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, >>NextRate-of-work-word-problems/342784: Please help me with this question!
It takes you 9 mins to wash a car and it takes your friend 12 mins to wash a car. How long does it take the two of you to wash 7 cars if you work together?
1 solutions
Answer 245332 by mananth(12270)   on 2010-09-13 23:42:05 (Show Source):
You can put this solution on YOUR website!I take 9 minutes
so 1/9 of the job I do in 1 minute
..
my friend takes 12 minutes
he tdoes 1/12 of the job in 1 minute
..
Together they can do 1/9+1/12 of the job in 1 minute
LCD 36
(4+3)/36
7/36 of the job they do in 1 minute
so they take 36/7 minutes to clean the car together
5.14 hours
7 cars they take 7*5.14 = 35.98 minutes
|
Numbers_Word_Problems/342779: a class has 1 more boy than girl one third of the boys and three fourths of the girls love pizza if 9 students love pizza how many girls and how many boys are in the class
1 solutions
Answer 245330 by mananth(12270) on 2010-09-13 23:36:45 (Show Source):
You can put this solution on YOUR website!let number of girls be x
boys are x+1
..
(x+1)/3 + 3x/4 =9
LCD = 12
(4*(x+1) +3*3x) /12 = 9
4x+4+9x=12*9
13x+4=108
-4
13x+4-4=108-4
13x=104
x= 8 number of girls
x+1 = boys = 8+1 =9
|
Finance/342773: The Sales tax for a screwdriver set came to $1.04. If the sales tax rate is 6.5% ,what was the price of the screwdriver?
1 solutions
Answer 245325 by mananth(12270) on 2010-09-13 23:26:07 (Show Source):
|
Travel_Word_Problems/342770: A boy can row a boat at a constant rate of 7 mi/hr in still water, as indicated in the figure. He rows up-stream for 18 minutes and then rows downstream, returning to his starting point in another 16 minutes. Find the rate of the current
1 solutions
Answer 245323 by mananth(12270) on 2010-09-13 23:20:52 (Show Source):
You can put this solution on YOUR website!let rate of current be x mph
still water speed = 7mph
..
upstream speed = 7-x mph
down stream speed = 7+x mph
...
time upstream = 18 minutes = 18/60 = 3/10 hours
downstream speed = 16 minutes = 16/60 = 4/15 hours
..
Distance = time * speed
distance upstream = (7-x)*3/10 miles
distance downstream = (7+x)*4/15 miles
..
But distance is same
(7-x)*3/10 = (7+x)*4/15 miles
(7-x)*3*15=(7+x)*4*10
315-45x=280+40x
315-80=40x+45x
35=85x
x=35/85
speed of current = 0.411 mph
..
|
Miscellaneous_Word_Problems/342684: I have six more dimes then quarters in my pocket. the total amount of money I have in my pocket is $2.00. how many quarters do i have? how many dimes do i have?
1 solutions
Answer 245268 by mananth(12270) on 2010-09-13 20:58:54 (Show Source):
You can put this solution on YOUR website!let quarters be x
dimes = x+6
..
total money = 200 cents
25x+10(x+6)=200
25x+10x+60=200
35x+60=200
-60
35x+60-60=200-60
35x = 140
/35
x=140/35
x=4 quarters
dimes = x+6 =10
|
Miscellaneous_Word_Problems/342682: A play ground is 1 yard longer than twice its width. John wants to increase the length and width buy 5 feet each to enlarge the area by 90 square feet. what will be the area of the new pen?
1 solutions
Answer 245243 by mananth(12270) on 2010-09-13 20:32:25 (Show Source):
You can put this solution on YOUR website!let width be x
length = 2x+1
...
increase by 5 ft
x+5 width
2x+1+5 = length
2x+6.
...
(x+5)(2x+6)-x(2x+1)=90
2x^2+6x+10x+30-2x^2-x=90
15x+30=90
-30
15x+30-30=90-30
15x=60
x=4 feet
New width = x+5 = 9 feet
New length = 2x+6 = 14 feet.
..
|
Miscellaneous_Word_Problems/342679: tom's bike shop rents bikes for $0.30 a mile and an initial $10.00 fee. joe's bike shop rents bikes for $0.50 a mile and an initial fee of $6.00. at what mileage would the two shops cost the same? what would that cost be?
1 solutions
Answer 245241 by mananth(12270) on 2010-09-13 20:26:20 (Show Source):
You can put this solution on YOUR website!tom's bike shop rents bikes for $0.30 a mile and an initial $10.00 fee. joe's bike shop rents bikes for $0.50 a mile and an initial fee of $6.00. at what mileage would the two shops cost the same? what would that cost be?
let the number of miles be x
TOM
0.3x++10
JOE
0.5x+6
..
0.3x+10=0.5x+6
-0.3x
0.3x-0.3x+10=0.5x-0.3x+6
10=0.2x+6
-6
10-6=0.2x
4=0.2x
x=4/0.2
= 20 miles.
At 20 miles both will cost the same
|
Money_Word_Problems/342315: How do I figure out this word problem? "A couple does not want to spend more than $90 dollars for dinner at a resturant. If the sales taxx of 5% is added to the bill and they plan to tip 15% after the tax has been added, what is the most the couple can spend?" I believe you need to set up a quadratic exation like 90 = .05x + .15(.05x)+ x but I'm not sure.
1 solutions
Answer 244994 by mananth(12270) on 2010-09-13 09:23:23 (Show Source):
You can put this solution on YOUR website!let the bill be $x
sales tax = 5 %
.
The bill with sales tax will be 1.05 x
...
15% tip on this value
= 1.15 * 1.05x
=1.2075x
1.2075x=90
x=90/1.2075
x $ 74.54
The bill should not be more than $ 74.53
..
|
Rate-of-work-word-problems/342302: One pipe fills a pool in 30 min
Another pipe fills a pool in 20 min
Another in 10 min
If all 3 were on how long till the pool is filled
1 solutions
Answer 244984 by mananth(12270) on 2010-09-13 08:56:47 (Show Source):
You can put this solution on YOUR website!one pipe fills 1/30 of pool in 1 minute
the second fills 1/20 of the pool in 1 minute
the third fills 1/10 of the pool in 1 minute
...
Together they will fill 1/10 + 1/20 + 1/30 of the pool in 1 minute
LCD = 60
(6+3+2)/ 60
=11/60 of the pool they fill in 1 minute
so they will take 60/11 minutes to fill the pool
60/11= 5 .45 minutes
|
Miscellaneous_Word_Problems/342313: Time Temperature
5:00 -10.2
7:00 -6.1
9:00 -2.3
11:00 4
The table gives both time and temperature.How much higher was the temperature at
9 o’clock that 5 o’clock?
(A)3.8 (B) 4.1 (C) 7.9 (D) 10.1 (E) 12.5
1 solutions
Answer 244982 by mananth(12270) on 2010-09-13 08:50:59 (Show Source):
|
Angles/342243: The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle.
1 solutions
Answer 244928 by mananth(12270) on 2010-09-12 23:21:38 (Show Source):
You can put this solution on YOUR website!let one angle be x
the other complementary angle will be 90-x
...
supplementary angle will be 180-x
..
x+(90-x)-x+(180-x)= 32
x+90-x -x +180 -x=32
-2x=32-180-90
-2x=-238
divide by -2
x= -238/-2
x=119 degrees
CHECK
119+(90-119)-119+(180-119)=32
|
Word_Problems_With_Coins/342251: Twenty-five coins, a combination of dimes and quarters, are worth $4.75. How many coins are dimes? How many are quarters?
1 solutions
Answer 244920 by mananth(12270) on 2010-09-12 23:07:37 (Show Source):
You can put this solution on YOUR website!let number of dimes be d
quarters will be 25-d
..
total value = 475 cents
10d+25(25-d)=475
10d+625-25d=475
-15d=475-625
-15d=-150
divide by -15
d= 10 the number of dimes
quarters will be 15
CHECK
15*25+10*10=475
|
Rectangles/342245: Given a rectangle that is 36 cm longer than it is wide. Express the perimeter (in cm) of a rectangle in terms of its width .
1 solutions
Answer 244917 by mananth(12270) on 2010-09-12 23:02:57 (Show Source):
|
Expressions-with-variables/342246: i need help on trying to understanding how to evaluate each expression for the given values of the variables such as 7p-2t+3for p=6andt=2 can u simpleflie this for me please .
1 solutions
Answer 244915 by mananth(12270) on 2010-09-12 22:58:11 (Show Source):
|
Polynomials-and-rational-expressions/342208: the office jet printer can copy sues dissertation in 14 min, the laserjet printer can copy the same dissertation in 16 min. If the two printers work together how long will it take to copy the dissertation?
1 solutions
Answer 244905 by mananth(12270) on 2010-09-12 21:31:54 (Show Source):
You can put this solution on YOUR website!office et printer does the job in 14 monites
so it does 1.14 of the job in 1 minute.
...
laser jet does the job in 16 minutes
so it does 1/16 of the job in 1 minute.
together they do 1/14 + 1/16 of the job in 1 minute
(14+16)/224
30/224
...
to complete the job they will take 224/30 minutes
7.46 minutes
|
Linear-equations/342204: find the standard from of the equation of the line that passes through the points (-5, -8) and (3,2)
1 solutions
Answer 244903 by mananth(12270) on 2010-09-12 21:25:14 (Show Source):
You can put this solution on YOUR website!(-5, -8) and (3,2)
slope of the line m =  for (x1,y1), (x2,y2)
m= 5/4
..
y= mx+b
plug value of x,y of any point in the equation.
2=5/4 * 3 +b
2=15/4+b
2-15/4 =b
(8-15)/4 = b
-7/4 =b
y= 5x/4 -7/4 is the required equation
|
Graphs/342205: When graphing a linear inequality how do you know if the inequality represents the area above the line?
1 solutions
Answer 244901 by mananth(12270) on 2010-09-12 21:17:04 (Show Source):
You can put this solution on YOUR website!when graphing an inequality
..
if y < than something then the area below the line is the solution.
if y > than something then all values above the line are the solutions.
|
Travel_Word_Problems/341809: a one-mile long train is traveling at a constant speed of 60 mph. if it enters a tunnel that is 1 mile long at exactly 1 p.m., at what time will the rear of the train emerge from the tunnel?
1 solutions
Answer 244770 by mananth(12270) on 2010-09-12 03:25:14 (Show Source):
You can put this solution on YOUR website!length of train 1 mile
length of tunnel = 1 mile
total distance to travel = 3 miles
..
speed = 60 mph
 minutes
=2 minutes
It will get out of the tunnel at 1:02 pm.
|
Percentage-and-ratio-word-problems/341835: Walt made an extra $9000.00 last year from a part time job. He invested part of the money at 8% and the rest at 7%. He made a total of $680.00 in nterest. How much was invested?
1 solutions
Answer 244767 by mananth(12270) on 2010-09-12 02:39:11 (Show Source):
You can put this solution on YOUR website!let him invest $x at 8%
he will invest 9000-x at 7%
he recieved an interest of $680
..
0.08x+0.07(9000-x)=680
multiply by 100
8x+7(9000-x)=100*680
8x+63000-7x= 68000
x= 68000-63000
x= 5000 amount invested @ 8%
balance $4000 he invests at 7%
|
Travel_Word_Problems/341863: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collison dector warns the driver that there is a train 50 meters from teh car and heading toward the same crossing. How far is the train form the car?
1 solutions
Answer 244766 by mananth(12270) on 2010-09-12 02:33:14 (Show Source):
You can put this solution on YOUR website!The car , the crossing & the train are at right angles to each other.
the hypotenuse = 50 m
the leg =30 m
other leg = (sqrt(50^2-30^2)
sqrt(2500-900)
=sqrt 1600
=40 m.
Train is 40 m from the crossing
|
|
