Tutors Answer Your Questions about Linear-systems (FREE)
Question 1192437: To be exact, this word problem is all about Systems of Linear Equation in Three Variables.
There are three boys, Cyril, Ryan, and Guye. The sum of their ages is twenty years. Cyril’s age added to Guye’s is four-time Ryan’s age, and Ryan’s age added to Cyril’s is four times Guye’s. How old are three boys?
Your answer would mean a lot. Thank you in advance!
Click here to see answer by Edwin McCravy(20056)   |
Question 1192437: To be exact, this word problem is all about Systems of Linear Equation in Three Variables.
There are three boys, Cyril, Ryan, and Guye. The sum of their ages is twenty years. Cyril’s age added to Guye’s is four-time Ryan’s age, and Ryan’s age added to Cyril’s is four times Guye’s. How old are three boys?
Your answer would mean a lot. Thank you in advance!
Click here to see answer by ikleyn(52784)  |
Question 1192849: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 236 people entered the park, and the admission fees collected totaled 604.00 dollars. How many children and how many adults were admitted?
Your answer is
number of children equals
number of adults equals
Click here to see answer by Boreal(15235)  |
Question 1192849: The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 236 people entered the park, and the admission fees collected totaled 604.00 dollars. How many children and how many adults were admitted?
Your answer is
number of children equals
number of adults equals
Click here to see answer by greenestamps(13200)  |
Question 1192856: Suppose you want to buy a new car and are trying to choose between two models:
Model A: costs $16,500 and its gas mileage is 25 miles per gallon and its insurance is $250 per year.
Model B: costs $24,500 and its gas mileage is 40 miles per gallon and its insurance is $450 per year.
If you drive approximately 40,000 miles per year and the gas costs $3 per gallon:
Find a formula for the total cost of owning Model A where the number of years you own the car is represented by x.
Find a formula for the total cost of owning Model B where the number of years is the independent variable.
Find the total cost for each model for the first five years.
If you plan to keep the car for 4 years, which model is more economical? What about if you plan to keep it for 6 years?Find the number of years
in which the total cost to keep the two cars will be the same.
Identify the number of months where neither car holds a cost of ownership advantage.
What effect would the cost of gas doubling have on cost of ownership? Graph or show hand calculations.
If you can sell either car for 40% of its value at any time, how does the analysis change? Graph or show hand calculations.
Click here to see answer by ikleyn(52784) |
Question 1194482: Emilia drove at an average speed of 50mi/h from her home in Los Angeles to visit her sister in New Orleans. She stayed in New Orleans 15hours, and on the trip back averaged 50 mi/h. She returned home 49 hours after leaving. How many miles is Los Angeles from New Orleans?
a) Write an equation using the information as it is given above that can be solved to answer this question. Use t as your variable to represent the amount of time Emilia spent driving from Los Angeles to New Orleans.
b) How many miles is Los Angeles from New Orleans?
Click here to see answer by josgarithmetic(39617) |
Question 1194482: Emilia drove at an average speed of 50mi/h from her home in Los Angeles to visit her sister in New Orleans. She stayed in New Orleans 15hours, and on the trip back averaged 50 mi/h. She returned home 49 hours after leaving. How many miles is Los Angeles from New Orleans?
a) Write an equation using the information as it is given above that can be solved to answer this question. Use t as your variable to represent the amount of time Emilia spent driving from Los Angeles to New Orleans.
b) How many miles is Los Angeles from New Orleans?
Click here to see answer by MathTherapy(10552)  |
Question 1194814: a certain school, there are 180 pupils in Year 7. One hundred and ten pupils study French, 88 study German and 65 study Indonesian. Forty pupils study both French and German, 38 study German and German only. Find the number of pupils who study:
a.all three languages
b.Indonesian only
c.none of the languages
d.at least one language
e.either one ot two of the three languages
Click here to see answer by ikleyn(52784) |
Question 1195183: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in qallons) in its tank. When graphed, the function gives a line
with a slope of 5.5. See the figure below.
With 47 gallons of fuel in its tank, the airplane has a weight of 2258.5 pounds. What is the weight of the plane with 13 gallons of fuel in its tank?
2258.5
Airplane
weight
(in pounds)
pounds
×
S
P
Amount of fuel
Click here to see answer by Theo(13342)  |
Question 1195183: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in qallons) in its tank. When graphed, the function gives a line
with a slope of 5.5. See the figure below.
With 47 gallons of fuel in its tank, the airplane has a weight of 2258.5 pounds. What is the weight of the plane with 13 gallons of fuel in its tank?
2258.5
Airplane
weight
(in pounds)
pounds
×
S
P
Amount of fuel
Click here to see answer by greenestamps(13200) |
Question 1195743: Jacob has $45 to buy muffins and doughnuts at the school bake sale. Muffins are $0.75 each and doughnuts are $0.25 cents each.
a. What is the maximum number of muffins Jacob can buy?
b. What is the maximum number of doughnuts Jacob can buy?
c. Write an equation that models Jacob's options (assuming he spends all $45)
d. Graph the possible combinations of doughnuts and muffins Jacob can buy for $45.
Click here to see answer by math_tutor2020(3817) |
Question 1196646: A dietitian is planning a meal of beef, rice, and peas for a patient. The patient needs the meal to contain 93.3 grams of carbohydrate, 22.3 grams of protein and 7.9 grams of fat. The table below shows the number of grams of carbohydrate, protein, and fat in 100 grams of each food. (Note, the total is not 100 grams due to the water and fiber content of the food.) How much of each food should be used so that the patient gets the needed nutrients?
Carbohydrate Protein Fat
Beef 1 22 12
Rice 25 2 0
Peas. 12 3 1
I took that and made the equations of
1b+25r+12p= 93.3
22b+2r+3p= 22.3
12b+r+1p=7.9
But now im not sure what I am to do I believe I did the Gauss illumination correct but it seems to be wrong here's what I got.
b= 0.5
r=2.8
p=1.9
could someone explain where I went wrong?
Click here to see answer by ikleyn(52784) |
Question 1196646: A dietitian is planning a meal of beef, rice, and peas for a patient. The patient needs the meal to contain 93.3 grams of carbohydrate, 22.3 grams of protein and 7.9 grams of fat. The table below shows the number of grams of carbohydrate, protein, and fat in 100 grams of each food. (Note, the total is not 100 grams due to the water and fiber content of the food.) How much of each food should be used so that the patient gets the needed nutrients?
Carbohydrate Protein Fat
Beef 1 22 12
Rice 25 2 0
Peas. 12 3 1
I took that and made the equations of
1b+25r+12p= 93.3
22b+2r+3p= 22.3
12b+r+1p=7.9
But now im not sure what I am to do I believe I did the Gauss illumination correct but it seems to be wrong here's what I got.
b= 0.5
r=2.8
p=1.9
could someone explain where I went wrong?
Click here to see answer by MathLover1(20850)  |
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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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