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

Tutors Answer Your Questions about Linear-equations (FREE)

Question 181804: Stella�s Catering is planning a wedding
reception. The bride and groom would like to serve
a nut mixture containing 25% peanuts. Stella has
available mixtures that are either 40% or 10% peanuts.
How much of each type should be mixed to get a 10-lb
mixture that is 25% peanuts?

Click here to see answer by Mathtut(3670)

Question 181806: Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1 bills. There are 22 bills in all. How many of each kind are there?

Click here to see answer by edjones(8007)

Question 181807: A sightseeing boat travels 3 hrs. on a trip downstream with a 2.5mph current. The return trip against the same current takes 3.5 hrs. Find the speed of the boat in still water.
Click here to see answer by ankor@dixie-net.com(22740)

Question 181730: 0.1x - 0.09y = 0.18
0.02x + 0.06 y = 0.01

I need to find x y using addition method
Click here to see answer by edjones(8007)

Question 181863: Could you please explain this to me step by step so I can understand it?
Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1bills. There are 22 bills in all. How many of each kind are there?
Click here to see answer by Alan3354(69443)

Question 181874: If 2x + 5 = -25 and -3m -6 = 48, what is the product of x and m?
Can you please help me!
Thanks
Click here to see answer by solver91311(24713)

Question 181907: Could you write this out so I can understand it please.
A Coast Guart patrol boat travels 4 hr on a trip down streem with a 6-mph current. The return trip against the same current takes 5 hr. Find the speed of the boat in still water.
Click here to see answer by nerdybill(7384)

Question 181906: Could you write this out so I can understand it please.
A Coast Guart patrol boat travels 4 hr on a trip down streem with a 6-mph current. The return trip against the same current takes 5 hr. Find the speed of the boat in still water.
Click here to see answer by nerdybill(7384)

Question 182003: Hi I am in a college algebra class and we have to chart a linear equation using the following equation: 3x-y=-10 and I don't understand how to do it, can you please give me a little help. Thanks
Click here to see answer by Fombitz(32388)

Question 182021: How would a graph look depicting 2 of my Aunts' aging; one being 35 and
the other being 46? f(x) - represents age
Click here to see answer by ilana(307)

Question 182027: A.solve 5x+6y=18 for y
B.when graphed this equation would be a line. by examing your answer to part a, what is the slope y- intercept of this line?
Click here to see answer by jim_thompson5910(35256)

Question 182053: 5x + 6y = 18 For y
Click here to see answer by jim_thompson5910(35256)

Question 182067: Can someone please answer this question for me and plot it on the graph so I can get an better understanding of this!
Plot -1,2
Click here to see answer by jim_thompson5910(35256)

Question 182082: A 96 inch pipe is cut into 3 pieces. The second piece is seven inches shorter than the first piece, and the third piece is three times as long as the first piece. how long is each piece?
Click here to see answer by checkley77(12844)

Question 182177: Find the x and y intercepts of each linear equation. Be sure to write your answers as ordered pairs.
y = 3x - 6
6y = -x + 2

Click here to see answer by solver91311(24713)

Question 182161: Please answer this equation:

Click here to see answer by checkley77(12844)

Question 182237: The problem says: Use the intercepts to graph each linear equation on a coordinate plane

1. 3x-2y=12
2. 5x+3y=15
Click here to see answer by Alan3354(69443)

Question 182269: Please help!!!!
write the equation of the line that satisfies the given conditions. Express final equations in standard form.
contains the point (-4,7) and is perpendicular to the x axis

Click here to see answer by Alan3354(69443)

Question 182326: hi!
i need help with this problem.
"determine the equation of the line described. Put answer in the slope-intercept form, if possible. Through(6,-8), perpendicular to x=7"
I understand that the slope is zero in this equation, i just dont understand how to put in slope-intercept form
Thank you for your time
Click here to see answer by Mathtut(3670)

Question 182333: 1.Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
d)For the average motorist, name one value for g that would be inappropriate for this function�s purpose. Explain why you chose the number you did.
e)If you were to graph C(g), what would be an appropriate domain? Range? Explain your reasoning

Click here to see answer by stanbon(75887)

Question 182441: Please help me solve this problem.
An equation in slope-intercept form for the line passing through each pair of points:
(9, -1) and 6, -2)
Thank you,
Doris
Click here to see answer by stanbon(75887)

Question 182443: I am trying to help my son solve the following problem:
Critical Thinking: Give the equations of three lines that are parallel to the line with equation y=3x+2.
Thank-you for your help.
Gloria
Click here to see answer by Mathtut(3670)

Question 182547: 2.
How are addition and multiplication used to solve a linear equation? Demonstrate by solving "15x + 7 = 31 + 3x"

thank you!
Click here to see answer by stanbon(75887)

Question 182548: 3.
this one I just don't understand. Please help if you can.

1. How many solutions of a system of two linear equations in two unknowns can exist?
2. How would each possible number of solutions appear graphically?
3. Create systems of linear equations with each possible number of solutions.
thank you.
Click here to see answer by eperette(173)

Question 182604: What is the slope of the linear equation?
X Y
5 11
4 9
3 7
2 5

Click here to see answer by solver91311(24713)

Question 182622: how do i put 4a+1.5c=5050 in y=mx+b format
Click here to see answer by solver91311(24713)

Question 182660: The national cost C in billions of dollars for dental services can be modeled by the linear equation C= 2.85n + 3052, where n is the number of years since 1990.
a) find and interpret the C-intercept for the line
b) find and interpret the n-intercept for the line
c) graph the line for n ranging from 0 through 20
d) if this trend continues, then in what year will the cost of dental services reach 100 billion?
This is what I have so far for an answer:
I tried to solve for C. I began by subtracting 1990 from this current year 2009 which gave me 19, so n=19. Then I was able to solve for C.
C= 2.85(19) + 3052
C= 54.15 + 30.52
C= 84.67
a) n=0, then C=2.85(0) + 30.52. C-intercept is (0, 30.52)
b) C=0, then 2.85n + 30.52 = 0 Here's my work for this equation:
2.85n + 30.52 - 30.52 = 0 -30.52
2.85n/2.85 = -30.52/2.85
n=-10.70
n-intercept is (-10.70, 0) or is the n-intercept (19, 84.67)?
d)I think I have to substitute C for 84.67 which will allow me to solve the equation for n. Below is what I did.
C= 2.85n + 30.52
8467= 2.85n + 30.52
-30.52 - 30.52
54.15= 2.85n
54.15/2.85 = 2.85n/2.85
n=19
So will the year be 2019 since n=19?

Click here to see answer by Mathtut(3670)

Question 182718: help!what steps can i take to learn how to do this? watch do some on my own and stay dedicated.
Click here to see answer by Alan3354(69443)

Question 182718: help!what steps can i take to learn how to do this? watch do some on my own and stay dedicated.
Click here to see answer by csmith(1)

Question 182773: how do u graph this equation: y=7-3x ?
Click here to see answer by Alan3354(69443)

Question 182767: Write an equation of a line that has slope of -2 and passes through C(3,7) Answer in slope-intercept form and standard form.
Click here to see answer by josmiceli(19441)

Question 182796: I just can't figure this equation to get this slope. The roof is 6 ft high and 20 ft long and I need to know the slope. I have the equation:
m=change in y/change in x= y2-y1/x2-x1
Click here to see answer by stanbon(75887)

Question 182789: Solve the system. Enter the solution coordinates.
3x+y=-1
9x+3y=-3
Click here to see answer by checkley77(12844)

Question 182908: What is the slope with line through (0,1) (3/2)? I got -2/3 but my friend got -3/2. We do know it is negative. Please help. Thanks for your time.
Click here to see answer by jim_thompson5910(35256)

Question 182932: Substitution method
x+y=8
x-3y=0
Click here to see answer by jim_thompson5910(35256)

Question 182930: (-8,6) and (-8,-1)
Click here to see answer by checkley77(12844)

Question 182952: The perimeter of a rectangle is 112 inches. The length exceeds the width by 8 inches. Find the length and the width.
The length is ________ inches.
(type an intreger or decimal.)
The width is ________ inches.
(type an intreger or decimal)
Click here to see answer by stanbon(75887)

Question 182987: Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $11110?
Snookers lumber must produce and sell ___ units of lumber and ___ units of plywood to make a profit of $11110.
Click here to see answer by josmiceli(19441)

Question 183012: i don't how to get this at all can anyone help me? please. And i don't get how to find the slope. please if willing help me if you know how to do it. please and thank you.
Click here to see answer by jim_thompson5910(35256)

Question 183029: Graph the equation and identify the y-intercept
y=x+3
Thank you for your time.
Click here to see answer by jim_thompson5910(35256)

Question 183029: Graph the equation and identify the y-intercept
y=x+3
Thank you for your time.
Click here to see answer by stanbon(75887)

Question 183040: Solve the following by any method:
{x = 9/4y + 7
{4x - 9y = 30
Is the system inconsistent, or are the equations dependent, or is the answer an ordered pair?
Click here to see answer by stanbon(75887)

Question 183043: Find the equation, in standard form, of the line perpendicular to 2x - 3y = -5 and passing through (3,-2). Write the equation in standard form, with all integer coefficients.
Click here to see answer by jim_thompson5910(35256)

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