Tutors Answer Your Questions about Equations (FREE)
Question 1079150: In a certain orchard there are 4 more rows of trees than there are trees in a row; and if the same number of trees were so arranged that there should be 64 added to each row, the number of rows would be reduced to 4. How many trees are there in the orchard?
Click here to see answer by Boreal(15235)  |
Question 1079307: A standard deck of cards has 4 suits (hearts, diamonds, spades, and clubs) each with 13 cards in it (ace -10, jack, queen, and king). The number cards are 2-10.
When drawing a card randomly from a deck, what is the probability that it will be either a diamond or a number card?
Click here to see answer by Boreal(15235)  |
Question 1079291: Please help me solve this
Suppose the quantity Q, in mg, of medicine in a patient’s bloodstream is decreasing by 25% each 40 minutes. Let us write Q = f(T), where T is in minutes since the injection of medicine. Suppose the injection contains 300 mg of medicine.
(a) Construct a table of values for Q as a function of T over a few hours.
(b) Find a formula for f in the form A × B^T, or an equivalent form.
(c) Let th be the time taken for the quantity of medicine in the bloodstream to halve. By a process of guessing and checking, estimate the value of Th (accurate to 3 significant figures).
(d) Determine the exact value of Th.
(e) Show that the halving time is constant. That is, show that starting from an arbitrary time
T= a, the quantity of medicine is halved after an additional time Th.
(f) Sketch a graph of the function over a 4 hour period since the injection.
(g) The patient can receive a new injection when the quantity of medicine is less than 2% of the original dose. For simplicity, this time delay is measured in a whole number of hours. Determine the wait time. For medicinal safety, should we round up or down to the nearest hour?
Click here to see answer by Theo(13342)  |
Question 1079456: jaidee was planning a trip to the eastern caribbean island. before goin, she did some research and learned that the exhange rate is 3 eastern carribean dollars for $2.5. how many eastern carribean dollars would she get if she exchanged $34? pls show me how to solve it. thanks
Click here to see answer by Boreal(15235)  |
Question 1079510: Hi my name is Carlena, I'm completely stuck on trying to model this word problem into an algebra equation. I'm not sure where to start to even get this equation started. I just know the $10,000, the Saving's Account APR of 2.64%, the Mutual Fund's APR of 8.9%, the time: one year, and wanting to earn $750 is all important. Also, I might need two equations one for the saving's account and one for the mutual fund. How can I turn this word problem into an equation algebraically? Please help, thank you! :)
The word problem: Cathy just won $10,000 in the Oregon state lottery. She wants to put some of the money in an account where it is accessible and to commit the rest to a long-term investment. She has been considering a savings account which has been paying an annual percentage rate (APR) of 2.64% and a mutual fund which has been paying an APR of 8.9%. At the end of one year, Cathy hopes to earn $750. How much money must she invest in each type of account.
Click here to see answer by MathTherapy(10552)  |
Question 1079514: A standard deck of cards has four suits (hearts, diamonds, spades, and clubs) each with 13 cards in it (1-10, jack, queen, and king). The face cards are jack, queen, and king.
When drawing a card randomly from a deck, what is the probability that it will be either a club or a face card?
Click here to see answer by Boreal(15235)  |
Question 1079514: A standard deck of cards has four suits (hearts, diamonds, spades, and clubs) each with 13 cards in it (1-10, jack, queen, and king). The face cards are jack, queen, and king.
When drawing a card randomly from a deck, what is the probability that it will be either a club or a face card?
Click here to see answer by josmiceli(19441)  |
Question 1079535: For a meshed gear of a fixed radius, the number of revelations per minute varies inversely as the number of the gear teeth. If a particular gear had 100 teeth, it would revolve as 10 revolutions per minute(rpm). What rpm would result if the number of teeth were reduced to 25?
Click here to see answer by stanbon(75887) |
Question 1079637: A standard deck of cards has four suits (hearts, diamonds, spades, and clubs) each with 13 cards in it (1-10, jack, queen, and king). Face cards are all the jacks, queens, and kings. The red cards are any cards in the hearts or diamonds suits, while black cards are any cards in the spades or clubs suits.
When drawing a card randomly from a deck, what is the probability that it will be either a black card or a face card?
Click here to see answer by Boreal(15235)  |
Question 1079708: Mary wants to make a box. She starts with a piece of cardboard who's the length is 15 cm in width is 10 cm. Then she cuts for congruent squares with sides of 3 cm at the four corners and folded at the broken lines to make the box . What is the volume of the box? Show your work
Click here to see answer by josgarithmetic(39617) |
Question 1079829: Julia and Ming are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Julia sold 12 blueberry pies and 3 blackberry pies for a total of 144.00. Ming sold 5 blueberry pies and 9 blackberry pies for a total of $215.00. Find the cost each of one blueberry pie and one blackberry pie.
Click here to see answer by josgarithmetic(39617) |
Question 1079952: The distance between kansas city, missouri and denver is 600 miles. On a certain wall map, this is presented by a lenght of 2.4 feet. On this map, how many feet would be there be between memphis and philadelphia, two cities that are actually 1,000 miles apart
Click here to see answer by jorel1380(3719)  |
Question 1079710: Two balls A and B rotate along a circular track. Bought a makes 4 full rotations in 120 seconds. Ball B makes three full rotations in 60 seconds.if they start rotating now from the same point, when will they be at the same starting point again? Show your work
Click here to see answer by Alan3354(69443)  |
Question 1080032: a chain saw requires a mixture of 2-cycle engine oil and gasoline. according to the directions on a bottle of oregon 2-cycle engine oil, 1.8 fluid ounces of oil are required for 1 gallon of gasoline. for 3.24 gallons, how many fluid ounces of oil are required? can you show me how to solve it. thanks.
Click here to see answer by josmiceli(19441)  |
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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, 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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580
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