New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'kamallohia'
kamallohia answered: 18 problems
Rate-of-work-word-problems/616507: If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do the same piece of work in 4 days. How long will 7 men and 10 boys take to complete the same work?
1 solutions
Answer 389416 by kamallohia(18)   on 2012-06-09 00:52:56 (Show Source):
You can put this solution on YOUR website!Ans: 8 and 1/3 days
Sol: Let a man's daily work is x units and that of a boy is y units.
So total amount of work, W = 5(12x + 16y) = 4(13x + 24y)
=> 60x + 80y = 52x + 96y
=> 8x = 16y
=> x = 2y i.e. W = 5(24y + 16y) = 200y.
Now 7men and 10 boys' work of a day is = 7x + 10y = 14y + 10y = 24y.
So total days required to finish the work is = 200y/24y = 25/3 = 8 and 1/3 days.
|
Polynomials-and-rational-expressions/552448: List the coefficient of the given polynomial 6x^3-x^2+x+7
6,1,1
6,-1,1
3,2,1,
6,-1,1,7
1 solutions
Answer 360288 by kamallohia(18) on 2012-01-04 00:51:22 (Show Source):
|
Triangles/413535: Two altitudes of a triangle are 12 and 20. Find the range of possible values for the third altitude of the triangle.
1 solutions
Answer 290185 by kamallohia(18) on 2011-02-24 13:03:45 (Show Source):
|
Permutations/413290: What is 4C4?
1 solutions
Answer 290128 by kamallohia(18) on 2011-02-24 01:02:00 (Show Source):
You can put this solution on YOUR website!C(4, 4) = 1.
Actually C(n, r) is the number of ways in which you can select r different things out of available n different things. As there is only one way to select 4 different things out of 4 different things available, that's why C(4, 4) = 1.
Remember that order doesn't matter in selection.
|
Money_Word_Problems/413341: Mr. Santos invested half of his money at 7% per year and a half at 8% per year. His annual income from the two investments was 7,500pesos. How much did he invest at each rate?
1 solutions
Answer 290124 by kamallohia(18) on 2011-02-24 00:52:50 (Show Source):
You can put this solution on YOUR website!On an average he is getting 7.5% per annum i.e. 7.5 pesos per year at an investment of 100 pesos. Now as he's getting 7500 pesos from both of his investment, he'd have invested 100,000pesos.
Remember I am considering 7500pesos as the interest acrued only. But if it is the total amount including principal amount and interest, in that case the proncipal amount will be different and can be easily calculated as 7500/1.075 = 6976.75 pesos.
|
Mixture_Word_Problems/413408: A hospital staff mixed a 75% disinfectant solution with a 25% disinfectant solution. How many liters of each were used to make 20 L of a 45% disinfectant solution?
1 solutions
Answer 290122 by kamallohia(18) on 2011-02-24 00:41:51 (Show Source):
You can put this solution on YOUR website!We need to mix 2 parts of 75% solution with 3 parts of 25% solution to make 5 parts of 45% solution as 2*75 + 3*25 = 5*45.
So to make a 20L of 45% solution, we need to mix 8L of 75% solution and 12L of 25% solution.
|
Travel_Word_Problems/254432: two planes departed simultaneously from parallel runways at an airport. they flew in the same direction. after 5 hours, the faster plane was 300 km ahead of the slower plane. find the distance flown by each plane if the total of these distances is 5 300 km.
1 solutions
Answer 186736 by kamallohia(18) on 2010-01-07 05:58:23 (Show Source):
You can put this solution on YOUR website!Let the distances travelled by each plane be x and y km respectively.
Then, as given
x + y = 5300
x - y = 300
=> x = 2800 km and y = 2500 km
|
Linear-systems/117380: This question is from textbook Algegra I
A photo shop has a self service photo center that allows you to make prints of pictures. Each sheet of printed pictures costs $8. One sheet has four 3x5 pictures and the other sheet has two 4x6 pictures. You want at least 16 pictures of any size and you are willing to spend up to $48. Write a system of inequalities that models the situation. Please help! Thanks.
1 solutions
Answer 86121 by kamallohia(18) on 2007-12-25 08:46:38 (Show Source):
You can put this solution on YOUR website!Let x be the number of sheets having 4 photoes of size 3*5
and y be the number of sheets having 2 pictures of size 4*6.
Now 4x + 2y >=16
and 8(x+y)<=48
|
Graphs/118041: Celsius temperature readings can be converted to fahrenheit readings using the formula F = 9/5C+32. What is the fahrenheit temperature that corresponds to each of the following celsius temperatures: -10,0,15,100?
1 solutions
Answer 86120 by kamallohia(18) on 2007-12-25 08:30:40 (Show Source):
You can put this solution on YOUR website!As F = (9/5)*C + 32.
When C = -10 , F = -18 + 32 = 14
When C = 0, F = 0 + 32 = 32
When C = 10, F = 18 + 32 = 50
When C = 100, F = 180 + 32 = 212
|
Unit_Conversion_Word_Problems/90165: This question is from textbook
On my worksheet it says Radicals and Rational Exponent/Complex Numbers
Anne is pulling on a 60 foot rope attached to the top of a 48 foot tree while Walter is cutting the tree at its base. How far is it from the base of the tree is Ann standing?
1 solutions
Answer 65440 by kamallohia(18) on 2007-07-26 10:10:28 (Show Source):
|
Length-and-distance/90117: If points A,B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C) 1 solutions
Answer 65431 by kamallohia(18) on 2007-07-26 03:45:07 (Show Source):
You can put this solution on YOUR website!If points A,B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C)
Here goes the solution.
Let x be the co-ordinate of point C then d(AC)=x-15,
and d(BC)=x-7 if x>7,15
then as given, (x-15)>(x-7)=> which can't be true for x>15
So let's assume 7
hence (15-x)<(x-7) => 2x>22 => x>11.
Now if x<7,15
then, (15-x)<(7-X) => which can't be true for x<7
Hence solution set is 11>x>15.
Hope this is clear.
Kamal Lohia
|
Polynomials-and-rational-expressions/90081: find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n
1 solutions
Answer 65430 by kamallohia(18) on 2007-07-26 03:41:57 (Show Source):
You can put this solution on YOUR website!find the value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n
Now factorize 9m^2-kn^2 and equate the factors with given factors as follows
9m^2-kn^2 = (3*m-n*k^0.5)(3*m+n*k^0.5)
equating with given factors we get
k^0.5=7 =>k=49.
Hope this is clear.
Kamal Lohia
|
Equations/90127: Given P(x)=2x^2+13x+11 and Q(x)=2x^2+10x+8 Find P(x)+Q(x)
1 solutions
Answer 65429 by kamallohia(18) on 2007-07-26 03:08:36 (Show Source):
You can put this solution on YOUR website!Just add the coefficients of x^2 , x and the constant terms.
Given P(x)=2x^2+13x+11 and Q(x)=2x^2+10x+8
So, P(x)+Q(x)= (2+2)x^2+(13+10)x+(11+8)
=>P(x)+Q(x)= 4x^2+23x+19.
Hope it's clear.
Kamal Lohia
|
|
