-made lefsa enterprise estimates that they can sell 30 dozen lefsa at $3.00 per dozen and 25 dozen lefsa at $4.00 per dozen. write a linear equation for the amount of lefsa sold in terms of the price per dozen. use your equation to approximate the amount of lefsa sold at $5.00 per dozen.
thanks for helping me on this!!
Click here to see answer by solver91311(5072)  |
Question 180629: Hi can you please help with this I am not getting it.
Melanie can paint a certain barn by herself in x days. Her helper melissa can paint the same barn by herself in 2 xdays. write a rational expression for the fraction of the barn that they complete in one day by working together. evaluate the expression for x=5
Click here to see answer by ankor@dixie-net.com(6691) |
Question 180660: The number (C) of U.S Supreme Court cases on docket from 1996 to 2001 can be approximated by the linear equation:
C= 344.3t + 5400, 6<_t <_11
where t is the year, with t=6 corresponding to 1996. If this linear pattern continues, in what year will the number of U.S. Supreme Court cases reach 11,000?
Please help. I don't even know where to start! Thanks.
Click here to see answer by Fombitz(2113)  |
Question 181182: there are 810 dishes that need to be rinsed. john can rinse them in 135 minutes by himself it will take his friend bob 90 minutes to rinse these dishes how lomg will it take them if they rinse the 810 dishes together?
Click here to see answer by stanbon(26259) |
Question 181315This question is from textbook Teaching Textbooks
: Edwin can drop a piece of luggage off the top of headquarters and then record the results once every 4 minutes. Hewitt can do the same every 5 minutes. How many minutes will it take them together to drop their luggage and record the results a (combined) total of 18 times?
I tried this equation where x= minutes
5x + 4x = 18x
My problem is that the x's don't seem to have the same value. I think I need to find out how many tries they each need and multiply that by the minutes, but I don't see how I can tell how many tries they each need!
Thanks for helping!This question is from textbook Teaching Textbooks
Click here to see answer by Alan3354(6059) |
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