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Question 29275: At very long hotel in Arnold, MD, there are n rooms located along a very long corridor and numbered consecutively from 1 to n. One night after a party, n people, who have been likewise numbered 1 to n, arrived at this hotel and did as follows: guest 1 opens all the doors. Then guest 2 closed every second door beginning with door 2. Afterwards, guest 3 changed the position of every third door (that is the guest opened the doors that were closed and closed the doors that were open). In a similar way, guest 4 changed the position of doors 4,8,12,.... This process continued until each person had walked the length of the corridor. Of course, the last person, guest n, merely strolled to the end of the corridor, where the guest changed the position of door n. The question is, “Which doors were left open and which ones were left closed at the end of the process?"
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Question 26893: For wat intergral values of n is the expression 1n + 2n + 3n + 4n divisible by 5?
*note n values are writen in superscript*
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Question 25561: 1- Find the mesure of an angle if its measure is 3 degrees less than twice the measure of its supplement

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Question 25097: In a mixture of concrete there are 3lbs of cement mix for every 1lb of gravel. If the mixture contains a total if 140lbs of these two ingredients how many pound of gravel are there?
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Question 20123: I really need help on this problem quickly!!! I'm a AP AB Calculus student, but this extra credit problem is giving me serious issues. I can find one of the two equations and can continue no further! O.k. here it is:

"A Yankee mixes a certain number of wooden nutmegs, which cost him 1/4 cent apiece, with a quantity of real nutmegs, worth 4 cents apiece, and sells the whole assortment for $44; and gains $3.75 by the fruad. How many wooden nutmegs were there?"

I've managed this so far:
x= number of real nutmegs
y= number of fake nutmegs
The cost of the total number of nutmegs is 44 - 3.75, which equals 40.25

0.0025x + 0.04y = 40.25

Since I have two variables I need two equations. I know I need the total number of nutmegs but I don't know how to find it! Please help! It would be greatly appreciated! :)
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Question 65598: A corn mean feed is 10% protein and a feed supplement is 40% protein. How much of each must be conbined to get 2400 pounds of feed that is 19% protein?
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Question 65729: A barrel contains 30 gallons of 40% antifreeze. How many gallons of an 80% antifreeze solution should be added to make the barrel contain 50% antifreeze?
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Question 65810: The volume of a quantity of an ideal gas was held constant. The inital pressure and temperature were 400 torr and 80 K. What would be the final temperature if the final pressure was 300 torr?
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Question 65848: A farmer wants to mix milk containing 6% butterfat with 2 quarts of cream that is 15% butterfat to obtain a mixture that is 12% butterfat. How much milk containing 6% butterfat must he use?
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Question 65890: The Queen Mary is a large cruise ship that has 8,12,700 cubic feet of cargo space. Express this nunmber in scientific notation.
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Question 65890: The Queen Mary is a large cruise ship that has 8,12,700 cubic feet of cargo space. Express this nunmber in scientific notation.
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Question 66077: Elmer and Rosy were playing a game.in each game the loser givesthe winner a marble from the marble jar.When they finished, elmer had won fifteen times and rosy had twenty two more marbles than when she started.How many games did they play?
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Question 66303: Mix a solution that is 50% alcohol with a soution that is 20%to make 450 mL of a aolution that is 40% alcohol. How much of each solutions should you use ?
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Question 66306: A 6-quart cooling system is checked and found to be filled with a solution that is 20% antifreeze. The desired strength of the solution is 60 % antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desired strength?
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Question 66313: Mix a solution that is 30% alcohol with a solution that is 80% alcohol to make 800mL of a soultion that is 60% alcoho. How much of each solution should you use?
Click here to see answer by ankor@dixie-net.com(15649)

Question 66317: mix a solution that is 40% acid with a solution that is 100% water to make 16L of a solution that is 10% acid. How much of each solution should you use?
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Question 66332: The weight of carbon (C) in a quantity of c3h3cl5 was 432 grams. What was the weight of the chlorine (cl) in the compound? (C,12;H,1;Cl,35)
Click here to see answer by venugopalramana(3286)

Question 66436: A 12 quart cooling system is filled with a solution that is 10% antifreeze. The desired strength of the solution is 40% antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desired strength?
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Question 66435: Mix a solution that is 50%alcohol with a solution that is 10% alcohol to make 300 L of a solution that is 30% alcohol. How much of each should you use?
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Question 66467: How much water should be added to 30 gallons of a solution that is 70% antifreeze in order to get a mixture that is 60% antifreeze.
How do I go about setting up this equation? Please help!
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Question 66574: a lab technician 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% clorine?
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Question 66582: A jeweler is using 10 lbs. of an alloy that is 2% robium. He has another alloy which is 5% robium. He wishes to combine these mixtures to form a mixture that is 3% robium. How many pounds of the second alloy should be added to the first to get a mixture that is 3% robium.
I really need help, so I would ask for step by step instructions please.
Thank you.

Click here to see answer by stanbon(57323)

Question 66644: 34. Sleep Deprivation
In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.
(a) Identify the sample used in the study.
(b) What is the sample's population?
(c) Which part of the study represents the descriptive branch of statitics?
(d) Make an inference based on the results of the study?
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Question 66884: How many pounds of a 35% salt solution and how many pounds of a 14% salt solution should be combined so that 50 pounds of a 20% salt solution are obtained?
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Question 66883: A candy store sells boxes of candy containing caramels and chocolates. Each box sells for $12.50 and holds 30 pieces of candy (all pieces are the same size). If the caramels cost $0.25 to produce and the chocolates cost $0.45 to produce, how many of each should be in a box to make a profit of $3.00?
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Question 66951: Florence Flask has 500 grams of a 72% salt solution. How much water must she add to obtain a 25 % salt solution?
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Question 67103: I'm having to do an algebra review to start off the semester. I am able to recall doing these types of problems, but it's been a while. The question is as follows:
Suppose a fuel mixture is 6% ethanol and 94% gasoline. How much ethanol (in gallons) must you add to one gallon of the fuel so that the new fuel mixture is 10% ethanol?
Click here to see answer by Nate(3500)

Question 67414: Michelle had two containers, each containing a mixture of alcohol and disinfectant. One was 40% disinfectant and the other was 80% disinfectant. How much of each should be used to get 600 milliliters of a solution that is 50% disinfectant?
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Question 67408: A recipe calls for 12 ounces of cottage chees and 6 ounces of cream cheese. If there are 216 calories in 8 ounces of cottage cheese and 106 calories in 1 ounce of cream chees, how many calories are there in 36 ounces of the mixture?
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Question 66481: This is for a work seminar I'm involed in. I have solved half the problem....but can't get the last question. My brain is tired....help:)
The Facts: There are five houses.Each house is a different color.Each house is inhabited by people of different nationalities.Each house has a different pet, and the people in each house drink different drinks and smoke different cigarettes.
The clues: 1. The english man lives in the red house.
2. The spaniard owns the dog.
3. Coffee is drunk in the green house.
4. The ukrainia drinks tea.
5. The green house is immediately to the right of the ivory house.
6. The camel smoker owns snails.
7. Kools are smoked in the yellow house.
8. Milk is drunk in the middle house.
9. The norwegian lives in the first house on the left.
10. The man who smokes marlboroughs lives in the house next
to the man with the fox.
11. The lucky strike smoker drinks orange juice.
12. Kools are smoked in the house next to the house where the
horse is kept.
13. The japanese smokes parliaments.
14. The noewegian lives next to the blue house.
The two questions are: Who owns the zebra?
Who drinks water? The answer is the Norwegian
So my question is who of these upstanding, heavy smoking neighbors, keeps a zebra in his yard.......cause I mean...WHO wouldn't want a zebra?:)
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Question 67578: A chemist has 300 milliliters (mL) of solution that is 18%
acid. How many milliliters of acid are in the solution?
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Question 67717: Here is the problem. A parts person has to spend exactly $100 and must buy 100 parts. Good parts cost 5$, regular parts cost 1$, and cheap parts cost 25 cents. He has to buy 100 parts for $100 and have some of each part. I tried the trial and error method and got an answer, but wanted to get an anwer algebraically, (sp?)
I tried: 5x + y + .25z = $100
x + y + z = 100 and substituting variables but could not get it to work. I appreciate your help.
George
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Question 67768: At a local community college, five statistics classes are randomly selected and all of the students from each class are interviewed. What sampling tecnique is used?
a. stratified
b. cluster
c. convenience
d. random
e. systematic
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Question 67819: A liter of cream has 9.2% butterfat. How much skim milk containing 2% butterfat should be added to the cream to obtain a maxture of 6.4% butterfat?
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Question 67898: How many gallons of a 5% acid solution must be mixed with 5 gal of a 10% solution to obtain a 7% solution?
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Question 68002: Dimitruis skipped lunch today to get some sun in the school courtyard. Lying on the grass and looking up at an angle of 22 he could see the top of the flagpole which was about 100 ft away. How tall is the flagpole?

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Question 68112: Bob needs to buy 5 pounds of candy. one kind costs 1.75 per pound and the second kind costs 2.35 per pound. How much of each will he need if he spends 10.00?
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Question 68196: An 800 g solution of acid and water contains 128 g of acid. What percent of the solution is acid?
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Question 68320: An oil company wants to mix two grades of rocket fuel costing $3 and $4 per gallon,respectively with purified ethanol costing $8 per gallon to obtain 140 gallons of hybrid fuel costing NASA $6 per gallon. If the oil company also wants the amount of lower grade fuel to be twice that of higher-grade rocket fuel,how many gallons of each variety of fueling product should be mixed?
- define your unknowns in terms of x,y etc.
-write down a linear function of equations representing the information given

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Question 68521: How many pounds of peanuts costing $2.00 a pound should be mixed with a 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.00 a pound?
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Question 68592: Please help to solve
One solution was 10% alcohol and the other was 30% alcohol. HOw much of each should be used to get 200 gallons of a solution that is 17% alcohol?
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Question 68704: one grade of oil has 0.50% of an additive, and a higher grade has .75% of the additive. How many liters of each must be used to have 1000L of a mixture with 0.65% of the additive?

I tried to set up a chart but I'm having problems figuring out how to set up this problem.
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Question 68762: 1. How many liters of a 50% solution should be added to a 80% solution to obtain a 60% solution?
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