Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 475757: I need exact and approximate solutions to three decimal places.
(x-1)^2=25
x=__
Click here to see answer by Gogonati(855)

Question 475820: Hi I was wondering if somebody could help me find the equation of a line perpendicular to y=-5x+1 and passing through (-10,3).
Click here to see answer by stanbon(75887)

Question 475844: Please help me solve this equation:
sin2x+cos2x=1
Click here to see answer by Alan3354(69443)

Question 475551: Geometric Problems:
The perimeter of a rectangle is 120 feet. Use an equation to find the length and width of the rectangle if the length is twice the width.
Use P = 2W + 2L.

Click here to see answer by richard1234(7193)

Question 476126: Hey, I need help solving 3m^2 + 4m + 1 = 0 by factoring
Click here to see answer by MathLover1(20849)

Question 476117: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?

Click here to see answer by stanbon(75887)

Question 476115: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
Click here to see answer by ankor@dixie-net.com(22740)

Question 476114: what the answer to 4/3x - 7 = 11- 5/3x?
Click here to see answer by rfer(16322)

Question 476346: 9/6=x/8
6x=72
x=72/6
x=12
Click here to see answer by jorel1380(3719)

Question 476390: -6(x+7)+5=-8x-29
Click here to see answer by Tatiana_Stebko(1539)

Question 476405: Determine if (-2/3,1) is a solution to -9x - 2y = 8 Please show all work.
Click here to see answer by Tatiana_Stebko(1539)

Question 476444: Would someone please help me with this. Thank you.
Write a point-slope equation for the line with the given slope that contains the given point.
m=7/2; (-3,4)

Click here to see answer by jim_thompson5910(35256)

Question 476441: Could someone please help. Thanks.
Find the slope and the y-intercept of each line whose equation is given.
y=-9/5x-4
Click here to see answer by Tatiana_Stebko(1539)

Question 476568: Veeru says to Jay, "Can you figure out how many Eggs I have in my bucket?" He gives 3 clues to Jay: If the number of Eggs I have
1. is a multiple of 5, it is a number between 1 and 19
2. is not a multiple of 8, it is a number between 20 and 29
3. is not a multiple of 10, it is a number between 30 and 39
How many Eggs does Veeru have in his bucket?
Click here to see answer by ccs2011(207)

Question 476641: How would I simplify 12-3x^2/x^2-x-2?
Click here to see answer by Alan3354(69443)

Question 476644: How would you factor b^n from a^n b^n - ab^negative n?
Click here to see answer by MathLover1(20849)

Question 476664: I am 21 years older than you, in 12 years time i will be twice your age. how old are you now ?
Click here to see answer by jorel1380(3719)

Question 476643: How would I simplify 6x^2+13x+6/6-5x-6x^2?
Click here to see answer by MathLover1(20849)

Question 476760: Can you please tell me if the following is correct: 3/12 + 3/4x = 3x/12x + 9/12x =
(3x + 9)/12x I'm not sure if I'm supposed to reduce 3x/12x to 1x/4x
Thanks
l68m@live.com
Click here to see answer by Theo(13342)

Question 476773: solve the equation for y. then find the value of y for the given value of x:
6xy=12x; x=1
4x+3y=0; x=-3
Click here to see answer by MathLover1(20849)

Question 476773: solve the equation for y. then find the value of y for the given value of x:
6xy=12x; x=1
4x+3y=0; x=-3
Click here to see answer by checkley79(3341)

Question 476820: Here is an example of a problem that I am having a hard time figuring out. Given f(x) = 2-2x and g(x) = -6x+2, find f+g
Click here to see answer by Alan3354(69443)

Question 476830: A regular slice of pizza is $.75 and a hamburger slice is $1.35. We sold 40 more regular slices than hamburger slices. Our total was $292.50. How many hamburger slices did we sell.
Click here to see answer by stanbon(75887)

Question 476902: Divide : (x3 - 6x2 + 12x - 8) � (x - 2)
Click here to see answer by stanbon(75887)

Question 476922: x^2+2x−15=0
Click here to see answer by stanbon(75887)

Question 476919: −6x+2=−3x^2
Click here to see answer by jorel1380(3719)

Question 476921: x^2+3x^2/x=10+60
Click here to see answer by jorel1380(3719)

Question 476975: a store mixes kenyan coffee worth $10 per kilogram and turkish coffee worth $13 per kg. the mixture is to sell for $12 per kg. how much to make a 600kg mixture?
Click here to see answer by mananth(16946)

Question 476962: A number is increased by 50 percent, and then the resulting number is decreased by 40 percent. What was the original number if the final number is eight less than the original?
Click here to see answer by josmiceli(19441)

Question 477028: Please help. Thanks.
Simplify. Please show all of your work.
3c^2+4c+4-(c-6c^2-8)
----
3c^2+4c+4-c+6c^2+8
----
9c^2+3c+12
==================
cheers,
Stan H.

Click here to see answer by stanbon(75887)

Question 477202: [ [2+m] / [2-m] ] = 3/4
i dont know if you set it up where it looks like 2+m-3/2-m-4=0 or work through to get a common denom and leave the variable on one side help please??????????????? will give great review thanks ! :(
Click here to see answer by jim_thompson5910(35256)

Question 477217: What is 35X + 12= 40X + 42
Click here to see answer by jim_thompson5910(35256)

Question 477112: help me solve: (5x+2)(2x^-15x+18)=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 477294: add
9/10y + 15/4y
Click here to see answer by Maths68(1474)

Question 477575: im having trouble with algebra word problems im stuck... A total of $800 was split into wo investments. Part paid 9%, and the remainder paid 6%. If the annual interest from the two investments was $67.50, how much was invested at each rate?
Click here to see answer by jorel1380(3719)

Question 477645: Find the slope and y-intercept of the line in the given equation y = 2/3x - 8
Click here to see answer by richard1234(7193)

Question 477106: I'm an independent video game programmer 10 years out of high school, and while working on an AI I've come across an equation I need to solve that I can't remember how to work with. I used a website to get an answer, but I'd like to see the steps necessary to come across a solution.
The game I'm programming is a racing game. Assuming that a vehicle turns more slowly at higher speeds, I want to find the speed at which a vehicle could turn a given number of degrees in a given amount of time. Here's the equation I need to solve for speed or for the throttle, since either of those values will allow the AI to determine how much it needs to slow down to make a turn.
turnTime * turnRate = angle
and here is an explanation of the variables, and possible substitutions.
turnTime = the amount of time available in which to turn. It varies with the vehicle's speed, and speed is what I'm solving for, so I can't say it's a known quantity.
turnTime = distance/speed
Distance is a known quantity, gotten from analyzing the upcoming sections of the race track.
turnRate = handling * (2 - throttle)
The handling represents how many degrees the vehicle can turn in one second. Handling is a static attribute for a vehicle. It may change from vehicle to vehicle, but the same vehicle always has the same handling. Therefore handling is a known quantity.
throttle = speed/maxSpeed
Throttle is always a value between 0 and 1, and expresses the vehicle's current speed as percentage of the vehicle's maximum speed. maxSpeed is a known quantity like handling.
angle = how far the vehicle needs to turn in the specified time. This is a known quantity determined from analyzing the upcoming sections of the race track. Like handling, it is in degrees.
Here's what I've done so far:
turnTime * turnRate = angle
distance/speed * handling * (2 - throttle) = angle
subsituted distance/speed for turnTime and handling * (2 - throttle) for turnRate
distance/speed * handling * (2 - speed/maxSpeed) = angle
substitued speed/maxSpeed for throttle
disance/speed * (2 - speed/maxSpeed) = angle/handling
multiply both sides by 1/handling
2 - speed/maxSpeed = angle/handling * speed/distance
multiply both sides by speed/distance
And this is where I'm stuck. I'm not sure how to solve for speed from here. The answer I got from QuickMath.com is:
speed = (2 * distance * handling * maxSpeed) / (angle * maxSpeed + distance * handling)
I'd like to know how it arrived at that solution.
It is possible for the angle of the turn to be too large for the vehicle to ever successfully make, I know, but in that case I believe I'd get a negative speed from this calculation. I can account for that pretty easily in my code.
Click here to see answer by bucky(2189)

Question 477791: Hello, i have been given a math AS head start booklet i must complete and there is one question i cannot seem to get the right answer to.
(y-1)/2 + (y+1)/3 = (2y+5)/3

i have tried rearranging this so that y is the subject, also multiplying so there is no denomiator, also making a common denominator 6, but icannot get the answer right (which is 2). Please could you help me? thank you so much.
Click here to see answer by mananth(16946)

Question 477815: Solve for x: 3x − 5 = 2x + 6
Click here to see answer by Alan3354(69443)

Question 477747: Hello, Could you please help me backtrack: 6-7x=27
Click here to see answer by Alan3354(69443)

Question 477993: Hello, Could you please help me solve: 4x+3-5x=x-7
Thank-you so much! I am revising for a test and preferably need it to be done step by step!
Click here to see answer by Theo(13342)

Question 477990: Please help me solve this equation: 15-3x=12-2x

Thank-you so much! I am revising for a test and preferably need it to be done step by step!
Click here to see answer by Scorinitron(19)

Question 477983: how do i translate the sum of s and d into an algebraic expression?
Click here to see answer by Theo(13342)

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, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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