Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1195077: A baker purchased 10 lb of wheat flour and 15 lb of rye flour for a total cost of $19.25. A second purchase, at the same prices, included 11 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $18.90. Find the cost per pound of the wheat flour and of the rye flour.
Click here to see answer by josgarithmetic(39615)  |
Question 1195080: In a typical elk herd in Yellowstone National
Park. The ratio of males to females is 14 to 46.
a) A biologist spots a herd of 150 elk in the park.
The biologist uses the ratio of males to females
in a typical herd to estimate the number of
males in die herd. How many males would the
biologist expect be in this herd?
b) If p percent of a typical herd of elk is female,
what is the value of p, rounded to the nearest
whole number?
Click here to see answer by josgarithmetic(39615) |
Question 1195083: A baker needs 4 eggs to make a cake and 6 eggs to make a flan. The baker purchases
eggs in cartons of 12. If the baker wants to make 8 cakes and 6 flans, what is the minimum number of cartons the baker must purchase?
Click here to see answer by ikleyn(52771)  |
Question 1195090: Katia designed a wireless headset that she intends to sell. She uses the inequality 100,000 ≤X≤300,000 to estimate the profit x, in dollars, she could make from selling 20,000 headsets. What is the maximum profit, in dollars, she could expect to make per headset sold?
Click here to see answer by ikleyn(52771) |
Question 1195089: A teacher determines a student's course grade by computing the mean of 4 scores: 3 unit test scores and the final exam score. If a student misses a unit test, the final exam score is used once as the final exam score and once in place of the missing unit test score. What is the course grade for a student who receives scores of 76 and 80 on 2 unit tests, misses 1 unit test, and earns a score of 72 on the final exam?
Click here to see answer by ikleyn(52771) |
Question 1195125: Lead Sample on a Farm
Samples, Lead (ppm)
1,1523
2,847
3,1267
4,692
5,1401
6,1088
7,?
To determine whether to buy a plot of land, a farmer is having the soil tested for lead. The table above shows the amount of lead, in parts per million (ppm), in six of the seven samples of soil selected at random. If the average (arithmetic mean) amount of lead in the seven samples, in ppm, is no more than 1200, the farmer will buy the plot of land; otherwise, the farmer will not buy it. What is the greatest possible amount of lead, in ppm, that can be in the seventh sample if the farmer buys the land?
Click here to see answer by Shin123(626)  |
Question 1195136: Danica is mixing iced tea and lemonade to make a punch. She likes the taste of the punch most when she mixes 2 ounces of iced tea with 5 ounces of lemonade. If she uses this same mixing ratio of iced tea to lemonade to make 10.5 liters of punch, how many liters of lemonade will she need?
Click here to see answer by josgarithmetic(39615) |
Question 1195136: Danica is mixing iced tea and lemonade to make a punch. She likes the taste of the punch most when she mixes 2 ounces of iced tea with 5 ounces of lemonade. If she uses this same mixing ratio of iced tea to lemonade to make 10.5 liters of punch, how many liters of lemonade will she need?
Click here to see answer by ikleyn(52771) |
Question 1195168: The efficiency of an engine is the proportion of its fuel energy that the engine can convert into motion energy. The equation E=1-x/p relates an engine’s efficiency, E, to its exhaust temperature x, in kelvins, and its operating temperature p, in kelvins. A particular automobile engine has an operating temperature of 473 kelvins and an exhaust temperature of 293 kelvins. Based on the engine’s efficiency, about how many joules of motion energy can the engine obtain from 40,000,000 joules of fuel energy?
Click here to see answer by ikleyn(52771) |
Question 1195203: Hi
Bob had twice as many books as Tom. Carl had 5 times as many books as Tom. When Bob received some books and Tom bought another 180 books they all had the same number of books.
How many did they have altogether.
Thanks
Click here to see answer by Theo(13342)  |
Question 1195272: The equation p =14.7+0.439d approximates the pressure p, in pounds per square inch, exerted on a driver at a depth of d feet (ft) below the surface of the water. What is the increase in depth that is necessary to increase the pressure by 1 pound per square inch?
Click here to see answer by Alan3354(69443)  |
Question 1195283: To study amoebae in pond water, a student completely filled two cube-shaped containers with samples of pond water. When filled, the first container held 27 cubic centimeters of pond water. The length of each side of the second container was twice the length of each side of the first container. How many cubic centimeters of pond water did the second container hold when filled?
Click here to see answer by ikleyn(52771) |
Question 1195304: The temperature of a cup of cocoa t minutes after it is made is given by the function C(t) = (a + b)(0.95)^t, where a is the temperature of the room, in degrees Celsius, and a + b is the initial temperature of the cocoa. in degrees Celsius. If the cocoa is initially 80°C and the temperature of the room is 20°C, what will the temperature of the cocoa be 2 minutes later, rounded to the nearest degree Celsius?
Click here to see answer by ikleyn(52771) |
Question 1195323: One source recommends that an active person should consume one gram of protein per day for every 2 to 3 pounds of body weight. Based on this source, which of the following inequalities gives the possible values of the number of grams of protein, p, that an active person weighing 190 pounds should consume per day?
A) 60≤p≤90
B) 360≤p≤540
C) p≤60 or p≥90
D) p≤360 or p≥540
Click here to see answer by ikleyn(52771) |
Question 1195348: A certain university classified students as freshmen, sophomores, juniors, seniors, or graduate level. The mean number of students per classification is 6,000. If students classified as graduate level are excluded from the calculation, the mean number of students per classification is 7,000. Which of the following could be the number of students classified as graduate level?
A) 1,000
B) 2,000
C) 4,000
D) 5,000
Click here to see answer by math_tutor2020(3816) |
Question 1195379: For a certain medication, the amount (in milligrams) of the medicine given to a patient in a single dose may vary from 400 milligrams up to and including 550 milligrams. An adult patient can receive at most 3,000 milligrams of this medication in a 24-hour period. How many single doses could an adult patient be given in order to receive exactly the maximum number of milligrams of this medication in a 24-hour period?
A) 3 or 4
B) 4 or 5
C) 6 or 7
D) 8 or 9
Click here to see answer by greenestamps(13198)  |
Question 1195379: For a certain medication, the amount (in milligrams) of the medicine given to a patient in a single dose may vary from 400 milligrams up to and including 550 milligrams. An adult patient can receive at most 3,000 milligrams of this medication in a 24-hour period. How many single doses could an adult patient be given in order to receive exactly the maximum number of milligrams of this medication in a 24-hour period?
A) 3 or 4
B) 4 or 5
C) 6 or 7
D) 8 or 9
Click here to see answer by ikleyn(52771) |
Question 1195425: G=450-3.25t
Amaka planted tomatoes in her garden. The equation above relates the area G,
in square feet, of the unplanted space in the garden to the number of minutes
t after Amaka began planting.
Amaka’s friend Juanita began planting her 375-square-foot garden with tomatoes at the same time as Amaka began, but Juanita worked at one-half Amaka’s rate. If the area of unplanted space in each garden was the same m minutes after both Amaka and Juanita began planting, which of the following is closest to the value of m?
A) 40
B) 43
C) 46
D) 50
Click here to see answer by ikleyn(52771) |
Question 1195452: Hi
in a market,the price of grades A eggs B eggs and C eggs are in the ratio 7:5:4 respectively.Nicole was given some money to buy 2 each of grades A & B eggs. If she spends just 75% of the money,she will be able to buy an equal number of grades B & C eggs. What ratio to the total amount of money will she spend if she chooses to buy only grade C eggs.
Thanks
Click here to see answer by ikleyn(52771) |
Question 1195488: A dietitian makes sure that she always consumes twice as many grams of protein as grams of fat per day. If she needs to eat more than 135 grams of both fat and protein combined to maintain her current muscle mass, which of the following is NOT a possible value for her daily protein count?
A) 90 grams
B) 91 grams
C) 92 grams
D) 93 grams
Click here to see answer by greenestamps(13198) |
Question 1195488: A dietitian makes sure that she always consumes twice as many grams of protein as grams of fat per day. If she needs to eat more than 135 grams of both fat and protein combined to maintain her current muscle mass, which of the following is NOT a possible value for her daily protein count?
A) 90 grams
B) 91 grams
C) 92 grams
D) 93 grams
Click here to see answer by josgarithmetic(39615) |
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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, 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
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