Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 1103540: A particular algebra text has a total of 1382 pages which is broken into two parts. The second part of the book has 64 fewer pages than the first part. How many pages are in each part of the book?
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Question 1103532: The perimeter of the National Mall is 7 km. Its length is 6 times its width. Find the area.
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Question 1103572: Find partial fraction decomposition of %28x%5E3%2B1%29%2F%28x%5E2%2B16%29%5E2
It has a repeated quadratic factor in the denominator so I would start it as%28x%5E3%2B1%29%2F%28x%5E2%2B16%29%5E2= %28Ax%2BB%29%2F%28x%5E2%2B16%29+%28Cx%2BD%29%2F%28x%5E2%2B16%29%5E2
then you would multiply the three sections by %28x%5E2%2B16%29%5E2
then I got x%5E3%2B1%29=Ax%2BB%28x%5E2%2B16%29%2BCx%2BD
x%5E3%2B1%29=Ax%5E3%2B16Ax%2BBx%5E2%2B16B%2BCx%2BD
Then you would set up a series of equations but from the work above I'm certain it's wrong from where I split up the equation but I dont have a solution to this in my text. Thank you for any help!

Click here to see answer by greenestamps(13200) About Me 

Question 1103535: A local football stadium sells tickets to good seats for $5 each and poor seats for $2 each. On friday night there were 210 people in the stadium. The total ticket sale was $660. How many good and poor seats were sold?
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Question 1103604: The sum of two numbers is 65 and their difference is 13. what are the numbers?
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Question 1103615: 4x-2y=2
4x+y=11
Solve the system of equations using subtraction

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Question 1103615: 4x-2y=2
4x+y=11
Solve the system of equations using subtraction

Click here to see answer by ikleyn(52782) About Me 

Question 1103669: 2x+3y=3
3x-7y= -30
solve system by addition method. Solve for x,y

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Question 1103663: the length of a rectangle is 10ft less than twice the width. if the perimeter is 178 ft, find the length and width.
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Question 1103530: On January 22nd , 2006, Kobe Bryant scored 81 points against the Toronto Raptors. Including
three‐pointers, two‐pointers, and free‐throws he made 46 shots. He made three times as many two‐
point shots as three‐point shots. How many free-throws did Kobe Bryant make?

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Question 1103801: The sum of three consecutive integers is 75.Find the sum of the largest and smallest integers.
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Question 1103850: If the largest number 50 is removed from a set of 10 numbers, the mean is reduced by 4. What is the mean of the original set of numbers?
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Question 1103846: It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane. Suppose that a plane is traveling directly toward you at a speed of 220 mph and an altitude of 1,600 feet, and you hear the sound at what seems to be an angle of inclination of 26 degrees.
At what angle should you actually look in order to see the plane? Assume the speed of sound is 1,100 ft/sec
Thank you in advance for you help!

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

Question 1103856: If the difference between the square of a positive integer and the integer before it is 33, what is the integer?
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Question 1103857: The officers of a math club will pay equal contributions to buy a cake worth $480 for their moderator. If there were two more officers, their contribution will be reduced by $12 each. How many officers are there?
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Question 1104050: when carrying 18 gallons of fuel, the airplane weighs 2117 pounds. when carrying 44 gallons of fuel, it weighs 2286 pounds. how much does the airplane weigh if it is carrying 48 gallons of fuel?
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Question 1104050: when carrying 18 gallons of fuel, the airplane weighs 2117 pounds. when carrying 44 gallons of fuel, it weighs 2286 pounds. how much does the airplane weigh if it is carrying 48 gallons of fuel?
Click here to see answer by ikleyn(52782) About Me 

Question 1104401: On my HW, there as a problem where I’m stuck on it. The problem is to solve x + 2y = -5 and 4x - 3y = 2 using the elimination method and ive already simplified it to 5x - y = -3, then thats where I get stuck.

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Question 1104450: -3/4x+2y=1/4
1/3x-1/2=-3

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Question 1104488: Maximize:Z=40x+88y
Subject to:2x+8y≤60
5x+2y≥60,x,y,>0

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Question 1104488: Maximize:Z=40x+88y
Subject to:2x+8y≤60
5x+2y≥60,x,y,>0

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Question 1104605: Where does the equations 2x+5y=145 and x+y=50 intercept at?

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Question 1104605: Where does the equations 2x+5y=145 and x+y=50 intercept at?

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Question 1104673: Please help me solve this linear equation: 45x%2B35y=15%2C000
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Question 1104743: hi
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Question 1104845: Please help me solve this word problem.
Write a system of the questions and then solve using the method of your choice
the reserve seat tickets for the football game cost four dollars each and the general mission tickets three dollars each after the game is over there and end count shows 1787 people attended the game the total receipts were $5792. find the number of each kind of tickets sold.

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Question 1104877: Can you please help me with this math problem PLEASE!
Navy is trying to decide what would be the best cell phone plan for her. She has narrowed her choices down to two. Spirit and Horizon. Spirit has a fixed fee of $20 and an additional charge of 5 cents per minute. Horizon has no fixed fee and charges 15 cents per minute. Form a systems of equation for this problem.

Click here to see answer by Theo(13342) About Me 
Question 1104877: Can you please help me with this math problem PLEASE!
Navy is trying to decide what would be the best cell phone plan for her. She has narrowed her choices down to two. Spirit and Horizon. Spirit has a fixed fee of $20 and an additional charge of 5 cents per minute. Horizon has no fixed fee and charges 15 cents per minute. Form a systems of equation for this problem.

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Question 1104946: Solve the system by back substitution.
2x+4y+z+3w=1
-2y-12z-4w=-16
z+w=2
-5w=-15
The solution set is

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Question 1105004: 4x-y=63
3y=x

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Question 1105004: 4x-y=63
3y=x

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Question 1105031: For part of the first year of a dog's life, its growth can be approximated using a linear function.Emilie has two puppies: a Border collie and a younger Saint Bernard.During a 4-week period, the Border collie grows from 13.4 kg to 17 while the Saint Bernard grows from 6 kg to 12.4 kg.Suppose each dog grows at a constant rate.Will the dogs ever have the same mass?If so, approximately what is the mass?
Click here to see answer by josmiceli(19441) About Me 

Question 1105157: An avalanche rescue team travels 8.55 km along a snow-covered trail. For the first section, the trail is flat. The team averages a speed of 2.7 km/h. Then, the terrain becomes mountainous and their average speed is only 1.2 km/h. The one-way trip takes the team 4.0 h. Determine the distance that the team travels on each type of terrain
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Question 1105156: Soo Jin had basketball practice after school. Then she cycled home. Playing basketball, she expends energy at a rate of 25 kl per minute, Cycling home, she burns entrgy at a rate of 21 kJ per minute. She spent a total of 90 min doing both f s of exercise. During this time, she expended a total of 217a k of energy. How much time did she spend doing each activity?
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Question 1105239: A plane can travel 1,015 miles in 7 hours against the wind. Traveling with the same wind, the plane can travel 820 miles in 4 hours. How fast can the plane travel in still air and how fast is the wind current?
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Question 1105270: A system of two equations is shown below. What will you need to multiply the top equation by in order to solve this system using the elimination method?
2x +y = 11
5x + 3y = 29

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Question 1105330: Conside the equation 7x-3y =2. Find a second linear equation to create a system of equation that has
1. 1 solution
2. No solution
3. Infiniety many solution

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Question 1105366: Solve 2x+3y=27
3x+2y=8
X-y=1
X+y=??

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Question 1105384: The Jurassic Zoo charges ​$6 for each adult admission and ​$4 for each child. The total bill for the 101 people from a school trip was ​$444. How many adults and how many children went to the​ zoo?  
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Question 1105392: Maximize z=8x+12y subject to 40x+80y≤​560, 6x+8y≤​72, xs≥​0, and y≥0.
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Question 1105463: Is the system
6x+7y=63 and y= -3/7x + 6 inconsistent?
THANK YOU FOR TAKING YOUR TIME TO HELP ME!!! GREATLY APPRECIATED!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1105577: Cheryl is redoing her bathroom and has selected ceramic tiles for the 5 foot by 8 foot bathroom floor. The plain 6-inch square tiles cost 75 cents each; the decorative 2-inch squares cost $1.25 each. If Cheryl's total cost for the flooring is to be $246, how many decorative tiles can she get?
A) 108
B) 148
C) 209
D) 241
I know the answer is A but I have no idea why. Thanks!

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Question 1105629: 2x+3xy=7 is linear equation
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Question 1105763: Time(y) 0 1 2 3 4 5
Balance($) 5000 5600 6272 7025 7868 8812
Write an equation to represent this relation, is it linear or not explain.

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Question 1105764: Michelle has 18m of fencing to make a rectangular enclosure for her dog.
Use variables A for area and W for width to write an algebraic model that represents the relation

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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