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Probability-and-statistics/361581: 1. –/2 points Notes
Problem 7-22 A food-packaging apparatus underfills 20% of the containers. Find the probability that for any particular 10 containers the number of underfilled will be:
Note: This question uses a tolerance of .0001 for grading. Make sure your answers are entered to the fifth decimal place.
Example: .00123
(a) exactly 2
Pr=
(b) exactly 5
Pr=
(c) exactly 8
Pr=
(d) at least 3
Pr=

2. –/2 points Notes
Problem 7-24 Suppose that 30% of the applicants to an engineering school are women. An admissions committee reviews applications in groups of 100. Find the probability that the number of women in the next group is:
Note: This question uses a tolerance of .0001 for grading. Make sure your answers are entered to the fifth decimal place.
Example: .00123
(a) less than or equal to 21
Pr=
(b) between 25 and 40 inclusively
Pr=
(c) greater than 30
Pr=
(d) less than 7
Pr=
(e) exactly 30
Pr=
(f) greater than 54
Pr=

3. 0/2 points All Submissions Notes
Problem 7-28 A student selects his answers on a true/false examination by tossing a coin (so that any particular answer has a .50 probability of being correct). He must answer at least 70% correctly in order to pass. Find his probability of passing when the number of questions is
(a) 10
Pr=210
(b) 20
Pr=
(c) 50
Pr=
(d) 100
Pr=

4. –/2 points Notes
7.30 A quality-control inspector rejects any shipment of printed circuit boards whenever 3 or more defectives are found in a sample of 20 boards tested. Find the (1) expected number defective and (2) the probability of rejecting the shipment when the proportion of defectives in the entire shipment is
(a) Proportion of Defectives=0.01
Expected Number Defective=
Probability of Rejecting the Shipment=
(b) Proportion of Defectives=0.05
Expected Number Defective=
Probability of Rejecting the Shipment=
(c) Proportion of Defectives=0.1
Expected Number Defective=
Probability of Rejecting the Shipment=

5. –/2 points Notes
Problem 7-32 An engineer has designed a modified welding robot. The robot will be considered good enough to manufacture if it misses only 1% of its assigned welds. And it will be judged a poor performer if it misses 5% of its welds. (In-between possibilities are not considered.) A test is performed involving 100 welds. The new design will be accepted if the number of missed welds R is 2 or fewer and rejected otherwise.
(a) What is the probability that a good design will be rejected?
Probability=
(b) What is the probability that a poor design will be accepted?
Probability=
1 solutions

Answer 257777 by solver91311(16885) About Me  on 2010-10-25 19:19:30 (Show Source):
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The probability of someone helping you when you dump your whole homework assignment into one post is very small.

Read the instructions for posting. One question per post. Also, tell us specifically what is giving you trouble and show the work you have done so far. We put into this an amount directly proportional to what you put in.

John

My calculator said it, I believe it, that settles it
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Travel_Word_Problems/361596: it took sue one hour to run three miles, how long will it take for her to run five miles?
1 solutions

Answer 257776 by solver91311(16885) About Me  on 2010-10-25 19:13:18 (Show Source):
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If it takes 1 hour to run 3 miles, then she is running 3 miles per hour (hence the name).

Use



But written

hours.


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Probability-and-statistics/361590: Assuming a normal distribution, what is the z-score associated with the 99th percentile?
1 solutions

Answer 257775 by solver91311(16885) About Me  on 2010-10-25 19:11:13 (Show Source):
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The z-value of 2.33 corresponds to a value of x on this normal curve such that 99% of all possible values of X will be less than said x value. Symbolically: P(X < x) = .99

John

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The Out Campaign: Scarlet Letter of Atheism




Radicals/361584: square root of y+6-3=1
1 solutions

Answer 257772 by solver91311(16885) About Me  on 2010-10-25 19:06:05 (Show Source):
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Presuming you mean



Add 3 to both sides.

Square both sides.

Add -6 to both sides.


John

My calculator said it, I believe it, that settles it
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Graphs/361583: solve for y
2y-8x=-12
1 solutions

Answer 257770 by solver91311(16885) About Me  on 2010-10-25 19:04:08 (Show Source):
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Add 8x to both sides.

Multiply both sides by 1/2.


John

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test/361546: Please help me solve this equation: Evaluate the following limits or explain why they do not exist.
a. +lim%28x-%3E0%2C+%28xcosx-sinx%29%2Fx+%29+
b. +lim%28x-%3Einfinity%2C+%28e%5Ex-2%5Ex%29%2Fx+%29+
c. +lim%28x-%3E1%2C++%28x%2F%28x-1%29+-+%281%2Flnx%29+%29+%29+
1 solutions

Answer 257769 by solver91311(16885) About Me  on 2010-10-25 19:01:38 (Show Source):
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This is the indeterminate form

so apply L'Hôpital's Rule:




Using the Product and Sum rules on the numerator:



b. Works the same way.

c. You need to combine the two fractions so that you will have a indeterminate form.

John

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Linear-equations/361553: Is this equation linear?
2x=4y
1 solutions

Answer 257757 by solver91311(16885) About Me  on 2010-10-25 18:31:39 (Show Source):
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linear equation
noun
An algebraic equation in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables.

John

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Money_Word_Problems/361526: Find the present value of $30000 due 17 years later at 6.1%, compounded continuously.
1 solutions

Answer 257750 by solver91311(16885) About Me  on 2010-10-25 18:17:27 (Show Source):
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Solve for Present Value:



Just plug in the values and start punching your calculator.

John

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Graphs/361529: sketch the graph of 2x-3y<6
1 solutions

Answer 257742 by solver91311(16885) About Me  on 2010-10-25 18:07:40 (Show Source):
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Graph the line but graph it as a dashed line. Substitute the coordiates of the origin (0,0) into the original inequality. If the result is a true statement, shade in the half-plane that contains the origin. If the result is false, shade in the other side of the line.


John

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The Out Campaign: Scarlet Letter of Atheism



Equations/361520: The largest ranch in the world is in the Australia Outback. It is about 12,000 square miles, which is five times the size of the largest United States ranch. Write and solve an equation to find the size of the largest United States ranch.

How do I come up with an equation and solve it to find the size of the largest United States ranch??
Please Help ME!!
1 solutions

Answer 257739 by solver91311(16885) About Me  on 2010-10-25 18:04:41 (Show Source):
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Let represent the size of the US ranch. Then the size of the Australian ranch is . Thus:



John

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Numbers_Word_Problems/361522: Translate into equations and solve.
1.Six more than nine times a number is the same as two less than ten times the number.What is the number?
2.A pro shop in a bolwing alley drops the price of bowling balls 24% to a sale price of $34.20.What was the former price?
3.An appliacne store drops the price of a certain type of tv 18% to a sale price of $410.What was the former price?
-please show as much work as you can to help me understand what you are doing.
-Thank you
1 solutions

Answer 257737 by solver91311(16885) About Me  on 2010-10-25 17:59:49 (Show Source):
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Repost your request -- one question at a time per the rules of the site.


John

My calculator said it, I believe it, that settles it
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Travel_Word_Problems/361495: Can you help with the following question? I think it needs to be laid out in table form first. I'd be grateful for detailed explanation. Thank you.
Natalie spent $135 on new shorts and tops. The shorts were 15% off and the tops were 20% off. If she saved a total of $24, how much did she spend on tops?
1 solutions

Answer 257734 by solver91311(16885) About Me  on 2010-10-25 17:58:28 (Show Source):
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Let represent the original cost of the shorts. Let represent the original cost of the tops.

Then the amount saved on shorts would be and the amount saved on tops would be . Likewise, the amount spent on shorts would be and the amount spent on tops . So we can write:



and



Multiply the first equation by -4 and then add the equations:



Solve for



Substituting in Equation 1 and solving for



Which was the cost of the tops at regular price, hence she spent:



Sounds like a fire sale at Ross to me.

John

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Triangles/361494: The leg of a right triangle is 12 and the hypotenuse is 30 cm. What is the length of the other leg?
1 solutions

Answer 257725 by solver91311(16885) About Me  on 2010-10-25 17:28:53 (Show Source):
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Remember Mr. Pythagoras who said that for a right triangle with legs and , the measures of the legs and the hypotenuse ( ) are related thus:



For your situation, since you know one leg and the hypotenuse:



Just plug in your numbers and do the arithmetic.

John

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The Out Campaign: Scarlet Letter of Atheism



Graphs/361484: When solving for slope (y2-y1)/(x2-x1), the answer is 10/0. How is this expressed?
1 solutions

Answer 257724 by solver91311(16885) About Me  on 2010-10-25 17:24:50 (Show Source):
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Anything with a zero denominator is undefined. Therefore the slope is undefined. (You have a vertical line)

John

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Travel_Word_Problems/361489: Two trains are on the same track heading straight for each other. One train is traveling at 60 miles per hour while the other train is traveling at 45 miles per hour. If the trains are notified two minutes before they collide, they can avoid the accident. How far apart will the trains be two minutes before the point of impact?

1 solutions

Answer 257723 by solver91311(16885) About Me  on 2010-10-25 17:22:47 (Show Source):
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Hint: How far can you travel in 2 minutes at 105 miles per hour?

Hint #2: 105 miles per hour is miles per minute.

John

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Percentage-and-ratio-word-problems/361488: Samuel had 48 marbles. He lost thirty-seven and a half of them. How many marbles had he left?
1 solutions

Answer 257722 by solver91311(16885) About Me  on 2010-10-25 17:17:03 (Show Source):
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The person that wrote this question has lost all of his/her marbles. How would you lose half of a marble?



John

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Rational-functions/361475: How can I find out if f(x)=6x+2 and g(x)=x-1/3 are inverse functions?

1 solutions

Answer 257721 by solver91311(16885) About Me  on 2010-10-25 17:14:34 (Show Source):
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Start with



Replace with



Solve for in terms of





Exchange positions of and



Replace with



Note that is not equivalent to . Therefore is not the inverse of

John

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Probability-and-statistics/361454: PLEASE HELP!!!!
In the U.S, 40% of the population have brown eyes. If 14 people are randomly selected, find the probability that at least 12 of them have brown eyes.
Show your work.
1 solutions

Answer 257719 by solver91311(16885) About Me  on 2010-10-25 16:49:14 (Show Source):
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You want the probability of at least 12 successes out of 14 trials where the probability of success on one trial is 0.4.

The probability of exactly successes in trials where is the probability of success on any given trial is given by:



Where is the number of combinations of things taken at a time and is calculated by

To get the probability of "at least" some number of successes, then you need to sum the probability of that number of successes plus "that number plus 1" successes plus "that number plus 2" successes...up to the total number of trials :



Which expands to:




You have some calculator button punching to do.

John

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Trigonometry-basics/361448: find all the angles x between 0 degrees and 360 such that 5 sin x=2
1 solutions

Answer 257715 by solver91311(16885) About Me  on 2010-10-25 16:35:36 (Show Source):
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in QI and QII, hence:



Or





John

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Numbers_Word_Problems/361444: The first number is two more than the second number. When I add two times the first number to five times the second I get 25
1 solutions

Answer 257713 by solver91311(16885) About Me  on 2010-10-25 16:27:50 (Show Source):
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Let represent the first number. Then must represent the second number. Then we are given:



Solve for .

John

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Linear-equations/361443: find the slope if it exists of the line containing the pair of points (1,5) and (3,-6)
1 solutions

Answer 257710 by solver91311(16885) About Me  on 2010-10-25 16:22:01 (Show Source):
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Use the slope formula:



where and are the coordinates of the given points.

Note that the slope exists as long as the denominator is not zero. The only way for the denominator to be zero is if the -coordinates of the two points are equal.

John

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Rational-functions/361318: What is point-slope form of an equation of the line through the points (–3, 8) and (7, 6). Use (–3, 8) as the point for the equation.
1 solutions

Answer 257669 by solver91311(16885) About Me  on 2010-10-25 13:37:33 (Show Source):
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Use the two-point form of an equation of a line to derive an equation for the desired line:



where and are the coordinates of the given points.

Once you have made the appropriate substitutions and done the indicated arithmetic, rearrange your equation into slope-intercept () form by solving for

John

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Polynomials-and-rational-expressions/360202: I am having trouble with my MAT 117 Appendix C. This is what I have so far. Could someone let me know if I am correct.
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose that a market research company finds that at a price of p = $40, they would sell x = 22 tiles each month. If they lower the price to p = $20, then more people would purchase the tile, and they can expect to sell x = 32 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Slope=rise/run
=(22,40),(32,20)
=m=y2-y1
x2-x1
=m=20-40 = -20 =-2
32-22 10
P-p1=m(x-x1)
P-40=-2(x-22)
P-40=-2x+22
P=-2x+62
A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
R=-x(2x+62)
R=-2x2 +62x
The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $200, and the supplier’s cost for a set of tile is $34 each. Let x represent the number of tile sets.

c. If b represents a fixed cost, what value would represent b?
The fixed costs are $200.
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
C=34x+200
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.
P=-2x2+62x-(34x+200)
P=-2x2+62x-34x-200
P=-2x2 +28x-200

f. What is the profit made from selling 10 tile sets per month?
P=-2x2 +28x-200
P=-2(10)2 +28(10)-200
P=480
g. What is the profit made from selling 12 tile sets each month?
P=-2x2+28x-200
P=-2(12)2 +28(12)-200
P=712
h. What is the profit made from selling no tile sets each month? Interpret your answer.
Plug in 0;
P=x2+28x-200
P=02+28(0)-200
P=-200
These are the fixed costs that have to be paid regardless of sales.
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
P=-2x2 +28x-200
P=-2(12)2+28(12)-200
P=712
They should sell 12 to make the most profit.
j. How much profit would you earn from the number you found in part i?
The profit is $712 when they sell 12.
k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)?
Remember the demand function:
P=-2x+62
P=--2(12)+62
P=$38

2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values.
P=-2x2+28x-200
0=-2x2+28x-200
0=-2(0)2 +28(0)-200
P=-200
3. In 2004, Home Depot’s sales amounted to $73,100,000,000. In 2006, its sales were $90,800,000,000.
a. Write Home Depot’s 2004 sales and 2006 sales in scientific notation.
You can find the percent of growth in Home Depot’s sales from 2004 to 2006, follow these steps:
• Find the increase in sales from 2004 to 2006.
• Find what percent that increase is of the 2004 sales.
b. What was the percent growth in Home Depot’s sales from 2004 to 2006? Do all your work by using scientific notation.
(source: Home Depot Annual Report for FY 2006: http://www6.homedepot.com/annualreport/index.html)
4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 18 feet across and 6 feet tall (see figure). How long should the pieces of PVC plumbing pipe be? Round your answer to the nearest hundredth.


1 solutions

Answer 257014 by solver91311(16885) About Me  on 2010-10-22 15:36:48 (Show Source):
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Sorry, pal...one problem per post.

a. Suppose that a market research company finds that at a price of p = $40, they would sell x = 22 tiles each month. If they lower the price to p = $20, then more people would purchase the tile, and they can expect to sell x = 32 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Slope=rise/run
=(22,40),(32,20)









So far, so good, but then you wrote:



No! No! No! Use the distributive property:



Then



Post your other problems separately.

John

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Angles/360205: hi, um i am having trouble trying to figure out how to set a problem up on my homework. it is a worksheet on finding measure hidden in transversals.
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Answer 257012 by solver91311(16885) About Me  on 2010-10-22 15:27:22 (Show Source):
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Write out the problem, including a total unambiguous description of your diagram, and someone will be able to help you. Other than that, we can't guess what you want.

John

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percentage/360207: can i get help to study for asvab ?
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Answer 257011 by solver91311(16885) About Me  on 2010-10-22 15:25:16 (Show Source):
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Not here. You can buy ASVAB study guides at places like Borders or Barnes & Noble, or on line at Amazon.com, etc. Not that they will help a whole lot. The time to begin studying for your ASVAB or any other examination like it is your first year of elementary school. I suspect you have let that deadline come and go. Good luck.

John

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Linear_Algebra/360199: For each line use the given conditions to write an equation in the point-slope form first and then rearrange the values into the slope-intercept form.

l. Slope=4, passing through(1,3)
ll. Slope= 8, passing through (4,-1)
lll. Slope= -5 passing through(-4,-2)
lv. Slope= -2, passing through (0,-3)
1 solutions

Answer 257010 by solver91311(16885) About Me  on 2010-10-22 15:19:52 (Show Source):
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Use the point-slope form of an equation of a line:



where are the coordinates of the given point and is the given slope.

Once you have made the appropriate substitution of values and done the indicated arithmetic, rearrange the equation to be in slope-intercept form, namely:



John

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Miscellaneous_Word_Problems/360198: I think I have the answer to this but not sure how to write it out. Ace Hardware sells boxes of wrenches ($100) and hammers ($300). Howard ordered 40 boxes of wrenches and hammers for $8,400. How many boxes of each are in the order? I came up with 22 boxes of hammers and 18 boxes of wrenches. But have no idea how to show the work. Thank you!
Also is there a way on this site to type in a question and see if someone else may have asked the same question?
1 solutions

Answer 257009 by solver91311(16885) About Me  on 2010-10-22 15:01:56 (Show Source):
You can put this solution on YOUR website!


Let represent the number of boxes of wrenches. Then, since there are a total of 40 boxes of tools, the number of boxes of hammers has to be .



Do yourself a favor and simplify your arithmetic:



Solve for and then compute

And the answer to your other question is yes. Go to the Algebra.com home page. Then use the little Google Search box and search for some key words in your problem. You will have to do a little digging, but you will get there. The probability that your problem (or one so close to it that the difference is barely noticable) has NOT been done already is miniscule. We've seen them all (or very nearly so).

John

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Mixture_Word_Problems/360158: How do I set this up and can you show me how to do it with the answer?
A chemist needs 140 milliliters of a 35% solution but has only 23% and 65% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
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Answer 257006 by solver91311(16885) About Me  on 2010-10-22 14:44:48 (Show Source):
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Let represent the amount of 23% solution. Then represents the amount of 65% solution.

ml

represents the amount of pure whatever it is that is contained in the 23% solution.

ml

represents the amount of pure whatever in the 65% solution.

ml

represents the amount of pure whatever in the resulting 140 ml of 35% solution, so:



Solve for . Then compute .

John

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Money_Word_Problems/360177: A COMPANY MAMNAGES AN ELECTRONIC EQUIPMENT STORE AND HAS OREDERED 200 REMOTE CONTROLLED COLOR TVS FOR A SPECIAL SALE. tHE LIST PRICE FOR EACH TV IS 215 WITH A TRADE DISCOUNT SERIES OF 7/8/2. fIND THE NET PRICE OF THE ORDER BY USING THE NET DECIMAL EQUIVALENT
1 solutions

Answer 257001 by solver91311(16885) About Me  on 2010-10-22 14:14:33 (Show Source):
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Sorry, can't help you. I can't understand you when you shout. Repost your question after you learn to type with the Caps Lock off. Thanks.

John

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Mixture_Word_Problems/360182: HOW MANY ML OF WATER MUST BE MIXED WITH 40% SOLUTION TO MAKE A 6OZ OF A 25% SOLUTION?

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Answer 257000 by solver91311(16885) About Me  on 2010-10-22 14:11:30 (Show Source):
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Don't know. I can't understand you when you shout. Repost after you learn to type with the Caps Lock off.

John

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Travel_Word_Problems/360183: A freight train and an express train leave towns 390km apart, traveling toward one another. The freight train travels 30km per hr slower than the express train. They pass one another 3 hr later. What are their speeds?
1 solutions

Answer 256999 by solver91311(16885) About Me  on 2010-10-22 14:09:44 (Show Source):
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In order to travel 390 km in 3 hours, the combined speed of the two trains has to be 390 divided by 3 equals 130 kilometers per hour. So:



Solve for and then compute

John

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