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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 32535: A man rode a bike for 12 miles and hiked 8. Total time for the trip was 5 hours. If his rate when he was riding a bike was 10mph faster than his rate walking, whay was each rate?
Click here to see answer by mukhopadhyay(490)

Question 32439: Marcus and Juan designed a cap for their racing club. The caps were such a hit, their friends convinced them to start their own business. Totalk start-up costs are $500. They estimate that it will cost them $3.00 to print each cap. The function C(x)= 500+3x/x represents cost per cap when x number of caps are produced.
What is the vertical asymptote?
Whast is the horizontal asymptote?
What is the reasonable domain and range?
Click here to see answer by mukhopadhyay(490)

Question 32530: Show that there is no cubic polynomial p(x) with integer coefficients such that p(1)=4 and p(3)=5.
Click here to see answer by Fermat(136)

Question 32264: The cost of renting a car for a day is given by the linear function c(x) = 1/8 + 20 where c(x) is in dollars and x is the number of miles driven.
1. What is the cost of driving the care 180 miles?
2. How many miles could you drive if you had a budget of $100.
3. Explain the meaning of the 1/8 in the equation and what it represents in this context.
4. Explain the meaning of the 20 in the equation and what it represents in this context.
5. Graph c on the axes and label at least 3 points on a graph.
Click here to see answer by mukhopadhyay(490)

Question 32697: The temperature of an ideal gas was held at 400 degrees C. The initial pressure and volume were 750 torr and 50 ml respectively. What would the final pressure be if the volume were increased to 1500 ml?
Click here to see answer by venugopalramana(3286)

Question 32756: Dealing with contradictions: Is is possible to draw a triangle in which the sum of any two angles is less than 120 degrees.
Click here to see answer by mukhopadhyay(490)

Question 32733: A 20m pole is struck by lightning and, while not completely broken, falls over and touches the ground 12m from the bottom of the pole. How high up did the pole break? i cant figure this one out.. please help me.. i'm trying to help out some classmates, and i cant
Click here to see answer by checkley71(8403)

Question 32810: There were 476 paper-clips in box A and 52 paper-clips in box B. After an equal number of paper-clips was added into each box, box A had five times as many paper-clips as box B. How many paper-clips were added into box B?
Click here to see answer by Paul(988)

Question 32808: If Amy gives 10 of her stamps to Robin, she will have four times as many stamps as Robin. If she gives 20 of her stamps to Robin, she will have three times as many stamps as Robin. How many stamps do they have in all?
Click here to see answer by Paul(988)

Question 32809: 8 clocks and 5 watches cost $695 althogether. 3 clocks and 3 watches cost $300 altogether. How much more does each clock cost than each watch?
Click here to see answer by Nate(3500)

Question 32757: Dealing with contradictions: If a, b, and c are nonzero real numbers such that a>0 and the equation ax^2+bx+c has no real solutions, then show that ax^2+bx+c<0 cannot be true for all values of x.
Click here to see answer by venugopalramana(3286)

Question 32812: Peter, Tom, and Vincent have 240 cards altogether. Peter gave some of his cards to Tom and the number of Tom's cards was doubled. Then Tom gave some of his cars to Vincent and the number of Vincent's cards was doubled. If the three boys had the same number of cards in the end, how many cards did Peter have at first?
Click here to see answer by josmiceli(19441)

Question 32879: Let f(x) =x^n + a(sub1)x^n-1 + a(sub2)x^n-2..........a(sub n-1)x+a(sub n) be a polynomial with integer coefficients. Suppose there are four distinct integers a,b,c and d such that f(a)=f(b)=f(c)=f(d)=8. Can there be an integer k such that f(k)=3.
Click here to see answer by khwang(438)

Question 32878: Suppose eight square have sides of length 1,1,2,3,4,5,6, and 9 inches. Is it possible to piece these tiles together to form a rectangle?
Click here to see answer by khwang(438)

Question 32877: Show that log5(8) is irrational.
Click here to see answer by khwang(438)

Question 32880: Show that the polynomial p(x)= x^4 + 2x^2 + 2x + 2 cannot be expressed as the product of two quadratic polynomials of form x^2 + ax + b and x^2 + cx +d where a,b,c, and d are any integers.
Click here to see answer by venugopalramana(3286)

Question 32755: Dealing with contradiction: Show that for any positive integer a and any prime p, if p is divides a, then p does not divide a+1.
Click here to see answer by venugopalramana(3286)

Question 32723: Suppose 25 people are arranged in a circle. Three of them are selected at a random. what is the probability that none of those selected were next to each other?
Click here to see answer by venugopalramana(3286)

Question 32721: in a certain football league, the only ways to score are to kick a field goal for 3 points and score a touchdown for 7 points. How many positive scores cannot possibly be obtained by a team in this game?
Click here to see answer by josmiceli(19441)

Question 33113: A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all six ties. With another shirt, he could wear 5 ties. With the 3rd shirt, he could only wear 2 ties. How many different combinations did he have?
Click here to see answer by longjonsilver(2297)

Question 33111: Use a tree diagram showing all possible results when 4 fair coins are tossed. List the ways of getting more than 2 tails.
Click here to see answer by longjonsilver(2297)

Question 33110: Four married couples have reserved 8 seats in a row at the theatre, starting at an aisle seat. How many ways can they arrange themselves if all the women sit together and all the men sit together?
Click here to see answer by longjonsilver(2297)

Question 33127: You are going to purchase two types of computers for your business. If computer A costs $700 and computer B costs $500, then how many of each should you buy if you need 16 computers and you have $10,000 to spend?
Click here to see answer by priya(51)

Question 33152: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by:
P(x) = -0.001x^2 + 3x - 1800
What is his maximum profit per day, and how many cans must he sell for maximum profit?
Thank you very much!
Click here to see answer by mukhopadhyay(490)

Question 33326: When the temperature goes up 3degree on the cantorscale, it goes up 8degree
on the Frobenius scale. On both scales, 18degree is the same temperature. How many Frobenius degrees are equal to 30degree Cantor?
Click here to see answer by stanbon(75887)

Question 33360: Please Help me with this word problem.

Six grapefruit cost as much as a dozen oranges. The cost of a dozen grapefruit and two dozen oranges is $12.00. How much does one grapefruit cost?

Thanks.
Click here to see answer by checkley71(8403)

Question 33292: The local donut shop sells donut holes in boxes of 20, 45, and 60. You have $10 of spending money that must last until Friday. How many boxes of each size should you but to make sure that everyone has enough to eat, while at the same time minimizing the cost?
Known data: One box of 20 donut holes cost $1.99 tax included
One box of 45 donut holes cost $3.29 tax included
One box of 60 donut holes cost $3.69 tax included
There are 33 students On average 5 students are absent from any class meeting
On average eact student eats 3 donut holes

Click here to see answer by jwilliams1989(2)

Question 33407: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.
Thank you.
Click here to see answer by stanbon(75887)

Question 33406: If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm^2. What were the dimensions of the original square?

Thank you.
Click here to see answer by stanbon(75887)

Question 33404: The diameter of the Milky Way disc is approximately 9 x 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
Thank You.
Click here to see answer by stanbon(75887)

Question 33150: A ball is thrown across a playing field. Its path is given by the equation y= -0.005x^2 +x +5, where x is the distance the ball has traveled horizontally, and y is its height above ground level, both measured in feet.
a. What is the maximum height attained by the ball?
b. How far has it traveled horizontally when it hits the ground?
I know this involves vertex and quadratic equations but it doesn't graph right.
Thank you very much!
Click here to see answer by mukhopadhyay(490)

Question 33484: How many different seven digit numbers can be made by rearranging the digits 3053354?
Click here to see answer by stanbon(75887)

Question 33520: A singer has twice as many pants as she does shoes. She has three halves as many t shirts as she does pants. What is the least amount of items she can have to have a different wardrobe for each day of the year?
Click here to see answer by mbarugel(146)

Question 33579: I need help!!! Please!!
A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and greatefully thanked the traveling salesman for saving his daughter's life. Mr. Brown insisted on giving the man a reward for his heroism. So, the salesman said, "If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies." As he'd been saving pennies for over 25 years, Mr. Brown did not consider this much of a reward, but soon realized he made a miscalculation on the amount of money involved.
a). How much money would Mr. Brown have to put on the 32nd square?
b). How much would the traveling salesman receive if the checkerboard only had
32 squares?
c). Calculate the amount of money necessary to fill the whole checkboard (64 squares). How much money would the farmer need to give the salesman?
Any and all help you can give on this problem, would surely be appreciated!! Thanks in advance!

Click here to see answer by Earlsdon(6294)

Question 32301: A Regualr polygon of n sides inscribed in a circle of radius r has 3r squared. What is the value of n?
Click here to see answer by venugopalramana(3286)

Question 33781: I THINK I MIISED TYPED THE QUESTION BEFORE
1.JANE PICKED A NUMBER ADDED 3 TO IT MULTIPLIED THE SUM BY 5 THEN SUBTRACTED 8 AND DOUBLED THE RESULT. IF THE ANSWER WAS 44 WHAT NUMBER DID SHE START WITH
2.JUDY RODE HER BIKE 4 BLOCKS EAST 8 BLOCKS SOUTH 9 BLOCKS WESR AND 4 BLOCKS NORTH HOW MANY BLOCKS WEST AND SOUTH OF HER STARTING POINT WAS SHE?
Click here to see answer by Nate(3500)

Question 32489: The populatin of a city, in thousands, is modeled by the equation P(t)=45091.0150^t, 0 is less than or equal to t less than or equal to 10, where t is time measured in years. In what year will the population be 475,000?
Click here to see answer by Nate(3500)

Question 33805: 1.HOW MANY OUNCES OF PEANUTS SHOULD BE ADDED TO 38OZ TO MAKE 4 POUNDS OF MIXED NUTS.
2.by compounding interest semiannually at the annual rate of 12 percent each $1 is worth $2.01219 at the end of 6 years. find the total interest earned of $1,000 compounded semiannually at 12 percent annual rate at the end of 6 years.
i have no idea with that one
Click here to see answer by stanbon(75887)

Question 33898: Five divided by the sum of a number and 1, minus the quotient of 3 and the difference of the number and 1 is equal to 6 times the reciprocal of the difference of the number squared and 1. What is the number?
Could be 7, -1, -1/4, or 4
Click here to see answer by Paul(988)

Question 33996: I don't understand this question:
Write a rule that expresses the months m(y) as a function of the number of years Y.
I put m(y)=12y but got it wrong, could you please explain.
Click here to see answer by longjonsilver(2297)

Question 33994:

If a can of apple juice holds 12 ounces, a case of 24 cans would 

be how many quarts of juice? 


Click here to see answer by AnlytcPhil(1806)

Question 34214: If the diagonal of a rectangle is 169 and one side is 156, What is the length of the other side?
Click here to see answer by sarah_adam(201)

Question 34218: What is the largest intger that n^3-n is divisable by k for all postive intgers n?
Click here to see answer by venugopalramana(3286)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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