Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1124231: Set up a system of linear equations and solve for the indicated quantities. Three times the smaller of two numbers plus 2 times the larger number is 27. Four times the smaller number minus 2 times the larger number is -6. Find the numbers
Click here to see answer by ikleyn(52781)

Question 1124264: For thousands of years, gold has been considered one of the Earth's most precious metals. One hundred percent pure gold is 24-karat gold, which is too soft to be made into jewelry. Most gold jewelry is 14-karat gold, approximately 58% gold. If 18-karat gold is 75% gold and 12-karat gold is 50% gold, how much of each should be used to make a 14-karat gold bracelet weighing 50 grams?
How many grams of 18-karat gold needs to be used to make the bracelet?
? grams
How many grams of 12-karat gold needs to be used to make the bracelet?
? grams
Click here to see answer by josmiceli(19441)

Question 1124263: Things did not go quite as planned. You invested $20,000, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $2026, how much was invested at each rate?

Click here to see answer by Theo(13342)

Question 1124281: Wayne invested $9000, part at 9%/annum and the remainder at 8%/annum. After one year the total
interest from these investments was $750. How much was invested at 9%?
Click here to see answer by ikleyn(52781)

Question 1124343: Which of the following is the maximum value of the equation y=-x^2-x+6
Click here to see answer by Alan3354(69443)

Question 1124429: In a three digit number, the sum of the hundreds digit and ones digit is equal to the tens digit. the original number is 22 times the sum of its three digits. if 297 is added to the original number, the order of the digits is reversed. find the original number
Click here to see answer by josmiceli(19441)

Question 1124451: hello,
i have a problem. need the prediction value of y for x = 150. i have a = 2.466 & b = 52.269. can you help with this problem? thx

Click here to see answer by ikleyn(52781)

Question 1124499: Find the value of p so that the line through (p,4) and (3, -1) has a slope of -5/8.
Click here to see answer by rothauserc(4718)

Question 1124499: Find the value of p so that the line through (p,4) and (3, -1) has a slope of -5/8.
Click here to see answer by MathLover1(20849)

Question 1124608: For f(x) = 5x^2 + 3x - 3, find each of the following and simplify.
b. f(a+h) - f(a)= ? (Simplify your answer.)
Click here to see answer by solver91311(24713)

Question 1124608: For f(x) = 5x^2 + 3x - 3, find each of the following and simplify.
b. f(a+h) - f(a)= ? (Simplify your answer.)
Click here to see answer by MathLover1(20849)

Question 1124588: Meilin and Brianna are avid mountain bikers. On a spring day they cycle down straight roads with steep grades. The graphs give a representation of the elevation of the road on which each of them cycles. Find the grade of each road.
From the graph=
Meilin: elevation (ft) 1200 and horizontal distance (ft) 15000
Brianna: elevation (ft) 500 and horizontal distance (ft) 10000
-I used the slope formula and I don't know if that's ok
Click here to see answer by Theo(13342)

Question 1124733: if 1/a = 1/b - 1/c ,what is the value of c
Click here to see answer by jim_thompson5910(35256)

Question 1124735: a man invests $32,000 at 10% per anum and $36,000 at 8% per anum.his return on the complete investment is
Click here to see answer by Alex.33(110)

Question 1124732: subtract 2x�-5x+4 from 5x�-6
Click here to see answer by Alex.33(110)

Question 1124734: a business machine will have to be replaced in 5 years at an estimated cost of $10,000.how much should be invested now at 8% compounded quaterly to meet his obligation
Click here to see answer by Theo(13342)

Question 1124838: If f(x)=4x+7 and g(x)=2x, What is a rule for g(f(x))?
The question also asks me to make a rule for f(g(x)), but you don't have to
answer that.
I don't know if you use the distributive property on the function on the inside or if I'm completely wrong and you do something else.
Thank you in advance.
Click here to see answer by josgarithmetic(39617)

Question 1124843: Can you find an equation of a linear function given h(1)=6 and h(4)=-3?
I tried making a table showing what x value goes to what y value (1 to 6, 2 to 3, 3 to 0, 4 to -3, and 5 to -6. I have no idea what to do next though.
Thanks in advance.
Click here to see answer by josgarithmetic(39617)

Question 1124859: integrate 2x(2x�-3x+1) with respect to x
Click here to see answer by ikleyn(52781)

Question 1124856: in how many ways can 3 boys and 5 girls be arranged in a row so that all the 3 boys are together
Click here to see answer by ikleyn(52781)

Question 1124918: Graph 1/3x−1/6y=−2/3 using intercepts
Click here to see answer by josgarithmetic(39617)

Question 1124918: Graph 1/3x−1/6y=−2/3 using intercepts
Click here to see answer by MathTherapy(10552)

Question 1124919: Find an equation of the line that passes through the point
(−2, 2)
and is parallel to the line
9x − 8y − 4 = 0.
(Let x be the independent variable and y be the dependent variable.)
Click here to see answer by josgarithmetic(39617)

Question 1124855: the fourth term in the binomial expansion of (2a�-b)6 is
Click here to see answer by MathLover1(20849)

Question 1124926: y=1/3x−1 through (6,3)

Click here to see answer by josgarithmetic(39617)

Question 1124926: y=1/3x−1 through (6,3)

Click here to see answer by greenestamps(13200)

Question 1124926: y=1/3x−1 through (6,3)

Click here to see answer by ikleyn(52781)

Question 1124922: Write the equation of the line perpendicular to the given line and passing through the given point: y=3x−2 through (3,4)
Click here to see answer by josgarithmetic(39617)

Question 1124922: Write the equation of the line perpendicular to the given line and passing through the given point: y=3x−2 through (3,4)
Click here to see answer by math_helper(2461)

Question 1124945: How do you tell the difference between continuous and discrete functions?
I can't find it in my notes.
Thank you in advance. --
Click here to see answer by Theo(13342)

Question 1124948: Can you help me tell if this chart is discrete or continuous? (X=Y) 33=2 66=3 99=4
I can't find it in my notes.
Thanks in advance.
Click here to see answer by Theo(13342)

Question 1124952: My homework asked me to "determine whether the domain is discrete or continous. Explain." It then gave me a chart- (x=y) 33=2 66=3 99=4. -please help me solve this.
Thank you in advance.
Click here to see answer by ikleyn(52781)

Question 1124971: find the smallest value of k such that 2x�*3�*5*k is a perfect square
Click here to see answer by greenestamps(13200)

Question 1125019: how can i resolve this problem?
The cost in dollars to ship a package �Next Day� of one pound using Federal Express can be calculated using the linear equation:
y + 2.085x + 15.08
Click here to see answer by ikleyn(52781)

Question 1125051: Find an equation for the line parallel to
y
=
−
5
x
+
7
y=-5x+7
and passing through the point
(
10
,
4
)
(10,4)
.
Write your answer in slope-intercept form
Click here to see answer by ikleyn(52781)

Question 1125053: y=-10x+7
(5,-5)
.
Write your answer in slope-intercept form
Click here to see answer by ikleyn(52781)

Question 1125096: a motorist drives 80km per hour in 5 hours and another 60 km per hour in 4 hours. find the average speed for the whole journey
Click here to see answer by josgarithmetic(39617)

Question 1125099: a man spent 24% of his salary on transportation, 25% of the rest on rent and the balance left is $1.170.how much was spent on transportation
Click here to see answer by fcabanski(1391)

Question 1125100: a university estimated the number of candidates for admission in a new session. when the season began, there were 2800 candidates and the University realised an overstatement of two and half percent. how many candidates were expected
Click here to see answer by ikleyn(52781)

Question 1125106: what is the compound interest on 2650$ in 5 years at 7 and half percent per anum
Click here to see answer by Theo(13342)

Question 1125101: a man bought 8 dozen articles at $1.40$ each, he sold 40 of them at a profit of 20%,35 at a loss of 4% and the remainder at a profit of 15%
1)the overall selling price to the nearest dollar is?
2)the overall percentage gain or loss to 2 decimal places
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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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