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

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Question 1150003: A scientist mixes 40% water (containing no salt) with a solution that contains salt. She wants to obtain 120 ounces of a mixture that is 35% salt. How many ounces of water and how many ounces of the 40% salt solution should she use?
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Question 1149995: Jake works at Musicloud. He is responsible for checking the incoming shipments. An order of 20 portable radios and 25 CD players arrives, but the invoice is torn, so only the final charge of $1692.50 is readable. He remembers that that the CD players were $20 more than the radios. How much did one radio and one CD player cost? [Systems of Equations]
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Question 1150100: David has a total of 4.10 pesos in 5 cent, 10 cent and 25 cent coins. He has twice as many 5 cent coins and two more 25 cent coins than 10 cent coins. How many 10 cent coins does he have?
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Question 1150101: David has a total of 4.10 pesos in 5 cent, 10 cent and 25 cent coins. He has twice as many 5 cent coins and two more 25 cent coins than 10 cent coins. How many 10 cent coins does he have?
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Question 1150111: An investor buys a total of 360 tickets for CONCERT. The price of adult ticket is $35, while the price for children's ticket is $45. The investor spends a total of $15000. How many tickets for adult and for children did he buy?
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Question 1150119: a chicken farmer can buy a special food mix A at 20c per kg and special food mix B at 40c per kg. Each kg of mix A contains 3000 units of nutrient N1 and 1000 units of nutrient N2; each kg of mix B contains 4000 units of nutrient N1
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Question 1150141: A piggy bank contains Php 57 worth of coins in Php 1 and Php 5 denominations. The number of Php 1-coin is one more than twice the number of Php 5-coins. How many coins of each kind does the piggy bank contain?
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Question 1150154: Santa and his elves are making toys in santa's workshop for all the good little girls nd boys if there are twice as many wooden cars as wooden trains and there are 228 wooden vehicles made how many wooden trains did they make
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Question 1150140: Ophel has Php53.00 in 5 peso and 1 peso coins pieces. If she has 25 coins all, how many has she of each kind?
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Question 1150140: Ophel has Php53.00 in 5 peso and 1 peso coins pieces. If she has 25 coins all, how many has she of each kind?
Click here to see answer by ikleyn(52786) About Me 

Question 1150510: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1,k+1) and (3,5).
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Question 1150511: Find the value of k that makes the line through (-4,k) and (-1, 2k) have a y-intercept of -7.
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Question 1150568: Could you help me, please?
I need to answer this:
1-When a baby was born, she weighed 8 pounds. At 24 weeks, she weighed 14 pounds.
-When a puppy was adopted, he was 6 weeks old and weighed 13 pounds.At 15 weeks , he weighed 31 pounds.
A-Write equations to represent the situation. Define the variables and show work.
I answered like this:
X=time Y=pounds m= y2-y1/x2-x1
baby:

(24,14) (0,8)
y=1/4x+8
am I correct? How I should resolve in the case of puppy?
B-Who weighed 10 pounds first, the baby or the puppy? show your work.
Thanks!!

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Question 1150579: A farmer raises chickens and cows. he has a total of 34 animals in his
barnyard. His six year old son came in one day all excited saying,"Daddy,
Daddy, did you know all of your animals have a total of 110 legs. How many
chickens and how many cows does the farmer have>

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Question 1150112: Ophel has Php 53.00 in 5 peso and 1 peso coins pieces. If she has 25 coins all, how many has she of each kind?
Click here to see answer by Cromlix(4381) About Me 
Question 1150112: Ophel has Php 53.00 in 5 peso and 1 peso coins pieces. If she has 25 coins all, how many has she of each kind?
Click here to see answer by ikleyn(52786) About Me 

Question 1150622: solve the formula for h
V=wlh

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Question 1150634: Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many $5 bills does he have?

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Question 1150683: Jimmy has $200 to buy dessert. Pies cost $10 each, cakes $20. 1 pie feeds 12 people, 1 cake feeds 24. There are 210 people coming. Right 4 inequalities/equations.
- This isn't the exact problem, but all of the values and variables are correct, but I am pretty sure it is 4 equations/inequalities, and it needs to be solved.

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Question 1150812: 7(x+4)-2[x-3(5+x)]=2/3(x-6)
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Question 1150812: 7(x+4)-2[x-3(5+x)]=2/3(x-6)
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Question 1150812: 7(x+4)-2[x-3(5+x)]=2/3(x-6)
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Question 1150812: 7(x+4)-2[x-3(5+x)]=2/3(x-6)
Click here to see answer by josgarithmetic(39617) About Me 

Question 1150823: Consider a square and a regular hexagon (a six sided figure with sides of equal length) One side of the square is 1 foot longer than a side of the hexagon, and the two figures have the same perimeter, what are the lengths of the sides of each figure?
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Question 1150823: Consider a square and a regular hexagon (a six sided figure with sides of equal length) One side of the square is 1 foot longer than a side of the hexagon, and the two figures have the same perimeter, what are the lengths of the sides of each figure?
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Question 1151064: Pre-orders for the year cost $38 each, while full price costs $45 each. If 24 students in Mr. Hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ?
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Question 1151064: Pre-orders for the year cost $38 each, while full price costs $45 each. If 24 students in Mr. Hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ?
Click here to see answer by rothauserc(4718) About Me 
Question 1151064: Pre-orders for the year cost $38 each, while full price costs $45 each. If 24 students in Mr. Hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ?
Click here to see answer by greenestamps(13200) About Me 

Question 1151286: Solve this application problem using a system of equations: In a basketball game, Alan scored 30 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
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Question 1151505: On Thursday, a local hamburger shop sold a combined total of 321 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Thursday?


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Question 1151535: −y−10=6x
5x+y=−10

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Question 1151622: are the two lines parallel, perpendicular, or neither?
3x+7y=15
7x=3y=6

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Question 1152007: 0.01p+0.05n=8.80
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Question 1152258: Vivian and her family are at the movies and wish to purchase some popcorn. A large popcorn costs $5 and a small popcorn costs $2. Vivian has offered to pay for the popcorn with the $23 in her wallet.
If she buys 4 small popcorns, what is the maximum number of large popcorns she can buy?

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Question 1152255: A purse containing only $5 and $10 coins,has 6 more $10 coins than $5 coins. The total value of the money is $360. How many $5 coins and $10 coins are in the purse.
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Question 1152315: Use two equations in two variables to solve the application. See Example 1. (Objective 1)
The salaries of the President and Vice President of a certain country total $572,800 a year. If the President makes $227,200 more than the Vice President, find each of their salaries.

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Question 1152318: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.

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Question 1152318: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.

Click here to see answer by MathTherapy(10552) About Me 
Question 1152318: Use two equations in two variables to solve the application.
Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.

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Question 1152326: Solve the system of equations given below.
8x+4y=16
7y=15-x

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Question 1152335: chayla and lena pool their resources to buy several lottery tickets. they win $370,000! They agree that Lena should get $70,000 more than Chayla, because she gave most of the money. How much will Chayla get? Please just give me the answer!!!
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Question 1152472: write an equation for the line containing the points (2, 2) and (3, -3)
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Question 1152471: write an equation in slope-intercept form for the line with slope -4 that contains the point (0, -3)
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Question 1152516: a cheese factory is making a new cheese from mixing two products a and b, each made of three different types of milk- sheep, cow and goat milk. The composition of a and b and $/kg
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Question 1152518: Find the basis for the following subspaces of R4
A. Vectors for which x1 = 2x4
B. Vectors for which x1 + x2 + x3 = 0 and x3 + x4 = 0

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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