Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1057274: the sum of two numbers is 160. Four times the smaller number and 1/3 of the larger number is equal to 288. find the two numbers.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1057314: Peter goes on a diet to lose weight. Let the input t represent the week of his diet, and let the output W represent Peter's weight in pounds. At the start of his diet (t = 0), Peter weighed 235 pounds. After 6 weeks on his diet, he weighed 217 pounds. Find the linear relationship between t and W.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1057350: What is the slope y-intercept x-intercept of 5x-3y=5,x=7y-9, 2x-5y=1
Click here to see answer by Alan3354(69443) About Me 

Question 1057366: graph a line whose equation is y=-2x-3. construct a perpendicular line through P(3,1). Then find the distance from p to m
Click here to see answer by ikleyn(52781) About Me 

Question 1057117: Abby and Josh want to meet for dinner before Abby goes to a show at the Chicago theater and Josh goes to a concert at the sympathy center. They want to meet at the land mark that is closest to the midpoint of there after dinner location at which landmark should they meet?
Click here to see answer by Fombitz(32388) About Me 

Question 1057403: Hi. I have a concern about linear equations. Can you explain to me about what they are and some examples to give me an idea of what it is.
Thanks
Alexander

Click here to see answer by stanbon(75887) About Me 

Question 1057422: Write slope intercept form for an equation of the line that passes through points (-3,-2)(5,6)and has the same y intercept as the equation 4y=-x+12
Click here to see answer by stanbon(75887) About Me 

Question 1057429: At what point does the line given you the following equation cross the y-axis y=6/11x+6
Click here to see answer by Alan3354(69443) About Me 

Question 1057433: What is the standard form of the points (1,-2),(-1,3)
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Question 1057460: Y=4x+3
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Question 1057471: Given the​ point-slope equation y plus 8 equals negative 6 left parenthesis x minus 7 right parenthesis commay+8=−6(x−7), state the slope and the indicated point of the graph
Click here to see answer by josgarithmetic(39617) About Me 
Question 1057471: Given the​ point-slope equation y plus 8 equals negative 6 left parenthesis x minus 7 right parenthesis commay+8=−6(x−7), state the slope and the indicated point of the graph
Click here to see answer by MathTherapy(10552) About Me 

Question 1057488: How to solve
1.
2x+3y=13
3x+5y=40
2. 3x+5y=7
4x+6y=12

Click here to see answer by Cromlix(4381) About Me 

Question 1057474: Show Work
Find an equation in​ point-slope form for the line having the slope m equals=negative 5−5 and containing the point ​(3,8​).

Click here to see answer by Fombitz(32388) About Me 

Question 1057475: Find an equation of the line having the specified slope and containing the indicated point. Write your answer in​ slope-intercept form.
mequals=six sevenths
6
7​; left parenthesis 0 comma negative 8 right parenthesis

Click here to see answer by Alan3354(69443) About Me 
Question 1057475: Find an equation of the line having the specified slope and containing the indicated point. Write your answer in​ slope-intercept form.
mequals=six sevenths
6
7​; left parenthesis 0 comma negative 8 right parenthesis

Click here to see answer by rothauserc(4718) About Me 

Question 1057472: Find an equation for the line perpendicular to y equals negative four fifths x plus 4y=−
4
5x+4 with​ y-intercept left parenthesis 0 comma negative 12 right parenthesis(0,−12). Write the answer in​ slope-intercept form.

Click here to see answer by Alan3354(69443) About Me 

Question 1057563: Determine the value of r so the line that passes through each pair of points has the given slope .
(10,4),(-2,r), m=-0.5

Click here to see answer by Cromlix(4381) About Me 

Question 1057470:
Find an equation for the line parallel to y equals 4 x minus 6y=4x−6 with​ y-intercept left parenthesis 0 comma 3 right parenthesis(0,3). Write the answer in​ slope-intercept form.

Click here to see answer by Cromlix(4381) About Me 

Question 1057575:
I would greatly appreciate a clear solution with work for this problem:
Solve this system of linear equation using any algebraic method.Show solution check.
8x-6y=12
12x-9y=18
Thank you

Click here to see answer by ikleyn(52781) About Me 

Question 1057602: Please solve the following problem. Solve the linear system using eliminatioo:

4x-y=5
4x+4y=-4
Thank you.

Click here to see answer by rothauserc(4718) About Me 
Question 1057602: Please solve the following problem. Solve the linear system using eliminatioo:

4x-y=5
4x+4y=-4
Thank you.

Click here to see answer by MathTherapy(10552) About Me 

Question 1057616: Sketch a graph of the equation. 3x-y=2


Click here to see answer by addingup(3677) About Me 

Question 1057536: Two angles are supplementary. The larger angle is 48 degrees more than 10 times the smaller angle. Find the measure of each angle.

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Question 1057652: How do I find the linear function using this f(2)=-2 f(1)=1
Click here to see answer by Fombitz(32388) About Me 

Question 1057705: y=2/5x+4
Click here to see answer by Fombitz(32388) About Me 

Question 1057707: Find the slope of the line? y=2/5x+4
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Question 1057736: Find the slope of the line.
9x + y = -4

Click here to see answer by rothauserc(4718) About Me 
Question 1057736: Find the slope of the line.
9x + y = -4

Click here to see answer by Kasey.vivier12(1) About Me 

Question 1057770: What is the slope of the line that is parallel to the line who's equation is 2x + y = 4
Click here to see answer by Boreal(15235) About Me 

Question 1057795: Graph the line on the equation x-2y=6
Click here to see answer by Alan3354(69443) About Me 

Question 1057793: Whats the relationship between the x and y values (1,9) (2,18) (3,27) (4,36) write an equation
Click here to see answer by solve_for_x(190) About Me 

Question 1057822: Find the slope of the line with equation (k-2)y-2/5x-12(k+1)=-2(x+k)-4y+3 if the y-intercept is -2/7.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1057944: Find the slope and y-intercept of the line whose equation is 2 y + 5x - 8 = 0
Click here to see answer by josmiceli(19441) About Me 
Question 1057944: Find the slope and y-intercept of the line whose equation is 2 y + 5x - 8 = 0
Click here to see answer by addingup(3677) About Me 

Question 1057958: y=1/2x+2
Click here to see answer by Alan3354(69443) About Me 

Question 1057966: The sum of two numbers is 35. If the larger is doubled and the smaller is tripled,the difference is 5.find the numbers?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1057819: Healthy Foods has brought out a new breakfast cereal called Hi-Fibre, which uses a concentrated form of fibre developed by their own research laboratory. This product has been test marketed in a few selected areas and the consumer reaction has been favourable. However several people questioned said they would prefer a higher fibre content, so George Brown, the Product manager has decided to meet this demand with an additional product called Hi-Fibre Plus. This product will double the fibre content of Hi-Fibre and also require extra cooking time. The selling price of Hi-Fibre Plus will be greater than that for Hi-Fibre and so will the contribution to profits. For Hi-Fibre the contribution will be 12p per 500g packet, for Hi-Fibre Plus it will be 15p per 500g packet.
During the period of test marketing, 500 packets were produced each day but from a commercial point of view at least 2500 packets of each type must be produced and it is expected that demand will soon exceed this figure. The storage area can take a maximum of 12000 packets so daily production cannot exceed this figure. There is one oven and one packaging plant that operates for 12 hours a day and the supply of concentrated fibre is, for the moment, limited to 120kg per day. George wants guidance on the number of each product to produce. The following information is also supplied.
Hi-Fibre Hi-Fibre Plus
Cooking/packaging 3 seconds 5 seconds
Fibre Content 5g 10g
Task One
Produce a graphical linear programming model to solve the problem and to present the possible solutions, indicating which one will give the greatest profit.
[50]
Task Two
Answer the following to give further insight into the situation:
a) How much of each resource (fibre, storage space and time) are left after optimal quantities of the cereal are produced. Which resources are scarce (i.e. used up)?
[10]
b) Is it worthwhile increasing the scarce resources and by how much? The additional cost of increasing fibre production is £20 per kg, storage space would work out at 20p per packet and extending the working day would incur costs of £30 per hour.
[10]
c) Would the optimal solution change if the profit contribution changed?
[15]
d) The sales department believes that demand for Hi-Fibre Plus will be greater than demand for Hi-Fibre. If this is correct then production of Hi-Fibre Plus needs to be higher than Hi-Fibre. What increase in profit contribution will be necessary if the total profit is to remain the same?

Click here to see answer by ikleyn(52781) About Me 

Question 1058035: If the x intercept = 3 and the y intercept = 6
what is the slope and the equation?

Click here to see answer by solve_for_x(190) About Me 

Question 1058062: find k so that the line containing the points (-3,k) and (4,8) is parallel to the line containing the points (5,3) and (1
Click here to see answer by Alan3354(69443) About Me 

Question 1058076: graph the the two equation and find the point in which the graph intersect
x+y=1 ,(x-1)^2+y^2=1

Click here to see answer by Alan3354(69443) About Me 

Question 1058116: Find an equation of the line through(4,5)and parallel to y=3x−4.Write the equation using function notation.
Click here to see answer by stanbon(75887) About Me 

Question 1058126: 3=-1/2(1)+b what is b.

Click here to see answer by addingup(3677) About Me 

Question 1058105: Linear Programming - The Graphical Method

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 per acre. Seed for crop B costs $10 per acre. The farmer can spend at most $700 on seed. If crop B brings in a profit of $60 per acre, and crop A brings in a profit of $180 per acre, how many acres of each crop should the farmer plant to maximize her profit?

Click here to see answer by ikleyn(52781) About Me 

Question 1058183: Find the slope of the line.
y = -2x -4

Click here to see answer by stanbon(75887) About Me 

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