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# Recent problems solved by 'josmiceli'

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 Quadratic_Equations/353639: The president of a company producing water pumps has gathered data suggesting that the average cost in dollars of producing x units per hour of a new style of pump will be c(x)=x^2-22x+166. Determine the number of pumps per hour to produce to keep the average cost below \$75 per pump. 1 solutions Answer 252745 by josmiceli(9664)   on 2010-10-08 14:01:49 (Show Source): You can put this solution on YOUR website! The average cost to produce pumps is Note that to produce pumps still costs \$166 You want to find when Note that \$75 is cost per pump, and is the cost for pumps What about ? Solve using quadratic formula I can't finish- Have to run but that's the start
 Travel_Word_Problems/353200: A car and truck leave an intersection at the same time. The car heads ddue north at 55 mph and the truck heads due west at 50 mph. Find their distance apart at the end of four hours. Assume that both the car and truck maintain their speeds for the entire time.1 solutions Answer 252379 by josmiceli(9664)   on 2010-10-07 13:07:56 (Show Source): You can put this solution on YOUR website!The car and truck each have an equation For car: mi For truck: mi By the pythagorean theorem: distance apart = They are 297.321 mi apart after 4 hrs
 Age_Word_Problems/353094: My house is three times as old as my car. In another three years it will be twice as old as my car. How old is my car?1 solutions Answer 252330 by josmiceli(9664)   on 2010-10-07 09:17:20 (Show Source): You can put this solution on YOUR website!Let = age of car now Let = age of house now given: -------------- By substitution: and The house is 9 years old and the car is 3 years old
 Graphs/353103: graph the system of linear inequalities x<3;2x+y>7 please show me how you get the points to graph theres suppose to be a line under the < by the 3 so = to thank u1 solutions Answer 252326 by josmiceli(9664)   on 2010-10-07 09:10:40 (Show Source): You can put this solution on YOUR website! is the area to the left of the vertical line at and also including the line itself. If you shaded that area, then you would shade the area above the line , and that would be , which is Where those 2 areas intersect is the answer Graphing:
 Travel_Word_Problems/352673: a passenger train leaves a train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of train if the passenger train overtakes the freight train in 3 hours. 1 solutions Answer 252081 by josmiceli(9664)   on 2010-10-06 14:03:43 (Show Source): You can put this solution on YOUR website!Let the speed of the passenger train = How much of a head start did the freight train get? Let = headstart Start a stopwatch when the passenger train leave depot In hours the freight train goes a distance of Now the passenger train must travel in hours The speed of the passenger train is 50 mi/hr check: mi OK
 test/352683: It takes Juliana 3/4 hour to make a bracelet and 1 hour to make a necklace. She charges \$50 for each bracelet and \$80 for each necklace. Juliana works no more than 50 hours in one week and makes more than \$1000. Write a system of inequalities to represent the combination of bracelets and necklaces. Help me!1 solutions Answer 252078 by josmiceli(9664)   on 2010-10-06 13:48:40 (Show Source): You can put this solution on YOUR website!Let = number of bracelets she makes in a week Let = number of necklaces she makes in a week (1) and, also (2)
 Travel_Word_Problems/352675: Find the cost per ounce of a sunscreen made from 100oz of a lotion that costs \$2.50 per ounce and 50 oz of a lotion that costs \$4.00 per ounce. 1 solutions Answer 252074 by josmiceli(9664)   on 2010-10-06 13:35:34 (Show Source): You can put this solution on YOUR website!Cost of \$2.50/ounce lotion = Cost of \$4.00/ounce lotion = Total cost of lotion = Total ounces of lotion = Cost per ounce = The cost per ounce is \$3
 Linear-equations/352667: Here is the question. A childs bank has only quarters and dimes, the total in the bank is \$2.20. There are three times as many dimes as there are quarters. How many dimes are there and how many quarters are there? the solution is written in the book, but I do not understand how the answer came to be. 0.25x + 0.10(3x) = 2.20 0.55x = 2.20 0.55x = 2.20 ____ ____ 0.55 0.55 x = 4 quarters 3x = 12 dimes How did they come up with that answer? PLEASE HELP ME.1 solutions Answer 252068 by josmiceli(9664)   on 2010-10-06 13:28:57 (Show Source): You can put this solution on YOUR website!I would have done it slightly different I would say: Let = number of quarters Let = number of dimes given: (1) (2) (in cents) Now, I substitute (1) in (2) (2) and, since There are 12 dimes and 4 quarters
 Linear-equations/352558: if it costs \$20,000 to make 700 chairs and \$30,000 to make 1500, write an equation that relates cost to number of chairs. what is the cost to make 2000 chairs1 solutions Answer 251954 by josmiceli(9664)   on 2010-10-06 08:09:24 (Show Source): You can put this solution on YOUR website!Let = cost, and plot on vertical axis Let = number of chairs, and plot on horizontal axis You are given 2 points on the graph, (700, 20000) and (1500, 30000) Use the point-slope formula T make 2000 chairs: It cost \$36,250 to make 2000 chairs
 Probability-and-statistics/352565: there were 200 raffle tickets sold. Jewel bought one ticket. What is her chance of winning expressed as a percent?1 solutions Answer 251950 by josmiceli(9664)   on 2010-10-06 07:49:57 (Show Source): You can put this solution on YOUR website! = .5%
 Travel_Word_Problems/352564: A bus travelled 150 miles at a certain speed. If the bus went 10 miles faster, travel time will be decreased by 30 minutes. What is the speed of the bus?1 solutions Answer 251948 by josmiceli(9664)   on 2010-10-06 07:47:47 (Show Source): You can put this solution on YOUR website!given: mi Use quadratic formula: The negative square root cannot be a valid speed, so The speed of the bus is 50 mi/hr check answer: hrs and, since OK
 Age_Word_Problems/352560: if peter is 7 years older than sharon and john is twice as old as peter, work out how old peter is if the average of their ages is 191 solutions Answer 251940 by josmiceli(9664)   on 2010-10-06 07:29:51 (Show Source): You can put this solution on YOUR website!Let = Peter's age Let = Sharon's age Let = John's age ----------------- given: (1) (2) (3) ------------------ From (1): Substitute (1) and (2) in (3) (3) Peter is 16 check answer: and and (3) (3) OK
 Miscellaneous_Word_Problems/352561: Can you help me with this? Using complete sentences, explain how to completely factor 3x2-3x-60. (3x2 the 2 is smaller and elevated) Thank you!1 solutions Answer 251937 by josmiceli(9664)   on 2010-10-06 07:18:49 (Show Source): You can put this solution on YOUR website![] Make the quadratic equal to zero [] Divide both sides by [] Add to both sides [] To complete the square, take one-half of the term, square the result, and add this to both sides. [] [] Express each side as a square. [] Take the square root of both sides [] Subtract from both sides [] and [] Add to both sides [] The factors are and
 Evaluation_Word_Problems/352472: Please help me solve this equation: Frank, Dawn and Robert went to the grocery store to purchase some sandwich meat. Frank bought 300 grams of ham and 200 grams of turkey breast for \$8.90. Dawn bought 100 grams of ham and 300 grams of chicken breast for \$9.00. Robert bought 200 grams of turkey breast and 200 grams of chicken breast for \$9.40. What are the prices / 100 grams for ham, turkey breast and chicken breast? Thanks so much!!1 solutions Answer 251874 by josmiceli(9664)   on 2010-10-05 23:03:48 (Show Source): You can put this solution on YOUR website!Let = price/100 grams ham Let = price/100 grams turkey breast Let = price/100 grams chicken breast given: (1) (in cents) (2) (3) --------------- There are 3 equations and 3 unknowns, so it's solvable Subtract (1) from (3) (3) (1) Substitute this in (2) Substitute this in (2) (2) Substitute in (3) (3) \$1.50 = price/100 grams ham \$2.20 = price/100 grams turkey breast \$2.50 = price/100 grams chicken breast
 Mixture_Word_Problems/350130: A bottle contains 850 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that Jill added?1 solutions Answer 250261 by josmiceli(9664)   on 2010-09-30 10:43:35 (Show Source): You can put this solution on YOUR website!The answer in words will be: (ml of pure juice she ends up with)/(total ml of punch) = 48% Let = ml of pure juice in punch she added Given: ml of 50% punch at start ml of pure juice at start ----------------------------------------------- = concentration of punch added ml The concentration of the punch she adds must be 33%
 Money_Word_Problems/350131: How long will it take P dollars to triple itself at 14% simple interest?1 solutions Answer 250252 by josmiceli(9664)   on 2010-09-30 10:25:55 (Show Source): You can put this solution on YOUR website!I will say that is the number of years for dollars to triple at an annual rate of 14% This is about 14 yrs and 3 1/2 months
 Travel_Word_Problems/349632: Allison and Rachel are taking a trip together. They decide to share the driving responsibilities for the 480 mile drive. Allison drove at an average rate of 50 mph and Rachel drove at an average rate of 40 mph. If Allison drover 45 minutes more than Rachel, then how far did Rachel drive?1 solutions Answer 249922 by josmiceli(9664)   on 2010-09-29 12:15:28 (Show Source): You can put this solution on YOUR website!For Allison: For Rachel: ---------------------- By substitution: Rachel drove: mi check answer:
 Probability-and-statistics/349662: 1300 x (1+.0925) to the 35th power1 solutions Answer 249919 by josmiceli(9664)   on 2010-09-29 12:03:31 (Show Source): You can put this solution on YOUR website!You can do this with logs: Take the log. Note that the log of a product is the sum of the logs of the factors This is the log of the answer. Now you have to find which is the antilog
 Word_Problems_With_Coins/349652: What combinations of nickels and dimes total 45cents if the number of nickels is at least as great as the number of dimes? Algebra 2 question1 solutions Answer 249917 by josmiceli(9664)   on 2010-09-29 11:52:30 (Show Source): You can put this solution on YOUR website!3 nickels and 3 dimes = 45 cents 5 nickels and 2 dimes = 45 cents 7 nickels and 1 dime = 45 cents Note that the number of nickels must be odd, since that's the only way to get 45 cents
 Expressions-with-variables/349322: -7(3+2x) = 84 Im horrible at math and my teacher hates me.. :'( help.1 solutions Answer 249736 by josmiceli(9664)   on 2010-09-28 17:58:06 (Show Source): You can put this solution on YOUR website!You need consoling: Being bad at math is like being a bad driver. You're just not doing what the other drivers do that make them good drivers. The teacher is mad because you keep driving her car off a cliff. All I can say is math never strays far from the basics, and if you missed the basics somehow, you have to back there- like back to parallel parking. Don't worry if you're too young to drive- I'm just using examples. You're not born to be bad at math- you just got that way You MUST do the same thing to both sides of an equation Divide both sides by Now subtract from both sides Divide both sides by Keep at it.
 Mixture_Word_Problems/349274: pure acid is to be added to a 10% solution to obtain 45L of a 40% acid solution. What amounts of each should be used?1 solutions Answer 249720 by josmiceli(9664)   on 2010-09-28 16:33:51 (Show Source): You can put this solution on YOUR website!Let = liters of pure acid to be added Let = liters of 10% solution to be added given: (1) (2) Subtract (1) from (2) (2) (1) From (1), 15 liters of pure acid and 30 liters of 10% acid solution must be mixed
 real-numbers/349256: please tell me how to do square roots of nehative numbers1 solutions Answer 249714 by josmiceli(9664)   on 2010-09-28 16:25:57 (Show Source): You can put this solution on YOUR website!Square roots of negative numbers are called imaginary numbers. A complex number has an imaginary part which includes and a real part which is just an ordinary number. The complex numbers are plotted on what is called the complex plane. If this is too much, just remember and this cycle just repeats over and over You can turn any square root of a negative number into a number times , as follows: or
 Percentage-and-ratio-word-problems/349262: What is the percentage of girls if you have 11 students, 7 are girls and 4 are boys? 1 solutions Answer 249706 by josmiceli(9664)   on 2010-09-28 16:14:41 (Show Source): You can put this solution on YOUR website! % = %
 Exponential-and-logarithmic-functions/349244: Please anyone I need your help A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the purchase price in each of the next 3 years. If you pay the entire bill immediately, you can take a 10% discount from the purchase price. Which is a better deal if you can borrow or lend funds at a 5% interest rate? 1 solutions Answer 249699 by josmiceli(9664)   on 2010-09-28 16:02:27 (Show Source): You can put this solution on YOUR website!I'll say the purchase price is Installment plan: 25% down leaves left to pay off in 3 years Entire bill plan: You pay 90% of the bill immediately --------------------- The 2nd plan puts in your pocket immediately With the 1st plan, you can invest at 5% the 1st year, which is The 2nd year, you have to invest at 5%, which is The 3rd year, you have to invest at 5%, which is Adding these for the 3 years, I get This looks like the 2nd plan wins, since is greater than
 Linear-systems/349181: The concession stand sells hot dogs and drinks during their high school foot ball game. John bought 6 hot dogs and 4 drinks and paid \$6.70. Jessica bought 4 hot dogs and 3 drinks and paid \$4.65. What is the price of a hot dog?1 solutions Answer 249621 by josmiceli(9664)   on 2010-09-28 13:02:44 (Show Source): You can put this solution on YOUR website!Let = price of 1 hotdog (in cents) Let = price of 1 drink (in cents) given: For John: (1) For Jessica: (2) Multiply both sides of (1) by and both sides of (2) by Then subtract (2) from (1) (1) (2) Then, from (1) (1) The price of a hotdog is 75 cents
 Mixture_Word_Problems/349169: Pure acid is to be added to a 5% acid solution to obtain 95L if 80% solution. What amounts of each should be used?1 solutions Answer 249616 by josmiceli(9664)   on 2010-09-28 12:53:20 (Show Source): You can put this solution on YOUR website!Let liters = amount of pure acid to be added Let liters = amount of 5% solution needed In words: (total liters of acid in final solution)/(total liters of final solution) = 80% ---------------------- given: (1) (2) Multiply both sides of (1) by and subtract from (2) (2) (1) 75 liters of pure acid and 20 liters of 5% acid solution are needed check answer: OK
 Percentage-and-ratio-word-problems/349037: Last year a small college accepted 363 students out of the 1340 people that applied. If the college accepted 30% of the female applicants and 25% of the male applicants, how many women applied?1 solutions Answer 249490 by josmiceli(9664)   on 2010-09-28 04:00:14 (Show Source): You can put this solution on YOUR website!Let = number of men that applied Let = number of women that applied given: (1) ----------------------- (2) Multiply both sides of (1) by and subtract from (2) (2) (1) 560 applicants were women
 Percentage-and-ratio-word-problems/349038: The local coffee shop combines two kinds of beans to make a blended mixture of beans. If Ethiopian Harrar beans cost \$7.25 per pound, and Arabian Mocha beans cost \$13.70 per pound, how many pounds of each should be used to make 3 pounds of a blend that costs \$10.26 per pound?1 solutions Answer 249489 by josmiceli(9664)   on 2010-09-28 03:51:05 (Show Source): You can put this solution on YOUR website!Let = pounds of E. H. beans needed Let = pounds of A. M. beans needed given: (1) cost of is cost of is ----------------------------- (2) (2) Multiply both sides of (1) by and subtract from (2) (2) (1) 1.4 pounds of A.M. and 1.6 pounds of E. H. are needed
 Probability-and-statistics/349042: I have an issue with this problem for my probablity and statistics class. I hope you can help. You are dealt two cards successively from a deck of 52 playing cards. Find the probability that both cards are black in a simplified fraction. How is the problem figured out - the answer is 25/102 Please help : )1 solutions Answer 249487 by josmiceli(9664)   on 2010-09-28 03:24:40 (Show Source): You can put this solution on YOUR website!I found a way to get that answer. I'm not positive it's right. B = black R = red The cards drawn can be BB BR RB RR The different ways to get BB or RR are The different ways to get BR or RB are My fraction should be BB / (BB + BR + RB + RR) = = = =
 Equations/349048: To make an international telephone call, you need the code for the country you are calling. The codes for Belgium, France, and Spain are three consecutive integers whose sum is 99. Find the code for each country.1 solutions Answer 249486 by josmiceli(9664)   on 2010-09-28 02:54:35 (Show Source): You can put this solution on YOUR website!Call the consecutive integers , , given: The codes for the 3 countries are 32, 33, and 34
 Miscellaneous_Word_Problems/348728: The circumference of a rear wheel of a certain wagon is 3 feet longer than the circumference of the front wheel. The rear wheel makes 100 fewer revolutions than the front wheel in travelling a distance of 6000 feet, Find the circumference of each wheel.1 solutions Answer 249349 by josmiceli(9664)   on 2010-09-27 16:51:27 (Show Source): You can put this solution on YOUR website!Let = circumference of the front wheel Then = circumference of the rear wheel When the front wheel travels ft, it makes revolutions The rear wheel makes revolutions -------------------------------------- This says: (revolutions of rear wheel) x(circumference of rear wheel) = distance traveled Completing the square: The front wheel is 12 ft in circumference The rear wheel is 15 ft in circumference check: