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

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Question 253495: What number is halfway between 5/12 and 1/2 ?
a 3/14 b 3/7 c 11/24 d 13/24 e 22/24

Click here to see answer by richwmiller(17219) About Me 

Question 253494: The average of five consecutive multiples of 5 is 20. What is the largest of these numbers?
(A) 20 (B) 25 (C) 30 (D) 35 (E) 40

Click here to see answer by richwmiller(17219) About Me 

Question 253518: For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk .05 mile per minute and jog .1 mile per minute. For how much time were you walking? For how much time were you jogging?
I set it up as:
(((x+y=2.5)))
(((.05x+.1y=30)))
But it is not working out. Can you help me?

Click here to see answer by solver91311(24713) About Me 

Question 249263: In a right triangle, find the length of the side not given: side b=1, side c=sqrt(10), side a=
Click here to see answer by drk(1908) About Me 

Question 253536: Four times a number is 21 more than the number. What is the number?
Click here to see answer by richwmiller(17219) About Me 

Question 253608: The price of a $33 sweatshirt is reduced by 1/3. In a state in which sales tax is 6%, how much will sales tax be on the reduced price of the sweatshirt?
Click here to see answer by richwmiller(17219) About Me 

Question 253609: The foundation of a house is 30 feet wide and 42 feet long. If 1/8 inch represents 1 foot on a scale drawing of the house, how many inches wide will the house be on the scale drawing?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 253609: The foundation of a house is 30 feet wide and 42 feet long. If 1/8 inch represents 1 foot on a scale drawing of the house, how many inches wide will the house be on the scale drawing?
Click here to see answer by richwmiller(17219) About Me 

Question 253606: a punch recipe calls for 2 quarts of ginger ale, 2 pints of orange juice, 2 pints of pineapple juice and 1 cup of lemon juice. If 4 quarts equal 8 pints, and 8 pints equal 16 cups how many pints of punch does the recipe make?
Click here to see answer by stanbon(75887) About Me 

Question 253610: Tractors A,B,C and D are identical and are pulling identical planting machines. Working together, A,B and C can plant 180 acres of corn in 2 hours. At this rate, how many acres can A,B,C,and D all working together, plant in 3 hours?
Click here to see answer by richwmiller(17219) About Me 

Question 253616: Property valued at $90,000 is assessed at 2/3 of its value. If the property tax is $30 per $1000 of assessed value per year, what is the yearly property tax bill?
Click here to see answer by drk(1908) About Me 

Question 253623: On a road map, the distance along an interstate highway between 2 cities is 4 5/8 inches, and the distance along a U.S. highway is 5 3/4 inches. On the map, 1 inche represents 80 miles. How many miles greater is the distance along the U.S. highway than along the interstate highway?
Click here to see answer by drk(1908) About Me 

Question 253625: What is the sum of the positive prime factors of 70?
Click here to see answer by stanbon(75887) About Me 
Question 253625: What is the sum of the positive prime factors of 70?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 253626: A commuter train travels a distance of 4 miles in exactly 3 minutes. What is the average speed of the train in miles per hour?
Click here to see answer by checkley77(12844) About Me 
Question 253626: A commuter train travels a distance of 4 miles in exactly 3 minutes. What is the average speed of the train in miles per hour?
Click here to see answer by stanbon(75887) About Me 
Question 253626: A commuter train travels a distance of 4 miles in exactly 3 minutes. What is the average speed of the train in miles per hour?
Click here to see answer by drk(1908) About Me 

Question 253627: Didn't really understand the problem, its says:
Which of the following gives the fractions 2/3, 5/8, and 7/11 arranged in order from least to greatest?

Click here to see answer by drk(1908) About Me 
Question 253627: Didn't really understand the problem, its says:
Which of the following gives the fractions 2/3, 5/8, and 7/11 arranged in order from least to greatest?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 253629: A plumber has a piece of pipe measuring 9 feet 7 7/8 inches long. How many fee and inches are left when the plumber cuts off a piece that is 4 feet 11 1/2 inches long?
Click here to see answer by richwmiller(17219) About Me 
Question 253629: A plumber has a piece of pipe measuring 9 feet 7 7/8 inches long. How many fee and inches are left when the plumber cuts off a piece that is 4 feet 11 1/2 inches long?
Click here to see answer by stanbon(75887) About Me 

Question 253684: The price of a $33 sweatshirt is reduced by 1/3. In a state in which sales tax is 6 % how much will the sales tax be on the reduced price of the sweatshirt?
Click here to see answer by edjones(8007) About Me 

Question 253725: A city government has approved the construction of a $50 million sports arena. Up to $30 million will be raised by selling bonds that pay simple interest at a rate of 12% annually. The remaining amount (up to $40 million) will be obtained by borrowing money from an insurance company at a simple interest rate of 10%. Determine whether the arena can be financed so that the annual interest is $5.2 million.
Thank you for the help!

Click here to see answer by richwmiller(17219) About Me 

Question 253732: A truck traveling at a constant speed on a reasonably straight, level road burns fuel at the rate of g(x) gallons per mile, where x is the speed of the truck in miles per hour and g(x) is given by g(x) = 800+x^2/200x.
a.) If the fuel cost $1.40 per gallon, write the cost function, c(x), that expresses the cost of fuel for a 500-mile trip as a funstion of the speed, (Hint: 500 X g(x) gallons of fuel are needed to go 500 miles)
b.) What driving speed will make the cost of fuel for the trip $250?
c.) What driving speed will minimize the cost of fuel for the trip?

Click here to see answer by richwmiller(17219) About Me 

Question 253776: x, y and z are consecutive multiples of 5, counting from smallest to largest. What is x + y in terms of z ?
(A) z + 10 (B) z + 15 (C) 2z –15 (D) 2z + 5 (E) 3z – 5

Click here to see answer by MRperkins(300) About Me 

Question 253782: Which of the following numbers has the same set of prime factors as 315 ?
(A) 15 (B) 21 (C) 35 (D) 105 (E) 125

Click here to see answer by Edwin McCravy(20054) About Me 
Question 253782: Which of the following numbers has the same set of prime factors as 315 ?
(A) 15 (B) 21 (C) 35 (D) 105 (E) 125

Click here to see answer by MRperkins(300) About Me 

Question 253781: If x and y are negative integers, which of the following expressions must be negative ?
(A) xy (B) x + y (C) x – y (D) x^2 + y^2 (E) x^2 - y^2

Click here to see answer by palanisamy(496) About Me 

Question 253777: What fraction, reduced to its lowest terms, is halfway between 4/5 and 0.9 ?
a) 1/2 b) 2/3 c) 17/20 d) 6/7 e) 4 1/2

Click here to see answer by Theo(13342) About Me 

Question 253779: In a certain month, Linda earned twice as much as Jill earned. Susan earned three times as much as Jill. If Susan earned $240, how much did Linda earn?
(A) $80 (B) $160 (C) $240 (D) $360 (E) $480

Click here to see answer by palanisamy(496) About Me 

Question 253793: a number is called " even - odd " if it is halfway between an even integer and an odd integer. if x is an even-odd number , which of the following must be true ?
I. 2x is an integer
II 2x is even-odd
III x is halfway between two even integers
A) I only (B) II only (C) I and II only
(D) II and III only (E) I, II, and III


Click here to see answer by Theo(13342) About Me 

Question 253803: By how many sixteenths is 1/3 of 3/4 more than 1/4 of 3/4 ?
Click here to see answer by richwmiller(17219) About Me 

Question 253801: Carol wants to arrange 3 of her 4 plants in a row on the shelf. If each of the plants is in a different- colored container, how many different arrangements can she make ?
(A) 7 (B) 12 (C) 24 (D) 28 (E) 36

Click here to see answer by stanbon(75887) About Me 

Question 253800: If A is the sum of the integers from 1 to 50 and B is the sum of the integers from 51 to 100, what is the value of B – A ?
(A) 2720 (B) 2340 (C) 2500 (D) 1990 (E) 2800

Click here to see answer by stanbon(75887) About Me 

Question 253786: the least and greatest numbers in a list of 7 real numbers are 2 and 20 ,respectively. the median of the list is 6, and the number 3 occurs most often in the list which of the following could be the average (arithmetic mean ) of the numbers in the list
I. 7
II 8.5
III 10
(A)I only (B) I and II only (C) I and III only
(D) II and III only (E) I, II, and III

Click here to see answer by stanbon(75887) About Me 

Question 253696: The length of a rectangle is 3 feet more than twice it's width. Find the length, perimeter, and area of a rectangle a) if it's width is 5; b) if it's width is 10
Click here to see answer by palanisamy(496) About Me 

Question 253744: The volumes of two spheres are in the ratio 64:27 Find the difference of their surface areas, if the sum of their radii is 7 units?
Click here to see answer by richwmiller(17219) About Me 

Question 253791: Family Thomas Shawn David Sui Lisa
Number of Consecutive 10 5 8 6 8
Nights
The table above shows the number of consecutive nights that each of five families stayed at a certain hotel during a 14-night period. If the Sui family’s stay did not overlap with the Lisa family’s stay, which of the
14 nights could be a night on which only one of the five families stayed at the hotel?
(A) The 2nd (B) The 4th (C) The 5th (D) The 8th (E) The 10th

Click here to see answer by Edwin McCravy(20054) About Me 

Question 254105: Each time Shannon pushes the button on a machine, a bell rings 7 times. Each time she turns the switch on the machine, the bell rings 3 times. During one hour, Shannon caused the bell on the machine to ring 23 times. How many times did she push the button?
Click here to see answer by MRperkins(300) About Me 

Question 254106: If n is positive and n^2 = 51 , between which two numbers does n lie?
A. 5 and 6 B. 6 and 7 C. 7 and 8 D. 8 and 9 E. 9 and 10

Click here to see answer by MRperkins(300) About Me 

Question 254108: If X dollars will buy Y pounds of chopped meat, how many dollars are need to buy Z pounds of the same meat?
a XZ/Y b XYZ c) Z/XY d) (X+Y)/Z e) XY/Z

Click here to see answer by MRperkins(300) About Me 

Question 254104: X = set of positive integer factors of 6.
Y = set of positive integer factors of 9.
Z = set of positive integer factors of 15.

X, Y, and Z represent three sets of numbers, as defined above. What is the set of numbers that belong to set Z but to neither set X nor set Y ?
a){1, 3}
b){1, 5}
c){5, 15}
d){2, 3, 5}
e){1, 3, 5, 15}



Click here to see answer by MRperkins(300) About Me 

Question 254107: if 4/7 of a quantity is 24 then 5/6 of the same quantity is
A. 10 B. 14 C. 13 D. 4 E. 5



Click here to see answer by palanisamy(496) About Me 

Question 254123: There are two candy jars, each of which contains the same number of pieces of
candy. Bert takes 25 pieces of candy from the first jar and gives the rest to Karla, while Karla takes 17 pieces of candy from the second jar and gives the rest to Bert. When they are done, Karla discovers that Bert has more pieces of candy than she does. How many more pieces of candy does Bert have?

Click here to see answer by Theo(13342) About Me 

Question 254155: How many 9 in. × 9 in. tiles does it take to tile the floor of a 12 ft. × 15 ft. kitchen?
Click here to see answer by drk(1908) About Me 

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