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Recent problems solved by 'palanisamy'
palanisamy answered: 496 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, >>NextPoints-lines-and-rays/333348: The three distinct points P, Q, and R lie on a line +; the four distinct points S, T, U, and V lie on a different line that is parallel to line . What is the total number of different lines that can be drawn so that each line contains exactly two of the seven points?
1 solutions
Answer 238871 by palanisamy(496)   on 2010-08-20 08:23:22 (Show Source):
You can put this solution on YOUR website!First consider the point P. We can draw 4 distinct lines through PandS, P and T, P and U , P and V.
Similarly we can draw 4 lines through Q and each of the four points on the second line.
At last we can draw 4 lines through R and each of the four points on the second line.
So altogether we can draw 12 distinct lines
ANOTHER METHOD
Join each of the three points on each of the four points on the second line.
We can draw 3*4 = 12 distinct lines
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Functions/333354: A group of students washed cars to raise money. The net amount A, in dollars, raised by washing k cars is given by the function A(K) = 4K-30 .If the group washed 15 cars, what is the net amount they raised?
(A) $10
(B) $15
(C) $20
(D) $25
(E) $30
1 solutions
Answer 238862 by palanisamy(496) on 2010-08-20 08:03:02 (Show Source):
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Miscellaneous_Word_Problems/333351: If E is the set of even integers, P is the set of positive integers, and F is the set of integers less than 5, which of the following integers will be in all three sets?
(A) 6
(B) 4
(C) 1
(D) 0
(E) -2
1 solutions
Answer 238860 by palanisamy(496) on 2010-08-20 08:00:42 (Show Source):
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Linear_Algebra/316864: a pool measuring 20 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 1344 sqaure meters, what is the width of the path?
1 solutions
Answer 226772 by palanisamy(496) on 2010-06-23 10:22:54 (Show Source):
You can put this solution on YOUR website!Given, the length of the pool = 30 m
And the width of the pool = 20 m
Let the width of the path = x m
Then, the length of the rectangle including the path = 30+x
And the width of the rectangle including the path = 20+x
Total area is (30+x)(20+x) = 1344
600+30x+20x+x^2-1344 = 0
x^2 +50x-744 = 0
X^2+62x-12x-744=0
x(x+62)-12(x+62)=0
(x-12)(x+62)=0
x=12,-62
The width of the path is 12 m
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Polynomials-and-rational-expressions/315722: If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square.
Can anyone please help me with this? THank you!
1 solutions
Answer 225880 by palanisamy(496) on 2010-06-19 10:45:54 (Show Source):
You can put this solution on YOUR website!Let the length of the side of the original square = x
It is increased by 8 cm
So, the length of the side of the new square = x+8
The area of the new square is (x+8)^2=169
Taking square root,
x+8= Sqrt(169)
x+8=13
x = 13-5
x=5 cm
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Linear-systems/311293: at a fair the admission is $1.50 for children and $4.00 for adults. one day 2,200 people enter the fair and $5,050 is collected. how many children and how many adults attended.
1 solutions
Answer 222633 by palanisamy(496) on 2010-06-04 11:28:16 (Show Source):
You can put this solution on YOUR website!Let the number of children = x
And the number of adults = y
Total number x+y = 2,200 ...(1)
Total collection 1.5x+4y=5050 ...(2)
(1)*4=> 4x+4y = 8,800 ...(3)
(3)-(2)=> 2.5 x = 3,750
x = 3750/2.5
x = 1500
(1)=> 1500+y=2200
y=2200-1500
y=700
So, the number of children = 1500
And the number of adults = 700
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Equations/311292: you have 12 bills in your wallet some of the bills are $5's and some are $10's totaling $100 how many of ech do you have? I am not very good with figuring out word problems can you help?
1 solutions
Answer 222626 by palanisamy(496) on 2010-06-04 11:06:59 (Show Source):
You can put this solution on YOUR website!Let the number of $5 bills = x
And the number of $10 bills = y
Total nomber of bills x+y = 12 ...(1)
Total value is 5x+10y = 100 ...(2)
(1)*5=> 5x+5y = 60 ...(3)
(2)-(3)=> 5y=40
y= 40/5
y= 8
(1)=> x+8=12
x=12-8
x=4
So, the number of $5 bills = 4
And the number of $10 bills = 8
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Rational-functions/311274: ok....i need help understanding or a walkthrough of how to solve a problem from the section of "the difference of rational expressions, with unlike denominators" ALGEBRA 2.please help i only have a few hours to get this lesson done....i will not be able to get back on the school site to do my work after 12pm eastern time..
thanks for all your help!!
1 solutions
Answer 222624 by palanisamy(496) on 2010-06-04 11:00:33 (Show Source):
You can put this solution on YOUR website!Hello!
I will show you a few examples
1) 2/3- 2/7 = 2*7/3*7 - 2*3/7*3
=14/21-6/21
=(14-6)/21
=8/21
2) 7/10-9/20= 7*2/10*2 - 9/20
=(14-9)/20
=5/20
=1/4
3) 1/(x+1)-1/(x+2)
=1*(x+2)/(x+1)(x+2)-1*(x+1)/(x+1)(x+2)
=[(x+2)-(x+1)/(x+1)(x+2)
=[x+2-x-1]/(x+1)(x+2)
=1/(x+1)(x+2)
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Travel_Word_Problems/310943: Can you help me with this problem? I don't understand how to write the formulas of a word problem. If the speed of light is 3.00*10^8 m/sec, how long does it take light to travel 2.29*10^11 m, the distance from the sun to mars? round to one decimal place. Please show work
1 solutions
Answer 222372 by palanisamy(496) on 2010-06-03 08:53:30 (Show Source):
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Inequalities/310939: A rectangle has length ( x + 11) in width 2x in . the perimeter of the rectangle is at least 47 inches and at most 52 inches .find the greatest value of x that satisfies the condition
1 solutions
Answer 222369 by palanisamy(496) on 2010-06-03 08:45:12 (Show Source):
You can put this solution on YOUR website!Given,
A rectangle has length ( x + 11) in width 2x in
Its perimeter = 2[x+11+2x]=6x+22
Given,
the perimeter of the rectangle is at least 47 inches and at most 52 inches
47< 6x+22< 52
47-22< 6x< 52-22
25< 6x< 30
25/6< x < 30/6
25/6
So the maximum value of x is 5
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Equations/310927: how would you find the intercepts for the equations X+Y=56 and y/x=3/1 and where would they intersect if graphing? I am not sure I understand how to do this. Please help.
1 solutions
Answer 222362 by palanisamy(496) on 2010-06-03 08:06:51 (Show Source):
You can put this solution on YOUR website!The equation of the first line is x+y = 56 ...(1)
To find the y - intercept put x = 0
(1) => 0+y = 56
y=56
So the y intercept is ( 0, 56)
Next,
To find the x - intercept put y = 0
(1) => x+0 = 56
x=56
So the x intercept is ( 56 , 0)
The equation of the first line is y/x = 3/1 ...(2)
y=3x
This line passes through origin.
So its x intercept is (0,0)
and x intercept is (0,0)
The poit of intersection is obtained by solving (1) and (2)
I am unable to give you the graph here
For more details and clear your doubts pl contact me
kpalanisamy369@gmail.com
Put y=3x in (1)
We get x+3x=56
4x=56
x=56/4
x=14
y=3*14
y=42
So the point of intersection is ( 14,42)
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Equations/309793: Factor completly 81x^2 - 441y^2
I was able to break down the first part but had problems breaking down the 441y^2
1 solutions
Answer 221560 by palanisamy(496) on 2010-05-30 09:31:22 (Show Source):
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Linear-equations/309761: Creating equations:
the slope is 2 and the graph passes through ordered pair (1,-5).. what is the equation? and please write the explanition. Show your work.
the slope is 0 and the graph passes through ordered pair (0,-7).. what is the equation? and please write the explanition. Show your work.
the slope is undefined and the graph passes through ordered pair (12,0).. what is the equation? and please write the explanition. Show your work.
the slope is -1/3 and the graph passes through ordered pair (-6,-7).. what is the equation? and please write the explanition. Show your work.
the equation is parallel to the following equation y=-2/3x+5, and goes through the following ordered pairs (6,-7) what is the equation? and please write the explanition. Show your work.
the equation is perpendicular to the following equation y=-2/3x+5, and goes through the following ordered pairs (6,-7)
1 solutions
Answer 221550 by palanisamy(496) on 2010-05-30 07:41:09 (Show Source):
You can put this solution on YOUR website!1) the slope is 2 and the graph passes through ordered pair (1,-5)..
The equation of the line is
(y+5) = 2(x-1)
y+5 = 2x-2
y = 2x-7
2) the slope is 0 and the graph passes through ordered pair (0,-7)..
The equation of the line is
(y+7) = 0(x-0)
y+7=0
y=-7
3) the slope is undefined and the graph passes through ordered pair (12,0)..
The equation of the line is
x-12=0
x=12
4) the slope is -1/3 and the graph passes through ordered pair (-6,-7)..
The equation of the line is
(y+7) = -1/3(x+6)
y+7=-x/3-2
y=-x/3 -9
5) the equation is parallel to the following equation y=-2/3x+5, and goes through the following ordered pairs (6,-7)
Let the equation of the required line be
y = (-2/3)x+k ...(1)
The point (6,-7) lies on it
So, -7 = (-2/3)*6+k
-7 +4=k
k=-3
So, (1) => the equation of the required line be
y = (-2/3)x - 3
6)the equation is perpendicular to the following equation y=-2/3x+5, and goes through the following ordered pairs (6,-7)
The slope of the given line = -2/3
The slope of the perpendicular line is 3/2
The equation of the required line is
y+7 = (3/2)(x-6)
y = (3/2)x-9-7
y = (3/2)x-16
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Triangles/309769: The lengths of the sides of an isosceles triangle are 20, n, and n. If n is an integer, what is the smallest possible permiter of the triangle. Solution options are 40, 41, 42, 44, 60. Thank you.
1 solutions
Answer 221548 by palanisamy(496) on 2010-05-30 07:25:49 (Show Source):
You can put this solution on YOUR website!The lengths of the sides of an isosceles triangle are 20, n, and n
Perimeter = 20+n+n = 20+2n, an even integer
The smallest possible permiter of the triangle is 40
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Percentage-and-ratio-word-problems/309765: Luis had exactly $7 before Bryan paid him a $26 debt. After the debt was paid, Bryan had 1/3 of Luis’s new total. How much did Bryan have before the debt was paid?
(A)$33 (B) $35 (C) $36 (D) $37 (E) $47
1 solutions
Answer 221546 by palanisamy(496) on 2010-05-30 07:19:36 (Show Source):
You can put this solution on YOUR website!Luis had exactly $7 before Bryan paid him a $26 debt
Luis new total amount = 7+26 = 33
Given, after the debt was paid, Bryan had 1/3 of Luis’s new total.
after the debt was paid, the amount Bryan has = 33/3 = 11
So the amount Bryan had before the debt was paid = 11+26 = $ 37
Solution D
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Miscellaneous_Word_Problems/309766: Joe had a balance of $60 in his account immediately before he deposited his weekly salary. He wrote a check to the electric company for $30, a check to the telephone company for $90, and a check to the cable company for $40. He withdrew the remaining $350 to spend on food and clothes. His friend Kate then paid him $75 she owed.What is Joe’s salary for this week?
(A) $375 (B) $450 (C) $510 (D) $525 (E) $585
1 solutions
Answer 221543 by palanisamy(496) on 2010-05-30 07:10:48 (Show Source):
You can put this solution on YOUR website!Joe had a balance of $60 in his account.
Let his weekly salary = $ x
So Total amount in his account = 60+x
He wrote a check to the electric company for $30, a check to the telephone company for $90, and a check to the cable company for $40.
Total amount spent = 30+90+40 = $160
Balance amount in his account is (60+x)-160 = 350
60+x = 350+160
x = 510-60
x= $ 450
Solution B
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Exponents/309763: The product of a negative even number raised to an odd power and a positive odd number raised to an odd power is always
(A) negative and odd
(B) negative and even
(C) positive and odd
(D) positive and even
(E) cannot be determined
1 solutions
Answer 221542 by palanisamy(496) on 2010-05-30 07:04:58 (Show Source):
You can put this solution on YOUR website!A negative even number raised to an odd power = negative even number
A positive odd number raised to an odd power = positive odd number
The product of a negative even number raised to an odd power and a positive odd number raised to an odd power is = negative even number
Solution B
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Equations/309747: you deposit $3000 in an account that pays 6% annual interest. find the balance after 2 years if the interest is compounded quarterly?
1 solutions
Answer 221540 by palanisamy(496) on 2010-05-30 06:55:27 (Show Source):
You can put this solution on YOUR website!P = $ 3000
r= 6% = .06
the interest is compounded quarterly
n= 2 years
t = 4
Total amount after two years = P(1+r/t)^nt
=3000(1+.015)^8
=$ 3379.48
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