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Question 1205397: A train 180m long travels through a station at 60km/h.
Find how many seconds it takes for the train to pass a person who is standing on the station platform.
Click here to see answer by ikleyn(52747)

Question 1205401: a) The telephone poles along a road are 20m apart and a car travels from the first to the fifteenth in 10½ seconds. Calculate the speed of the car in km/h.
b) A tankful of water lasts 15 weeks if 3 litres a day are used.
How long will the tankful last if 10 litres a day are used?

Click here to see answer by ikleyn(52747)

Question 1205400: The cost price, ₦2,500 of a radio is reduced by ₦750.
a) Find the ratio by which the price is reduced.
b) Express the price reduction as a rate of kobo in naira.

Click here to see answer by Theo(13342)

Question 1205399: A teacher's income increased in the ratio 47:40. Find the percentage increase.
Click here to see answer by Bogz(13)

Question 1205398: A train normally travels between two stations at v km/h. If its average speed is increased in the ratio m:n, will it take more or less time?
In what ratio is the time changed?
Click here to see answer by Theo(13342)

Question 1205421: Given that f inverse (t)=u, express t in terms of u.
Click here to see answer by Edwin McCravy(20054)

Question 1205421: Given that f inverse (t)=u, express t in terms of u.
Click here to see answer by ikleyn(52747)

Question 1205421: Given that f inverse (t)=u, express t in terms of u.
Click here to see answer by Alan3354(69443)

Question 1205421: Given that f inverse (t)=u, express t in terms of u.
Click here to see answer by mccravyedwin(405)

Question 1205424: The angle of elevation of the top of a flagpole from a point on level is 30°. From another point on the ground 20m nearer the flagpole, the angle of elevation is 60°. Calculate the height of the flagpole.
Click here to see answer by math_helper(2461)

Question 1205426: A tripod consists of three legs each 1.05m long. The height of the top of the tripod above the ground is 90cm. What is the inclination of each leg to the horizontal.
Click here to see answer by MathLover1(20849)

Question 1205428: A radioactive substance is decaying use the formula s=y(e raised to -0.04t) where y is initial amount and s is the amount remaining after t years.
A.) If y = 50grams how much mass will be left after 5 years of decay
B.) How long will it take for the mass to decay to half of the original mass (y = 50g)
Click here to see answer by josgarithmetic(39613)

Question 1205425: A point Y is 400m north-west of X. A tree is north-east of Y and on a bearing 015° from X. Find the distance of the tree from
a) X
b) Y
Click here to see answer by Alan3354(69443)

Question 1205423: The angle of depression of a point on the 225m contour line is 10.2° from the top of a hill 915m high. Calculate the horizontal distance between the two points.
Find the difference between this distance and the actual distance between the two points.
Click here to see answer by ikleyn(52747)

Question 1205447: If 10,000 bacteria live in a test tube at 12pm and grow continuesly to 13000 at 3pm. Use the formula A= pe raised to rt, and find how many bacteria at 7pm. Where a is new population of bacteria, p is initial population of bacteria, and r is the growth rate, and t is time in hrs.
Click here to see answer by greenestamps(13195)

Question 1205446: A hollow metal sphere is made of metal 4mm thick and has an external diameter of 12cm. If the density of the metal is 8.8g/cm³, What is the mass of the sphere?
Click here to see answer by greenestamps(13195)

Question 1205443: 6.6mm of rain fall onto a rectangular roof 8m long and 6m wide. The rain water drains into a cylindrical barrel of diameter of 60cm. How far does the water level rise in the barrel?
Click here to see answer by ikleyn(52747)

Question 1205444: A cylindrical tin 8cm in diameter contains water to a depth of 4cm. If a cylindrical wooden rod 4cm in diameter and 6cm long is placed in the tin, it floats exactly half submerged. What is the new depth of water?
Click here to see answer by ikleyn(52747)

Question 1205445: A circle and a cone are inside a cylinder and the diameters and heights of the solids are equal.
a) What fraction of the volume of the cylinder is
i) the sphere
ii) the cone?
b) What is the ratio of the curved surface area of the sphere to that of the cylinder?
Click here to see answer by Edwin McCravy(20054)

Question 1205442: Water in a 14mm diameter pipe flows at 2m/s. How many litres flow along the pipe in 1 minute?
Click here to see answer by Edwin McCravy(20054)

Question 1205457: A sphere and cone are inside a cylinder and the diameters and heights of the solids are equal.
a) What fraction of the volume of the cylinder is
i) the sphere
ii) the cone?
b) What is the ratio of the curved surface area of the sphere to that of the cylinder?
Click here to see answer by ikleyn(52747)

Question 1205486: A cone is half full in volume, how deep is the water in the cone if it is 12cm in diameter at the top and the total height of the cone is 16cm.
Click here to see answer by Edwin McCravy(20054)

Question 1205505: True or False: (Show your solution)
a. In modulo 11 is -7^(-1) - 9 = - 8^(-1)?
b. In modulo 13 is - 1/7 - 1/3 = - 1/5 ?
c. In modulo 11, is 3^(-1) - 1/9 = - 1/8?
d. In modulo 17 is - 8 - 1/7 = - 5^(-1)?
e. In modulo 13 is - 5 - 1/6 = - 6^(-1) ?

Click here to see answer by ikleyn(52747)

Question 1205504: Using S3 permutation. Find the product of the following:
a). α^2β
b). γ^2∅^2
c). ταβ

Click here to see answer by ikleyn(52747)

Question 1205513: A conical vessel is 10cm deep. if it is half-filled with water, use tables to find the depth of the liquid to 2 significant figures.
Click here to see answer by ikleyn(52747)

Question 1205538: Which number exceeds the difference between 300 and 100 by 500?
Click here to see answer by ikleyn(52747)

Question 1205541: how many kids are in the chorus if no one is younger than 10 years old, 20 kids are 10 or younger, 8 are older than 10, and six are older than 11?
Click here to see answer by greenestamps(13195)

Question 1205539: The ones digit of the largest multiple of 7 thats less than 1000 is __?
Click here to see answer by MathLover1(20849)

Question 1205539: The ones digit of the largest multiple of 7 thats less than 1000 is __?
Click here to see answer by greenestamps(13195)

Question 1205539: The ones digit of the largest multiple of 7 thats less than 1000 is __?
Click here to see answer by ikleyn(52747)

Question 1205571: A two-digit number is such that its tens digit is greater than its unit digit by 4. The two-digit number is less than 4 times the product of its digits by 11. Find the number
Click here to see answer by ikleyn(52747)

Question 1205600: The polynomial x^4 + 3x^2 + a. where a is a constant, is denoted by p(x). It is given that x^2 + x + 2 is a factor of p(x). Find the value of a and the other quadratic factor of p(x).
Click here to see answer by greenestamps(13195)

Question 1205610: Expand (1+4x)^-1/2 in ascending powers of x, up to and including the term in x^3. simplifying the coefficients.
Click here to see answer by Edwin McCravy(20054)

Question 1205609: Expand 1/(2+x)^3 in ascending powers of x, up to and including the term in x^2. simplifying the coefficients
Click here to see answer by Edwin McCravy(20054)

Question 1205623: Given the function f(x) = 1/x and g(x) = 1/x-1 , determine the equation for h(x) =f(x)÷ g(x). And state the domain of h(x)
Click here to see answer by josgarithmetic(39613)

Question 1205623: Given the function f(x) = 1/x and g(x) = 1/x-1 , determine the equation for h(x) =f(x)÷ g(x). And state the domain of h(x)
Click here to see answer by Edwin McCravy(20054)

Question 1205608: Let f(x) = (x^2 + 7x - 6)/(x-1)(x-2)(x+1)
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^4 and higher powers to be neglected, f(x) = -3 + 2x - (3/2 x^2) + (11/4 x^3)
Click here to see answer by Edwin McCravy(20054)

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