Questions on Algebra: Equations answered by real tutors!

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Question 885835: If garden soil cost r centavos per kilogram, how many kilograms may be brought for $500
a) 50/r
b) 50000/r
c) r/500
d) 500r
e) 500/r
Click here to see answer by MathTherapy(10551)

Question 885858: solve for x:
x2+2x-2=0
Click here to see answer by basketball1127(19)

Question 885836: If x = 2y and 8y = z, what is x in terms of z
Click here to see answer by rothauserc(4718)

Question 885855: Find all real numbers x such that 9x^2-23x+2 is a product of two consecutive even numbers.
Click here to see answer by richwmiller(17219)

Question 885756: Determine analytically the value of 't' between 0 and π when

Thanks for your help :)
Click here to see answer by Edwin McCravy(20054)

Question 885897: Use an algebraic approach to solve the problem. (Objective 2)
Aura took three biology exams and has an average score of 85. Her second exam score was 5 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
(lowest score)

(highest score)

Click here to see answer by josgarithmetic(39616)

Question 885962: 1. x^2+8x-6=0
2. x^2-7x-8=0
3. x^2+6x-16=0
Click here to see answer by josgarithmetic(39616)

Question 886021: 5(1/2x - 1) = 1/4 (6x + 8)
Click here to see answer by rfer(16322)

Question 886140: please help me with this question!
If x=2y and y=4z what is 3x+2y+8z in terms of x?

Click here to see answer by nerdybill(7384)

Question 886195: Hello, I have come across an equation in my algebra that I cannot get the correct answer to. Here is the equation:
6(x-2)-3(x+1)=4(3+2)
The book's answer is that x=35/3 (The answer I need to get is that x equals thirty-five thirds)
The answer that I constantly come up with is that x=29/3
I recently came across this website and tried the Universal Simplifier and equation solver. After doing so I found out that there was no typo in my algebra book, and that the correct answer actually was that x = 35/3. I started looking at the steps to see what I did wrong, but I do not understand a particular one. Here is the step that confuses me, quoted from how this website puts it.
Look at: 6*x-3*(x+1)-32=0
Expanded term -3 by using associative property on {x+1}
It becomes: 6*x-3*x-3*1-32=0
Their solution uses the associative property of multiplication, but not in a way I am familiar with. I consider the proper way to do this method is that a(b+c) = a(b)+a(c)
They assumed that the first number/variable (represented by a) was negative because there was a - symbol behind it. Thus, it worked out to be:
-a(b+c)=-a(b)+-a(c)
This means that both b and c would be negative variables/numbers. This DOES make sense, until you realize that this is also a subtraction problem in the entire equation. If there were a - symbol there, that would mean ONE of two things: the number in the problem is negative OR you do the multiplication then subtract the result. The method given seems to do BOTH. The result of the first number being -3 makes the result of this multiplication problem: -3x-3
Now, let's put that back into the equation 6*x-3*(x+1)-32=0 :
6*x(-3x-3)-32=0
This now indicates that you are to perform 6x times the variable (-3x-3), correct?
I guess what I'm wanting to know is what to do in this step and exactly why it is done this way. Thank you very much for your time,
Abe

Click here to see answer by rothauserc(4718)

Question 886312: 4x x 6x=
Click here to see answer by rfer(16322)

Question 886334: if r=7h(k+Q) solve for k
Click here to see answer by josgarithmetic(39616)

Question 886333: f(x)=2x-3/x+1 find f(3)
Click here to see answer by fcabanski(1391)

Question 886333: f(x)=2x-3/x+1 find f(3)
Click here to see answer by jim_thompson5910(35256)

Question 886359: equations in quadratic form;
solve the equation for x;
x^6-28x^3+27=0
Click here to see answer by rothauserc(4718)

Question 886438: What's the answer to math problem 5+5�5+5=
Click here to see answer by rothauserc(4718)

Question 886430: If r=7h(k+Q) solve for k
Click here to see answer by josgarithmetic(39616)

Question 886475: What type of equation is this:
4 + 10/z = 1/3
Click here to see answer by Edwin McCravy(20054)

Question 886677: Write the following using symbols, with x as a variable.
The quotient of a number and 4 is 4.
This statement can be written as _ = _.
Click here to see answer by stanbon(75887)

Question 886679: Hi I need help on my math package any tutors willing to help me would be greatly appreciate it. I just moved and need help to learn the topics. Julia can clean an attic in 10.2 hours. Rob can clean the same attic in 14.6 hours. How long would it take for the two of them if the worked together? Do we add the two numbers and divide by 2 to get 12.4 is that right?
Click here to see answer by stanbon(75887)

Question 886725: I need help solving. Thank you
x: 4x + 3a = 5(2b - x)
Click here to see answer by stanbon(75887)

Question 886727: Solve the system. Thank you for your help.
6x+5y=2
10x-7y=11
Click here to see answer by stanbon(75887)

Question 886824: please solve and show me procedure, solve for x: 5^-1 =x^-6
Click here to see answer by Edwin McCravy(20054)

Question 886824: please solve and show me procedure, solve for x: 5^-1 =x^-6
Click here to see answer by MathTherapy(10551)

Question 886822: i want to know the answer and procedure of this (5^-1)=(x^-6) please solve for x
Click here to see answer by GulleyGirlz(1)

Question 886795: The percentage profit earned by selling an article for Tk. 1920 is equal to the percentage loss incurred by selling the same article Tk. 1280. At what price should the article be sold to make profit 25%?

Click here to see answer by MathTherapy(10551)

Question 886965: A total of 50 juniors and seniors were given a mathematics test. The 35 juniors
attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?
Click here to see answer by stanbon(75887)

Question 886946: -4(1+5)^2/(6�2)
Click here to see answer by josgarithmetic(39616)

Question 886927: x+a-k=0. Solve for 'x'. Thanks!
Click here to see answer by Alan3354(69443)

Question 886913: Determine the equation of g(x) that results from translating the function f(x) = (x + 8)2 to the right 14 units
Click here to see answer by rothauserc(4718)

Question 886982: solve 1/3x=1/4x
Click here to see answer by Alan3354(69443)

Question 886897: Please help me solve this! I have been stuck on this for the past few weeks. The problem is: Insert grouping symbols to make a true equation. 3^2 - 2^2 -4*3+3=25. Thank you!
Click here to see answer by Edwin McCravy(20054)

Question 887059: There are 2 cars moving in opposite directions. the distance between them is 300cm. They move forward for 100 cm with a speed of 50 cm/s, and comes back 50 cm at 25 cm/s. After how many seconds will the cars collide ?
Click here to see answer by Theo(13342)

Question 887028: What is the solution of n+6=10
Click here to see answer by KMST(5328)

Question 887084: how to get a positive seven answer using the integer negative 4 four times in an equation without using any other number?
Click here to see answer by Edwin McCravy(20054)

Question 887127: Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m
I don't understand how to get my chose's its many options i can pick but didn't know how to solve for them .
Click here to see answer by josgarithmetic(39616)

Question 887314: Solve the equation by making an appropriate substitution. (Don't forget imaginary solutions)
x(exponent 4) + 2x(exponent 2) -8 =0
Click here to see answer by josgarithmetic(39616)

Question 887314: Solve the equation by making an appropriate substitution. (Don't forget imaginary solutions)
x(exponent 4) + 2x(exponent 2) -8 =0
Click here to see answer by lwsshak3(11628)

Question 887304: Karlie and Tara go on a One Direction spending spree. Karlie buys 2 used microphones and 6 of Niall's shoelaces spending a total of $808. Tara buys 3 used microphones and 14 of Niall's shoelaces spending a total of #1302. How much was a used microphone? How much was one of Niall's shoelaces?
Click here to see answer by algebrapro18(249)

Question 887324: The length of a rectangle is 8 more than 3 times the width. If the perimeter is 44cm. Find the dimensions of the rectangle.
Click here to see answer by Alan3354(69443)

Question 887307: consider two numbers the second number is five less than triple the first number. The sum of the two numbers is fifteen. find each number
Click here to see answer by Alan3354(69443)

Question 887285: xlnx-102=0 find value of x.
Click here to see answer by Alan3354(69443)

Question 887433: Solve 4x^2-20x-3=0 by completing the square.
Please show me your work so that I can see how the problem was solved.
thank you
Click here to see answer by Alan3354(69443)

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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, 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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, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580