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

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Question 1100983: The sum of two numbers is 47. The sum of the smaller and 2 times the larger is 76 . Find the numbers?
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Question 1100983: The sum of two numbers is 47. The sum of the smaller and 2 times the larger is 76 . Find the numbers?
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Question 1100988: The sum of two numbers is 20 the sum of the smaller and 4 times the larger is 56 . Find the numbers
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Question 1100989: Mark has a total of 41 coins consisting of nickels and quarters the total value of the coins is 4.85. How many of each type of coin does he have?
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Question 1100989: Mark has a total of 41 coins consisting of nickels and quarters the total value of the coins is 4.85. How many of each type of coin does he have?
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Question 1101080: Charles is 23 years older than his sister carol. In 16 years he will be twice as old as carol. How old is each of them now?
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Question 1101085: Bethany Is working her way through school. She works two part-time Jobs for a total of 22 hours a week. Job A pays $6.10 per hour and job B pays $6.80 per hour. How many hours does she work at each job the week that she made $144
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Question 1101085: Bethany Is working her way through school. She works two part-time Jobs for a total of 22 hours a week. Job A pays $6.10 per hour and job B pays $6.80 per hour. How many hours does she work at each job the week that she made $144
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Question 1101094: Carol has some dimes and quarters if she has 25 coins worth a total of $3.70 how many of each type of coin does she have?
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Question 1101094: Carol has some dimes and quarters if she has 25 coins worth a total of $3.70 how many of each type of coin does she have?
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Question 1101073: Two planes just took off from Boston Ma the first plane is traveling 1.5 times as fast as the second plane . After traveling in the same direction for 9 hours they are 387 miles apart . What is the average speed of each plane ?
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Question 1101191: The perimeter of a rectangular volleyball court is 180 feet.The court's width,w,is half of its length,l.Determine the deminsions,in feet,of the volleyball court.
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Question 1101169: Penter decides to mix grade of gasoline in his truck. He put in 5 gallons of regular and 10 gallons of premium for a total cost of $31.05. If premium gasoline cost $0.18 more per gallon then regular what was the price of each grade of gasoline?
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Question 1101268: Peter decides to mix grades of gasoline in his truck. He put in 6 gallons of regular in 7 gallons of premium or total cost of $34.09. If premium gasoline cost $.19 more per gallon then regular what was the price of each grade of gasoline
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Question 1101278: An investor bought 400 shares of stock some at $6.75 per share and some at $5.00 per share. If the total cost was $2306.25 how many shares of each stock did the investor buy? Round to two decimal places if necessary
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Question 1101283: Dairy Farmer wants to mix a 75% protein supplement any standard 25% protein ratio between a 1800 lb of a high grade 70% protein radiation. How many pounds of each should he use ?
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Question 1101482: -2-3b=4
B equals

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Question 1101482: -2-3b=4
B equals

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Question 1101499: A police officer writes , on average, 45 tickets per hour. Officer Ramirez already wrote 145 tickets. Write an equation that can be used to find y number of tickets Officer Ramirez will write in ax hours.
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Question 1101481: How can I find the residual and predicted value for the equation y= -.07x+9?
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Question 1101683: Two cars,325 kilometers apart ,travel towards each other.One car travels at a rate of 70 km/h and the other at 60 km/h.after how many hours will they meet?
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Question 1101690: Two towns A and B ate 42 km apart. A person starts from A,walks at 4 km/h towards B and meets another person coming from B towards A after 6 hours. Find the rate at which the second person is walking, if both persons start walking at the same time.
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Question 1101820: Aman started a business with an aim of making it grow and become aregional business within Uganda and even become international in the future. in the stages the business was handling basically the supply of laptops and telephones. Each laptop was supplied at aprice of ugshs2000000 where as every phone was supplied at a price of ugshs 500000. The management realised that in this business, supply of each laptop costs him ugshs 800000 whereas supply of a telephone costs him ugshs 100000. To be able to supply these products tp the customer, the businessman has to ensure that the he uses fuel for his car as well as time to move around delivering the products. To deliver a laptop, he uses 2liters of fuel and 3hours while to deliver a phone he uses 4liters of fuel and 1 hour of moving around, in aparticular month, he found that he has amaximum of 30hours and 80 liters of fuel.Establish the number of phones and laptops that should be distributed in oredr to maximise profits in the and compute the profit?
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Question 1098301: HELPPP!!!! DUE TOMORROW!!:
Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$?

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Question 1098301: HELPPP!!!! DUE TOMORROW!!:
Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$?

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Question 1101985: An exam worth 145 points contains 50 questions.Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test? Write a linear system of equations that can be used to solve this problem. Solve
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Question 1102013: In a right​ triangle, find the length of the side not given.
a=12​, c=20
A right triangle has legs of lengths a and b and a hypotenuse of length c.
The length of the third side is

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Question 1102012: In a museum of​ art, the most intriguing piece is a line of red yarn 22.05 ft long that dissects the​ room, drawing the eye up and out the window. It extends from point x in the floor of the room to point y in the window 8.7 ft from the floor. How far is point x from point z at the bottom of the window directly below point​ y?
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Question 1102262: What is the solution of +2,-1 in system of inequalities
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Question 1102257: What is the solution of linear inequalities of +2,-1
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Question 1102882: Use a matrix to find the solution to the system of equations.
-8x-8y=-16
6x-9y=-108

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Question 1102854: Amina sells T-shirts and singlets. A T-shirt costs 5times as much as a singlet. For GH¢800.00, she can buy 32 more singlets than a T-shirt. How much does a T-shirt cost?

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Question 1102924: Where do the lines y=35x and y=15x+2000 meet?
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Question 1103100: 9x – 3y = 12
A) Take the equation and change it into slope intercept form.
B) Determine the y intercept and slope of this linear equation.
C) Find the equation of the line that passes through the point, ( 3, 5 ) and is perpendicular to the original line.
I just need the answer to part C! I think I got the other two. But if you'd like to check
Part A: 9x – 3y = 12 – add 3y to both sides since this problem is subtraction
9x = 3y + 12 – now divide both sides from 9x, this will leave x by itself.
9x / 9 = 3y + 12 / 9
x = 1/3y + 4/3
PART B: 1/3 = slope ||||| 4/3 = y intercept

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Question 1103183: 2x + 5y= 10
50x+ 125y= 100

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Question 1103187: The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of pages in the tax code and the Bible is 21,472.
How many pages are in the U.S. tax code?

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Question 1103248: In 1994, the number of cassettes singles shipped was 81.1 milliion. In 1997, that number dropped to 42.2 million. Write an equation that give the number of cassettes shipped, y, in terms of the year, t. Let t=4 repressent 1994
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Question 1103251: Determine the value of k for which the system of linear
equations
3x + 4y = 12
x + ky = 4
Please help to solve this problem

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Question 1103262: Solve the system of equations -2x-2y=−4 and 4x+3y=11 by combining the equations
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Question 1103262: Solve the system of equations -2x-2y=−4 and 4x+3y=11 by combining the equations
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Question 1103360: Find the equation of a straight line having x-intercet equal to 8 and y-intercept equal to -4?

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Question 1103533: Fred's rental truck company charges $50 to rent a truck plus $1 per mile driven. Mitch's rental company charges $35 to rent a truck plus $2 per mile driven. For what number of miles would the companies charge the same?
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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 1103539: Ms. Corley wants to take her class on a field trip to either the nature center or the zoo. The nature centure charges $4 per student plus $95 for a 1 hour natrualist program.The zoo charges $9 per student plus $75 for a 1 hour guided tour. For what number of students (s) will the cost (c) be the same?
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Question 1103531: The height of the Washington Monument is 33 feet less than six times the height of the Lincoln
Memorial. The difference in their heights is 457 feet. How high are they?

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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