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

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Question 1189603: What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

Click here to see answer by MathLover1(20849) About Me 
Question 1189603: What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1189603: What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

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Question 1189602: What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=13x−1?

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Question 1189504: The vertices of a triangle are at A(-3, -2), B(2, 1) and C(6, 5). Find the length of the altitude
from the vertex C and the length of side AB. Then compute for the area of the triangle.

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Question 1189717:

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Question 1189718:

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Question 1189713: At what rate was P2160 invested if it earned P35.00 for 115 days?
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Question 1189767: What are the slope and y-intercept of the equation 2x - 5y = -10?

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Question 1189767: What are the slope and y-intercept of the equation 2x - 5y = -10?

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Question 1189783: 5y = simplified
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Question 1189851: Michelle and Thea are running in the Fun Run. Michelle runs at 7 kilometers per hour and Thea at 5 kilometer per hour. If they start at the same time, how long will it be before Michelle is one-fourth kilometer ahead of Thea?

Click here to see answer by mananth(16946) About Me 
Question 1189851: Michelle and Thea are running in the Fun Run. Michelle runs at 7 kilometers per hour and Thea at 5 kilometer per hour. If they start at the same time, how long will it be before Michelle is one-fourth kilometer ahead of Thea?

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

Question 1189916: The Allen family and the Phillips family each used their sprinklers last summer. The water output rate for the Allen family's sprinkler was 25L per hour. The water output rate for the Phillips family's sprinkler was 30L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1550L. How long was each sprinkler used?

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

Question 1189920: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 30% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Click here to see answer by Boreal(15235) About Me 
Question 1189920: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 30% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Click here to see answer by Theo(13342) About Me 
Question 1189920: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 30% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1189979: The equation of a straight line p is 3y-2x=7.Writte the equation of p in the standard form.
Click here to see answer by MathLover1(20849) About Me 
Question 1189979: The equation of a straight line p is 3y-2x=7.Writte the equation of p in the standard form.
Click here to see answer by MathTherapy(10552) About Me 

Question 1189977: Hello,
I have some problems with this task, could you help me make formulas to be able to solve the task? The results are not that important for me, a clear solution would be great.
A western shop wishes to purchase 470 felt and 370 straw cowboy hats. Bids have been received from three wholesalers. Texas hatters has agreed to supply not more than 370, Lone Star Hatters not more than 463, and Lariat Ranch Wear not more than 185. The owner of the shop has estimated that his profit per hat sold from Texas Hatters would be $3/felt and $4/straw, Lone Star Hatters would be $3,80/felt and $3,50/straw and from Lariat Ranch Wear $4/felt and $3,60/straw. Solve this to maximize the owner's profit, and calculate that profit.

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

Question 1189928: 1 (a) Using a scale of 2 cm=10 units on both axes, graph the feasible region represented by the following system of inequalities:
x+y ≤50
2x-y ≤40
-3x+y ≤10
x≥0
y≥0 [8 mks]

(b) Based on the result of part (a) above:
(i) determine the maximum value of the objective function:
Z=15x+25y [2 mks]

(ii) State clearly at what value of x and y does the maximum value occur. [2 mks]

END

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

Question 1190032: A rectangle has length 2 cm longer than its width. If the rectangle has perimeter 52 cm, find its width.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1189971: Find the interest on the following amounts using 6%-6 day method:
1. P6,500 at 6% for 54 days
2. P1,500 at 6% for 120 days

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Question 1189971: Find the interest on the following amounts using 6%-6 day method:
1. P6,500 at 6% for 54 days
2. P1,500 at 6% for 120 days

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Question 1190061: Decide which of the two given functions is linear and find its equation.
x 0 1 2 3 4
f(x) 7 9 11 13 15
g(x) 9 9 13 11 15

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Question 1190118: Write the line in slope intercept from that goes through the point (3, -2) and is parallel to y=4x+8.

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Question 1190188: 6. The following are system of linear equation in two variables, except.
a. system%28x+%2B+y+=+11%2C++x+-+y+=+4%29
b. system%28-x+=+5%2C+y+-+4y+=+2+%29
c. system%28x+%2B+4+=+y%2C2x+-+2y+=+-8%29
d. system%28x+%2B+8y+=+8%2C3x+%2B+y+=+18%29

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1190244: How do you find the equation of line through point (4,-2) perpendicular to line 3x + 2y =12
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Question 1190342: y+2= - 1/4(x+8)

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Question 1190342: y+2= - 1/4(x+8)

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Question 1190416: Nerissa has the option of either paying her obligation of P10,500 today or settling it for P11,200 after 6 months. Find the simple interest rate at which she would be charged?
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Question 1190417: A casette recorder for P5,600 is to be paid by equal installments for one year. If the rate of interest is 20% simple interest per annum, how much is the monthly installment?
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Question 1190427: Robert has P2,000 savings bond which will mature in 10 months. How much can he borrow today at a bank which charges 5½% simple interest so that the maturity value of the bond will liquidate the loan?
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Question 1190515: Chris is a competitive swimmer. From experience, he knows that the function
g(t) will represent his height above the water when he dives off of the regular 4-foot-high diving platform, where t is the number of seconds after he jumps off of the platform. This function works when t≥0 (up until he hits the water).
This reminded Chris of another time when he was distracted, and jumped off the 30-foot super-high-dive platform two seconds before the starting signal.
Write an expression (using the function g) that will model Chris's height above the water, where t is the number of seconds after the starting signal.

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Question 1190780: The perimeter of a rectangular farm is 1800 m and its length is 140 m longer than its width. Find the area of the farm.
Click here to see answer by Alan3354(69443) About Me 

Question 1190941: Please help me find the answe tho these questions: A triangle ABC with A(1, 1) and B(-1,4). The gradients of AB, AV and BC are -3m, 3m and m respectively.
a) Find the value of m
b) Find the coordinates of C
c) Show that AC = 2AB [10 Marks]

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Question 1191010: Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10
Click here to see answer by Alan3354(69443) About Me 
Question 1191010: Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10
Click here to see answer by MathLover1(20849) About Me 
Question 1191010: Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10
Click here to see answer by ikleyn(52781) About Me 
Question 1191010: Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10
Click here to see answer by greenestamps(13200) About Me 

Question 1190994: Q1. write the equation of the line containing (-3,2) and (-6,-4)?
Q2. write the equation of the line with slope of -1/4 and contains the point (4,-3)?
Q3. write the equation of the line that contains (2,7) and is parallel to the line y=2x-1?
Please show all work

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Question 1191061: Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. For one performance,40 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $1975. What was the price of each kind of ticket?


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Question 1191560: The larger of two numbers is 10 less than twice the smaller number. If the sum of the two
numbers is 38, find the two numbers.

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Question 1191689: In the year 2340, Joanna, who is a spectacular snow-hoverboard rider, charters a
flight to the moon to ride its killer slopes. She is going to try and break the
world-record and complete a 7110◦ rotation. If she is facing due west when she
enters the air off the jump, and she rotates counter-clockwise what direction should
she be facing if she is to break the record?

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Question 1191811: You are working with your friend who finds the solution of `-x + 2y = 1` and `-2x - 3y = -12` to be `(-1,0)`. Explain to your friend why the answer is incorrect.

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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, 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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, 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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