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Recent problems solved by 'sim9739'

sim9739 answered: 5 problems

Problems-with-consecutive-odd-even-integers/155563: This question is from textbook Integrated Algebra
Review Exercise
12)
write 0.45 in the form a over b, where a and b are integers and b dosnt equal zero
1 solutions

Answer 114580 by sim9739(5) on 2008-09-07 19:14:50 (Show Source):

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0.45
= 45/100
= 9 / 20 --> divide 45 by 5 and 100 by 5 to simply it
a = 9 and b = 20

Systems-of-equations/155556: please help me solve 1%2B2%2F%28b-1%29=2%2F%28b%5E2-b%29

. THANK YOU
1 solutions

Answer 114566 by sim9739(5) on 2008-09-07 18:42:13 (Show Source):

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1%2B2%2F%28b-1%29=2%2F%28b%5E2-b%29

%28%28b-1%29%2B2%29%2F%28b-1%29=2%2F%28b%5E2-b%29

%28b%2B1%29%2F%28b-1%29=2%2Fb%2A%28b-1%29

so b = 1 or b = -2,
But if b= 1, then the term 2%2F%28b-1%29

= 2/0 and it is not defined
Hence, b=-2

Triangles/155557: The sides of a triangle are in the ration 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the triangle is 15 in.?
1 solutions

Answer 114563 by sim9739(5) on 2008-09-07 18:35:44 (Show Source):

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as the ratio is 5:12:13,then we can let a variable n such that the triangle has the length of sides 5n, 12n and 13n,
15 = 5n+12n+13n
15 = 30n
thus, n = 0.5
so the length of each sides are 5*0.5, 12*0.5 and 13*0.5
they are 2.5, 6 and 6.5

logarithm/155526: 2log(x) - log(x^2) + log(2/x) + log(x)
I tried to simplify as far as I could and came to:
log2 (x) + log(x)
I just want to know if this is the correct answer? If so, can it be simplified anymore?
1 solutions

Answer 114545 by sim9739(5) on 2008-09-07 16:50:35 (Show Source):

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2log(x) - log(x^2) + log(2/x) + log(x)
= log(x^2) - log(x^2) + log(2/x) + log(x)
= log(x^2/x^2) + log(2/x * x)
= log 1 + log 2
= log 2

Expressions-with-variables/155532: In Algebra How do you solve this: -(2y+1)=8(y+2)-7
1 solutions

Answer 114544 by sim9739(5) on 2008-09-07 16:41:27 (Show Source):

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-(2y+1)=8(y+2)-7
-2y -1 = 8y +16 -7
moving all y term to left and constant term to right,
-2y-8y = 16-7+1
-10y = 10
y= -1

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Recent problems solved by 'sim9739'