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

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Question 972049: The sum of the ages of Cody and Julia is 97 years. 6 years ago, Cody's age was 4 times Julia's age. How old is Cody now?
Click here to see answer by Boreal(15235)

Question 972057: the admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Click here to see answer by checkley77(12844)

Question 972137: the mean of a set of six numbers is 2 and the mean of another set of ten numbers is m. if the mean of the combined set of sixteen number is 7, find the value of m.
Click here to see answer by Boreal(15235)

Question 972145: John mixed cashews and almonds. John bought 4 pounds of almonds for a total cost of $22. The cost per pound of cashews is 60% more than the cost per pound for almonds. John bought enough cashews that, when he mixed them with the almonds, the mixture had a value of $6.50 per pound. Aprox what percent of the mixture, by weight, was cashews?
I figured the cost per pound for almonds is $5.50 and cost per pound for cashews is $8.80 but having problems with mixture question.
Click here to see answer by rothauserc(4718)

Question 972153: carl can do the gardening in 3 hours, renee can do it in 2 hours, if they work together how long will it take them?
Click here to see answer by solver91311(24713)

Question 972155: Classify the following problems as to whether they are pure-integer, mixed-integer, zero-one, goal, or nonlinear programming problems.
Maximize Z = 5 X1 + 6 X1 X2 + 2 X2
Subject to: 3 X1 + 2 X2 ≥ 6
X1 + X2 ≤ 8
X1, X2 ≥ 0

Minimize Z = 8 X1 + 6 X2
Subject to: 4 X1 + 5 X2 ≥ 10
X1 + X2 ≤ 3
X1, X2 ≥ 0
X1, X2 = 0 or 1

Maximize Z = 10 X1 + 5 X2
Subject to: 8 X1 + 10 X2 = 10
4 X1 + 6 X2 ≥ 5
X1, X2 integer

Minimize Z = 8 X12 + 4 X1 X2 + 12 X22
Subject to: 6 X1 + X2 ≥ 50
X1 + X2 ≥ 40

Click here to see answer by solver91311(24713)

Question 972178: a street that is 294 m long is covered in snow. city workers are using a snow plow to clear the street. a tire on the snowplow has to turn 49 times in traveling the length of the street. what is the diameter of the tire?
Click here to see answer by macston(5194)

Question 972109: When Larry and Susan run a 100 metre race, Larry wins by 10m. They then repeat the race, this time with Larry starting 11m behind the starting line. If both girls run at the same speed as before, who will win the race and by how much?
Please include a brief explanation if possible! Thanks! :)
Click here to see answer by lwsshak3(11628)

Question 972141: the value of an antique car is modeled by the function V(x) = 1007,000(1.009)^(2.3x) where x is the number of years since 2005. By what approximate percent rate is the value of the car increasing per year?
Click here to see answer by josmiceli(19441)

Question 972227: Measure of the center of a set of data.
The middle school football team wants to average 24 points per game. If they have scored 12,48,6,26,38,12, and 42 through the first seven games, how many points must they score in their 8th game?
Click here to see answer by amarjeeth123(569)

Question 972285: An eReader factory has revenues which follow the formula R=x squared +2400x-1320000, Where x is the number of eReaders sold each month. If the factory had $80000 in revenue last month and only has the resources to produce up to 1300 eReaders in a single month, how many eReaders were sold? Show all steps and answer
I'm stumped I think maybe the first step is to replace the x with 1300 in the formula? And replace the R with $80000? I have no clue if that is correct or how to do anything with it from there... Any help would b appreciated please and thank you. And I also apologize for saying squared I don't have a button to make a small 2
Click here to see answer by MathLover1(20849)

Question 971281: If a = -2 and b = -2, what is the value of (a3 - 1) / (b - 1)

Click here to see answer by Fombitz(32388)

Question 972416: a hotel has 12 floors. each floor has 16 single person rooms and 18 two person rooms. what is the total guest capacity of the hotel ?
Click here to see answer by macston(5194)

Question 972449: You are working a part-time job to earn money for an item costing $450. You work 2 hours each Monday, Wednesday, and Friday and 3 hours on Thursday and 4 hours on Saturday. If you receive $12.00 per hour worked, how many full week will you hav enough money to buy this item?
Click here to see answer by Boreal(15235)

Question 972448: An item is sold at a regular price of 2 for $2.60. An advertised special lists the same item for 6 for $6.24. If you bought 12 items at the sale price, how much did you save over the regular price?
Click here to see answer by josmiceli(19441)

Question 972447: You earn $23.40 per hour. How many hours did you work during a day where your total pay was $169.65.
Click here to see answer by checkley77(12844)

Question 972520: Your bakery has 36 pounds of flour on hand. You need 2.7 pounds of flour for a certain recipe for loaves of bread. How many recipes can be made with the amount of flour on hand ? ( round to the nearest tenth of a recipe )?
Click here to see answer by rfer(16322)

Question 972483: Brand X copier has improved its copier so that it produces 10% more copies than its old model. If the old model ran 420 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number.

Click here to see answer by macston(5194)

Question 972705: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she use?
Click here to see answer by josmiceli(19441)

Question 972775: A senior center purchase tickets for a magic show at the Rose Center. One week they paid $108 for 6 tickets in section A and 10 tickets in section B. The following week, they paid $104 for 4 tickets in section A and 12 tickets in section B. What is the price of the tickets in section A?
Click here to see answer by lwsshak3(11628)

Question 972834: There were 365 tickets sold for a basketball game. The activity cardholders tickets cost $1.75 and the non-cardholders tickets cost $2.50. The total amount of money was $675.50. How many of each kind of ticket were sold.
Click here to see answer by anand429(138)

Question 972818: Mrs. Bailey gives a test, and her students� scores range from 30 to 70. She decides to curve the scores, so that they range from 65 to 95. Let �x� be an original score, and �y� be a curved score. Using the ordered pairs (30,65) and (70,95), write the equation in slope/intercept form that she should use to curve the test scores.
what will the original score of 62 become?
Click here to see answer by Boreal(15235)

Question 972824: Outline and describe the necessary steps to conduct a simulation. Describe your answer in full.
Click here to see answer by solver91311(24713)

Question 972682: sally's sofa is 18 decimeters long. How many meters is sally's sofa
Click here to see answer by Theo(13342)

Question 972976: the local college finds that the cost of producing cds for their distance learning program is $550 and $2 per cd and there are 10 cds in each course packet. the cd packet sells for $45 each. find how many students must purchase the packet in order for the college to break even.
Click here to see answer by macston(5194)

Question 973040: an investment of rs 60,000 and 70,000 respectively yield an income of rs 5,750 and 6,500 then an investment of rs 90,000 would yield income of rupees..?
options-7500,7750,7800,8000
kindly provide me solution of above problem...its very urgent...pls provide soon....
Click here to see answer by Theo(13342)

Question 973319: Please help me form an equation for the problem below:
Carbon-11 decays into boron at the rate of roughly 3.5% per minute. What is the half-life of carbon-11?
Click here to see answer by josgarithmetic(39613)

Question 973375: The sum of the squares of two consecutive positive integers is 61. Find these two numbers
Click here to see answer by macston(5194)

Question 973375: The sum of the squares of two consecutive positive integers is 61. Find these two numbers
Click here to see answer by Alan3354(69443)

Question 973550: please help me solve this equation:
a rectangular piece of cardboard, whose area is 304 square cm, is made into an open box by cutting 2cm square from each corner and turning up the sides. if the box is to have a volume of 360 cubic cm, what size cardboard should you start with?
i have gotten all the way to (x^3)+1440-304x=0 and i have no clue what to do form here on out.
Thank you in advance
Click here to see answer by josgarithmetic(39613)

Question 973632: If one ton of recycled cell phones produce 300 grams of gold, and 3 grams of gold are used in one gold ring, how many rings can be produced from 17 tons of phones?

Click here to see answer by Boreal(15235)

Question 973731: Quite long: I have the answer already, I would like to make sure I did it correctly, thank you!
Ship it here is a comoany that specializes in shopping freght in medium sized boxes. The company limits the boxes that it will ship to those who's sum of the length, height and width is at least 100 cm but no more then a 1000. Gadgets to go is another comoany that ships their products in boxes which has integer dimensiones such that their length, width, height are in the rations 4:3:5. The largest they use to ship any product has a volume less then 2 cubic centimeters. Determine the dimensions of both the smallest and largest which can be shipped by gadgets to go and ship it here.
I basically took 4x+3x+5x=100 and 4x x 5x x 3x
From the on I used guess and check.
Here are my answers:
The largest box has: 128, 96 and 160 as their dimensions
Smallest: 36,27 and 45
Thank you!
Click here to see answer by KMST(5328)

Question 973755: What is the perimeter of a rectangle (2x+6)cm long and (x-3)cm wide?
Click here to see answer by farohw(175)

Question 973806: the product of twice a number and three is the same as the difference of five times the number and 3/4. find the number.
Click here to see answer by JulietG(1812)

Question 973937: James wants to buy a new rug for his living room. In a department store he finds a square rug that has an area of 9 m�. How long is each side of the rug? How many of those rugs are needed to cover an area of 36 square meters? If the room has a square area of 16 square meters and the rug is placed in the middle of the room, how much space would there be between each side of the rug and the wall?
Click here to see answer by josgarithmetic(39613)

Question 973891: Kerry can stick 10 fences posts into the ground for 4 hours. Working with Sam, they can stick 10 fences posts into the ground in 3 hours. How long would it take Sam to stick 10 fences posts into the ground?
Click here to see answer by josgarithmetic(39613)

Question 319763: Fresh grapes contain 80% water by weight, whereas dried grapes contain 15% water by weight. How many pounds of dried grapes can be obtained from 34 pounds of fresh
grapes?
Click here to see answer by Bikash1990(1)

Question 973951: Jim has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests?
Click here to see answer by rothauserc(4718)

Question 973952: Seven students took a quiz. Four of these students received a score above 85 percent. Students who received at least an 85 percent got a sticker. What percent of the students (rounded to the nearest full percentage number) received a sticker?
Click here to see answer by JulietG(1812)

Question 973959: You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?
Click here to see answer by Edwin McCravy(20054)

Question 974021: By completing the square, or otherwise, prove that the inequality x^2 - 2px + q > 0 holds for all values of x if an only if q > p^2.
Find the range of values of x in terms of p for which the inequality is broken if q = p^2 - 1
Click here to see answer by josgarithmetic(39613)

Question 974022: If f(x) = x^4 + ax^3 - 3x^2 - 2ax + a^2 is a perfect square and has a factor of (x+2), find the value of a. Use this value of a to obtain square root of f(x) in factored form.
Click here to see answer by josgarithmetic(39613)

Question 974182: June can complete a quilt in 16 days Molly can complete the same quilt in 12 days and Maria can complete the same quilt in 14 days. If the three work together how long will it take them to complete the quilt?
Click here to see answer by josmiceli(19441)

Question 974256: Machine prints 12 1/4 Pages per minute. Ir it runs 700 minutes, how many Pages will it print?
Click here to see answer by rfer(16322)

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, 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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, 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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