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

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Question 439015: A=2mr^2+2mrh solve for h
Click here to see answer by stanbon(75887) About Me 

Question 439204: If I can drive 50 miles on $10 worth gas at $4.00 per gallon, how much will it cost me to drive 450 miles?
Click here to see answer by Alan3354(69443) About Me 

Question 439241: The equation y=-1777x+27153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is, x=0 corresponds to 2000, x=3 correspnds to 2003, x=5 corresponds to 2005, and so on. Predict the number of gun deaths in 2005 and 2009. In what year will the gun deaths be 7606?
Click here to see answer by jorel1380(3719) About Me 

Question 439387: A custom printing shop is planning on adding Painter's caps to it's product line. For the first year, the fixed cost for setting up production are $30,000. The variable cost for producing a dozen caps are $10. The revenue on each dozen caps will be $25.
Total profit P(x)= $15
I need the break even point expressed as follows: (?,?)

Click here to see answer by edjones(8007) About Me 

Question 439445: hi. I have some problem when doing this question.
If John spend $12 a day, he save 3 more days longer than he spend $16 a day. How much money did he have in total..

Click here to see answer by Gogonati(855) About Me 

Question 439661: Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by S(t) = 68 -20 log (t + 1), t ≥ 0.
After what time t was the average score 50%?
This is all I got so far... I do not know where to start or finish please help! thank you.
.5= 68 - 20 log (t + 1), t ≥ 0.

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

Question 439602: A total of $5000 is invested at 3% and 5% annual interest. After 1 year the total interest equals $210. How much money is invested at each interest rate?
Click here to see answer by jorel1380(3719) About Me 

Question 439574: George and John received 537 votes. George received 35 more than John. How many votes did each one receive?
Click here to see answer by jorel1380(3719) About Me 

Question 439717: one apple and five oranges cost twenty nine rupees while three apples and four oranges cost thirty two rupees. find the total cost of four apples and five oranges.
Click here to see answer by mananth(16946) About Me 

Question 439716: the sum of two numbers is twenty five. twice the larger number is equal to three times the smaller one. find the two numbers.

Click here to see answer by mananth(16946) About Me 

Question 439794: Mitch Levy flew his airplane 500 mi against the wind in the same time it took him to fly 600 mi with the wind. If the speed of the wind was 10 mph, what was the speed of his plane in still air? (Let x= speed of the plane in still air.)
Click here to see answer by jorel1380(3719) About Me 

Question 439795: Jane Saska can row 4 mph in still water. She takes as long to row 8 mi upstream as 24 mi downstream. How fast is the current? (Let x= speed of the current.)
Click here to see answer by jorel1380(3719) About Me 

Question 439827: Explain the error in the following:
x^2+2x-15=(x-5)(x+3)

Click here to see answer by richard1234(7193) About Me 

Question 439798: Rational Expressions and Applications:
Ms. Tseng, a high school mathematics teacher, gave a test on perimeter, area, and volume to her geometry classes. Working alone, it would take her 4 hr to grade the test. Her student teacher, Jonah Schmidt, would take 6 hr to grade the same test. How long would it take them to grade these tests if they work together?

Click here to see answer by jorel1380(3719) About Me 

Question 439858: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 160 feet per second is a function of time, x, and is given by the equation f(x) = 160x – 16x2 Find the highest point reached by the projective.
Click here to see answer by Alan3354(69443) About Me 

Question 439897: In a certain fraction, the denominator is 4 less than the numerator. If 3 is added to both the numerator and the denominator, the resulting fraction is equivalent to 3/3. What was the original fraction? Please help!
Click here to see answer by MathLover1(20849) About Me 

Question 439822: Some scientists believe there is a limit to how long humans can live. One supporting argument is that during the last century, life expectancy from age 65 has increased more slowly than life expectancy from birth, so eventually these two will be equal, at which point, according to the scientists, life expectancy should increase no further. In 1900, life expectancy at birth was 46 years, and life expectancy at age 65 was 76. In 2000, these figures had risen to 76.9 and 82.9, respectively. In both cases, the increase in life expectancy has been linear. Using these assumptions and the data given, find the maximum life expectancy for humans.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 439908: If I pay $68.72 for a product at 35% off, how much would it cost at full price?
Click here to see answer by josmiceli(19441) About Me 

Question 439955: Explain the error in the following:
x^2-y^2=(x-y)^2

Click here to see answer by rfer(16322) About Me 
Question 439955: Explain the error in the following:
x^2-y^2=(x-y)^2

Click here to see answer by tinbar(133) About Me 

Question 440153: Write the quadratic function in the vertex form.
y = x2 - 20x
A. y = (x + 20) 2 - 20
B. y = (x - 20) 2 - 400
C. y = (x - 10) 2 - 100
D. y = (x + 10) 2 - 10


Click here to see answer by rapaljer(4671) About Me 

Question 440158: 26. What is the largest possible area of a rectangular plot of land you can enclose with 120 ft. of wire?
A. 720 sq. ft.
B. 800 sq. ft.
C. 900 sq. ft.
D. 3,600 sq. ft.
E.


Click here to see answer by rapaljer(4671) About Me 

Question 440163: The number of fruit flies F(x) in a farming area depends on the spring rainfall x: F(x) = 15x – x^2. What rainfall produces the maximum number of fruit flies?
A. 225 in.
B. 0 in.
C. 7.5 in.
D. 15 in.


Click here to see answer by ewatrrr(24785) About Me 

Question 440156: . The function f(x) = 0.0037x^2 – 0.41x +36.23 models the average age at which Kentucky men were first married x years after 1900. In which year was this average age at a minimum? What was the average age at first marriage for that year?
A. 1955, 47.6 years old
B. 1936, 47.6 years old
C. 1955, 24.9 years old
D. 1951, 36 years old


Click here to see answer by ewatrrr(24785) About Me 

Question 440185: The sum of the length and width of a rectangle is 74. What dimensions give the maximum area?
A. Length 37 and width 37
B. Length 27 and width 47
C. Length 36 and width 38
D. Length 28 and width 46


Click here to see answer by rwm(914) About Me 

Question 440191: THE FLOWER GARDEN HAS THE SHAPE OF A RIGHT TRIANGLE. 10 FT OF A PERENNIAL BORDER FORMS THE HYPOTENUSE OF THE TRIANGLE, AND ONE LEG IS 2 FT LONGER THAN OTHER LEG. FIND THE LENGTHS OF THE LEGS.
Click here to see answer by jorel1380(3719) About Me 

Question 440201: During the first part of a trip, a canoeist travels 77 miles at a certain speed. the canoeist travels 13 miles on teh second part of the trip at a speed 5 mph slower. the total time for the trip is 2 hrs. what was the speed on each part of the trip?
Click here to see answer by jorel1380(3719) About Me 

Question 440217: A castle in the faraway land of Aluossim was surrounded by four moats. One day, the castle was attacked and captured by a fierce tribe from the north. Guards were stationed at each bridge. Prince Juan was allowed to take a number of bags of gold from the castle as he went into exile. However, the guard at the first bridge demaded half of the bags of gold plus one more bag. Juan met his demand and proceeded to the next bridge. The guards at the second, third, and fourth bridges made identical demands, all of which the prince met. When Juan finally crossed all the bridges, a single bag of gold was left. With how many bags did Juan start? (hint:work backwards)
Click here to see answer by jorel1380(3719) About Me 

Question 440454: Hello,
I need to understand how to solve this problem:
Patrick's final grade is calculated as follows: Homework 10%, Test Average 60%, and final exam 30%. His homework average is 30, test average is 83, Patrick wants a B in the course so he needs a final grade of at least 80. What does he need to make on the final exam to get his course grade of 80?
Thank you very much for your help

Click here to see answer by rwm(914) About Me 

Question 440473: How would you measure exactly 10 liters of water into a tub if the only containers you had to measure with were a 7 liter can and a 4 liter can with no markings on either? You are no allowed to put any markings on the can.
Click here to see answer by rwm(914) About Me 

Question 440591: The women’s volleyball team can spend at most $700 for its awards banquet at a local restaurant. If the restaurant charges a $100 setup fee plus $24 per person, at most how many can attend?

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

Question 440768: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work.
After spending $3850 for tables and $1750 for chairs, a convention center manager finds that 30% of his original budget remains. Find the amount that remains. Round to the nearest dollar.


Click here to see answer by ewatrrr(24785) About Me 

Question 440767: Solve the problem. Show all of your work.
To finance her community college education, Marguerite takes out a Stafford loan for $2300. After one year, Marguerite decides to pay off the interest, which is 9% of $2300. How much will she pay?


Click here to see answer by jorel1380(3719) About Me 

Question 440769: Translate the sentence to an algebraic inequality.
John weighs at least 50 pounds.


Click here to see answer by jorel1380(3719) About Me 

Question 440851: In Florida, a ranger notches the external ridges of 12 adult alligators and returns the animals to the swamp. Several months later, a sample of 20 alligators is observed. Six of them are notched. Estimate the number of alligators in the swamp.
Click here to see answer by stanbon(75887) About Me 

Question 440825: if pam can paint a car in 4 hours and pat can paint the same in 6 hours how long will it take for both to paint the car together?
Click here to see answer by jorel1380(3719) About Me 

Question 440872: In the lunchroom, they sold 4 cheese pizzas for every 3 sausage pizzas and every 1 anchovy pizza.If they sold 5 more cheese pizzas than sausage pizzas, how many of each type were sold?Show your work.
Click here to see answer by jorel1380(3719) About Me 

Question 441198: what are 3 different integers with a sum of 1 and a product of 36?
I have no idea how to work this one out could you please explain how
Thankyou

Click here to see answer by robertb(5830) About Me 

Question 441208: An assistant receives a 5% raise, bringing the salary to $46,653, what was the salary before the raise?
Click here to see answer by Euler(11) About Me 

Question 441216: John has two clocks: Clock A and Clock B. Clock A runs properly. Clock B, however, runs fast. It completes a complete rotation of the minute hand in 57 minutes. When, if ever, will the two clocks have the same time? Both clocks start at 12 o'clock.
Click here to see answer by stanbon(75887) About Me 

Question 441209: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $160 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay the first $240, but only 20% of the rest, for what amount of medial bills will plan B save Giselle money? Assume she has over $240 in bills
Click here to see answer by mananth(16946) About Me 

Question 441286: The sum of three consecutive numbers is equal to 21 more than the smallest number.Find all three numbers and show your work.
Click here to see answer by jorel1380(3719) About Me 

Question 441499: 1. A ball is hit upward. Its height h in feet after t seconds is given by
h=-16t^2 + 80t + 4. At what times is the ball 100 feet in the air?
searcheagle@yahoo.com

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

Question 429320: Kids belonging to a Boys and Girls club collected cans and bottles to raise money by returning them for the deposit. If 54 more can than bottles were collected and the number of bottles was 5/11 of the total number of beverage containers collected, how many bottles were collected?
Click here to see answer by thebigdog(1) 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