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

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Question 73743: the height of a tower is 68 ft more than three times a side of its square base. if the sum of these two dimesions is 1380 feet, find the height of the tower.
Help!!!! any clue????
Thanks in advance
Click here to see answer by jim_thompson5910(35256)

Question 73670: A penalty kick in soccer is made from a penalty mark that is 36 ft form a goal that is 8 ft high. A possible equation for the flight of a penalty kick is h= -0.002x^2 + 0.35x where h is the height (in feet) of the ball x feet from the penalty mark. Assuming that the flight of the kick is toward the goal and that it is not touched by the goalie, will the ball land in the net?
Click here to see answer by ankor@dixie-net.com(22740)

Question 73675: My 15 year old daughter is having some difficulty with this as it will be on her mid-term! Can you please help her? Thank you:)

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 gratefully thanked the traveling salesman for saving his daughter�s life. Mr. Brown insisted on giving the man an award 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 an award, but soon realized he made a miscalculation on the amount of money involved.

a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space

b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space

c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space

Click here to see answer by bucky(2189)

Question 73714: I know this isn't really a word problem but I wasn't sure where this would go
(z+3)/(z+5)=(z-2)/(z-5)
Click here to see answer by checkley75(3666)

Question 73714: I know this isn't really a word problem but I wasn't sure where this would go
(z+3)/(z+5)=(z-2)/(z-5)
Click here to see answer by ankor@dixie-net.com(22740)

Question 73888: I want to first of all express my gratitude to everyone who has helped me with all my problems:) This site is so awesome and honestly I would be failing at this moment if it weren't for the assistance from you guys!!! I am sincerely grateful from the bottom of my heart...you guys are great when it comes to doing math and I thank you soooooo much:)I am in my last week of this course my hat is off to you guys!! Thank you so much:) GOD bless you all!!
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?

Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.
Have a great weekend!!!

Click here to see answer by stanbon(75887)

Question 73917: Given x delta y = x+y/x-y
8 delta w = 4/3
solve for delta w

Click here to see answer by jim_thompson5910(35256)

Question 74131: The number of germs in a dish after t minutes is given as B=25e^(kt). If there are 2191 germs present after 6 minutes, find k (round out to 4 places).
Click here to see answer by funmath(2933)

Question 74219: Please help!
Two boys weighing 140 and 105lb, respectively, balance each other on a see-saw sitting 7 ft. apart. What is the distance of each from the pivot point?
Thank You!
Click here to see answer by jim_thompson5910(35256)

Question 74281: Please help with this word problem.
Three communities raised $5900 for a common cause. If community B raised 5/8 of the money community A raised and community C contributed 5/6 of the contribution of community A, how much money did each of the three communities raise?
Click here to see answer by funmath(2933)

Question 74280: I need some help with this problem.
The speed of a mototboat in still water is 15 mi/hr. If it takes the motorboat the same time to go 15 mi upstream the river as it takes to go 30 mi
downstream, what is the speed of the current?
Thank You!
Click here to see answer by stanbon(75887)

Question 74283:
Click here to see answer by stanbon(75887)

Question 74282: Can anyone please help me with this problem?
One-tenth of a rod is colored red, one-twentieth orange, one-thirieth yellow, one-fortieth green, one-fiftieth blue, one-sixtieth indigo, and the remainder, which is 302 in. long, violet. Find the length of the rod.
Click here to see answer by funmath(2933)

Question 74279: Please help me!
The denominator of a fraction is by 3 larger than the numerator. If the numerator is increased by 5, the fraction becomes 5/4. Find the fraction.
Thank You for any help you can give me.
Click here to see answer by jim_thompson5910(35256)

Question 74276: if a 22 inch rope is to be cut into two pieces so the one piece is 3 inches longer than twice the other, how long is the shorter piece?
Click here to see answer by josmiceli(19441)

Question 74275: A man has 20 coins consisting of dimes and quarters. If the dimes were quarters and the quarters were dimes, he would have ninety cents more than he has now...how many dimes and quarters does he have?
Click here to see answer by checkley75(3666)

Question 74340: Well first of all, I am working on reasoning strategies and i am on problem 4. The word problem that I am working on says: You have two pails, one that will hold 4qt. and one that will hold 9qt. There are no markings on either pail to indicate smaller quantities. How can you measure out 6qt. using these two pails? ( assume there is an unlimited amount of water).
What I was thinking of was to fill up the 9qt. pail all the way and pour it into the 4qt. pail. Once you have pored the water into the 4qt. pail, you would be left with 5qt. in the 9qt. pail, but my question is how would I get the other qt. to get 6qts. in total.
Click here to see answer by checkley75(3666)

Question 74393: The Keiko Construction Company is building a house. They need to dig a rectangular basement. It will have a length of 32 feet, a width of 24 feet, and a depth of 8 feet. How much dirt must be removed?
Click here to see answer by cathieb1225(41)

Question 74394: A wall of the basement is 32 feet by 8 feet. The wall is to be constructed with masonry blocks that have lengths of 16 inches and widths of 8 inches. About how many masonry blocks are needed to build the wall?
Click here to see answer by cathieb1225(41)

Question 74395: Help please I really appreciate it.
A rectangular box is (4x + 3) feet wide, (5x - 2) feet long, and (3x + 2) feet high. Find the volume of this box.

Click here to see answer by jim_thompson5910(35256)

Question 74390: A 15 foot by 12 foot room is to be carpeted. There is a 3 foot by 5 foot area in front of the fireplace where one fot square tiles are to be installed. How many square feet of carpet is needed?
Click here to see answer by cathieb1225(41)

Question 74391: The Warren's backyard is 50 foot by 50 foot square. They have attached a 8-foot chain to the back corner fence post to tie up their dog. How much of an exercise area does the dog have?
Click here to see answer by josmiceli(19441)

Question 74388: Any help here I am the worst with math problems.
Find the product of (x2 - 3x + 5) with the quotient of (18x6 - 27x5 - 9x3) � 9x3.

Click here to see answer by bucky(2189)

Question 74538: One day, the temperature at 10:00 A.M. was 41�F, and by 3:00 P.M. the temperature was 66�F. What was the hourly rate of temperature change?
A) 4�F/h
B) 5�F/h
C) 6�F/h
D) 7�F/h

Click here to see answer by checkley75(3666)

Question 74570: Hi. Im studing for a test and im having some problems. I was wondering if anyone can help me. I would really appreciate it. I have 4 questions.
1) Translate into algebraic expression.
The Difference between five times the input and seve.
2) six times the input, added to 8
3) Solve the problem
Write a symbolic rule that represents the relationship in which the output variable t is 5 more than 3.5 times the input variable r. What is the input corresponding to an output value of 26?
4) Write a symbolic rule that represents the relationship in which the output variable t is 7 more than 2.5 times the input variable r. What is the corrisponding to an input value of 8?

Click here to see answer by stanbon(75887)

Question 74567: If the square of 2 less than an integer is 16, find the number(s).
Click here to see answer by checkley75(3666)

Question 74625: One sister is older than the other by 5 years. The product of their ages is twice the age of their mother who is 33. What is the age of the older sister?
Setup the equation
solve the equation
write the answer
Click here to see answer by Edwin McCravy(20054)

Question 74648: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Click here to see answer by stanbon(75887)

Question 74646: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Click here to see answer by checkley75(3666)

Question 74653: This is a question from my son's homework.
"If you have 4 horses and 4 stalls, how many different combinations can you stall the horses?"
We have tried
1 horse stalled 4 ways. 4 horses x 4 ways is 16. But then I realize that more than one horse can be stalled togeather. So now I have confused myself so much I can't help my son.
Click here to see answer by venugopalramana(3286)

Question 74629: 1.Restricted hours. Alana makes $5.80 per hour working in the library. To keep her job, she must make at least $116 per week: but to keep her scholarship, she must not earn more than $145 per week. What is the range of the number of hours per wek that she may work?

2. Living comfortably. Gary has figured that he needs to take home $30,000 a year to live comfortably. If the goverment gets 24% of garys income, then what must his income be for him to live comfortably?
Click here to see answer by ptaylor(2198)

Question 74637: 10.Use the following tabe to answer the question.
Population of Europe by Age Groups
Population (in thousands)
---------------1950-----1970------1995
Age 0-14,-----143,175---166,367---139,464
Age 15-64,----359,162---421,432---487,110
Age 65+,-------44,981----68,642---101,338
Age 75+,-------14,553----22,762----38,139
Total---------547,318---656,441---727,912
Source: European Rural Development (ERD) Project.
What percentage of Europe's population was in the age 75+ group in 1950?

Click here to see answer by checkley75(3666)

Question 74764: c...ch5
one number is 2 times another. If the sum of their reciprocal is (1)/(4), find the two numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 74819: The difference of two numbers is 91. The second is 5 less than 5 times the first. What are the two numbers?

Click here to see answer by ptaylor(2198)

Question 74782: The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot pole picket fence in line with the flagpole was 4 feet. What is the height of the flagpole?

Click here to see answer by checkley75(3666)

Question 74859: The length of a rectangle is 5 cm more than 2 times its width. If the area of the rectangle is 75 cm2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by psbhowmick(878)

Question 74849: The length of a rectangle is 5 cm more than 2 times its width. If the area of the rectangle is 75 cm2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by psbhowmick(878)

Question 75079: The length of a rectangle is 1 cm longer than the width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width) of the rectangle.
Please show work.
Click here to see answer by checkley75(3666)

Question 75192: The equationh=-16t^2+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
please show your work
Click here to see answer by stanbon(75887)

Question 75198: One number is 8 less than another. If 5 times the smaller number minus 2 times the larger number is 14, find the two numbers.
Click here to see answer by checkley75(3666)

Question 75197: The difference of two numbers is 45. The second is 3 less than 3 times the first. What are the two numbers?
Click here to see answer by jim_thompson5910(35256)

Question 75371: mark and melinda collect baseball caps. mark has 7 more thn melinda. together, they have 115 caps. how many baseball caps does each of them have?
Click here to see answer by checkley75(3666)

Question 75393: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by checkley75(3666)

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