Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 180963: Some birds are resting o two trees; A and B. The number of birds on A tree is nine times the number of birds on tree B. If seven birds leave tree B and sit on tree A, the birds on tree A becomes ten times the birds on tree B. How many birds are there on each tree initially?
Click here to see answer by ptaylor(2198)

Question 180985: Okay, I am REALLY no good at word problems and when it comes to these kind...it makes my head spin. So if someone could please help me that would be GREAT!!! Here is the problem:
Barb has a total of $25,000 invested in two different accounts. One is a money market account paying 9.5% interest, while the other is a CD that pays 12% interest. She receives $2700 in interest from these combined investments, after 1 year. How much does she have invested in each account?

Click here to see answer by stanbon(75887)

Question 181003: I have a problem where I figured it out like this.
I need 30 tons of rocks to cover an area. If each ton costs $60 and each tree is $84, what is the maximum amount of trees I can buy with a budget for rock and trees of $2,500?
I answered: (30)(60) + 84T<2500
1800 + 84T <2500
84T<700
T<8.33333...
The second part asks if 5 trees could be a solution, I said no because the answer is 8 but I don't know how to show proof?
Click here to see answer by edjones(8007)

Question 181092: The following statistics provide information about the scores on a national mathematics exam.
Mean 312 First Quartile 201
Median 296 Third Quartile 423
Mode 326 49th Percentile 307
a) What score did half of the test takers surpass?
b) What was the most common score?
c) What percentage of the test takers scored 201 or better?
d) If Joe had a score of 307, explain the meaning of his score.

Click here to see answer by Mathtut(3670)

Question 181116: There is a two-digit number whose product is 18 and whose sum is 9. The number in the tens place is lower than the number in theones place. What is the two digit number?
Click here to see answer by solver91311(24713)

Question 181156: Half of the numbers in any data set will be larger than the
A) mean B) mode C) median D) midrange

Click here to see answer by solver91311(24713)

Question 181201: Find the interval on the Fahrenheit scale corresponding to 25
Click here to see answer by Alan3354(69443)

Question 181332: There are 3 sticks. first stick is half of the second stick. second stick is 6 inches more than te third stick. total length of all sticks is 44 inches. what is the length in inches of each stick
Click here to see answer by vleith(2983)

Question 181457: The state of Nevada has an area of 286,367 square kilometers. In 2005, Nevada had an estimated population of 2,414,807 people. Approximately how many people per square kilometer is this?
Click here to see answer by josmiceli(19441)

Question 181456: A grocer sells potatoes in 4pound bags and 3 pound bags. He sold 594 bags of potatoes on Thursday.. He sold the same number of 4 pound bags as he did 3 pound bags. How many of each did he sell ?
Click here to see answer by josmiceli(19441)

Question 181460: Quote:
"I am thinking of a number. I multiply it by 15 and subtract 280.
I get the same answer if I multiply it by 5 and subtract 10.
What is my number?"
Click here to see answer by vleith(2983)

Question 181509: In exercises 6-8, one student is selected at random from a group of 12 freshman, 16 sophomores, 20 jouniors, and 2 seniors. find the probability that the person selected is ...
6. a freshman
7. not a sophomore.
8. a junior ro a senior
Click here to see answer by Mathtut(3670)

Question 181516: The school is constructing a new gym. They want a 12 foot wide tile border around the outside edge of the square court, and the total side length is 7x. Write a polynomial for the area of the court, not including the tile border.

Click here to see answer by Mathtut(3670)

Question 181521: this question is about probability:
four acts are scheduled to preform in a variety show. how many different ways are there to schedule their sappearances?
Click here to see answer by stanbon(75887)

Question 181525: this is a probability question:
in how many ways can seven ariplanes line up for a departure on a runway if the plane with the greatest number of passengers must depart first?
Click here to see answer by Mathtut(3670)

Question 181531: one card is randomly selectd from a deck of 52 cards. find the probability of selecting a black card or a picture card.
Click here to see answer by Alan3354(69443)

Question 181533: a box contains five red balls, six green balls, and nine yellow balls. suppose you select one ball at random from the box and do not replace it. then you randomly select a second ball. find the probability that both balls selected are red.
Click here to see answer by Mathtut(3670)

Question 181537: a group os comprised of 20 men and 15 women. if one person is randomly selected from the group, find the odds against the person being a man.
Click here to see answer by Mathtut(3670)

Question 181536: describe what is wrong with following statement:
there are 50 states, so the probability of selecting an American who lives in north Dakota is 1/50.
Click here to see answer by Mathtut(3670)

Question 181535: a quiz consisting of four mulitple-choice questions has four available options (a, b, c, or d) for each question. if a person guesses at every question, what is the probability of answering all question correctly?
Click here to see answer by vleith(2983)

Question 181532: a group of students consists of 10 male freshmen, 15 female freshmen, 20 male sophomores, and 5 female sophomores. if one perosn is randomyl selected from teh group, find the probability of selecting a freshman or a female.
Click here to see answer by Mathtut(3670)

Question 181528: a lottery game is set up so that each player chooses six different numbers from 1 to 15. if the six numbers match the six numbers drawn in the lottery, the player wins (or shares) the top cash prize. what is the probablility of winning the prize with 50 prizes with 50 different lottery tickets?
Click here to see answer by stanbon(75887)

Question 181529: a region is prone to flooding once every 20 years. what is the probability of flooding for three consecutive years?
Click here to see answer by Mathtut(3670)

Question 181541: an architect is considering bidding for the design of a new theater. the cost of drawing plans and submitting a model is $15,000. the probability fo being awarded the bid is 0.2, and the anticipated probfits are $80,000, resulting in a possible gain of teh amount minus the $15,000 cost for the plans adn models. what is the expected value if the architect decides to bid for the design? Descrbe what this value means.
Click here to see answer by Mathtut(3670)

Question 181542: a game is played by selecting one bill at random from a bag that contains ten $1 bills, five $2 bills, three $5 bills, and one $10 bill, and one $100 bill. The player gets to keep the selected bill. There is a $20 charge to play the game. What is the expected value? what does this value mean?
Click here to see answer by Mathtut(3670)

Question 181538: the odds against a canidate winning an electionare given at 1 to 4.
A) what are the odds in favor of the candidate winning?
B) what is the probability that the canidate will win the election?
Click here to see answer by Mathtut(3670)

Question 181539: a class is collecting data on eye color and gender. they organize the data they collected into the tabel shown. Numbers in the table represent the number of students from the class that belong to each of the categories. if one student is selected from teh class, find teh probability that the student is a man, given that the student has blue eyes.
brown blue green
male 22 18 10
female 18 20 12

Click here to see answer by Mathtut(3670)

Question 181550: There are 86 students in the school band and the school orchestra. There are 62 students in the band and 46 students in the orchestra. Some students play in both the band and the orchestra. How many students play in both the band and the orchestra?
Click here to see answer by josmiceli(19441)

Question 181560: The county's new asphalt paving machine can surface 1km of highway in 10 hours. A mcuh older machine can surface 1km in 18 hours. How long will it take them to surface 21km of highway if they start at opposite ends and work day and night?
Click here to see answer by solver91311(24713)

Question 181561: Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectivley. With the tank empty, pipe A was turned on at noon , and then pipe B was turned on at 1:30 pm. At what time ws the tank full?
Click here to see answer by ankor@dixie-net.com(22740)

Question 181571: On a 14-day vacation, Glenn increased his caloric intake by 1500 calories per day. He also worked out more than usual by swimming 2 hrs. a day. Swimming burns 666 calories per hour, and a net gain of 3500 calories adds 1 lb of weight. Did Glenn gain at least 1 lb during his vacation?
Click here to see answer by Mathtut(3670)

Question 181513: An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the
Wrench above the ground after t seconds is given by S (t) = -16t^2 - 32t -128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the ground?

Click here to see answer by solver91311(24713)

Question 181508: a human resource manager has 11 applicants to fill three different postioins. assuming that all the applicants are equally qualified for any of the three positions, in how many ways can this be done?
Click here to see answer by Mathtut(3670)

Question 181519: Tyson often rides his bike 8 miles to visit a friend. His speed varies inversely with the time it takes to cover that distance. Today he rode at 16 mph to get to his friends house, and then he rode at a rate of 12 mph to get home. How much longer did it take him to get home than to get to his friends house?
Click here to see answer by Mathtut(3670)

Question 181511: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
Click here to see answer by HyperBrain(694)

Question 181527: seven movies (A, B, C, D, E, F, and G) are being scheduled for showing. The order of the showing is determined by random relecton. find the probability taht film C will be shown first, film A next-to-last, and film E last.
Click here to see answer by stanbon(75887)

Question 181656: Find the mean, median, and mode for the following set of data which shows the number of pages per article in a random sample of magazine articles.
4 6 4 6 5 4 4 5
7 4 3 6 5 8 4

Click here to see answer by carter6949(26)

Question 181698: Michel cut her cake into 6 pieces of equal size. Grace cut her cake into 8 pieces of equal size. If the cakes must now be cut so that they are identical, into how many pieces should each cake be cut?
Click here to see answer by solver91311(24713)

Question 181675: A student claims that every prime greater than 3 is a term in the arithmetic sequence who nth term is 6n+1 or in the arithmetic sequence whose nth term is 6n-1. Is this true? If so why?
Click here to see answer by Edwin McCravy(20054)

Question 181769: A jar contains 10 marbles: 3 red, 1 blue, and 6 green. The red marbles are numbered 1-3, the blue is numbered 4, and the green are numbered 5-10. Find the probability that a marble drawn from the jar is odd or green.
Click here to see answer by Earlsdon(6294)

Question 181702: In their freshman years, Kirsten took 43 credit hours and Beth took 47 credit hours. If Kirsten took only 5-credit courses and Beth took only 3-credit courses after their freshman years, how many credits did they have when they had the same number?
Click here to see answer by edjones(8007)

Question 181854: *Use two unit multipliers to change 1,600 square cm to square m.*
I'm not sure how to solve this problem, I know what a unit multiplier is but I'm not sure how to use it to solve this problem. Please show your work/explain how you recived the answer.
Thanks so much
Click here to see answer by vleith(2983)

Question 181680: -In the year 2000, the population of NV was 1, 998, 257. What was the approximate percent of increase from 2000 to 2005? Use the population data from question 8.
i solved question eight but question eight is:
The state of Nevada has an area of 286,367 square kilometers. In 2005, Nevada had an estimated population of 2,414,807 people. Approximately how many people per square kilometer is this?
2414807 / 286367 people/km2
8.43, or about 8 people/km2
Click here to see answer by solver91311(24713)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690