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

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Question 147168: Two race cars are speeding around the racetrack at different speeds. One goes around the track in 2 minutes; the other goes around the track in 1½ minutes. How often does the faster car pass the slower car?

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Question 147130: The path of the diver is given by y= 4/9 x^2+24/9 x+12
where y is the height in feet and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?
Thank you for any help here.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 147222: trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 80 miles per hour and train b is traveling at 90 per hour train a passes a station at 5:20 am. if train b passes the same station at 5:50 am, what time will train b catch up to train a?
Click here to see answer by checkley77(12844) About Me 

Question 147413: A theater has 650 seats. After one sell-out performance, the theater made $11,600. If orchestra seats cost $20 each and balcony seats cost $12, how many orchestra and balcony seats are there in the theater?
Click here to see answer by 24HoursTutor.com(40) About Me 

Question 147419: Five times the sum of 3 and some number is 70. What is the number?
Click here to see answer by nabla(475) About Me 

Question 147441: A laser beam is transmitted with a "width" of 0.00200 degree. What is the diameter d of a spot of the beam on an object 258,000km distant?
Click here to see answer by stanbon(75887) About Me 

Question 147470: In 1960, the U.S. generated 87.1 million tons of municiple solid waste and recovered "recycle" only 4.3 % of it. The amount of municiple solid waste generated in the U.S. can be modeled by the formula, while the amount recovered can be modeled by the formula, where W is the millions of tons and N is the number of years since 1960.
1.use the formulas to determine the year in which the U.S. generated over 1 million tons of municiple solid waste.
2.find the year in which 13% of the municiple solid waste generated will be recovered
3.will the recovery rate ever reach 25%
4.According to this model which is the maximun %age of solid waste that will ever be recovered.

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Question 146331: Jim has five pieces of string. He needs to chose the piece that will go around his 36inch waist. His belt broke and his pants are falling down.the piece needs to be atleast 4inches longer than his waist so he can tie a knot in it, but it can not be more than 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
a. 3 4/5 feet
b. 3 2/3 feet
c. 3 3/8 feet
d. 3 1/4 feet
e. 2 1/2 feet

thank you in advance!

Click here to see answer by Electrified_Levi(103) About Me 

Question 147498: Toni has 16 feet of edging to make a flower garden. She wants the garden to have the greatest possible area. What dimensions should the garden have?

__________________________________________________

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Question 147531: Toni has 16 feet of edging to make a flower garden.She wants the garden to have the greastest possible area. What dimensions should the garden have?
_________________________________________________

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Question 147573: Two-thirds of a number x decreased by 5 is 9. Find the number.
Click here to see answer by ptaylor(2198) About Me 
Question 147573: Two-thirds of a number x decreased by 5 is 9. Find the number.
Click here to see answer by mangopeeler07(462) About Me 

Question 147625: Scott's family grass seed sells for $2.45 per pound and Scott's Spot Filler grass sells for $2.10 per pound. How many pounds of each should be mixed to get a 10 pound mixture that sells for approx. $2.20.
Click here to see answer by stanbon(75887) About Me 

Question 147571: Toni has 16 feet of edging to make a flower garden.She wants the garden to have the greastest possible area. What dimensions should the garden have?
_________________________________________________

Click here to see answer by scott8148(6628) About Me 

Question 147635: A store selects four items from a selection of 6 items to arrange in a display. How many different arrangements are possible?
Click here to see answer by edjones(8007) About Me 

Question 147661: could you please help me? a lever 12m long balances weights of 48kg on one end and 24kg on the other end find the lengths of the two aems of the lever. thank you for your much needed help.
Click here to see answer by scott8148(6628) About Me 

Question 147688: one has two 20oz cups of water filled to the brim, and a empty 14 oz cup and a empty 8 oz cup, without dropping any i need 6oz in the 14 and 6 oz in the 8 oz cup. Should take only 6 steps to complete.
Click here to see answer by scott8148(6628) About Me 
Question 147688: one has two 20oz cups of water filled to the brim, and a empty 14 oz cup and a empty 8 oz cup, without dropping any i need 6oz in the 14 and 6 oz in the 8 oz cup. Should take only 6 steps to complete.
Click here to see answer by vleith(2983) About Me 

Question 147873: Melanie's home is worth $125,000, but she still owes $78,422 on her mortgage. She has $21,236 in a savings account and has $9,477 in credit card debt. She owes $6,131 to the credit union and figures that her car and other household items are worth a total of $15,000. What is Melanie's net worth?
Click here to see answer by Fombitz(32388) About Me 

Question 147887: Give the exact and approximate solutions of three decimal places.
x^2+7x-3
exact=
approximate (3 decimal places.)

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Question 147973: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
tan (data) = v^2/gr
Then I have to solve for v and r.
I can't find explanations for this lesson in the net.
Please help me.

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

Question 147972: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
P=l^2R
Then I have to solve for l and R.
I can't find explanations for this lesson in the net.
Please help me.

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

Question 147970: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
p=sgh
Then I have to solve for h.
I can't find explanations for this lesson in the net.
Please help me.

Click here to see answer by oscargut(2103) About Me 

Question 147971: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
B.F.=dgv
Then I have to solve for v.
I can't find explanations for this lesson in the net.
Please help me.

Click here to see answer by Alan3354(69443) About Me 

Question 147969: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
T=2{pie}(square root) L/g
Then I have to solve for L.
I can't find explanations for this lesson in the net.
Please help me.

Click here to see answer by Alan3354(69443) About Me 

Question 147968: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
F=mv^2/r
Then I have to solve for m, v and r.
I can't find explanations for this lesson in the net.
Please help me.

Click here to see answer by nerdybill(7384) About Me 

Question 147963: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
v = Vo*t+at^2
Then I have to solve for Vo,a and t.
I can't find explanations for this lesson in the net.
Please help me.

Click here to see answer by nerdybill(7384) About Me 

Question 147965: Pls. Help!!! I can't understand this lesson. It's called Formula Manipulation
The given:
v^2=Vo^2+2as
Then I have to solve for Vo, s and a.
I can't find explanations for this lesson in the net.
Please help me.

Click here to see answer by Earlsdon(6294) About Me 

Question 146642: A pond is enclosed by a wooden deck that is 3 feet wide. The fence surrounding the deck is 100 feet long.
(a). If the pond is square, what are its dimensions?
(b). If the pond is rectangular and the length of the pond is to be three times its width, what are its dimensions?
(c). If the pond is circular, what is its diameter?
(d). Which pond has the most area?

Click here to see answer by Alan3354(69443) About Me 

Question 148037: A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability of receiving the second is 0.4. The decisions are made independently. Find the probability the student receives exactly one scholarship.
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Question 148034: A group of people consists of 14 men and some women. One man and one woman can be selected in 252 ways. There are _______ women in the group.

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Question 148055: How many ways can three prints be selected from a collection of 10 prints?
Click here to see answer by stanbon(75887) About Me 

Question 142533: Please help me understand and complete this problem. Thanks so very much. Here is the problem:
An architect is designing a half-spherical dome above a circular fountain and path. The architect wants the dome to be only over the fountain and path. The total diameter of the fountain with surrounding path is 45 feet. What is the height of the cover and what is the surface area of the cover?
Tbanks again in advance

Click here to see answer by Alan3354(69443) About Me 

Question 148031: im having a really hard time with this4. (4 pts) Given the diagram below, find a) A U B and b) A ∩ B
in left circle h,f intercircle y,s right circle n,o,w can you understand my explaination of the venn diagram

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Question 148080: Find the training heart rate function (T(m))for a person with a resting heart rate of 77.1 beats per minute. Then, find/determine the following:
a.) Training Heart Rate for a 27-year old person with this resting heart rate?
b.) Training Heart Rate for a 37-year old person with this resting heart rate?
c.) Training heart rate for a 57-year old person with this resting heart rate?

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

Question 148084: R^2=S^2-T^2 Solve for T
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Question 148150: Hello, it's problem solving time and I am needing a little help. Please
Two motorcycles travel toward each other from cities that are about 320km apart at rates of 95 km/hr and 65 km/hr. They started at the same time. In how many hours will they meet?
Thanks for any help,
Paula

Click here to see answer by Alan3354(69443) About Me 

Question 148153: Hi, could someone please help me to understand this problem?
A wood company can convert logs into lumber or plywood. The mill turns out three times as many units of plywood as lumber. A profit of $20 on a untit of lumber and $50 on plywood. How many of each unit must be produced and sold in order to make a profit of $17,680?
Math is my worst subject and I have a very hard time understanding it.
Thanks

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

Question 148238: You commute to work a distance of 80 miles and return on the same route at the end of the day. Your average rate on the return trip is 10 miles per hour faster than your average rate on the outgoing trip. If the round trip takes 3 hours, what is your average rate on the outgoing trip to work?
Let x be the rate for the outgoing trip.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 148318: You and a friend have decided to go into the lawn mowing business. Having done a particular yard several times you note the following. Working together you and your friend can mow the yard in 3 hours. Working alone, it takes you 2 hours more than your friend to mow the yard. How long does it take your friend to mow the yard?
Click here to see answer by stanbon(75887) About Me 

Question 148319: You can walk 10 miles in the same time that it takes to travel 15 miles by bicycle. If the bike's rate is 3 miles per hour faster than your wlaking rate, fing the average rate for each.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 148464: If it takes Jack 4 days to paint a house and it takes Jill 6 days to paint the same house, how much time would it take Jack and Jill to paint the same house together?
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Question 148501: Factor the following polynomial completely: . (Hint x2+9 is a factor)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 148500: If x = 3i is a root of the polynomial P(x) which has real coefficients, then what other root is guaranteed?
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Question 148498: According to the Remainder and Factor Theorems, what can you conclude about x = 2 if P(x) is divided by (x – 2) and the remainder is 10?
Click here to see answer by jim_thompson5910(35256) 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, 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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, 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