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

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Question 183085: Page 132 (problem 95): A length of wire 16 inches is to be cut into two pieces, and then each piece will be bent to form a square. Find the length of the two pieces if the sum of the areas of the two squares is 10 square inches.
(x/4)^2 + ((16-x)/4)^2 = 10
I've gotten this far but can't figure out the next steps to solve it.
Thank you, Lynn Scott

Click here to see answer by scott8148(6628) About Me 
Question 183085: Page 132 (problem 95): A length of wire 16 inches is to be cut into two pieces, and then each piece will be bent to form a square. Find the length of the two pieces if the sum of the areas of the two squares is 10 square inches.
(x/4)^2 + ((16-x)/4)^2 = 10
I've gotten this far but can't figure out the next steps to solve it.
Thank you, Lynn Scott

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

Question 182992: Complete the magic square below. This box has a total 9 blocks 3 on top and 3 down each row. On the first row and inthe last box 21 goes in there. On the second row in the middle box 19 goes in there. On the last row, in the first box 17 gowes in there and in the last box 26 goes in there.

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

Question 183137: a druggist has 8 quarts of 10% solution of acetic acid and water.How many quarts of 50% solution of acetic acid and water must he add to make a 30% solution of acid.
Click here to see answer by nerdybill(7384) About Me 

Question 183147: {the sum of two numbers is 72. if twice the smaller number is 3 more than the greater, find them}
Click here to see answer by Mathtut(3670) About Me 

Question 183208: The perimeter of a rectangle is 60m. The length is 6m. more than twice the width. Find the length and the width.
Click here to see answer by stanbon(75887) About Me 

Question 183302: Find the counterexample to the statement: "The square of a number added to the sum of the number and five is a prime number. I started with the square root of 16, which I know is 4,but this is as far as I can get with setting this up....Help!!!
Click here to see answer by user_dude2008(1862) About Me 

Question 183288: One checking plan charges $3 per month plus 12 cent per check. Another plan charges 24 cent per check. For how many checks per month are the costs of the two plans the same?
Click here to see answer by edjones(8007) About Me 

Question 183370: Two cards are drawn from an ordinary deck of 52 cards. Find the probability of each event, showing reasoning carefully.
a. two aces
b. two red cards
c. two red aces
d. two honor cards (A, K, Q, J, 10)

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

Question 183371: use a proportion to determine the number of trout in a lake, a conservationist catches 112 trout, tags them and returns them to the lake. Later, 82 trout are caught, and 32 of them are found to be tagged. How many trout are in the lake?
Click here to see answer by user_dude2008(1862) About Me 

Question 183377: One pump fills a tank 4 times as fast as another pump. If the pumps work together, they fill the tank in 28 minutes. How long does it take for each pump to fill the tank?
It takes the faster pump ______ minutes to fill the tank when working alone and it takes the slower pump ______ minutes.

Click here to see answer by vleith(2983) About Me 

Question 183399: The current in a wire varies directly as the voltage and inversely as the resistance. What happens to the current when the voltage triples and the resistance is doubled?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 183484: The decimal system we use is based on the number 10. For example, the number 132 is 1x10^2 + 3x10^1 + 2x10^0. However, numbers other than 10 can be used as the base of a number system. The binary system is based on 2. ( Determine the value in base 10 of each of the given base 2 numbers:
.
a) 1100 b) 1110 c) 11111 d) 100000
. So this is what i tried: a) (1)2^3 + (1)2^2 + (0)2^1 + (0)2^0. so a = 12?
PLEASE HELP ME! I AM SO LOST! THANK YOU FOR ANY IDEAS AND HELP YOU CAN GIVE!

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

Question 183467: two cards are drawn from an ordinary deck of 52 cards. Find the probability of
a. two red aces
b. two honor cards ( A K Q J 10)

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

Question 183489: Veritas (people who tell the truth) always speak the truth, and Prevars (liars) always lie. A stranger in their country meets a party of three and asks to which group each belongs. The first mumbles an answer which the stranger cannot hear. The second says, " He said he was a Prevars." The third says tot he second, "You're a liar!" Of what group was the third?
PLEASE, PLEASE HELP! I AM SO CONFUSED, PLEASE HELP IF YOU CAN! THANK YOU!

Click here to see answer by ptaylor(2198) About Me 

Question 183505: The length of one leg of a right triangle is 7 meters less than the length of the other leg. the length of the hypotenuse is 13 meters. find the lengths of the legs.
Click here to see answer by checkley77(12844) About Me 

Question 183496: The length of one leg of a right triangle is 7 meters less than the length of the other leg. The length of the hypotenuse is 13 meters. Find the lengths of the legs.
Click here to see answer by checkley77(12844) About Me 

Question 183662: This question I do not understand:
Explain how to use addition to find the product of 6 and -8. I thought you use the product when you multiply. So this question is confusing to me.
Thank you.

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

Question 184067: Perimeter.
Write a formula for the perimeter of a square as a function of its area

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

Question 184066: Area of a sign.
A sign is in the shape of a square with a semicircle of radius x adjoining one side and a semicircle of diameter x removed from the opposite side. If the sides of the square are length 2x, then write the area of the sign as a function of x.

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

Question 184097: A worker can cover a parking lot with asphalt in 10 hours. With the help of an assistant, the work can be done in 6 hours. How long would it take the assistant, working alone, to cover the parking lot with asphalt?

worker a 10(1/10)
worker b t(1/6)
10(1/10)=t(1/6)
I think I am setting the problem up wrong. Thank you.

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

Question 184078: average wingspan of a bird when weight is 2.6 lbs. L=2.43%2AW%5E0.3326
Click here to see answer by Alan3354(69443) About Me 

Question 184096: You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price. A local retail store, which gets its merchandise at the same wholesale price, offers to sell you those same items at 10% off the shelf price. What does the retail store’s markup have to be for it to be cheaper for you to buy through your club? Show your work and explain your thinking.
Click here to see answer by solver91311(24713) About Me 

Question 184108: What is the population density of a city with 425,000 people in 1,872 square miles? express each ratio as a fractionin simplist form. If we completed correctly, we came up with 53125/234 - is this the correct answer?
Click here to see answer by vleith(2983) About Me 

Question 184107: What is the population density of a city with 425,000 people in 1,872 square miles? express each ratio as a fractionin simplist form. If we completed correctly, we came up with 53125/234 - is this the correct answer?
Click here to see answer by stanbon(75887) About Me 

Question 184153: Pictorally with explanations, illustrate the necessity of using common denominators when adding fractions with different denominators. (I am in school for being a teacher and this concept seems hard to teach)
Click here to see answer by stanbon(75887) About Me 

Question 184159: A man is setting out 180 plants in rows, each row having the same number of plants in it. If there were 40 more plants in each row, the man would need 6 fewer rows. How many rows are there?
Click here to see answer by ptaylor(2198) About Me 

Question 184145: On May 12 a snail fell to the bottom of a 20 foot deep well. Each day it crawled 3 feet up the side of the well and each night it slid back 2 feet. On what date did the snail reach the top of the well?
Click here to see answer by solver91311(24713) About Me 
Question 184145: On May 12 a snail fell to the bottom of a 20 foot deep well. Each day it crawled 3 feet up the side of the well and each night it slid back 2 feet. On what date did the snail reach the top of the well?
Click here to see answer by ptaylor(2198) About Me 

Question 184273: Talia's Tallitot. Talia plans to make tallitot (prayer shawls) and matching kipot (prayer hats) from a bolt of material. The fabric she plans to use is 250 yards long. She will need 2 yards of material for each tallit (prayer shawl) and (1/6) of a yard for each kipah (prayer hat). She also plans to put tzitzit (fringes) on the tallit and will need 1 yard of cord for each tallit. The kipot will not have any fringes. She has 100 yards of cord to use for the tzitzit.

1-1. Write two equations to use to solve for how many kipot and tallitot she can make from the supplies on hand. Let t equal the number of tallitot made and k equal the number of kipot made.

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

Question 184330: A man is carrying rice on a journey. He passes through three custom stations. At the first he gives up 1/3 of his rice; at the second he is allowed to keep 1/3 of what is left; at the second he is allowed to keep 1/3 of what is left; and at the third. After passing through all three customs stations, he has 6 pounds less than he started with. How much rice did he have when he started?
I have been struggling with this problem for over a week now and still can't even figure out where to start. Thanks for the help

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

Question 184445: THE DIFFERENCE BETWEEN 329 AND HALF OF A NUMBER IS 150. WHAT IS THE NUMBER?
Click here to see answer by jojo14344(1513) About Me 
Question 184445: THE DIFFERENCE BETWEEN 329 AND HALF OF A NUMBER IS 150. WHAT IS THE NUMBER?
Click here to see answer by edjones(8007) About Me 

Question 184603: jen is putting a fence in her rectangular garden. The length of her garden is 12 feet and the width of her garden is 14 feet. how many feet of fencing will she need?
Click here to see answer by vleith(2983) About Me 

Question 184577: A road crew can pave 1.5 miles of road in an eight hour shift. If they were stopped after two hours because of weather conditions, how many feet of road did they pave? (5280 feet = 1 mile)
Click here to see answer by jojo14344(1513) About Me 

Question 184700: the sum of 4 numbers got by aDDING,SUBTRACTING,DIVIDING AND MULTIPLYING 2 NUMBERS IS 441. FIND THE 2 NUMBERS
Click here to see answer by J2R2R(94) About Me 

Question 184761: A tugboat can pull a barge 60 miles upstream in 15 hours. the same tugboat and barge can make the return trip downstream in 6 hours. Find the speed of the current in the river
Click here to see answer by stanbon(75887) About Me 

Question 184791: An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for: a) a test score of 232 b) a test score of 212
Help please?????

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

Question 184848: Please help me with the following questions.I dont understand what Im doing.
In a survey of 75 consumers, 12 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 24 said they were going to buy a new washer. Of these, 6 were going to buy both a car and a refrigerator, 4 were going to buy a car and a washer, and 10 were going to buy a washer and a refrigerator. One person indicated that she was going to buy all three items.
Construct a Venn diagram, label your diagram clearly. Use your diagram to answer the following questions:
(a) How many were going to buy only a car?
(b) How many were going to buy only a washer?
(c) How many were going to buy only a refrigerator
(d) How many were going to buy a car and a washer but not a refrigerator?
(e) How many were going to buy none of these items?
Please help me

Click here to see answer by josmiceli(19441) About Me 
Question 184848: Please help me with the following questions.I dont understand what Im doing.
In a survey of 75 consumers, 12 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 24 said they were going to buy a new washer. Of these, 6 were going to buy both a car and a refrigerator, 4 were going to buy a car and a washer, and 10 were going to buy a washer and a refrigerator. One person indicated that she was going to buy all three items.
Construct a Venn diagram, label your diagram clearly. Use your diagram to answer the following questions:
(a) How many were going to buy only a car?
(b) How many were going to buy only a washer?
(c) How many were going to buy only a refrigerator
(d) How many were going to buy a car and a washer but not a refrigerator?
(e) How many were going to buy none of these items?
Please help me

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

Question 184882: A stamp collection of 109 stamps has a total value of $23.47. The collections consists of 5cent stamps, 11cent stamps, and 25cent stamps. The number of 25cent stamps is five time the numberof 11cent stamps. Find the number of 5cent stamps in the collection.
Click here to see answer by josmiceli(19441) About Me 

Question 184933: Frankie and Johnny begin reading a novel at the same time. Frankie reads 8 pages a day and Johnny 5 pages a day. If Frankie is on page 72, what page is Johnny on?
Click here to see answer by checkley77(12844) About Me 

Question 184833: Coffee that sells for $3.40 per pound is mixed with coffee that sells for $4.50 per pound in order to create 6 pounds of a blend that sells for $4.06 per pound. How much of each was used to create the new mixture?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 185099: Divide $6.00 among 3 students so that when Amy gets 3 cents, Bono gets 5 cents, and Teri gets 7 cents. how much does each receive?
Click here to see answer by stanbon(75887) About Me 

Question 185086: a gardener has 120 ft of deer resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area enclosed to be at least 800 ft² what range of values is possible for the length of her garden?
please help.

Click here to see answer by edjones(8007) 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