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Question 1112079: You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs combined. How many hot dogs were sold and how many sodas were sold? Write a linear system of equations that can be used to solve this problem.
Click here to see answer by ikleyn(52786)

Question 1112180: write equations for the horizontal and vertical lines passing through the point (8,-8).
Horizontal line:
Vertical line:
Click here to see answer by ikleyn(52786)

Question 1112192: The Lakers scored a total of 80 points in a basketball game against the Bulls. The Lakers made a total of 37 two-point and three point baskets. How many two-point shots did the Lakers make? How many three-point shots did the Lakers make? Write a linear system of equations that can be used to solve this problem.
Click here to see answer by stanbon(75887)

Question 1112234: A total of M matches is needed to fill 30 match boxes with the same number of matches in each box.
(a) How many matches are in each box?
(b) If each box has three match sticks fewer, there would be enough sticks for 32 boxes,what is the value of m?
Click here to see answer by josmiceli(19441)

Question 1112284: What kind of system is y = 3x � 5, 2x + y = 8?

Click here to see answer by ikleyn(52786)

Question 1112296: y=7 into 2x+y=2

Click here to see answer by josgarithmetic(39617)

Question 1112320: You and a friend go to Taco Bell for lunch. You order three soft tacos and three burritos and your bill totals $11.25. Your friend�s bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost? Write a linear system of equations that can be used to solve this problem.
Click here to see answer by ikleyn(52786)

Question 1112490: The cost of 3 bananas, 2 mangoes and 4 oranges is 37. The cost of 5 bananas, 3 mangoes and 6 oranges is 57. Find the cost of each banana?
Click here to see answer by josgarithmetic(39617)

Question 1112591: What is the slope-intercept form for each equation in this system? Compare the slopes and y-intercepts to describe the graph of the system.
3x - 4y = 28
4x + 10y = 20
Click here to see answer by josgarithmetic(39617)

Question 1112777: There is some money with Arun and some money with Kiran. If Arun gives Rs 60 to Kiran, then the amounts with them would be equal. If instead Kiran gives Rs 20 to Arun, then Arun would have Rs 160 less than twice the amount with Kiran. Find the amount of Kiran.
Click here to see answer by ikleyn(52786)

Question 1112852: Varun purchased some apples and mangoes. The cost of each apple is Rs 5 and mango is Rs 8. If he spends a total amount of Rs 55, then how many apples did he purchase?
Click here to see answer by Alan3354(69443)

Question 1112891: A theater group made appearances in two cities. The hotel charge before tax in the second city was
$
1500
higher than in the first. The tax in the first city was
6.5
%
, and the tax in the second city was
3.5
%
. The total hotel tax paid for the two cities was
$
427.50
. How much was the hotel charge in each city before tax?
Click here to see answer by ikleyn(52786)

Question 1112890: Two trains leave towns 692 mi apart at the same time and travel toward each other. One train travels
21/mi/h slower than the other. If they meet in 4 hours, what is the rate of each train?
Click here to see answer by josmiceli(19441)

Question 1112888: Jessica, Trey, and Charlie served a total of
126
orders Monday at the school cafeteria. Jessica served
6
fewer orders than Trey. Charlie served
4
times as many orders as Jessica. How many orders did they each serve?
Click here to see answer by josgarithmetic(39617)

Question 1112920: Find the value of two numbers if their sum is 70 and their difference is 36.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1112920: Find the value of two numbers if their sum is 70 and their difference is 36.
Click here to see answer by greenestamps(13200)

Question 1112892: A chemical company makes two brands of antifreeze. The first brand is
70
%
pure antifreeze, and the second brand is
95
%
pure antifreeze. In order to obtain
140
gallons of a mixture that contains
80
%
pure antifreeze, how many gallons of each brand of antifreeze must be used?
Click here to see answer by greenestamps(13200)

Question 1113021: 2x+4y-2(x-y)=3x+3y+6. what is the value of (x-y)
Click here to see answer by rothauserc(4718)

Question 1113374: The denominator of a fraction is 5 more than the numerator. but if we subtract 2 from the numerator and the denominator if the fraction, we get 1/6. Find the fraction ?
Click here to see answer by josgarithmetic(39617)

Question 685830: You invested a total of $11,200 in shares of the three stocks at the given prices, and expected to earn $304 in annual dividends. If you purchased a total of 250 shares, how many shares of each stock did you purchase?
Price / Dividend Yield
GE(general electric) $16 7%
WMT(Walmart) $56 2%
XOM(Exxon Mobile) $80 2%
Click here to see answer by amalm06(224)

Question 1113442: The second of two numbers is 5 more than twice the first. The sum of the numbers is 44. Find the numbers.
Click here to see answer by josgarithmetic(39617)

Question 1113495: 4x+3y=-8
-8x+y=-12
Click here to see answer by Alan3354(69443)

Question 1113495: 4x+3y=-8
-8x+y=-12
Click here to see answer by MathLover1(20850)

Question 1113495: 4x+3y=-8
-8x+y=-12
Click here to see answer by MathTherapy(10552)

Question 1113555: Which of the following is a linear constraint?
5y + 3x2 ≥ 33
17x + 3xz ≤ 4
7x ≤ 3xy + 14z - 12
3x ≥ 14y + 2z + 13
Click here to see answer by greenestamps(13200)

Question 1113555: Which of the following is a linear constraint?
5y + 3x2 ≥ 33
17x + 3xz ≤ 4
7x ≤ 3xy + 14z - 12
3x ≥ 14y + 2z + 13
Click here to see answer by solver91311(24713)

Question 1113803: Can this system by solved by substitution?
6x + 7y = -9
-4x - 5y = 5
Click here to see answer by math_helper(2461)

Question 1113803: Can this system by solved by substitution?
6x + 7y = -9
-4x - 5y = 5
Click here to see answer by amalm06(224)

Question 1113803: Can this system by solved by substitution?
6x + 7y = -9
-4x - 5y = 5
Click here to see answer by MathTherapy(10552)

Question 1114070: What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect?
Click here to see answer by josgarithmetic(39617)

Question 1114236: The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Josh purchased 9 tickets (some students and some adults) for $31. Write a systems of equations used to find a, the number of adult tickets, and s, the number of student tickets Josh purchased.
Find the cost of ticket for each student and adult as well.
I do not understand how I am supposed to solve this problem. Do I write the system of equation as
4a*9=31
3s*9=31
Thanks for your help!

Click here to see answer by rothauserc(4718)

Question 1114253: The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
The length of the rectangle is ______ inches, and its width is _____inches
Click here to see answer by josgarithmetic(39617)

Question 1114462: Two students disagree about how to solve a problem so they ask you for help. They have 220 ft of ribbon to section off a rectangular space in
the gymnasium for a dance floor, but cannot decide on the dimensions. The
dance floor has to be at least 70 ft long to accommodate the anticipated
number of dancers.
Write a system of inequalities. Then draw a graph that shows all of the
possible dimensions of the dance floor.
Write two possible solutions to the problem that would be appropriate
dimensions for a dance floor. Compare your solutions and determine
which would offer more dancing space. Explain your reasoning.
Click here to see answer by Theo(13342)

Question 1114637: five years ago , jerry was 2/3 as old as jeff. ten years from now , he will be 5/6 as old as jeff will be. how old is each now
Click here to see answer by josgarithmetic(39617)

Question 1114637: five years ago , jerry was 2/3 as old as jeff. ten years from now , he will be 5/6 as old as jeff will be. how old is each now
Click here to see answer by MathTherapy(10552)

Question 1115060: The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90.

Part A: Define variables that represent this situation.
Part B: Write a system of equations to represent this situation.
Part C: Solve the system of equations you wrote in Part B.
Part D: Interpret the solution in context of the problem.
Click here to see answer by josgarithmetic(39617)

Question 1115603: Market Fresh sells avocados for $1.54 each and tomatoes for $0.35 each. Altogether, Frank bought 11 tomatoes and avocados and spent $8.61.
Click here to see answer by Alan3354(69443)

Question 1115815:
Click here to see answer by josgarithmetic(39617)

Question 1116108: Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.
5x + 2y = 7
3x � y = 2
A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.
B1. Why is this multiplication allowed?
C1. What variable will be eliminated when the equations are combined after the multiplication?
D1. Next, add the equations together. Your answer should be a single equation with one variable.
E1. Why can you add the equations?
F1. Solve the equation for x.
G1. Substitute x back into one of the equations to solve for y.
H1. What is the solution to the system of equations?

Click here to see answer by Theo(13342)

Question 1116277: The sum of two numbers is 0
0
and their difference is −10
−10
. What are the two numbers? Let x=
x=
one number and y=
y=
the other number. The corresponding modeling system is {x+y=0x−y=−10
{x+y=0−1x−y=−10
. Solve the system graphically.

Click here to see answer by Alan3354(69443)

Question 1116288: how do I solve -x-5y+z=17
-x-y+z=1
2x+5y-3z=-10
Click here to see answer by josgarithmetic(39617)

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