New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'HyperBrain'
HyperBrain answered: 694 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, >>Nextreal-numbers/95763: Suppose a is a whole number and b is an irrational number. Is it possible for the broduct of ab to be a rational number?
1 solutions
Answer 79286 by HyperBrain(694)   on 2007-11-08 07:23:36 (Show Source):
|
real-numbers/97227: 5(2d)=(2d)5
these are my choices:
True(cummutative property)
True(associated property)
False
1 solutions
Answer 79284 by HyperBrain(694) on 2007-11-08 07:15:44 (Show Source):
You can put this solution on YOUR website!It is not associattive because you didn't change the grouping
It is definitely NOT false
It is the COMMUTATIVE PROPERTY OF MULTIPLICATION
Power up,
HyperBrain!
|
Equations/108547: Find the Greatest Common Factor of the numbers or monomials.
45,75
Any help with this equation would be greatly appreciated:)
1 solutions
Answer 79276 by HyperBrain(694) on 2007-11-08 06:35:10 (Show Source):
|
Equations/108550: Find the Least Common Multiple of the numbers or monomials.
22. 5,14
Any help with this equation would be greatly appreciated:)
1 solutions
Answer 79275 by HyperBrain(694) on 2007-11-08 06:27:09 (Show Source):
|
Equations/108562: Use the LCD to determine which fraction is greater
27. 5/2,7/3
Any help with this equation would be greatly appreciated:)
1 solutions
Answer 79274 by HyperBrain(694) on 2007-11-08 06:15:49 (Show Source):
You can put this solution on YOUR website!
Let's compare  and 
?
 ? 
 ? 
 ? 
NOte: if two fractions are given to be  and  , and p < q, then is greater than
Thus, is greater than and therefore,  is greater than 
SINCE 2 and 3 are prime to each other then their least common multiple (LCM) is 
Power up,
HyperBrain!
|
Graphs/108745: a taxicab ride that is 2 miles long cost $7. One that is 9 miles long cost $24.50. Write an equation relating cost to length of ride.
1 solutions
Answer 79273 by HyperBrain(694) on 2007-11-08 05:58:27 (Show Source):
You can put this solution on YOUR website!Let x=the x-coordinate
____y=the y-coordinate
Here, I want the x-coordinate to be the no. of miles and the y-coordinate to be the price. So, the points are (  ,  ) , (  ,  )
Let's find the slope
slope=  =  =  = 
Now, let's use the slope-intercept form  where m=slope and b=y-intercept
m=2.5 but b is unknown. So, let's use (2,7) for x=2 and y=7
Thus, the equation is 
Which is interpreted as "the price is calculated by multiplying the no. of miles by 2.5 and by adding 2 to the result"
Graph:
Power up,
HyperBrain!
|
Trigonometry-basics/108496: the width of a rectangle is 2 units less than its length. if the diagonal of the rectangle is 10 units long, find the dimensions of the rectangle.
1 solutions
Answer 79125 by HyperBrain(694) on 2007-11-07 05:41:26 (Show Source):
You can put this solution on YOUR website!The Phytagorean Theorem can be applied!
Let a=x(the length)
____b=x-2(the width)
____c=10
Thus,
By the quadratic formula,
We will eliminate the  part 'coz it will be only negative---an impossible result
Continuing,
Thus, the length is 8.2801098892805 units long
If x=8.2801098892805, then x+2=10.2801098892805
Thus, the width is 10.2801098892805 units long
Power up,
HyperBrain!
|
Coordinate-system/107848: complete the following table for the equation: y=6x-5
x -3 -1 __,__
y __,__,2, 4
1 solutions
Answer 79121 by HyperBrain(694) on 2007-11-07 05:30:13 (Show Source):
You can put this solution on YOUR website!x -3,-1,__,__
y __,__,2, 4
If x=-3, y=6x-5=6(-3)-5=-18-5=-23
Put this,
x -3,-1,__,__
y -23,__,2, 4
If x=-1, y=6(-1)-5=-6-5=-11
Putting this,
x -3,-1,__,__
y -23,-11,2, 4
Given that y=6x-5,
IF y=2, 
Putting this,
x -3,-1,  ,__
y -23,-11,2, 4
If y=4, 
Finalizing -----therefore, the COMPLETED table is
x -3,-1, , 
y -23,-11,2, 4
Power up,
HyperBrain!
|
Geometry_Word_Problems/108309: The perimeter of a rectangle is to be no greater than 300 in.,
and the length must be 125 in.
Find the maximum width of the rectangle.
1 solutions
Answer 78945 by HyperBrain(694) on 2007-11-06 05:17:11 (Show Source):
You can put this solution on YOUR website!
perimeter=2*(length+width)
Let x=length
____y=width
____2(x+y)=perimeter
The perimeter of a rectangle is to be no greater than 300 in.,
But,  (the length must be 125 in).So,
Thus, the maximum measure of the width is 25 inches
Power up,
HyperBrain!
|
Graphs/108314: Solve the system by addition.
5x – 3y = 13
4x – 3y = 11
1 solutions
Answer 78944 by HyperBrain(694) on 2007-11-06 05:11:39 (Show Source):
You can put this solution on YOUR website! 5x – 3y = 13
4x – 3y = 11
Multiplying  by  ,
Adding this to  ,
~~~~~~~~~~~~~~~~~~~~~~~~~ 5x-3y=13
~~~~~~~~~~~~~~~~~~~~~~~~ -4x+3y=-11
___________________________________
~~~~~~~~~~~~~~~~~~~~~~~~~~ x =2
Solving for y,
Thus, 
Power up,
HyperBrain!
|
Graphs/108315: Solve the system by addition.
4x – 6y = –1
8x + 3y = 3
1 solutions
Answer 78942 by HyperBrain(694) on 2007-11-06 05:04:32 (Show Source):
You can put this solution on YOUR website!4x – 6y = –1
8x + 3y = 3
Multiplying  by ,
Adding to  ,
~~~~~~~~~~~~~~~~~~~~~~~~~~~~16x+6y=6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 4x-6y=-1
______________________________________
~~~~~~~~~~~~~~~~~~~~~~~~~~~~20x =5
Solving for y,
Thus,  and
Power up,
HyperBrain!
|
Equations/108258: You can evaluate the expression 112 - p to find the number of pencils you have left from a package of 112 pencils after you have distributed p pencils among your classmates. Find the number of pencils you have left after distributin 56 pencils.
1 solutions
Answer 78940 by HyperBrain(694) on 2007-11-06 02:18:52 (Show Source):
|
|
