New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'mananth'
mananth answered: 12270 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299, >>Nexttest/361234: Theatre sold children ticket for $6 and adult ticket for $10. A total ticket of 80 tickets were sold for a performance bringing total $720. How many type of ticket were sold?
Adult=
Children=
1 solutions
Answer 257642 by mananth(12270)   on 2010-10-25 10:45:07 (Show Source):
You can put this solution on YOUR website!Theatre sold children ticket for $6 and adult ticket for $10. A total ticket of 80 tickets were sold for a performance bringing total $720. How many type of ticket were sold?
...
children ticket $6 - x numbers
adult $10 --- 80-x numbers
..
total = $720
...
6x+10(80-x)=720
6x+800-10x=720
-4x=720-800
-4x=-80
x= 20 child tickets
60 adult tickets
...
m.ananth@hotmail.ca
|
Percentage-and-ratio-word-problems/361229: A class of 198 recruits consists of three racial and ethic groups. If 1/3 are black and 1/4 of the remainder Hispanic, how many of the recruits in the class are white?
1 solutions
Answer 257641 by mananth(12270) on 2010-10-25 10:40:50 (Show Source):
You can put this solution on YOUR website!A class of 198 recruits consists of three racial and ethic groups. If 1/3 are black and 1/4 of the remainder Hispanic, how many of the recruits in the class are white?
..
198 recruits
1/3 black
1/3 *198= 66 black
...
198-66=132 balance
...
1/4 of 132 = hispanic
1/4 * 132=33
..
132-33 = 99 whites
...
m.ananth@hotmail.ca
|
Word_Problems_With_Coins/361226: a coin collector has $2.25 in nickels and dimes. She has 3 more dimes than nickels how many nickels does she have?
1 solutions
Answer 257640 by mananth(12270) on 2010-10-25 10:35:42 (Show Source):
You can put this solution on YOUR website!a coin collector has $2.25 in nickels and dimes. She has 3 more dimes than nickels how many nickels does she have?
..
let nickels be x
dimes = x+3
..
5x+10(x+3)=225
5x+10x+30=225
15x+30=225
add -30
15x=225-30
15x=195
x=195/15
x=13 nickels
dimes = 16.
...
16*10+13*5=225
...
m.ananth@hotmail.ca
|
Average/361208: A can do a piece of work in 20 days which B can do it in 12 days. B worked at it for 9 days. A can finish remaining work in:
a)3
b)5
c)7
d)11
1 solutions
Answer 257633 by mananth(12270) on 2010-10-25 09:43:59 (Show Source):
You can put this solution on YOUR website!B does the job in 12 days
so he does 1/12 of the job in 1 day.
so he does 9/12 of the job in 9 days = 3/4 of the job.
balance job will be 1/4
...
A does the job in 20 days
so he does 1/20 of the job in 1 day.
1/4 of the job he will take
..
(1/4)/(1/20)
1/4 *20 =5 days
m.ananth@hotmail.ca
|
Travel_Word_Problems/361177: a train whose speed is 75 mph, takes three minutes to pass a car that is going 60 mph in the same direction. How long is the train?
1 solutions
Answer 257619 by mananth(12270) on 2010-10-25 06:53:43 (Show Source):
You can put this solution on YOUR website!a train whose speed is 75 mph, takes three minutes to pass a car that is going 60 mph in the same direction. How long is the train?
..
difference in speed = 75-60 mph=15mph
time = 3minutes = 3/60 hours = 1/20 hours
length of train = 1/20 * 15
=3/4 mile
3/4 *5280=3960 feet
...
m.ananth@hotmail.ca
|
Travel_Word_Problems/361151: An express train and a local train leave Xanadu at 3p.m. and head for Nirvana 50 miles away. The express travels twice as fast as the local and arrives an hour ahead of the local. What is the speed of each train?
1 solutions
Answer 257618 by mananth(12270) on 2010-10-25 06:43:38 (Show Source):
You can put this solution on YOUR website!speed of local train =x mph
speed of express = 2x
..
d= 50
time local - time express =1
50/x - 50/2x= 1
(100-50) /2x=1
50=2x
x= 25 mph local train
express train speed = 50 mph
...
m.ananth@hotmail.ca
|
Miscellaneous_Word_Problems/361164: the sum of 3 numbers is 98. the first number is 2/3 of the second, and the second is 5/8 of the third. what are the 3 numbers?
1 solutions
Answer 257615 by mananth(12270) on 2010-10-25 06:29:05 (Show Source):
You can put this solution on YOUR website!the sum of 3 numbers is 98. the first number is 2/3 of the second, and the second is 5/8 of the third. what are the 3 numbers?
..
let third number be x
second = 5x/8
first = 2/3*5x/8=5x/12
...
x+5x/8+5x/12= 98
LCM = 24
(24x+15x+10x)/24=98
49x=24*98
x=24*98/49
x=48 third number
second number = 5/8*48=30
first number = 2/3*30=20
...
m.ananth@hotmail.ca
|
Problems-with-consecutive-odd-even-integers/361168: The middle number of three increasing consecutive odd numbers is n. Express the
product of the three numbers in terms of n.
1 solutions
Answer 257614 by mananth(12270) on 2010-10-25 06:12:35 (Show Source):
You can put this solution on YOUR website!The middle number of three increasing consecutive odd numbers is n. Express the
product of the three numbers in terms of n.
middle number is n
the previous odd number will be n-2
the next odd number will be n+2
..
the product will be
n(n-2)(n+2)
...
m.ananth@hotmail.ca
|
Quadratic_Equations/361105: Jess here! I need some help! I am not good in math AT ALL and this includes intermediate Algebra (section 11.4). My teacher is requiring that we, the students, show every single step on how we obtained our answers. If someone could be so kind as to help me solve this problem (below), with every single required step on how you got your answer, I would be SO HAPPY and so GRATEFUL!
Directions state: Solve the equation by making an appropriate substitution.
x^4 - 〖40x〗^2+144=0
Thanks so very much!
1 solutions
Answer 257607 by mananth(12270) on 2010-10-25 02:24:24 (Show Source):
|
Triangles/361135: The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side.
Thank you for your time and help.
1 solutions
Answer 257606 by mananth(12270) on 2010-10-25 02:00:24 (Show Source):
You can put this solution on YOUR website!The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side.
let x be the legs
x+2 = hypotenuse
x^2+x^2=(x+2)^2
2x^2=x^2+4x+4
x^2-4x-4=0
use quadratic formula
b^2-4ac= 32
..
x1=4.828
x2=-0.828 (ignore)
legs are 4.828 cm
hypotenuse = 6.828 cm
...
m.ananth@hotmail.ca
|
Quadratic_Equations/361107: Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4, #7). At the current moment I am stumped and totally confused on this one problem we are required to do. Apart of the requirements for completing the assignment is to show every single step on how I got to my answer. I wasn't sure if anyone could help me, but I thought I would post to see who's the master at these type of equations. Thank you so much in advance for all your help!
Directions: Solve the equation by making an appropriate substitution.
x-〖2x〗^(1/2)-8=0
1 solutions
Answer 257605 by mananth(12270) on 2010-10-25 01:52:40 (Show Source):
|
Linear-equations/361110: Find the value of k so that the lines through the given points are parallel. Line 1:(-1,-9)and(-6,-6) Line 2:(-7,K)and(0,-2)
1 solutions
Answer 257600 by mananth(12270) on 2010-10-25 00:42:02 (Show Source):
You can put this solution on YOUR website!(-1,-9)and(-6,-6) Line 2:(-7,K)and(0,-2)
slope of line 1 = slope of line 2
m= (y2-y1)/(x2-x1)
-6-(-9)/-6-(-1)
=3/-5
...
(-7,K)and(0,-2)
m=-2-k/0-(-7)
m=-2-k/7
..
3/-5 =(-2-k)/7
-5(-2-k)=7*3
10+k=21
k=21-10
k=11
...
m.ananth@hotmail.ca
|
Travel_Word_Problems/361111: the speed of a train a goes 10mph slower then the speed of train b train a traveles 210 miles and train b traveles 260 miles find the speed of the trains?
1 solutions
Answer 257598 by mananth(12270) on 2010-10-25 00:34:12 (Show Source):
You can put this solution on YOUR website!the speed of a train a goes 10mph slower then the speed of train b train a traveles 210 miles and train b traveles 260 miles find the speed of the trains?
...
train B x mph
train A x-10 mph
..
210/(x-10)= 260/x
210x=260(x-10)
210x=260x-2600
50x = 2600
/50
x= 2600/50
x=52mph train B
train A = 52-10=42 mph
...
m.ananth@hotmail.ca
|
Graphs/361035: . Joe’s electric made 25 customer calls last week and 22 calls this week. How many calls must bee made next week in order to maintain an average of 20 calls for the three week period.
At least ? calls must be made to maintain an average of 20 calls .
1 solutions
Answer 257568 by mananth(12270) on 2010-10-24 21:33:13 (Show Source):
You can put this solution on YOUR website!Joe’s electric made 25 customer calls last week and 22 calls this week. How many calls must bee made next week in order to maintain an average of 20 calls for the three week period.
average required 20 in 3 weeks
so total calls in 3 weeks will be 60.
..
in 2 weeks 25+22=47 calls have been made.
..
60-47 = 13 calls minimum have to be made to average 20.
...
m.ananth@hotmail.ca
|
Numbers_Word_Problems/361028: Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third
I have no idea how to do this. Can you explain deeply how please?
1 solutions
Answer 257565 by mananth(12270) on 2010-10-24 21:26:46 (Show Source):
You can put this solution on YOUR website!Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third
...
three consequtive even numbers
x,x+2,x+4
..
x+3(x+2)=2(x+4)+38
x+3x+6=2x+8+38
4x+6=2x+46
4x-2x=46-6
2x=40
x=20
...
20,22,24
...
m.ananth@hotmail.ca
|
Travel_Word_Problems/361015: Two friends live 60 miles apart. The decide to ride their bikes to meet each other. Friend 1 rides at 21 mph. Friend 2 rides at 15 mph. They leave at the same time. How long will it take them to meet and how far did each one ride?
1 solutions
Answer 257557 by mananth(12270) on 2010-10-24 21:10:37 (Show Source):
You can put this solution on YOUR website!Two friends live 60 miles apart. The decide to ride their bikes to meet each other. Friend 1 rides at 21 mph. Friend 2 rides at 15 mph. They leave at the same time. How long will it take them to meet and how far did each one ride?
..
distance = 60 miles
friend1 =21 mph
friend 2= 15 mph.
they are riding towards each other
so speed = 21+15 = 36 mph
..
t=d/r
t=60/36
=1.66 hours
d=rt
friend 1 distance = 1.66*21=35 miles
friend 2 = 25 miles
...
m.ananth@hotmail.ca
|
Surface-area/361016: The length of a rectangle is 3 times the width. If the width were increased by 3 meters while the length remained the same, the new rectangle would have an area of 30 sq meters. Find the length and width of the original rectangle.
1 solutions
Answer 257555 by mananth(12270) on 2010-10-24 21:06:44 (Show Source):
You can put this solution on YOUR website!The length of a rectangle is 3 times the width. If the width were increased by 3 meters while the length remained the same, the new rectangle would have an area of 30 sq meters. Find the length and width of the original rectangle.
...
let width be w
length = 3w
...
width w+3
length 3w
3w(w+3)=30
3w^2+9w-30=0
w^2+3w-10=0
(w+5)(w-2)=0
w=2 m the width
length = 3w= 6 m
...
m.ananth@hotmail.ca
|
|
