Tutors Answer Your Questions about Linear-equations (FREE)
Question 1118633: Consider the line x/4 + y/8 = k where k is a positive number.
A) in terms of k, write down the coordinates of A and B, the points where the line meets the x and y axes respectively
B) the area of triangle AOB, where O is the origin, is 144 units squared. Find the value(s) of k
Click here to see answer by t0hierry(194)   |
Question 1118633: Consider the line x/4 + y/8 = k where k is a positive number.
A) in terms of k, write down the coordinates of A and B, the points where the line meets the x and y axes respectively
B) the area of triangle AOB, where O is the origin, is 144 units squared. Find the value(s) of k
Click here to see answer by Boreal(15235)  |
Question 1118680: At Shen's auto shop, it takes him 15 minutes to do an oil change and 20 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does.
Using the values and variables given, write an inequality describing how many oil changes and tire changes Shen can do in at most 2 hours (120 mins)
Click here to see answer by t0hierry(194) |
Question 1118680: At Shen's auto shop, it takes him 15 minutes to do an oil change and 20 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does.
Using the values and variables given, write an inequality describing how many oil changes and tire changes Shen can do in at most 2 hours (120 mins)
Click here to see answer by ikleyn(52781)  |
Question 1118698: Consider the line x/4 + y/8 = k where k is a positive number.
a) In terms of k, write down the coordinates of A and B, the points where the line meets the x and y axes respectively.
b) The area of triangle AOB, where O is the origin, is 144 units^2. Find the value(s) of k.
Click here to see answer by stanbon(75887) |
Question 1118726: Find an equation describing all points P(x,y) equidistant from Q(-3,4) and R(1,-3). (use the general equation of a line - input the numerical coefficient of each term of the equation below)
Answer: _____x -_____ y + _____= _____
Click here to see answer by Alan3354(69443)  |
Question 1118770: At work one day, Erica Franz received 28 packages. Speedy Delivery delivered twice as many as Ralph's Express, while Ralph's Express delivered four more than SendQuick Package Service. How many packages did each service deliver to Erica?
Click here to see answer by josgarithmetic(39617) |
Question 1118783:
Problema Solution
A Broadway theater has 700 seats, divided into orchestra,main and balcony seating. Orchestra seats sell for $40, main seats sell for $25, and balcony seats for $20. If all the seats are sold, the gross revenue to the theater is $18,400. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $15,600. How many are there of each kind of seat?
Click here to see answer by ikleyn(52781) |
Question 1118783:
Problema Solution
A Broadway theater has 700 seats, divided into orchestra,main and balcony seating. Orchestra seats sell for $40, main seats sell for $25, and balcony seats for $20. If all the seats are sold, the gross revenue to the theater is $18,400. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $15,600. How many are there of each kind of seat?
Click here to see answer by greenestamps(13200)  |
Question 1118832: Can some one please check my "work"
a moving company wants to purchase a min of 15 trucks with a load capacity of at least 36 tons. Model a holds 2 tons and costs 15,000 Model b holds 3 toms and costs 24,000 how many of each to minimize costs and what is the cost
Here is what I have so far
M= 15A+24B
A+B=15
B= -A+15
2A+3B _> 36
B= -2/3A + 12
Vertexs
0,15
9,6
18,0
to get lowest cost and min amount of capacity they need to buy 18 "truck A" and 0 "Truck B"
is this correct or am I missing a step?
Click here to see answer by ikleyn(52781) |
Question 1118832: Can some one please check my "work"
a moving company wants to purchase a min of 15 trucks with a load capacity of at least 36 tons. Model a holds 2 tons and costs 15,000 Model b holds 3 toms and costs 24,000 how many of each to minimize costs and what is the cost
Here is what I have so far
M= 15A+24B
A+B=15
B= -A+15
2A+3B _> 36
B= -2/3A + 12
Vertexs
0,15
9,6
18,0
to get lowest cost and min amount of capacity they need to buy 18 "truck A" and 0 "Truck B"
is this correct or am I missing a step?
Click here to see answer by greenestamps(13200) |
Question 1118974: An experienced teaching assistant can grade all exams for a calculus class 3 hours faster than a new teaching assistant. Working together, the teaching assistants can grade all the exams for the calculus class in 5 hours. How long would it take for the new teaching assistant to grade all of the exams for the calculus class alone?
Click here to see answer by josgarithmetic(39617) |
Question 1118987: A shopkeeper sells a eraser for RS 2 and a shapner at rs 3 .ram purchases some erasers and sharpners.while calculating the amount mistakenly he considers rs 3 for eraser and 2 for sharpener. The amount is 10 rupees more than the actual amount.find the number of sharpner purchased if ram purchases 20 item in all
Click here to see answer by ikleyn(52781) |
Question 1119271: Good morning, I have a question regarding ordered pairs.
The question is as follows:
Given the equation below, find five ordered pair solutions by completing the table, showing all work in the space below.
y=2x-3
I am given a table as follows
x -2 0 3
y Blank Blank Blank 0 5
I have solved for the unknown's in y, at least I believe I'm correct:
x -2 0 3
y -7 -3 3 0 5
I cannot, for the life of me, figure out how to find the values for x.
Any and all help is appreciate.
Click here to see answer by Alan3354(69443) |
Question 1119480: A rod is 8 feet long. A weight of 100 pounds is fastened to one end, a weight of 75 pounds to the other. At a distance of 2feet from the 100 pound weight a third weight of 65 pounds is fastened. Where is the balancing point. a) if the weight of the rod can be neglected? b) if the rod weighs 10 pounds per foot?
Click here to see answer by ikleyn(52781) |
Question 1119626: The Mississippi River is the second longest river in the U.S. flowing through 10 states. It flows 2340 miles from its start in Minnesota before emptying into the Gulf of Mexico. Water flows downhill at rates dependent on the grade or slope of the riverbed. The grade/slope of the Mississippi River varies along its entire length with water flowing faster in the steeper grades and slower in the more shallow grades. In this activity, you will discover the fastest and slowest parts of the Mississippi River using your knowledge of slope and provided elevation and distance data.
Mileage Between Cities Along the Mississippi
Twin Cities to LaCrosse 144 mi
Wickliffe to Memphis 171 mi
LaCrosse to Dubuque 129 mi
Memphis to Helena 48 mi
Dubuque to Quad Cities 70 mi
Helena to Vicksburg 133 mi
Quad Cities to St. Louis 312 mi
Vicksburg to New Orleans 161 mi
St. Louis to Wickliffe 154 mi
DATA ANALYSIS
Construct a graph using the data on the previous page. The x-axis will be the distance, in miles, from the Twin Cities and the y-axis will be the elevation of the city, in feet. For example, the (x, y) coordinates for the Dubuque will be (273, 620). Submit a graph. Label each point with the city name. Your finished graph should show the steepness or gradient of the Mississippi River from the Twin Cities all the way to New Orleans.
Calculate the slope of the river, rounded to 3 decimal places, between the following cities.
Twin Cities and LaCrosse:
LaCrosse and Dubuque:
Dubuque and Quad Cities:
Quad Cities and St. Louis:
St. Louis and Wickliffe:
Wickliffe and Memphis:
Memphis and Helena:
Helena and Vicksburg:
Vicksburg and New Orleans:
What are the units on the slope?
In the context of this problem, what does the slope mean?
Using your graph and slope values, the Mississippi River flows the fastest between which two cities?
Using your graph and slope values, the Mississippi River flows the slowest between which two cities?
Click here to see answer by solver91311(24713)  |
Question 1119626: The Mississippi River is the second longest river in the U.S. flowing through 10 states. It flows 2340 miles from its start in Minnesota before emptying into the Gulf of Mexico. Water flows downhill at rates dependent on the grade or slope of the riverbed. The grade/slope of the Mississippi River varies along its entire length with water flowing faster in the steeper grades and slower in the more shallow grades. In this activity, you will discover the fastest and slowest parts of the Mississippi River using your knowledge of slope and provided elevation and distance data.
Mileage Between Cities Along the Mississippi
Twin Cities to LaCrosse 144 mi
Wickliffe to Memphis 171 mi
LaCrosse to Dubuque 129 mi
Memphis to Helena 48 mi
Dubuque to Quad Cities 70 mi
Helena to Vicksburg 133 mi
Quad Cities to St. Louis 312 mi
Vicksburg to New Orleans 161 mi
St. Louis to Wickliffe 154 mi
DATA ANALYSIS
Construct a graph using the data on the previous page. The x-axis will be the distance, in miles, from the Twin Cities and the y-axis will be the elevation of the city, in feet. For example, the (x, y) coordinates for the Dubuque will be (273, 620). Submit a graph. Label each point with the city name. Your finished graph should show the steepness or gradient of the Mississippi River from the Twin Cities all the way to New Orleans.
Calculate the slope of the river, rounded to 3 decimal places, between the following cities.
Twin Cities and LaCrosse:
LaCrosse and Dubuque:
Dubuque and Quad Cities:
Quad Cities and St. Louis:
St. Louis and Wickliffe:
Wickliffe and Memphis:
Memphis and Helena:
Helena and Vicksburg:
Vicksburg and New Orleans:
What are the units on the slope?
In the context of this problem, what does the slope mean?
Using your graph and slope values, the Mississippi River flows the fastest between which two cities?
Using your graph and slope values, the Mississippi River flows the slowest between which two cities?
Click here to see answer by ikleyn(52781) |
Question 1119787: * The sum of four consecutive numbers is 28. Find the numbers
* The sum of three consecutive numbers is 27. The second number is three times the first,while the third is twice the first find their average
* Emma is twice as old as Greg who in turn is 5 years older than Kevin. If their total age is 47.How old is each of them
Click here to see answer by josgarithmetic(39617) |
Question 1119787: * The sum of four consecutive numbers is 28. Find the numbers
* The sum of three consecutive numbers is 27. The second number is three times the first,while the third is twice the first find their average
* Emma is twice as old as Greg who in turn is 5 years older than Kevin. If their total age is 47.How old is each of them
Click here to see answer by ikleyn(52781) |
Question 1120005: A book store sold 144 graphing calculators using two different models. Some of these were the Basic Grapher Model (which sells for $23 each) and the rest were the exquisite SuperGrapher model (which sells for $90 each). The book store received a total of $10347 from that sale of these two calculators. Using algebra find how many of the BasicGrapher and how many of the SuperGrapher were sold.
Thank you
Click here to see answer by Fombitz(32388)  |
|
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
|
