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Proportions/704551: For a certain rectangle, the ratio of the shorter side to the longer side is 4 inches to 9 inches. How long is the shorter side, in feet, if the longer side is half a foot long?
1 solutions
Answer 434151 by jim_thompson5910(28595)   on 2013-01-21 17:53:09 (Show Source):
You can put this solution on YOUR website!4/9 = x/0.5
4*0.5 = 9x
2 = 9x
2/9 = x
x = 2/9
x = 0.222222
So the shorter side is 0.2222 ft or about 0.222*12 = 2.664 inches long.
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test/704540: The probability that a family has a dog is 1/5 . Out of a group of 15 families ... how many of them will likely have a dog.?
1 solutions
Answer 434149 by jim_thompson5910(28595) on 2013-01-21 17:45:41 (Show Source):
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Percentage-and-ratio-word-problems/704544: which is longer 6 3/4 or 6 3/8?
1 solutions
Answer 434148 by jim_thompson5910(28595) on 2013-01-21 17:45:03 (Show Source):
You can put this solution on YOUR website!3/4 = 6/8
so 6 3/4 is the same as 6 6/8
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So the two lengths 6 3/4 and 6 3/8
is really the two lengths 6 6/8 and 6 3/8
Since 6/8 > 3/8 (6 is greater than 3), we can say that 6 6/8 is larger.
Therefore, the first length, 6 3/4 is larger.
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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Equations/704546: If 9(x-9)=-11 then x= ?
1 solutions
Answer 434147 by jim_thompson5910(28595) on 2013-01-21 17:43:09 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Distribute.
 Add  to both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
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Answer:
So the solution is 
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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Rational-functions/704533: help... im doing an algebra course and i find myself totally lost..this is an example in my text.
2x + y =4
x - 3y =-5
the solution given is (1,2)
using the graphing method
step 1 says on a single set of coordinate axes, graph each equation.
and that right there is my problem.. i dont know how to graph them..a detailed working and explanation that i can use fr future reference will be highly appreciated.. thank you
1 solutions
Answer 434144 by jim_thompson5910(28595) on 2013-01-21 17:18:00 (Show Source):
You can put this solution on YOUR website!I'll show you how to graph 2x+y = 4
First solve for y
2x+y = 4
y = 4 - 2x
y = -2x + 4
Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is 
Since this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1
So starting at , go down 2 units
and to the right 1 unit to get to the next point )
Now draw a line through these points to graph
 So this is the graph of through the points and
You follow the sames steps to graph x - 3y = -5
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Number-Line/704529: If kids reported a fav. topic of movie they liked and an action movie was 68 percent if 100 students answered the question how many of them chose action?
1 solutions
Answer 434141 by jim_thompson5910(28595) on 2013-01-21 17:14:00 (Show Source):
You can put this solution on YOUR website!68 percent of 100 is exactly 68 because percentages are based off of 100. So 68 students (out of a 100) chose action.
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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Equations/704528: how do you solve the equation -6x + 13 = 2x - 11
1 solutions
Answer 434140 by jim_thompson5910(28595) on 2013-01-21 16:55:57 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Subtract  from both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate .
 Reduce.
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Answer:
So the solution is
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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Word_Problems_With_Coins/704521: My daughter got a multiplication worksheet home tonight but the last question was
* How many quarters are there in 39?
This has confused her but I think the answer is 4?
1 solutions
Answer 434138 by jim_thompson5910(28595) on 2013-01-21 16:50:40 (Show Source):
You can put this solution on YOUR website!There are 4 quarters in the number 1 (ie break up the number 1 into 4 pieces to get 0.25 each)
So there are 39*4 = 156 quarters in 39.
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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Trigonometry-basics/704519: This is a right triangle trigonometry problem.
1. A playground is built in the shape of a regular hexagon. If one
side measures 40 meters, what is the area covered by the playground?
1 solutions
Answer 434136 by jim_thompson5910(28595) on 2013-01-21 16:47:10 (Show Source):
You can put this solution on YOUR website!The hexagon can be broken up into 6 equal equilateral triangles
Each equilateral triangle can be broken further into two right triangles with legs 20 (40/2 = 20) and 20*sqrt(3). The area of each right triangle is
A = b*h/2
A = 20*20*sqrt(3)/2
A = 200*sqrt(3)
Now multiply this by 2 (since there are 2 right triangles) to get 400*sqrt(3). Then multiply this by 6 since there are 6 congruent equilateral triangles.
6*400*sqrt(3) = 2400*sqrt(3)
So the answer is 2400*sqrt(3) square meters.
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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Equations/704517: 7b-5=44
1 solutions
Answer 434134 by jim_thompson5910(28595) on 2013-01-21 16:38:47 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Add  to both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
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Answer:
So the solution is
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If you need more help, you can email me at jim_thompson5910@hotmail.com
To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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real-numbers/704514: Find the value of K such that 2x^2-3x+k has each solution set.
A. Two real number solutions
B.one real number solution
C.no real number solution
1 solutions
Answer 434132 by jim_thompson5910(28595) on 2013-01-21 16:30:53 (Show Source):
You can put this solution on YOUR website!Hint:
D = b^2 - 4ac is the discriminant
If D = 0, then you have exactly one real solution
If D < 0, then you have no real solutions.
If D > 0, then you have two distinct real solutions.
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Permutations/704507: how many ways can 3 kids be selected from 12?
1 solutions
Answer 434118 by jim_thompson5910(28595) on 2013-01-21 16:07:05 (Show Source):
You can put this solution on YOUR website!There are 12 ways to choose the first kid
There are 12-1 = 11 ways to choose the next kid (assuming the first kid can't be placed back in the mix and potentially chosen again)
There are 12-2 = 10 ways to choose the third kid.
So there are 12*11*10 = 1320 different ways to choose 3 kids where order matters.
If order does not matter, then you'll have to divide by 6 because there are 3! = 6 ways to arrange any particular group. So if order does not matter, then there are 1320/6 = 220 different ways.
Summary:
If order does matter, then there are 1320 different ways
If order does NOT matter, then there are 220 different ways
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Jim
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Geometry_proofs/704504: How do you solve this false proof and what is the mistake in the proof?
a=1,b=1
a=b
a2=ab
a2+a2=a2+ab
2a2=a2+ab
2a2-2ab=a2-ab
2(a2-ab)= 1(a2-ab)
2=1
1 solutions
Answer 434116 by jim_thompson5910(28595) on 2013-01-21 15:58:45 (Show Source):
You can put this solution on YOUR website!You let/force a = b.
So because a = b, this means that
a^2 - ab
b^2 - b*b ... plug in a = b (ie replace all copies of 'a' with 'b')
b^2 - b^2
0
So if a = b, then a^2 - ab is equal to 0.
When you jump from 2(a^2-ab)= 1(a^2-ab) to 2 = 1 in the last two lines, you are dividing both sides by a^2-ab. But if a = b, then a^2-ab = 0, which means you're dividing both sides by zero...which is undefined.
So the last step is NOT a valid algebraic move because you can't divide by zero.
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Jim
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Sequences-and-series/704503: an=9n, starting with n=1
1 solutions
Answer 434115 by jim_thompson5910(28595) on 2013-01-21 15:55:29 (Show Source):
You can put this solution on YOUR website!an=9n starting with n = 1 generates the sequence
9, 18, 27, 36, 45, 54, ...
basically the multiples of 9
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an = 9^n starting with n = 1 generates the sequence
9, 81, 729, 6561, ...
which are the powers of 9
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Jim
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Sequences-and-series/704501: What is the next two numbers in this sequence, 4,9,7,14,10,19,13,24,16,29
1 solutions
Answer 434114 by jim_thompson5910(28595) on 2013-01-21 15:52:15 (Show Source):
You can put this solution on YOUR website!Look at the odd numbered terms (in red)
4,9, 7,14, 10,19, 13,24, 16,29
Going from 4, to 7, to 10, etc tells us we're adding 3 to each term. This is because 4+3 = 7, 7+3 = 10, etc.
So part of the rule is this: if n is an odd number, then you use the rule: an = 3n+1 where n starts at n = 1. This rule only works if n is odd though.
If n is even, then we have this sequence (look at the above sequence, but instead of the red terms, focus on the black terms): 9, 14, 19, 24, 29
Now we're adding 5 to each term. So the rule is: if n is even, then use the formula an = 5n+4
So in the end, we have this rule
If n is odd, use the formula an = 3n+1, where n starts at n = 1
If n is even, use the formula an = 5n+4, where n starts at n = 2
That completes the entire sequence because any number is either even or odd.
The next term would be odd, so use the odd formula: 3n+1 = 3(6)+1 = 19. So the next term after 29 is 19
The term after that is even, so use 5n+4 = 5(6)+4 = 34.
So the next two terms are: 19 and 34
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Jim
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test/704499: I have a 7th grader who is struggling with math. We need help and don't have the finances for a tutor right now. Any help you could offer would be great. Thanks for your time
1 solutions
Answer 434113 by jim_thompson5910(28595) on 2013-01-21 15:45:24 (Show Source):
You can put this solution on YOUR website!Go ahead and post any problems you have. Anything done on this site is 100% free. Anything you set up with a private tutor would then be negotiated (ie s/he may still continue to do it for free or may charge a small price, it will be between you and the tutor)
But regardless, anything on this site is 100% free.
I can help you out for free, but I cannot do all of it for free.
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Thanks,
Jim
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Mixture_Word_Problems/704500: If solution A contains 30% salt and solution B contains 80% salt,a mixture needs 80 ounces that need to contain 65% salt, how much ounces would A and B both need each?
1 solutions
Answer 434112 by jim_thompson5910(28595) on 2013-01-21 15:42:47 (Show Source):
You can put this solution on YOUR website!Hint:
Translate the given statements/info into these equations
x+y = 80
0.3x+0.8y = 80*0.65
Solve the first equation for y to get y = 80 -x
Then plug this into the second equation to get
0.3x+0.8y = 80*0.65
0.3x+0.8(80 - x) = 80*0.65
Solve that for x, then use the solution for x to find the solution for y.
I'll let you do this. If you want to check the answers with me or if you still need help, see my email below. Thanks.
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Thanks,
Jim
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Quadratic_Equations/704498: five times the quare of a number is 980. What is the number?
i used x^2 + 5x -980
a=1 b=5 c=-980
1 solutions
Answer 434110 by jim_thompson5910(28595) on 2013-01-21 15:39:43 (Show Source):
You can put this solution on YOUR website!"five times the quare of a number is 980"
translates to
5x^2 = 980
Solve for x
5x^2 = 980
x^2 = 980/5
x^2 = 196
x = sqrt(196) or x = -sqrt(196)
x = 14 or x = -14
Therefore, the number is either 14 or -14.
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Jim
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Quadratic_Equations/704495: The unemployment rate is 8.6 % convert rate to a demical then to a reduce fraction, there are 390,000 people look for work but with this rate how many would be unemployed.
1 solutions
Answer 434107 by jim_thompson5910(28595) on 2013-01-21 15:33:17 (Show Source):
You can put this solution on YOUR website!8.6 % = 8.6/100
8.6 % = 0.086
Multiply this decimal value by 390,000 to get
390,000*0.086 = 33,540
Therefore, 33,540 people would be unemployed.
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Jim
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Exponents/704482: what is 3,420,000,000 in scientific notation ?
1 solutions
Answer 434101 by jim_thompson5910(28595) on 2013-01-21 15:22:58 (Show Source):
You can put this solution on YOUR website!Place the decimal between the first two digits 3 and 4, then drop all the zeros off to get 3.42
Now move the decimal 9 spots to the right to get the number 3,420,000,000 again
Since you had to move 9 spots to the right, this means that the exponent is 9
Therefore, 
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Thanks,
Jim
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