Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 1169741: A high school graduating class has 400 members. The principal must select 3
of these students to attend the annual state student conference. How many ways
can this be done?
Click here to see answer by ikleyn(52777)

Question 1169740: A high school graduating class has 400 members. The principal must select
student chairs of (1) graduation ceremony committee, (2) senior gift committee,
and (3) senior outing committee. If no student can chair more than one
committee, how many ways can the principal select these chairs?

Click here to see answer by ikleyn(52777)

Question 1169761: Some children share an amount of money equally and each of them gets $20. If the number of children sharing the same amount of money is reduced by 5, each child will get $40. Find the amount of money.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1169479: Today's maximum wind gust was 8 mph less than 4 times the average wind speed. If today's maximum wind gust was twice yesterday's maximum of 32 mph, what was today's average wind speed?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1169788: The length of a rectangle is 3 cm longer than twice its breadth. If the perimeter of the rectangle is 54 cm, find the length of the rectangle.
Click here to see answer by greenestamps(13198)

Question 1169875: The moon of a planet is observed to have a nearly circular orbit, r=4E8m, and an orbital period of 21.5 days.. what is the mass of the planet
answer(1.09E25kg)
could u show steps
Click here to see answer by Solver92311(821)

Question 1169874: 4[2/x-5x^4/(x^5+3)]
x^5+3 is the bottom term of the denominator the whole thing no splitting
could u show steps of factoring and correct answer is 12(-x^5+2)/x(x^5+3)
Click here to see answer by Edwin McCravy(20054)

Question 1169873: A 0.7 kg ball attached to a string is rotating in a horizontal circle of radius 0.8m. The ball is attached to a line that dips 27 degrees below the horizontal. What is the tension in the string?
Answer: 15.11 N
and use Pythagorean theorem to solve, I'm stuck so could you help.. thanks!

Click here to see answer by Solver92311(821)

Question 1169969: Solve for y.
y/3 + 2.4 = 5.1

Click here to see answer by josgarithmetic(39617)

Question 1169983: A taxi from Fort Benning to Peachtree Mall costs $5.00 plus $2.65 per mile. If a soldier paid $34.15, how many miles did the taxi drive?

Click here to see answer by ikleyn(52777)

Question 1170085: Tom and Dick, working together, can perform a task in 2 hours and 24 minutes. Dick and
Harry, working together can perform the same task in 3 hours and 36 minutes. If Dick works
alone, he can complete the task in 6 hours. How long will it take Tom and Harry perform the
task working together?
Click here to see answer by ikleyn(52777)

Question 1170090: The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three
times Mary’s age was 3 years more than twice Jane’s age. Determine their current ages
Click here to see answer by ankor@dixie-net.com(22740)

Question 1170133: Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
2(x - 3) - 6 = 9x - 7(x - 6)
Group of answer choices

Click here to see answer by josgarithmetic(39617)

Question 1170132: Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
3(3x + 6) = 9x + 18

Click here to see answer by josgarithmetic(39617)

Question 1170139: Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
16x + 15(x + 1) = 31(x + 1) - 16

Click here to see answer by MathLover1(20849)

Question 1170140: Suppose a cost-benefit model is given by where y is the cost for removing x percent of a given pollutant. What percent of pollutants can be removed for $30,000? Round your answer to the nearest tenth of a percent.

Click here to see answer by VFBundy(438)

Question 1170176: Write a formula for y in terms of x if y is proportional to the 4th power of x, and y=11.745 when x=3
Click here to see answer by math_helper(2461)

Question 1170182: Simplify sec(θ)cot(θ) − csc(θ).
Click here to see answer by math_helper(2461)

Question 1170190: Find the inverse of
y=(1+7x^3)/2
Click here to see answer by htmentor(1343)

Question 1170184: Find the arc length corresponding to the following circle. This is to say, find the arc length of a circle, radius 4”, corresponding to 132 degrees.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1170206: Raul deposited $3000 into a bank account that earned simple interest each year. After 3.5 years, he had earned $262.50 in interest.
No money was deposited into or withdrawn from the account.
What was the annual interest rate?
Enter your answer in the box.
Click here to see answer by Boreal(15235)

Question 1170214: What is an equation of the line that passes through the point (2,2) and is parallel to the line x-2y=4?
Click here to see answer by Boreal(15235)

Question 1170186: Given f(x) = tan(x) + 1 and g(x) = x^3
find f(g(g(x)))
Click here to see answer by Boreal(15235)

Question 1170186: Given f(x) = tan(x) + 1 and g(x) = x^3
find f(g(g(x)))
Click here to see answer by ikleyn(52777)

Question 1170187: h(x) = e^−√x
Given h(x) = f(g(x)), decompose h(x) into its parts.
f(x) =
g(x) =

Click here to see answer by MathLover1(20849)

Question 1170187: h(x) = e^−√x
Given h(x) = f(g(x)), decompose h(x) into its parts.
f(x) =
g(x) =

Click here to see answer by greenestamps(13198)

Question 1170254: solve for u, z, y, t:
z/m-z/n=1
Click here to see answer by ikleyn(52777)

Question 1170289: The highest temperature of this month is (12x-7)°c while the lowest temperature of this month is 2(3x-6)°c. If the difference between the highest and lowest temperature of this month is 23°c, find the highest temperature of the month.

Click here to see answer by ikleyn(52777)

Question 1170290: The selling prices of a postcard and a stamp are $6 and $1.4 respectively. Mandy paid $95 for 2x postcards and 5x stamps. Find the total number of stamps.
Click here to see answer by greenestamps(13198)

Question 1170298: Pho lin has investments in ebay and amazon stock. On match 9,2007, ebay stock closed at $30.82 per share and Amazon stock closed at $38.84 per share. Phos stock portfolio was worth $2866.60 at the end of the day. If pho owns 20 more shares of Amazon stock than eBay stock, how many of each type of stock does she own?
Click here to see answer by ikleyn(52777)

Question 1170359: Write the function whose graph is the graph of y=x^2, but is shifted to the right 5 units.
Click here to see answer by MathLover1(20849)

Question 1170351: The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three
times Mary’s age was 3 years more than twice Jane’s age. Determine their current ages
Click here to see answer by josgarithmetic(39617)

Question 1170387: Find all the natural numbers, which when divided by 7, leave the same number for the quotient and the remainder.
Click here to see answer by ikleyn(52777)

Question 1170387: Find all the natural numbers, which when divided by 7, leave the same number for the quotient and the remainder.
Click here to see answer by Solver92311(821)

Question 1170425: 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝟐

(a) The sales of a book publication are expected to grow according to the function S = 300000(1 − e−0.06t), where t is the time, given in days.
(i) Show using differentiation that the sales never attains an exact maximum value.
(ii) What is the limiting value approached by the sales function?

(b) A poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency (those who support him at the time he

made the statement) that still supports him is given by S(t) =
t The election is 10 days after he made the statement.
(i) If the derivative S’(t) may be thought of as an approval rate, derivate the a function for his approval rate.
(ii) When was his support at its lowest level?
(iii) What was his minimum support level?
(iv) Was the approval rate positive or negative on the date of the election?

(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curve q dq dp
for the bast will be p = 250 − . If price elasticily is E(p) = ÷ .
4 q p
When |E(p)| < 1, demand is inelastic and when |E(p)| > 1, demand is elastic.

(i) Find the price elasticity of demand for Lara′s bats.
(ii) Is demand inelastic or elastic?

Click here to see answer by ikleyn(52777)

Question 1170443: When 8 is added to certain number and the sum is multipled by 3 the result is 57 find the number
Click here to see answer by ikleyn(52777)

Question 1170492: Consider the integers x and y . When y is divided by x the remainder is 29. When y is divided by x/2, the remainder is 13. Determine x
Click here to see answer by ikleyn(52777)

Question 1170617: 5.The terms form a sequence. Determine the 20th term of the sequence and also determine the sum of the 1st 20 terms.
Click here to see answer by ikleyn(52777)

Question 1170665: 1/2a-1/3b; -a+2/3b; 3/4a-b
Click here to see answer by ikleyn(52777)

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, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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