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Recent problems solved by 'tran3209'

tran3209 answered: 100 problems
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Linear-systems/176008: Solve the system by substitution.
y=2x+4
y=-1/2x+3/2
1 solutions

Answer 131119 by tran3209(100) on 2009-01-11 13:37:15 (Show Source):

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2x+%2B4+=+%28-x%2B3%29%2F2

multiply both sides by 2
5x+=+-5+

add x to both sides and subtract both sides by 8
x+=+-1

Inequalities/175984: This question is from textbook Algebra I
hi could u help me with this problem please...im searching for x
3x-10< 9
1 solutions

Answer 131114 by tran3209(100) on 2009-01-11 13:29:49 (Show Source):

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3x-10+%3C9

Linear-equations/175987: This question is from textbook
Solve the equation: -8.2n= -42
1 solutions

Answer 131112 by tran3209(100) on 2009-01-11 13:26:38 (Show Source):

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-8.2n+=+-42+

divide both sides by -8.2
n+=+5.122

Linear-systems/175994: Find the values of x and y that solve the following system of equations.
-7x+9y=-12
-6x+5y=6
1 solutions

Answer 131110 by tran3209(100) on 2009-01-11 13:22:47 (Show Source):

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7x+%2B9y+=+-12+

Linear-systems/175991: Find the values of x and y that solve the following system of equations.
-5x+3y=8
-9x+5y=14
1 solutions

Answer 131106 by tran3209(100) on 2009-01-11 13:08:33 (Show Source):

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First Step.
-Isolate one variable for either equation.
-5x%2B3y=8

add 5x to both sides
y=%285x%2B8%29%2F3

divide both sides by 3
Second Step.
-Plug in isolated variable into second equation.
-9x+%2B+5%285x%2B8%29%2F3+=+14

"foil" or multiply the second term
%28-27x%2B25x%2B40%29%2F3=14+

use common denomenator of 3. multiply -9x%2A3

combine like terms and simplify
-2x%2B40=42

subtract 40 from both sides
-2x+=+2

divide both sides by -2 and simplify
x+=+1+

Complex_Numbers/71550: Write the expressions as a complex number in standard form
a) 4i(6-i)
b) (5+i)(8+i)
c) (2-9i)(9-6i)
d) (3+10i)^2
1 solutions

Answer 52431 by tran3209(100) on 2007-03-04 17:09:27 (Show Source):

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a. +4i%286-i%29+

Complex_Numbers/71507: My question is to solve the equation ------7 over negative 2i
1 solutions

Answer 51980 by tran3209(100) on 2007-02-28 18:26:22 (Show Source):

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+%287%2F-2i%29+x+%282i%2F2i%29+

Proportions/19935: a fly wheel has 72 teeth and a starter drivegear has 15 teeth. Find the ratio of fly wheel teeth to drive gear teeth.
1 solutions

Answer 46624 by tran3209(100) on 2007-01-01 17:40:33 (Show Source):

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72 Fly Wheel Teeth
15 Drive Gear Teeth
72:15 or 72/15
Simplify by 3
24/5
The ratio of fly wheel teeth to drive gear teeth is 24: 5

Proportions/25975: 4 pencils and 2 pens cost $1.08 6 pencils and 5 pens cost $2.22 find the cost of each pen and pencil

1 solutions

Answer 46623 by tran3209(100) on 2007-01-01 17:33:53 (Show Source):

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First you can find the cost of each pen using the given information: 5 pens cost $2.22.
+2.22%2F5+

So now we know each pen cost $0.44.
Now since they purchased 4 pencils and 2 pens and recieved a total of $1.08, we will find the cost of each pencil.
Suppose the cost of pencils is "x".
+4x+%2B+2%280.44%29+=+1.08+

The 2(0.44) is the cost of 2 pens @ $0.44 each.
+4x+%2B+0.88+=+1.08+

<---- Subtract 0.88 from each side.
+x+=+0.05+

The Answer: (1) Pen cost $0.88
(1) Pencil cost $0.05

Equations/61355: 3/4n + 5 = 2/5n
1 solutions

Answer 43478 by tran3209(100) on 2006-11-24 15:17:48 (Show Source):

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+3n%2F4+%2B+5+=+2n%2F5+

<-- Multiply each side by 5
+15n+=+2n+-25+

<-- Subtract 25 from both sides
+13n+=+-25+

<-- Subtract 2n from both sides
+n+=+-25%2F13+

<-- Divide each side by 13

logarithm/36009: I'm not sure how to write this problem as a single logarithm and simplify it, if possible.
3log5^2-2log5^3
1 solutions

Answer 27794 by tran3209(100) on 2006-06-18 21:14:00 (Show Source):

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3log5^2-2log5^3
log5^6-log5^6
log(5^6/5^6)
log1=0

logarithm/41643: 2log(x-5)=log9
1 solutions

Answer 27765 by tran3209(100) on 2006-06-18 20:02:37 (Show Source):

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2log(x-5)=log9
log(x-5)^2=log9
(x-5)^2=9
x^2-10x+25=9
x^2-10x+25-9=9-9
x^2-10x+16=0
(x-8)(x-2)=0
x-8=0--->x=8
x-2=0--->x=2
the answers are x=8 and x=2

Inequalities/42623: This question is from textbook Intermediate Algebra
Solve:
5[3(7-t)-4(8+2t)]-20 <= -6[2(6+3t)-4]
1 solutions

Answer 27764 by tran3209(100) on 2006-06-18 19:04:26 (Show Source):

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5%283%287-t%29-4%288%2B2t%29%29-20+%3C=+-6%282%286%2B3t%29-4%29

5%2821-3t%29-32-8t-20%3C=+-6%28%2812+%2B6t%29-4%29

105+-+15t+-32+-8t+-20+%3C=+-6%2812%2B6t-4%29

Equations/42643: problem 7 i need help on thank you ..

x/6 + 3 = 9
1 solutions

Answer 27748 by tran3209(100) on 2006-06-18 16:23:18 (Show Source):

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x/6 + 3 = 9
x/6 +3-3=9-3
x/6=6
(x/6) (6)=(6)(6)
X=36
The answer is x=36

Average/42650:

I got this wrong.. :(
1 solutions

Answer 27745 by tran3209(100) on 2006-06-18 16:17:08 (Show Source):

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X must be lesser than -4.
The answer is B

Equations/42652: Which label describes the following?
3x + 6 = 10
A) Linear equation B) Equation which is not linear C) Expression

Isn't it B!
1 solutions

Answer 27742 by tran3209(100) on 2006-06-18 16:13:38 (Show Source):

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3x+6=10
3x=10-6
3x=4
x=4/3
This is a linear equation of a line perpendicular to axis of x at the point (+4/3 0)
The answer is A

Linear-equations/42658: This question is from textbook INTERMEDIATE ALGEBRA
Factor completely:
9x2 – 36y2

1 solutions

Answer 27739 by tran3209(100) on 2006-06-18 16:07:22 (Show Source):

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9x^2-36y^2
9(x^2-4y^2)
9(x^2-2^2y^2)
9[x^2-(2y)^2] Apply the formula A^2-B^2 = (A+B)(A-B)
9(x+2y)(x-2y)

Equations/41540: I need to graph the following equation. y=3/4x+2
Please I need help badly. Thanks
1 solutions

Answer 27002 by tran3209(100) on 2006-06-12 19:17:41 (Show Source):

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First of all we need to pick a value for x.
X|Y
_____
0|2
4|5
If we suppose x is equal to 0 then the equation would look like:
y=%283%2F4%29%280%29%2B2

If we suppose x is equal to 4 then the equation would look like this:
y=%283%2F4%29%284%29%2B2

Now we have 2 points so we can draw the line.
graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%283%2F4%29x%2B2+%29

Equations/41651: Write the equasion of a line with slope -3 and Y intercept -7
1 solutions

Answer 26993 by tran3209(100) on 2006-06-12 16:46:04 (Show Source):

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Did you need the answer in slope intercept form?
The formula to write a line in slope intercept form is: y = mx + b
y=-3x-7

Equations/41598: 4x^5+10x^4-16x^2 divide by 4x^2
show work
1 solutions

Answer 26884 by tran3209(100) on 2006-06-10 22:22:36 (Show Source):

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4x^5+10x^4-16X^2/4X^2
2X^2(2X^3+5x^2-8)/4X^2 simplify by 2X^2
(2X^3+5X^2-8)/2

Equations/41456: division
4x^5+10x^4-16x divide by 4x^2
having problems please show work
1 solutions

Answer 26810 by tran3209(100) on 2006-06-10 06:58:59 (Show Source):

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4x^5+10x^4-16x/4x^2
2x(2x^4+5x^3-8)/4X^2 simplify by 2x
2x^4+5x^3-8/2x

Polynomials-and-rational-expressions/41474: (8y^2-2y-3) - (9y^2-7y-1)
show work
1 solutions

Answer 26809 by tran3209(100) on 2006-06-10 06:46:11 (Show Source):

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(8y^2-2y-3)-(9y^2-7y-1)
8y^2-2y-3-9y^2+7y+1
-y^2+5y-2

Equations/41487: This question is from textbook Algebra and Trigonometry with Analytic Geometry
Simplify the expression:
1/x-1/b over 1/xb+1/2
1 solutions

Answer 26808 by tran3209(100) on 2006-06-10 06:38:44 (Show Source):

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1/x-1/b over 1/xb+1/2
let simplify 1/x-1/b---> (1/x-1)(1/b)--->1/b(x-1)
let simplify 1/xb+1/2--->(1/xb+1)(1/2)--->1/2(xb+1)
let put them together and simplify :
1/b(x-1) over 1/2(xb+1)----> [1/b(x-1)][ 2(xb+1)/1]--->2(xb+1)/b(x-1)
The answer is 2(xb+1)/b(x-1)

Graphs/39419: Y=2x-3
Y=x2+3
Y=3x

1 solutions

Answer 26778 by tran3209(100) on 2006-06-09 20:55:16 (Show Source):

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y=2x+3
This is an equation of a line
We need to find 2 points to draw the line.
Find The y intercept and x intercept
if x is 0 y = 3
y=3 is the y intercept
if y is 0 x= -3/2
x=-3/2 is the x intercept
By joining the 2 points together you will find the line
y=x^2 + 3
This is an equation of a parabola.
y=ax^2+bx+c
Here a=1 b=0 c=3
a=1>0 the parabola opens upwards
The coordinates of the minimum point are
x=-b/2a = 0/2 =0
y(0)=0^2+3 y = 3
we need 2 more points to draw the parabola.
x=1 y=-4
x=-1 y = 4
Join the tree points together and you see the parabola
y=3x
This is the equation of a line that passes through the point O of the axis
y=ax
We need 1 more point to draw the line
x=1 y=3
Join point O and this point (x=1 y=3) we have the line.
graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+3x%2C+2x%2B3%2C+x%5E2%2B3+%29

graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+3x%2C+2x%2B3%2C+x%5E2%2B3+%29

Geometric_formulas/27160: Mount Everest is the tallest mountain in the world. It is 237 meters higher than K2the second talest mountain. If the sum of their heights is 17,459 meters
how tal is each mountain?
How do I write the formula for this?
1 solutions

Answer 26775 by tran3209(100) on 2006-06-09 19:47:35 (Show Source):

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Suppose that x is the height of K2
Then that makes Mt.Everest is x+237
Then you can put together a simple formula to solve for x
x+%2B+%28x%2B237%29+=+17%2C459