Tutors Answer Your Questions about Linear-systems (FREE)
Question 1099448: Ally's hotel ordered 200 flowers for annual celebration. They ordered carnations at 1.50 each, roses at 5.75 each, and daisies at 2.60 each. They ordered mostly carnations and 20 fewer roses than daisies. The total order came to 589.50. How many of each type of flowers was ordered?
Click here to see answer by ikleyn(52786)  |
Question 1099448: Ally's hotel ordered 200 flowers for annual celebration. They ordered carnations at 1.50 each, roses at 5.75 each, and daisies at 2.60 each. They ordered mostly carnations and 20 fewer roses than daisies. The total order came to 589.50. How many of each type of flowers was ordered?
Click here to see answer by greenestamps(13200)  |
Question 1099450: The Swanzy arcade in Accra uses 3 different colored tokens for their game machines. For $20, you can purchase any of the following mixtures of token. 14 gold, 20 silver and 24 bronze: OR, 20 gold, 15 silver and 19 bronze: OR, 30 gold, 5 silver and 13 bronze. What is the monetary value of each token?
Click here to see answer by greenestamps(13200)  |
Question 1099734: Newton's Law of Cooling governs the temperature of an object T(t)T(t) initially at temperature T0T0 as a function of time when placed in an environment with temperature TeTe . The object's temperature is given by the equation T(t)=Te+(T0−Te)e−rtT(t)=Te+(T0−Te)e−rt where rr is the cooling rate of the system.
Billy Jean cooked 1lb. of linguini in a pot of boiling water (212F). When the pasta was perfectly al dente, she turned off the stove and enjoyed her dinner. When she returned to the pot 15 minutes later, the water was 102F. If the rate of cooling of water is r=0.1r=0.1 , what is the temperature in Billy Jean's kitchen? Round your answer to one decimal place.
Click here to see answer by Fombitz(32388)  |
Question 1099735: Write a system of three equations to solve applied problems
The concentration of dissolved oxygen in water varies with temperature. Between 0∘C−50∘C0∘C−50∘C , the relationship can be modeled as a quadratic function. Use the data in the table below to write a system of equations that, if solved, would help you find the quadratic function.
T ( ∘C)∘C) Dissolved oxygen (mgL)(mgL)
10 11.27
20 9.07
30 7.54
Click here to see answer by Alan3354(69443)  |
Question 1099829: Newton's Law of Cooling governs the temperature of an object T(t)T(t) initially at temperature T0T0 as a function of time when placed in an environment with temperature TeTe . The object's temperature is given by the equation T(t)=Te+(T0−Te)e−rtT(t)=Te+(T0−Te)e−rt where rr is the cooling rate of the system.
A dish of lasagna is backed at 375F and placed on the counter of the kitchen at room temperature (68F). After 6 minutes, the lasagna cooled to 318F. What will its temperature be 9 minutes later (15 minutes after it was removed from the oven)? Round your answer to one decimal place.
By the way this is a similar question to the one I posted yesterday, but there is one additional number so it's a little bit harder.
Click here to see answer by jorel1380(3719)  |
Question 1099733: Newton's Law of Cooling governs the temperature of an object T(t)T(t) initially at temperature T0T0 as a function of time when placed in an environment with temperature TeTe . The object's temperature is given by the equation T(t)=Te+(T0−Te)e−rtT(t)=Te+(T0−Te)e−rt where rr is the cooling rate of the system.
A dish of lasagna is backed at 375F and placed on the counter of the kitchen at room temperature (68F). After 6 minutes, the lasagna cooled to 318F. What will its temperature be 9 minutes later (15 minutes after it was removed from the oven)? Round your answer to one decimal place.
Click here to see answer by jorel1380(3719)  |
Question 1099890: Giac collected money in his piggy bank until he was 10 years old. On his birthday, he deposited all $213.45 in the bank. His account earned 9% interest, compounded quarterly. On his 18th birthday, Giac took all of his money out to help buy a car. How much money was in the account at that time?
This is an applied problem using the rate of growth.
Click here to see answer by Theo(13342)  |
Question 1100171: the equation of the straight line through A and B is y=2x+8 calculate
1.the coordinates of A and C
2.the equation of the parabola(use point A and C)
3.the coordinates of B
4.the equation of line CE(use point C and )
5.the coordinate of E,the point of intersection of the parabola and line CE
6.the range of parabola
Click here to see answer by josgarithmetic(39617) |
Question 1100281: In 2012, the population of a city was 5.72 million. The exponential growth rate was 3.79 per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 88 million?
d) Find the doubling time.
This one's also a big one and it is pretty hard.
Click here to see answer by stanbon(75887) |
Question 1100280: The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
This one's a big one and it is pretty hard.
Click here to see answer by josmiceli(19441)  |
Question 1100280: The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
This one's a big one and it is pretty hard.
Click here to see answer by ikleyn(52786)  |
Question 1100280: The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 141. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Ten more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
This one's a big one and it is pretty hard.
Click here to see answer by richwmiller(17219)  |
Question 1100283: According to Newton's Law of Cooling, if a body with temperature Upper T 1T1 is placed in surroundings with temperature Upper T 0T0, different from that of Upper T 1T1, the body will either cool or warm to temperature T(t) after t minutes, whereT(t)equals=Upper T 0T0plus+(Upper T 1T1minus−Upper T 0T0)e Superscript negative kte−kt.
A cup of coffee with temperature 160 degrees°F is placed in a freezer with temperature 0 degrees°F. After 15 minutes, the temperature of the coffee is 47 degrees°F. Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes.
Click here to see answer by jorel1380(3719)  |
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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
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