Questions on Word Problems: Mixtures answered by real tutors!

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Question 5727: A contractor mixed two batches of concrete that were 9.3 and 11.3 percent cement to obtain 4500 lb of concrete that was 10.8 percent cement. How many pounds of each type of concrete was used?
Click here to see answer by Earlsdon(6294) About Me 

Question 4407: How many Kilograms of water must be added to 20 kilograms of a 10% salt solution to produce a 5% solution ?
Please help me with not only showing how this is done, but explaining the steps. I am terrible in math!

Click here to see answer by guapa(62) About Me 

Question 4408: How many kilograms of milk testing 5% butterfat and how many kilograms of cream testing 25% butterfat should be mixed to give 100 kilograms testing 20% butterfat ? Not only show me how it's done , but tell me why the certain steps are taken . Thanks alot !!!
Click here to see answer by guapa(62) About Me 

Question 5757: On the opening night of the Broadway musical Miss Saigon, the Rhapsody Theater sold 800 total tickets. An advanced ticket costs $14.50 and a ticket purchased at the door costs $22.00. In all, $16,640 was taken in. How many tickets were sold at the door?
Click here to see answer by prince_abubu(198) About Me 

Question 5759: Seatlle Star blends whole bean coffee worth $0.93 per pound with half bean coffee worth $1.20 per pound to get 30 pounds of a coffee blend worth $1.02 per pound. How many pounds of each type of coffee does she use?
Click here to see answer by CharStar(110) About Me 

Question 5726: How many pounds of chocolates costing $4.60 per pound may be mixed with 6 lb of chocolates costing $5 per pound to produce a mixture that can be sold for $4.90 per pound?
Click here to see answer by CharStar(110) About Me 

Question 5903: is this correct? solve this quadratic inequality
25x^2+16<40x
x<5/4
Thanks Caroline

Click here to see answer by Abbey(339) About Me 
Question 5903: is this correct? solve this quadratic inequality
25x^2+16<40x
x<5/4
Thanks Caroline

Click here to see answer by FadelSalem(12) About Me 

Question 5912: HELP...i got 2 different answers from two tutors...solve this quadratic inequality.
25x^+16<40x...My answer was x<4/5
one tutor agreed and one said there was no solution as you can not take the sqrt of zero...anybody out there that can knows for sure??
Thanks Caroline

Click here to see answer by Abbey(339) About Me 

Question 5918: What is the slope of the points (4,2) (-5,2)
i got 0/-9.. do i leave it that way or is the slope 0??
Thanks Caroline

Click here to see answer by longjonsilver(2297) About Me 

Question 5900: Can someone please explain how to solve quadratic inequalitities using sign charts. I has me a little confused and I have about 30 problems to do. Here is an example of one.
solve (x-5)(x+2)>0 using a sign chart.
Thanks Caroline

Click here to see answer by longjonsilver(2297) About Me 

Question 5940: find the slope and y intercept of the line and graph
y = -1
Thanks

Click here to see answer by jainenderkapoor(61) About Me 

Question 5941: find the slope and y intercept of the line and graph
x + y = 0
Thanks

Click here to see answer by jainenderkapoor(61) About Me 

Question 5951: How many cu m of butterfat must be removed from 500 cu m of milk containing 10% butterfat to reduce its content to 4% butterfat?
Click here to see answer by jainenderkapoor(61) About Me 

Question 5939: Find the slope and Y intercept of each line and graph the line.
y=-3x+4
Thanks

Click here to see answer by ichudov(507) About Me 

Question 5997: Help!!! find the equation of a line for the following
slope = undefined passing through (3,-8)
Thanks Caroline

Click here to see answer by prince_abubu(198) About Me 

Question 5998: find teh slope and y-intercept and graph the line if x=2
Thanks Caroline

Click here to see answer by prince_abubu(198) About Me 

Question 5964: A farmer intends to sell a fifty gallon barrel of apple cider. He wants to dilute it so that it is one third water before he sells it. How many gallons of diluted cider will he be able to get from the fifty gallon barrel?
( I keep getting 66.7 barrel: 1/3 of 50 barrel is 16.7, plus 50 is 66.7, but the answer is 75 barrels, would you explain the answer. Thanks)

Click here to see answer by prince_abubu(198) About Me 

Question 6007: find the slope of a line that is parallel to and slope of a line that is perpendicular to : y=8
Thanks a Ton!!

Click here to see answer by rapaljer(4671) About Me 

Question 6004: find the slope of a line that is parallel to and slope that is perpendicular to the following line: y=-3x
Thanks Caroline

Click here to see answer by rapaljer(4671) About Me 

Question 6043: Find the slope of a line perpendicular to the line y=-3 and passing through (3,4) express your answer in slope intercept form.
Thanks Caroline

Click here to see answer by Abbey(339) About Me 

Question 6005: find the slope of a line that is parallel to and slope of a line that is perpendicular to the following line: 3x+y=4
Thanks Caroline

Click here to see answer by Abbey(339) About Me 

Question 6069: find f(-x) for sqrt x^2-x
Click here to see answer by Abbey(339) About Me 

Question 6072: is this correct?
f(x+1) for sqrt x^2+x
=sqrt (x+1)^2+X+1
=sqrt x^2+2x+1+x+1
=sqrt x^2+3x+2
=2sqrt3x+1
thanks!!

Click here to see answer by Abbey(339) About Me 

Question 6105: write each expression as a sum or difference of logarithms. express powers as factors.
ln(x^4sqrt(x^2+1))

Click here to see answer by Abbey(339) About Me 

Question 6107: express as a sum or difference of logarithms. express powers as factors
log5(cuberootx^2+1/x^2-1)

Click here to see answer by Abbey(339) About Me 

Question 6142: Abby can you help me with these 3 problems?
express as a single logarithm
1. log3u^2 - log3v
2. log2(1/x)+log2(1/x^2)
3. log (x^2+2x-3/x^2-4)-log(x^2+7x+6/x+2)

Click here to see answer by Abbey(339) About Me 

Question 6140: Abby let me try again..
log5 {cuberoot x^2+1} all under the radical divided by (x^2-1)
Thank you. Caroline

Click here to see answer by Abbey(339) About Me 

Question 6143: Abby these are the last 2 i'm stuck on. Can you help?
Express the sum or difference of the log. express powers as factors
1. log5(cuberootx^2+1)All under the radical /(x^2-1)^2
2. log x^3sqrt(x+1)/(x-2)^2
Thank you so much! You are a great help!

Click here to see answer by Abbey(339) About Me 

Question 6186: without using a calculator find the value of the following
1. logbase8 8 = is it 1?
2. logbase3(1/9) = -2??
3. logbase1/3 9= 27???
4. logbase5 cuberoot25 = I have no idea
5. logbasesqrt3 9 = ??
6. lne^3= ??
Can someone help me with these i thought i understood but i'm really stuck.
thank you so much.

Click here to see answer by Abbey(339) About Me 

Question 6137: express as a single logarithm
log(x^2+2x-3/x^2-4)-log(x^2+7x+6/x+2)
Thank you so much for all your help.

Click here to see answer by arunpaul(104) About Me 

Question 6135: write as a single logarithm
HELP.. I just dont understand this.
log3u^2 - log3v
Thanks

Click here to see answer by arunpaul(104) About Me 

Question 6265: I have know idea where to start, and would greatly appreciate your help.
A chemist has two solutions of sulfuric acid - a 20% solution and an 80% solution. How much of each should be used to obtain 100 liters of a 62% solution?


Click here to see answer by AnlytcPhil(1806) About Me 

Question 6293: In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type?
Click here to see answer by Earlsdon(6294) About Me 

Question 6347: One serving of green beans contains 1 gram of protein and 4 grams of carbohydrates. One serving of chicken soup contains 3 grams of protein and 9 grams of carbohydrates. The Westdale Diet recommends a lunch of 13 grams of protein and 43 grams of carbohydrates. How many servings of each are necessary to obtain the recommended amounts?
Click here to see answer by prince_abubu(198) About Me 

Question 7022: Help... If it take 10 minutes to cut a log into 3 pieces how long does it take to cut it into 4 pieces?
Thanks

Click here to see answer by bonster(299) About Me 

Question 6973: Can you tell me if these are correct. Find the greatest common divisor and least commmon multiple for the following numbers.
a. 45,36,24 GCD = 3 LCM= 12,960
b. 42,96,104,18 GCD = 2 LCM = 3,919,104
Thanks a ton.. They just dont seem right.

Click here to see answer by bonster(299) About Me 

Question 7036: Can someone help me with these I just dont understand.
without tables perform the following operations and reduce answer to a whole number less than the modulus.
1. 3+2 (mod5)
2. 15-2(mod5)
3. (3+2)+5(mod6)
4. (12)(3) (mod5)
5. 2(4+11)(mod7)
6. 4cubed(mod12)
7. (624)(589)(mod9)
Thank you all so much!!

Click here to see answer by khwang(438) About Me 

Question 7101: Can anyone please help me?? Use definitions or identities to find the remaining five trigonometric functions of the acute angle.
cos=sqrt2/2
Thank you!!!

Click here to see answer by ichudov(507) About Me 

Question 7106: A company is going to mix two kinds of coffee. The first kind costs $7 per pound. The second kind costs $4 per pound. It wants 90 pounds worth $6.00 per pound. How much of the first kind should it use?
Could anyone please help me with this???Thank you so much!

Click here to see answer by prince_abubu(198) About Me 

Question 7132: A container is filled with 56 litres of pine juice. 8 litres of pine juice are extracted and the container is refilled with mango juice. The content of the container is thoroughly mixed and 8 litres are then extracted and the container is again refilled with mango juice. What is the ratio of mango juice to pine juice in the final mixture?
Click here to see answer by prince_abubu(198) About Me 

Question 7407: explain what is wrong with the reasoning in the statement: since 20 is the opposite of -20, then 20 degrees ferhinent must be very hot, because -20 degrees celiuis is very cold.
Click here to see answer by prince_abubu(198) About Me 

Question 7769: In order to create 3oo milliliters of a solution that is 60% alcohol, a solution that is 50% ALCOHOL is mixed with a solution that is 80% alcohol. Ho much of each solution is required?
__________milliliters of the 50% solution and
__________milliliters of the 80% solution.

Click here to see answer by prince_abubu(198) About Me 

Question 8104: Nine Less than the product of ten and a number d is eleven
Click here to see answer by CharStar(110) About Me 

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