Tutors Answer Your Questions about Linear-systems (FREE)
Question 1116538: one weekend members of a cycling club rode on the KVR trail uphill from penticton on okanagan B.C the uphill climb reduces the cyclists usual average speed by 6km/h and they took 4 hours to get to Chute lake. On the return trip the downhill ride increased the cyclists usual average speed by 4km/h. the return trip took 2 hours
What is the usual speed?
What is the distance from penticton to chute lake?
Click here to see answer by ikleyn(52788)   |
Question 1116729: On graph paper, graph the two lines associated with the equations in this system of equations.
3x + 2y = 13 2x + 3y = 12
Determine the solution to the system and check your solution in both equations. Input the solution to the system, putting the solution in ordered pair (x, y) form.
Click here to see answer by marshalld(1)  |
Question 1116729: On graph paper, graph the two lines associated with the equations in this system of equations.
3x + 2y = 13 2x + 3y = 12
Determine the solution to the system and check your solution in both equations. Input the solution to the system, putting the solution in ordered pair (x, y) form.
Click here to see answer by josgarithmetic(39618) |
Question 1116972: 1. Imagine that you have an elementary school-age child and are researching childcare options. You find two that you like - one at a child care center, one is based in a familys home - so it basically comes down to which one will be cheapest. the childcare charges $300 to enroll, then $79 per week. the family-run childcare charges $180 to enroll, then $93 per week.
a) Setup two functions to represent the cost of each.
b)which childcare approach will be the cheapest in the short-term?
c)determine the number of weeks at which it becomes more cost-effective to choose the long-term ?
Click here to see answer by Theo(13342)  |
Question 1117903: The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 28 minutes of calls is $26.08 , and the remaining credit after 61 minutes of calls is $21.46. What is the remaining credit after 88 minutes of calls?
Click here to see answer by ikleyn(52788) |
Question 1117903: The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 28 minutes of calls is $26.08 , and the remaining credit after 61 minutes of calls is $21.46. What is the remaining credit after 88 minutes of calls?
Click here to see answer by greenestamps(13200)  |
Question 1118704: I am having trouble setting up this equation.
Two angles are supplementary. One angles ensures 24 degrees less than the other angle. Find the measures of the angle.
So far I have:
x + y=180 and x=y-24
But I do not know if this is correct.
Click here to see answer by josgarithmetic(39618) |
Question 1118737: Without graphing, classify the following system as independent, dependent, or inconsistent.
Both of these are part of the same system, I just don't know how to mark them as such.
A) Independent
B) Dependent
C) Inconsistent
Click here to see answer by ikleyn(52788) |
Question 1118737: Without graphing, classify the following system as independent, dependent, or inconsistent.
Both of these are part of the same system, I just don't know how to mark them as such.
A) Independent
B) Dependent
C) Inconsistent
Click here to see answer by Alan3354(69443)  |
Question 1118743: Describe the location of point (−2, 6, 7) in three-dimensional coordinate space.
A) From the origin, move 2 units back, 6 units left, and 7 units up.
B) From the origin, move 2 units back, 6 units right, and 7 units down.
C) From the origin, move 2 units forward, 6 units right, and 7 units up.
D) From the origin, move 2 units back, 6 units right, and 7 units up.
I wasn't given any sort of reference for how the axis are aligned are which way anything is facing so I am majorly stuck on that.
Click here to see answer by ikleyn(52788) |
Question 1118952: Hi can you help me solve this problem please?
"Coco has a jar containing pennies and nickels that add up to a total of $9.20. If she could switch the number of pennies with the number of nickels, there would be $26.80 worth of coins in the jar. How many pennies and nickels are in the jar?"
Can you show the step by step solving progress for their problem? Thanks.
Click here to see answer by ikleyn(52788) |
Question 1118952: Hi can you help me solve this problem please?
"Coco has a jar containing pennies and nickels that add up to a total of $9.20. If she could switch the number of pennies with the number of nickels, there would be $26.80 worth of coins in the jar. How many pennies and nickels are in the jar?"
Can you show the step by step solving progress for their problem? Thanks.
Click here to see answer by Theo(13342) |
Question 1118954: A manufacturer of golf clubs makes a profit of $40 per set on a model A set and $60 per set on a model B set. Daily production of the model A clubs is between 30 and 60 sets, inclusive, and that of the model B clubs is between 10 and 30 sets, inclusive. The total daily production is not to exceed 60 sets. How many sets of each model should be manufactured per day to maximize the profit?
Click here to see answer by ikleyn(52788) |
Question 1119624: An airplane flying into a headwind travels the 2080-mile flying distance between two cities in 5 hours and 12 minutes. On the return flight, the airplane travels this distance in 4 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
AIRSPEED:_____ (mi/h)
WINDSPEED:______(mi/h)
Click here to see answer by Alan3354(69443) |
Question 1119624: An airplane flying into a headwind travels the 2080-mile flying distance between two cities in 5 hours and 12 minutes. On the return flight, the airplane travels this distance in 4 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
AIRSPEED:_____ (mi/h)
WINDSPEED:______(mi/h)
Click here to see answer by ikleyn(52788) |
Question 1119624: An airplane flying into a headwind travels the 2080-mile flying distance between two cities in 5 hours and 12 minutes. On the return flight, the airplane travels this distance in 4 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
AIRSPEED:_____ (mi/h)
WINDSPEED:______(mi/h)
Click here to see answer by josgarithmetic(39618) |
Question 1119636: Hi, I need some help with this mixture problem. I don't understand how to set it out in table format (value * quantity = total), could you help me please? Thank you!
"Clifford’s Cooke Company sells two kinds of cookies daily – strawberry chip and broccoli banana (which is why you may have never heard of Clifford’s cookies). Strawberry chip cookies sell for $6.50 per dozen while banana broccoli cost $9.00 per dozen. Last year, Clifford sold 85 dozen more strawberry chip cookies than banana broccoli. The total sales were $4,055.50. How many dozen of each were sold?"
Click here to see answer by josgarithmetic(39618) |
Question 1120738: Hi, I need some help with working out this motion problem, thanks!
"Gertrude rows her boat 24 miles downstream in 4 hours. In order to make the return trip upstream in the same amount of time, the rate of the boat in still water was doubled. Find the rate of the current and the rate that Gertrude was rowing downstream."
Click here to see answer by josgarithmetic(39618) |
Question 1120738: Hi, I need some help with working out this motion problem, thanks!
"Gertrude rows her boat 24 miles downstream in 4 hours. In order to make the return trip upstream in the same amount of time, the rate of the boat in still water was doubled. Find the rate of the current and the rate that Gertrude was rowing downstream."
Click here to see answer by josmiceli(19441)  |
Question 1120741: Two mechanics worked on a car. The first mechanic worked for
10
hours, and the second mechanic worked for
15
hours. Together they charged a total of
$1525
. What was the rate charged per hour by each mechanic if the sum of the two rates was
$130
per hour?
Click here to see answer by solver91311(24713)  |
Question 1120753: The table lists the average annual cost of tuition and fees at private 4-year colleges for selected years.
Year Tuition and Fees (in dollars)
1994 11,719
1996 13,994
1998 17,709
2000 16,233
2002 21,116
2004 24,101
2006 32,218
1. Given any two data points with each consisting of the year and its corresponding tuition and fees, describe in detail how you would find a linear function that models the data shown in the table. Be sure to clearly define and interpret all components involved in your model.
Click here to see answer by solver91311(24713) |
Question 1120756: The table lists the average annual cost of tuition and fees at private 4-year colleges for selected years.
Year Tuition and Fees (in dollars)
1994 11,719
1996 13,994
1998 17,709
2000 16,233
2002 21,116
2004 24,101
2006 32,218
4. Use all three functions to approximate tuition and fees in 2035. State your results below. Next, choose the function you would use to encourage prospective students and explain the reasoning behind your choice.
Function 1:
Function 2:
Function 3:
Function of choice:
Explanation:
Click here to see answer by greenestamps(13200) |
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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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