Questions on Word Problems: Mixtures answered by real tutors!

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Question 8101: bill invested $30,000 in two seperate accounts paying 3% and 4.1% annual simple interest. if bill earned a total of of $1091.73 from the two investments, how much was invested in each account.
I have no clue how to come up with the equation of this problem. The instructions say to find the equation for this investments problem andsolve it.

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Question 8146: Use 8 9s to reach a sum of 1125. My daughter has struggled with this for hours. SO HAVE I. Please help quick
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Question 8175: a mississippi riverboat can travel 75 kilometers downstream in three hours and can make the return trip in five hours. find the speed of the boat in still water.
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Question 8422: I have no idea how to solve this problem
The cooling system on a truck contains 5 gallons of coolant that is 40% antifreeze. How much must be withdrawn and replaced with %100 antifreeze to bring the mixture to 50% antifreeze?

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Question 8504: how many gallons of salt must be added to 40 gallons of a 20% salt sollution in order to get a 30% sollution
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Question 8643: a chemist has one solution that is 60% chlorinated and another that is 40% chlorinated. How much of each solution is needed to make a 100 L solution that is 50% chlorine?

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Question 8906: use definitions or identites to find the exact value of the remaining 5 trig functions.
1. sin=(sqrt3)/4
2. cot=1/2
3. csc=5
4. sec = 5/3
5. cot=2
Thank you so much!!

Click here to see answer by Abbey(339) About Me 

Question 9442: a test solution of gasohol contains 60L of gasoline and 15L of alcohol. How much pure alcohol must be added so that the resulting solution is 25% alcohol?
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Question 9829: A man weights 5/6 of his weight plus 30 pounds. How much does he weight?
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Question 9859: What would a written expression to represent the perimeter of a rectangle be?

2x-7 for the width
3x center
x heigth

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Question 10267: Heavy cream, which is 30% butterfat, and lowfat milk, which is 2% butterfat, are added together to make 100 gallons of regular milk, which is 4% butterfat. How much of cream and low fat milk should be used?
This is what I have set up (i don't know if it's right...):
.30x + .02y = .04(100)

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Question 10331: How much water should be added to 20 ounces of a 15% solution of alcohol to dilute it to a 10% solution?
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Question 10552: Are there key factors to observe when solving word problems?
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Question 10597: I believe this is a slope intercept type of word problem.
A small business predicts its revenue growth by a straight-line method with a slope of $50,000 per year. In its fifth year, it had revenues of $330,000. Find an equation that describes the relationship between revenues, R, and the number of years, T, since it opened for business.
How do I set this up? What answer did you get?

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Question 10912: This word problem has me stumped. Can you help?
How much water must be evaporated from 240 gallons of a 3% salt solution to
produce a 5% salt solution?

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Question 11146: A snack food is made by mixing 5 lb of popcorn that costs $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 per pound?
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Question 11338: How many pounds of candy selling for $5.80 per pound should be mixed with 7 punds of candy selling for $2.40 per pund to obtain a mixture for $3.42 per pound?
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Question 11326: How many pounds of candy selling for $5.80 per pound should be mixed with 7 pounds of candy selling for $2.40 per pound to obtain a mixture selling for $3.42 per pound?
Click here to see answer by longjonsilver(2297) About Me 

Question 11749: I am truly stumped with this one.
An alloy weighing 20 kg is 30% copper. How many kg of another alloy, which is 80% copper, must be added in order to produce an alloy which is to be 50% copper?

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Question 11889: Pleased help me sir....
How many grams of an alloy containing 35% nickel must be melted with an alloy containing 65% nickel in order to obtain 20 grams of an alloy containing 41% nickel?

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Question 12332: A 100% concentrate is to be mixed with having a concentration of 40% to obtain 55 gallons of a mixture with a concentration of 75%. How much of the 100% concentrate will be needed?
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Question 12349: A consumer goods manufacturer wanted to blend two grades of coffee, one costing $1.50 per kg., the other 200 kg. costing $1.90 per kg., to be sold off at $1.60 per kg. How much coffee costing $1.50 per kg. would be needed?
This is a new lesson. Please help solve this problem.

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Question 12470: how much water must be evaporated from 32 ounces of a 4% salt solution to produce a 6% salt solution?
Click here to see answer by Earlsdon(6294) About Me 

Question 12568: This is the question: A chemist wants to mix 46% and 56% alcohol solutions to make 40 liters of 47% alcohol solution. How many liters of 46% alcohol solution is necessary?(Please Help)
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Question 12601: How many gallons of pure antifreeze must be added to 20 gallons of 25% antifreeze to get a mixture that is 40% antifreeze
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Question 13280: How many kilos are in a ton?
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Question 13262: How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze?
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Question 13411: Could you please help me with this problem? It looks like Greek to me.
The numberof parts per million of nitric oxide emissions y from a certain car engine is approximated by the model y=-5.05x^3+3857x-38411.25 (13

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Question 13737: how many metric tons of chromiun must be added to 2.50 metric tons of stainless steel to raise the percent chromium from 11% to 18%
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Question 13722: I've tried to understand this question but it doesn't seem as if they have given enough information....
If 1 quart of orange juice concentrate is added to 4 qt of a solution that is 20% concentrate in water, what is the percent of concentrate in the new solution?

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Question 13714: What is the strength of a salt solution that contains 12 gallons of salt and 18 gallons of pure water?
gal. salt gal water
12 18

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Question 10375: A box of pancake mix containing 2 1/4 pounds cost $2.79. What is the cost per pound?
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Question 14323: okay here is the question...Ticket sales for the band concert totaled $1200. The adult tickets were $2 each. Student tickets were $1 each. There were twice as many adults tickets sold as student tickets. How many of each kind were sold?
i need to see how you got the answer

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Question 14307: How many liters of a 10% alcohol solution must be added to 80 liters of a 30% alcohol solution to obtain a 15% alcohol solution? Please Help!!!
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Question 14427: The total cost of 8 gallons of regular unleaded gasoline and 12 gallons of premium unleaded is $27.84. premium unleaded gasoline costs $0.17 more per gallon than regular unleaded. Find the price per gallon for each grade of gasoline. Please show how to set this equation up and answer it.
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Question 14581: if a piece of equipment is making 1 complete revolution every 15 seconds what is the rpm? (revolution per minute)?
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Question 14583: knowing 1,000 grams = 1 kilo. you are feeding a material to a piece of equipment at the rate of 200 grams every 30 seconds.how many kgs.(kilos) per hour are you feeding?
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Question 14619: I need help with this problem. Premium coffee sells for $6.00 per pound and regular coffee sells for $4.00 per pound. How many pounds of each type of coffee should be blended to obtain 100 pounds of a blend that sells for $4.64 per pound.
Heres what I was doing but I am getting confused.
6(100) + 4x = 4.64(100-x)
600 + 4x =4.64 - 4.64x
8.64x= -136
I think I have messed up somewhere.

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Question 15270: Bob has twice as much money as Anthony.
Anthony has $7 more than Lisa.
Together they have $73.
How much does each have?

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Question 15294: If a plumber charges $110 for 3 hours and $160 for 5 hours. In keeping this rate how much will he charge for 8 hours?
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Question 15293: How many liters of antifreeze must be added to 5 liters of water to make no less than a 60% solution and no more than an 80% solution?
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Question 15639: This problem has me stumped bcause I have 8 ounces already mixed and need to add to it to get 12 ounces. If I was just adding enough chocolate syrup to make it 42 percent, I would not be so confused. Here is the problem:
I want to make the perfect 12 ounce cup of chocolate milk. It requires that the mixture is 42% chocolate syrup. What I have right now is 8 ounces of milk/syrup mixture that I know contains 30% syrup. What must the syrup concentration be in the remaining mixture that I must add in order to achieve perfection?

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Question 15837: 400 tickets were sold to a ballgame. Adult tickets were $2, Child tickets were $3. Tickets sold totaled $1050. How many of each ticket were sold.
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