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Numbers_Word_Problems/54490: can you think of any two odd numbers where the sum of the numbers will be odd
1 solutions
Answer 36749 by funmath(2925)   on 2006-10-03 18:02:17 (Show Source):
You can put this solution on YOUR website!No, the sum of any two odd numbers is even.
1+1=2
23565+13=23578
I won't bore you with more examples.
Do you need it proven, let me know what math you're in and I'll prove it.
Sorry, I mistyped the first line yesterday.
Happy Calculating!!!
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Linear-systems/54421: Solve the system by substitution:
x-2y=6
y=2x-6
1 solutions
Answer 36746 by funmath(2925) on 2006-10-03 17:51:33 (Show Source):
You can put this solution on YOUR website!L1) x-2y=6
L2) y=2x-6
-----------Since L2 is already solved for y, plug (2x-6) in for y in L1 and solve for x:
x-2(2x-6)=6
x-4x+12=6
-3x+12=6
-3x+12-12=6-12
-3x=-6
-3x/-3=-6/-3
x=2
------------Plug (2) in for x in L2 and solve for y:
y=2(2)-6
y=4-6
y=-2
------------The solution (x,y)=(2,-2)
Check in both equations by substituting (x,y)=(2,-2) and see if it equals out:
L1) (2)-2(-2)=6
2+4=6
6=6 L1 checks out.
L2) (-2)=2(2)-6
-2=4-6
-2=-2 L2 checks out also, so we can say with confidence that the solution indeed is:(x,y)=(2,-2)
Happy Calculating!!!
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Geometry_proofs/54489: Factor completely.
16+2x^3y^3
1 solutions
Answer 36745 by funmath(2925) on 2006-10-03 17:37:34 (Show Source):
You can put this solution on YOUR website!1st factor out the GCF (greatest common factor)
2nd use the formula for factoring the sum of two cubes 
:
2 is the GCF, so factor out a 2:
Recognize that the stuff in the parenthsis is the sum of cubes.
 a=2 and b=xy, plug into the formula and you have:
Happy Calculating!!!!
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Number-Line/54483: you know how the arrow is pointing greater or less in a problem can you see the way the line on the number line can go by the way the arrow is pointing ?
and if any chance can you give me worksheets thanks
1 solutions
Answer 36739 by funmath(2925) on 2006-10-03 17:17:20 (Show Source):
You can put this solution on YOUR website!If the variable is on left once you've simplified, you shade in the direction that the arrow is pointing.
:
x<3
<<=======)------->
-1,0,1,2,3,4,5,6,7
:
x>3
<--------(=======>>
-1,0,1,2,3,4,5,6,7
;
I don't have any e-worksheets, sorry.
Happy Calculating!!!
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Graphs/54328: This question is from textbook Algebra 1 CONCEPTS AND SKILLS
x-2y=4
1 solutions
Answer 36738 by funmath(2925) on 2006-10-03 17:04:41 (Show Source):
You can put this solution on YOUR website!Because this line is in standard form:  , it's easiest to graph it by finding the x and y intercepts, plotting them, and connecting the dots.
x-2y=4
Let x=0 and solve fot y in order to find the y intercept.
0-2y=4
-2y=4
-2y/-2=4/-2
y=-2
Plot (0,-2)
Let y=0 and solve for x to find the x intercept.
x-2(0)=4
x-0=4
x=4
Plot (4,0)
Connect the dots and you should have a line that looks like:
Happy Calculating!!!
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percentage/54447: One day, the temperature at 2:00 A.M. was 43°F, and by 3:00 P.M. the temperature was 56°F. What was the hourly rate of temperature change?
2°F/h This is the answer I got but it seems wrong can you help?
1 solutions
Answer 36708 by funmath(2925) on 2006-10-03 11:58:56 (Show Source):
You can put this solution on YOUR website!This one is tricky because of the time change:
Rate=the change in Temperature/change in time
The change in temperature is: 56°F-43°F=13°F
The change in time is the hard part, it might help to think of 2AM as being the 2nd hour of the day and 3PM as being the 15th hour of the day. Then the change in time=15h-2h=13h.
Therefore, the rate of temeperature change is=13°F/13h=1°F/h
Happy Calculating!!!
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Inverses/54450: what is the easierest way to study math or pre algebra?
1 solutions
Answer 36703 by funmath(2925) on 2006-10-03 11:39:49 (Show Source):
You can put this solution on YOUR website!There really is no "easy" way. But here are some tips:
1. Go to all your classes.
2. Take notes and be an active participant in the class (ask questions, do the examples with the teacher, ect.)
3. Be neat and organized it reduces the confusion.
4. Write all the steps down and the reason you took the steps when you review your notes.
5. Practice Practice Practice. Math is a skill like playing a video game or playing a sport or even knitting. At first it is hard, but it gets easier with practice. Do all of your homework. After, you get good at it, you may even start to enjoy it.
6. Write all the rules and formulas in the front of your notebook and review them a couple of times a week. Math is cummulative, if you don't get Pre-Algebra, you won't get algebra. Everything builds on itself.
7. Do what you're doing right now---get help when you need it either from school, home, or the internet.
Happy Calculating!!!
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Polynomials-and-rational-expressions/54426: I am having a hard time dividing this rational expression: PLEASE HELP!
6p-18 over 9p divided by 3p-9 over p^2+2p
Thanks in advance!
ac
1 solutions
Answer 36701 by funmath(2925) on 2006-10-03 11:07:54 (Show Source):
You can put this solution on YOUR website!When dividing fractions, flip the fraction after the division symbol and multiply.
 divided by  becomes:
 Now factor the numerators and denoominators of both fractions:
 Now cancel everything that matches top to bottom:
 Multiply what's left.
Happy Calculating!!!
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Linear-systems/54432: I do not understand how to solve this, please help.
Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
x + 5y = 10 and -2x – 10y = -20
1 solutions
Answer 36699 by funmath(2925) on 2006-10-03 10:48:00 (Show Source):
You can put this solution on YOUR website!L1) x+5y=10
L2)-2x-10y=-20
--------------Multiply L1 by 2 so that if we add the two equations we eliminate the x's.
L1)2(x+5y)=2(10)------>2x+10y=20
---------------Add L1+L2
2x+10y=20
-2x-10y=-20
____________
0x+0y=0
0=0
This system is  because we can't solve it and 0 does = 0. This has an infinite number of solutions, no matter what we put in for their x's their y's will always =. Graphically, it looks like the same exact line.
Happy Calculating!!!
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Geometry_proofs/54442: A man has a square garden area with a sidewalk 2 feet wide all around it. If the area of the sidewalk plus garden is 196 square feet, what are the dimensions of the garden area?
1 solutions
Answer 36697 by funmath(2925) on 2006-10-03 10:36:19 (Show Source):
You can put this solution on YOUR website!First notice that they said that the garden was a square. That tells us that all of the sides are equal. The area of a square is 
Let the side of the garden =x
If you were to draw a square with a bigger square extended 2 feet around it, you would see that the bigger square has sides that look like this:
2ft------x-------2ft, so s=2+x+2=x+4 is the side of the bigger square.
The area of the garden and the sidewalk can be found by finding the area of the big square, they told us that was: 196
Your problem to solve is:
+ or -  (We can ignore the  because that would give you a - dimension.)
x was the side of the garden, so the dimensions of the garden would be: 
Happy Calculating!!!
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Linear-equations/54439: 9x+14=41
3x-4=11
1 solutions
Answer 36690 by funmath(2925) on 2006-10-03 10:03:55 (Show Source):
You can put this solution on YOUR website!We need to get x all by itself on one side of the = sign within the rules of algebra. Whatever you do to one side of the equal sign, you have to do to the other.
9x+14=41 (14 doesn't have an x, so we need to move it. It's being added, so subtract it from both sides of the equal sign.)
9x+14-14=41-14
9x+0=27
9x=27 (x is being multiplied by 9, so we divide 9 on both sides.
9x/9=27/9
1x=3
Check by substituting x=3 back into the original equation to see if both sides equal.
9(3)+14=41
27+14=41
41=41 We're right!!!!
:
3x-4=11 (4 doesn't have an x so we add it to both sides of the equal sign.)
3x-4+4=11+4
3x+0=15
3x=15 (x is being multiplied by 3, so divide both sides of the equation by 3.)
3x/3=15/3
1x=5
Check you answer by substituting x=5 into the original equation and see if both sides equal.
3(5)-4=11
15-4=11
11=11 Right again!!!
Happy Calculating!!!
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Linear-systems/54435: Please help. I don't understand this.
Solve the following system by substitution. If a unique solution does not exist, state whether the system is inconsistent or dependent. 4x – 12y = 5 and -x + 3y = -1
1 solutions
Answer 36686 by funmath(2925) on 2006-10-03 07:07:15 (Show Source):
You can put this solution on YOUR website!L1) 4x-12y=5
L2) -x+3y=-1
---------
Solve L2) for x because that's the easiest one in which to isolate a variable.
-x+3y=-1
-x+3y-3y=-3y-1
-x=-3y-1
-(-x)=-(-3y-1)
x=3y+1
Substitute this value for x in L1) and solve for y.
4(3y+1)-12y=5
12y+4-12y=5
(12-12)y+4=5
0+4=5
4=5
We can't solve for y and 4 does not = 5, so this system is:  . It has no solution because the lines have no points in common. Graphically, they would be parallel lines that never intersect.
If we got something that could not be solved for y but was true like 0=0 that would be dependent.
Happy Calculating!!!
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Coordinate-system/54386: This question is from textbook Beginning Algebra
Can someone help me on this problem I need to find the slope of the lines graphed.
Hope you will be able to pull up the problem from the above information.
Thanks,
Ashley
1 solutions
Answer 36682 by funmath(2925) on 2006-10-02 23:40:08 (Show Source):
You can put this solution on YOUR website!Most tutors don't have your book. Slope = rise/run. Pick a point on the graph then go up or down + if up and - if down (rise)so many units then go right (run) until you touch the line again.
slope=m=rise/run
Hope that helps!
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Graphs/54388: This question is from textbook College Algebra
Write the standard from of the equation and the general form of the equation of each circle of radius r and center (h,k);graph each circle.
The problem says: r=4; (h,k)=(2,-3)
1 solutions
Answer 36640 by funmath(2925) on 2006-10-02 21:12:38 (Show Source):
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Equations/54284: A manufacturer maintains a supply of a key part used in the production of their product by purchasing the part form two different suppliers-A and B because this is a key component and they want to maintain a good relationshop with both suppliers, the warehouse inventory is monitored regularly. Currently there are 854 units part in the warehouse of which there are 472 more from supplier A than there are from supplier B. How many in the warehouse are from supplier B?
1 solutions
Answer 36633 by funmath(2925) on 2006-10-02 20:53:47 (Show Source):
You can put this solution on YOUR website!Units from B=x
Units from A=x+472
Total number of units=854
Problem to solve:
x+(x+472)=854
2x+472=854
2x+472-472=854-472
2x=382
2x/2=382/2
x=191
The units from B: 
You didn't ask, but
The Units from A:x+472=191+472=663
Happy Calculating!!!
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Linear-equations/54385: Can someone help me work out this problem?
I need to graph the following equation
y = 3/4x + 2
You have a graph from the top in the middle is y on the line going through the middle and on the right side is the x
Can you graph this problem?
Thanks, Ashley
1 solutions
Answer 36629 by funmath(2925) on 2006-10-02 19:41:20 (Show Source):
You can put this solution on YOUR website!This equation is in slope intercept  where m=slope=  and (0,b)=y-intercept (where the line crosses the y-axis).
 has a y-intercept (0,b)=(0,2) and slope=m=3/4.
Plot (0,2) from that point use your slope m=3/4 and rise up 3 and run right 4. Plot your second point there. (It should be (4,4) if you did it right.)
Connect the dots and you have a graph that looks like:
Happy Calculating!!!
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