Tutors Answer Your Questions about Linear-equations (FREE)
Question 1151618: The school production of 'Our Town' was a big success. For opening night,
420 tickets were sold. Students paid $2.50 each, while non-students paid $4.50 each. If a total of $1260.00 was collected, how many students and how many non-students attended?
Click here to see answer by ikleyn(52781)   |
Question 1151844: 2x + 6y + 3z = −16
5x − 3y − 5z = 71
4x + 3y + 2z = 10
This is my first question! Find, x,y,z. Make sure they are all true!!
x + y + z = 4
x − y + z = 2
x − y − 2z = −1
This is my second question! Find, x,y,z. make sure they are all true!
Thank you to whoever answers this!
Click here to see answer by Alan3354(69443)  |
Question 1151846: 7x − y − z = 34
x − 3y + z = 6
x + 2y − z = 4
This is my first question! Find, x,y,z and make sure that they are all true!
4a − 3b = 1
6a − 8c = 1
2b − 4c = 0
This is my second question! find, x,y,z and make sure that they are all true!
Click here to see answer by Edwin McCravy(20055)  |
Question 1151845: 2x + y = 5
−x − 2y + 8z = 8
−y + 4z = 6
This is my first question! find, x,y,z and make sure that they are all true!
3x + 4y + z = 15
x − 2y + z = −15
2x + y + z = 5
This is my second question! find, x,y,z and make sure that they are all true!
thank you to whoever answers this correctly! thanks
Click here to see answer by Alan3354(69443) |
Question 1151845: 2x + y = 5
−x − 2y + 8z = 8
−y + 4z = 6
This is my first question! find, x,y,z and make sure that they are all true!
3x + 4y + z = 15
x − 2y + z = −15
2x + y + z = 5
This is my second question! find, x,y,z and make sure that they are all true!
thank you to whoever answers this correctly! thanks
Click here to see answer by jim_thompson5910(35256) |
Question 1151910: One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 16 milligrams (mg) of niacin, 9 mg of zinc, and 15 mg of vitamin C?
Thank you! Please help! this is urgent
Click here to see answer by MathLover1(20849)  |
Question 1151910: One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 16 milligrams (mg) of niacin, 9 mg of zinc, and 15 mg of vitamin C?
Thank you! Please help! this is urgent
Click here to see answer by iamjustgooder(2) |
Question 1151911: One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 16 milligrams (mg) of niacin, 9 mg of zinc, and 15 mg of vitamin C?
Food A oz
Food B oz
Food C oz
Food Niacin Zinc Vitamin C
A 1 mg 1 mg 2 mg
B 2 mg 1 mg 1 mg
C 2 mg 1 mg 2 mg
Click here to see answer by josgarithmetic(39617) |
Question 1151909: An artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $1390 for 250 statues. The manufacturing costs for the three types are $7, $6, and $5. If the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $4,370 in monthly revenue?
thank you so whoever solves this. I hope its MATHLOVER1. (• ◡•) ok bai
Click here to see answer by MathLover1(20849) |
Question 1151913: Pulse Fuels produces two types of additive blends, A and B. Blend A sells at PhP 1200/liter while Blend B sells at PhP 2000/liter. Its manager would like to maximize revenue by producing the right
combination of the two additive blends.
Currently, the company outsources its labor due to the seasonal nature of its products. Its contract with its labor provider requires that a minimum of 5,400 hours be utilized every month. If not utilized, the company will still have to pay the equivalent of 5,400 hours. Each liter of Blend A requires 3 hours of labor while each liter of Blend B requires 1.8 hours. On the other hand, its equipment availability is limited to 9,600 hours per month. Each liter of Blend A requires 2 hours of equipment time while each liter of Blend B requires 3 hours of equipment time. Its Marketing Department has estimated that at least 1000 liters per month of Additive Blend A can be sold while the monthly market demand for Additive Blend B is at least 400 liters. Its Operations Manager has informed the GM that the existing configuration of the operating plant (with a 4000-liter/month capacity) will require that one liter of Additive Blend A is produced for every 2 liters of Additive Blend B. Furthermore, the 4000-liter/month plant must operate, at the least, at 67.5% of its monthly capacity to make it operationally viable.
Click here to see answer by Theo(13342)  |
Question 1151913: Pulse Fuels produces two types of additive blends, A and B. Blend A sells at PhP 1200/liter while Blend B sells at PhP 2000/liter. Its manager would like to maximize revenue by producing the right
combination of the two additive blends.
Currently, the company outsources its labor due to the seasonal nature of its products. Its contract with its labor provider requires that a minimum of 5,400 hours be utilized every month. If not utilized, the company will still have to pay the equivalent of 5,400 hours. Each liter of Blend A requires 3 hours of labor while each liter of Blend B requires 1.8 hours. On the other hand, its equipment availability is limited to 9,600 hours per month. Each liter of Blend A requires 2 hours of equipment time while each liter of Blend B requires 3 hours of equipment time. Its Marketing Department has estimated that at least 1000 liters per month of Additive Blend A can be sold while the monthly market demand for Additive Blend B is at least 400 liters. Its Operations Manager has informed the GM that the existing configuration of the operating plant (with a 4000-liter/month capacity) will require that one liter of Additive Blend A is produced for every 2 liters of Additive Blend B. Furthermore, the 4000-liter/month plant must operate, at the least, at 67.5% of its monthly capacity to make it operationally viable.
Click here to see answer by ikleyn(52781) |
Question 1152141: Joe collected three times as many stamps as Angela.
Together, they collected 360 stamps in total.
How many stamps did each collect?
360/4 divide by 4 360/4 =90 over 1. 4/4 =0. anything divided by one stays the same. answer: 90
Click here to see answer by MathLover1(20849) |
Question 1152180: In a certain state, the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40 mi/h. The fine for violating these limits is $15 for every mile per hour above the maximum speed or below the minimum speed. Express the amount of the fine F as a function of the driving speed x and graph F(x) for 1≤ x≤100.
Click here to see answer by Shin123(626)  |
Question 1152200: Assume that in 2013 the number of vehicle sales in the Ukraine was 233 thousand and in 2018 it was 96 thousand.
a. Determine the average rate of change (slope) in the number of vehicle sales from 2013 to 2018. Include
the units. (What does the answer mean?)
b. If x is the number of years since 2013 and g(x) is the number of vehicles sold, write the equation of the
line through these two points.
c. Assuming g(x) is a linear function, use the equation to predict the number of vehicles sold in 2020.
Click here to see answer by Theo(13342) |
Question 1152212: The cost of driving a car includes both fixed costs and mileage costs. Assume that insurance and car payments cost $360 per month and gasoline, oil, and routine maintenance cost $0.25 per mile.
(a) Find a linear function f that gives the annual cost of driving this car x miles.
(b) What does the y-intercept on the graph of f represent?
Potential Answers:
(a) I initially came up with "f(x) = 0.25x + 360" (.25x represents maintenance, etc. while 360 = fixed cost) *This was initially wrong* It brings up "ANNUAL" cost of driving in the question (I believe is 12 months?)
(b) I believe the y-intercept on the graph is the "Total Cost"
Anything would help greatly!
Thank you.
Click here to see answer by jim_thompson5910(35256) |
Question 1152279: Write the slope-intercept (y=mx+b) form of:
1. Slope equals 2 and the line goes through the point (-1, 3)
2. The line goes through the points (8,5) and (9, 6)
3. The line goes through the points (-1, -7) and (-8, -2)
4. The line goes through the points (1/2, 3/2) and (-1/4, 5/4)
Thank you.
Click here to see answer by MathLover1(20849) |
Question 1152399: Write the point-slope (y - k = m(x - h)) form of the equation from the information given.
1. Slope = ½; (h, k) = (1, -2)
2. Slope equals 2 and the line goes through the point (-1, 3)
3. The line goes through the points (8,5) and (9, 6)
4. The line goes through the points (-1, -7) and (-8, -2)
5. The line goes through the points (1/2, 3/2) and (-1/4, 5/4)
Thank you!
Click here to see answer by MathLover1(20849) |
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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, 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, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045
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