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Linear-equations/526681: I hope I chose the correct category for this problem:
5x-4y=8 , for y
I Tried to solve and came up with y=-2-5x which doesn't seem right.
I need step-by-step solution by 11/6/11 for homework assignment.
Thank you.
1 solutions

Answer 348639 by jim_thompson5910(28707) About Me  on 2011-11-05 19:48:31 (Show Source):
You can put this solution on YOUR website!

5x-4y=8 Start with the given equation.


-4y=8-5x Subtract 5x from both sides.


-4y=-5x%2B8 Rearrange the terms.


y=%28-5x%2B8%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=%28%28-5%29%2F%28-4%29%29x%2B%288%29%2F%28-4%29 Break up the fraction.


y=%285%2F4%29x-2 Reduce.


So the equation y=%285%2F4%29x-2 is now in slope intercept form y=mx%2Bb where the slope is m=5%2F4 and the y-intercept is b=-2 note: the y-intercept is the point


Volume/526680: v + 4 = |-15|.
1 solutions

Answer 348637 by jim_thompson5910(28707) About Me  on 2011-11-05 19:46:26 (Show Source):
You can put this solution on YOUR website!
v + 4 = |-15|

v + 4 = 15

v = 15-4

v = 11


Inequalities/526677: I'm trying to solve, using addition and multiplication principles.
Problem: 3/4(3x-1/2)-2/3<1/3
Calculator gave answer: x<11/18
I don't know the steps to arrive at this answer, and must show my work for homework assignment due 11/6/11. Can you assist me with the process?
1 solutions

Answer 348633 by jim_thompson5910(28707) About Me  on 2011-11-05 19:40:25 (Show Source):
You can put this solution on YOUR website!

%283%2F4%29%283x-1%2F2%29-2%2F3%3C1%2F3 Start with the given inequality.


%289%2F4%29x-3%2F8-2%2F3%3C1%2F3 Distribute.


Multiply EVERY term by the LCD 24 to clear out the fractions.


54x-9-16%3C8 Multiply and simplify.


54x-25%3C8 Combine like terms on the left side.


54x%3C8%2B25 Add 25 to both sides.


54x%3C33 Combine like terms on the right side.


x%3C%2833%29%2F%2854%29 Divide both sides by 54 to isolate x.


x%3C11%2F18 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x%3C11%2F18

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim


Geometry_proofs/526665: Can someone explain in steps how you would do this proof ?
This is ridiciulous everyone in my class understands it , and I don't get it.
http://www.flickr.com/photos/68627030@N06/6316210261/in/photostream
1 solutions

Answer 348616 by jim_thompson5910(28707) About Me  on 2011-11-05 19:14:33 (Show Source):
You can put this solution on YOUR website!
Here are the following reasons (that are missing from the given ones)


b. Interiors on Same Side Theorem **

c. Definition of Supplementary Angles

e. Definition of Congruent Angles

g. Definition of Supplementary Angles

h. Converse of Interiors on Same Side Theorem **

** Note: The Interiors on Same Side Theorem states that "If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary."


The basic idea here is to use the fact that PV is parallel to QM to show that angles 1 and 2 are supplementary (ie they add to 180 degrees). From there, you use substitution to show that angles 2 and 3 are also supplementary. Then you reverse the logical steps used beforehand to show that because angles 2 and 3 are supplementary, this means that LT must be parallel to MV.


test/526654: 8^x = 1024
1 solutions

Answer 348604 by jim_thompson5910(28707) About Me  on 2011-11-05 18:48:58 (Show Source):
You can put this solution on YOUR website!

8^x = 1024

(2^3)^x = 2^(10)

2^(3x) = 2^(10)


Since the bases are equal, the exponents are equal


3x = 10

x = 10/3


Average/526647: i took a 45 question test and missed 5 what is my score

1 solutions

Answer 348587 by jim_thompson5910(28707) About Me  on 2011-11-05 17:48:14 (Show Source):
You can put this solution on YOUR website!
You got 45-5 = 40 questions correct out of 45

So your score as a percentage is


[(number correct)/(number total)] * 100 = (40/45)*100 = 0.889*100 = 88.9%


So you got an 88.9%


Word_Problems_With_Coins/526645: 19 quarters to 5 dollaras lowest tems

1 solutions

Answer 348586 by jim_thompson5910(28707) About Me  on 2011-11-05 17:42:20 (Show Source):
You can put this solution on YOUR website!
4 quarters = 1 dollar

Multiply both sides by 5 to get

20 quarters = 5 dollars


So 5 dollars = 20 quarters


This means that the ratio

19 quarters: 5 dollars

translates to

19 quarters: 20 quarters

which reduces to

19:20


Miscellaneous_Word_Problems/526643: Help me please! 7%2F8+%2B+2a%2F12+=+3a%2F4+%2B+1%2F3 I will be very grateful f you would help me. I am solving for the variable. Th variable is "A". THANKYOU!
1 solutions

Answer 348585 by jim_thompson5910(28707) About Me  on 2011-11-05 17:35:07 (Show Source):
You can put this solution on YOUR website!
7%2F8%2B2a%2F12=3a%2F4%2B1%2F3 Start with the given equation.


24%287%2Fcross%288%29%2B2a%2Fcross%2812%29%29=24%283a%2Fcross%284%29%2B1%2Fcross%283%29%29 Multiply both sides by the LCD 24 to clear any fractions.


21%2B4a=18a%2B8 Distribute and multiply.


4a=18a%2B8-21 Subtract 21 from both sides.


4a-18a=8-21 Subtract 18a from both sides.


-14a=8-21 Combine like terms on the left side.


-14a=-13 Combine like terms on the right side.


a=%28-13%29%2F%28-14%29 Divide both sides by -14 to isolate a.


a=13%2F14 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is a=13%2F14

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim


Quadratic_Equations/526633: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The solutions are -6,4.
1 solutions

Answer 348584 by jim_thompson5910(28707) About Me  on 2011-11-05 17:14:55 (Show Source):
You can put this solution on YOUR website!
x=-6 or x=4 Start with the given solutions.


x%2B6=0 or x-4=0 Get everything to one side so that only 0 remains on the right side (for both equations).


%28x%2B6%29%28x-4%29=0 Use the zero product property to combine the equations.


x%5E2%2B2x-24=0 FOIL out the left side.


So the answer is x%5E2%2B2x-24=0


To check your work, simply solve x%5E2%2B2x-24=0 for x. Doing so will show you that the solutions are x=-6 or x=4, which confirm the answer.


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim


Permutations/526626: what is the actual space of all the non black face cards in a regular deck of cards?
1 solutions

Answer 348582 by jim_thompson5910(28707) About Me  on 2011-11-05 16:54:33 (Show Source):
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A non-black face card is a red face card (since there are only two colors: red and black)


There are 3 face cards in each suit (J, Q, K)

There are 2 red suits (Hearts, Diamonds)


So there are 3*2 = 6 red face cards


Which means that there are 6 non-black face cards.


Graphs/526623: Find an equation of the line having the given slope and containing the given point.
m=8/9,(5,-5).. I can solve this problem up to the last step where i need help! Here is how I am solving it.
Substitute values for m,x1,, and y1 into the point slope equation.
y-(-5)=(8/9)(x-5)
=y-(-5)=8/9x - 40/9..
(here is where i get stuck)
*finaly subtract 5 from both sides*
y=8/9x-85/9
how do I get 85/9 as an answe when i subtract 5 from both sides i get 35/9
1 solutions

Answer 348581 by jim_thompson5910(28707) About Me  on 2011-11-05 16:44:18 (Show Source):


Angles/526621: The Supplement of an angle is 20 less than 3 times the complement. Find the measure of the angle. PLEASE HELP
1 solutions

Answer 348580 by jim_thompson5910(28707) About Me  on 2011-11-05 16:41:24 (Show Source):
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"The Supplement of an angle is 20 less than 3 times the complement." means that 180-x=3%2890-x%29-20 where 'x' is the given angle.

180-x=3%2890-x%29-20 Start with the given equation.


180-x=270-3x-20 Distribute.


180-x=-3x%2B250 Combine like terms on the right side.


-x=-3x%2B250-180 Subtract 180 from both sides.


-x%2B3x=250-180 Add 3x to both sides.


2x=250-180 Combine like terms on the left side.


2x=70 Combine like terms on the right side.


x=%2870%29%2F%282%29 Divide both sides by 2 to isolate x.


x=35 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=35

This means that the given angle is 35 degrees.


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Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

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Equations/526620: So I have the equation (1+I)^.0798-1 and I need to figure out the value of I...how do I reformat the equation to be able to figure out I??
1 solutions

Answer 348579 by jim_thompson5910(28707) About Me  on 2011-11-05 16:34:15 (Show Source):
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There is no equal sign present, so this isn't an equation. This means that you cannot solve for I.


Miscellaneous_Word_Problems/526618: a taxi begins a fare with inital charge of $2 on the meter and charges 20 cents per one-tenth a mile. how much will a 10-mile journey cost?
1 solutions

Answer 348577 by jim_thompson5910(28707) About Me  on 2011-11-05 16:24:16 (Show Source):
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If it's 20 cents per one-tenth of a mile, then it's 200 cents per mile (multiply both quantities by 10)

So it's really $2 per mile.

So if you drive x miles, then the variable cost is 2x dollars.

Add this to the fixed cost to get 2x+2

So the total fare for driving x miles is 2x+2 dollars.

This means that the cost equation is

c = 2x+2

Now if you drive 10 miles, then x = 10 and

c = 2x+2

c = 2(10)+2

c = 20+2

c = 22

which means that a 10 mile journey will cost 22 dollars.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim


Rational-functions/526461: 4-5(7x-3)
1 solutions

Answer 348527 by jim_thompson5910(28707) About Me  on 2011-11-05 03:43:03 (Show Source):
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4-5(7x-3)

4-5(7x)-5(-3)

4-35x+15

-35x+19

So 4-5(7x-3) = -35x+19


Polynomials-and-rational-expressions/526396: simply (8^2)^1

1 solutions

Answer 348482 by jim_thompson5910(28707) About Me  on 2011-11-04 21:00:02 (Show Source):
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(8^2)^1

8^(2*1)

8^2

64

So (8^2)^1 = 64



Distributive-associative-commutative-properties/526391: How do you solve for 6x^3=3x^2+3x

1 solutions

Answer 348477 by jim_thompson5910(28707) About Me  on 2011-11-04 20:34:11 (Show Source):
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6x^3=3x^2+3x

6x^3-3x^2-3x=0

3x(2x^2-x-1)=0

3x(x-1)(2x+1)=0

3x=0 or x-1=0 or 2x+1=0

3x=0 or x=1 or 2x=-1

x=0/3 or x=1 or x=-1/2

x=0 or x=1 or x=-1/2



Equations/526292: x^2-6x+5=0
1 solutions

Answer 348475 by jim_thompson5910(28707) About Me  on 2011-11-04 20:29:27 (Show Source):
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x%5E2-6x%2B5=0 Start with the given equation.


Notice that the quadratic x%5E2-6x%2B5 is in the form of Ax%5E2%2BBx%2BC where A=1, B=-6, and C=5


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-6, and C=5


x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29 Negate -6 to get 6.


x+=+%286+%2B-+sqrt%28+36-4%281%29%285%29+%29%29%2F%282%281%29%29 Square -6 to get 36.


x+=+%286+%2B-+sqrt%28+36-20+%29%29%2F%282%281%29%29 Multiply 4%281%29%285%29 to get 20


x+=+%286+%2B-+sqrt%28+16+%29%29%2F%282%281%29%29 Subtract 20 from 36 to get 16


x+=+%286+%2B-+sqrt%28+16+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%286+%2B-+4%29%2F%282%29 Take the square root of 16 to get 4.


x+=+%286+%2B+4%29%2F%282%29 or x+=+%286+-+4%29%2F%282%29 Break up the expression.


x+=+%2810%29%2F%282%29 or x+=++%282%29%2F%282%29 Combine like terms.


x+=+5 or x+=+1 Simplify.


So the solutions are x+=+5 or x+=+1



Probability-and-statistics/526387: 9-2g< -7
1 solutions

Answer 348473 by jim_thompson5910(28707) About Me  on 2011-11-04 20:16:57 (Show Source):


Probability-and-statistics/526386: -11<_ 1 + 3n
1 solutions

Answer 348472 by jim_thompson5910(28707) About Me  on 2011-11-04 20:15:17 (Show Source):


Surface-area/526384: The perimeter of an equilateral triangle is 96 centimetres.
What is the length of one side?
1 solutions

Answer 348466 by jim_thompson5910(28707) About Me  on 2011-11-04 20:08:41 (Show Source):
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The length of one side is 96/3 = 32 centimeters.


Volume/526375: if the outside diameter of a pipe is 10cm.. The inside diameter is 9cm... How thick is pipe
1 solutions

Answer 348463 by jim_thompson5910(28707) About Me  on 2011-11-04 19:52:04 (Show Source):
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The pipe is 10 - 9 = 1 cm thick.


Numeric_Fractions/526372: -5/6=x-1/3
1 solutions

Answer 348461 by jim_thompson5910(28707) About Me  on 2011-11-04 19:41:58 (Show Source):
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-5/6=(x-1)/3


-5*3=6(x-1)


-15=6(x-1)


-15=6x-6


-15+6=6x


-9=6x


-9/6=x


-3/2=x


x=-3/2



Geometry_Word_Problems/526367: solve 5(x+2)=60 show all of your step wrtie a reason for each step
1 solutions

Answer 348457 by jim_thompson5910(28707) About Me  on 2011-11-04 19:20:06 (Show Source):
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5%28x%2B2%29=60 Start with the given equation.


5x%2B10=60 Distribute.


5x=60-10 Subtract 10 from both sides.


5x=50 Combine like terms on the right side.


x=%2850%29%2F%285%29 Divide both sides by 5 to isolate x.


x=10 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=10


Quadratic_Equations/526361: 2x^2+5x-1
Find the x-intercepts for the function.
x^2+5/2x=1/2 is where I am at now. I don't know how to get the next step to get the answer.
1 solutions

Answer 348455 by jim_thompson5910(28707) About Me  on 2011-11-04 19:07:22 (Show Source):
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To find the x-intercepts of 2x%5E2%2B5x-1, we need to solve 2x%5E2%2B5x-1=0 for x.




2x%5E2%2B5x-1=0 Start with the given equation.


Notice that the quadratic 2x%5E2%2B5x-1 is in the form of Ax%5E2%2BBx%2BC where A=2, B=5, and C=-1


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%285%29+%2B-+sqrt%28+%285%29%5E2-4%282%29%28-1%29+%29%29%2F%282%282%29%29 Plug in A=2, B=5, and C=-1


x+=+%28-5+%2B-+sqrt%28+25-4%282%29%28-1%29+%29%29%2F%282%282%29%29 Square 5 to get 25.


x+=+%28-5+%2B-+sqrt%28+25--8+%29%29%2F%282%282%29%29 Multiply 4%282%29%28-1%29 to get -8


x+=+%28-5+%2B-+sqrt%28+25%2B8+%29%29%2F%282%282%29%29 Rewrite sqrt%2825--8%29 as sqrt%2825%2B8%29


x+=+%28-5+%2B-+sqrt%28+33+%29%29%2F%282%282%29%29 Add 25 to 8 to get 33


x+=+%28-5+%2B-+sqrt%28+33+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


x+=+%28-5%2Bsqrt%2833%29%29%2F%284%29 or x+=+%28-5-sqrt%2833%29%29%2F%284%29 Break up the expression.


So the exact solutions are x+=+%28-5%2Bsqrt%2833%29%29%2F%284%29 or x+=+%28-5-sqrt%2833%29%29%2F%284%29


which approximate to x+=+0.186 or x+=+-2.686 (by using a calculator)


So the x-intercepts are (0.186, 0) and (-2.686, 0)


Triangles/526360: I am a triangle having a right angle and no congruent sides
1 solutions

Answer 348454 by jim_thompson5910(28707) About Me  on 2011-11-04 19:02:41 (Show Source):
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This triangle is then a right scalene triangle.


Quadratic_Equations/526352: 2x^2+5x-1
1 solutions

Answer 348452 by jim_thompson5910(28707) About Me  on 2011-11-04 18:40:53 (Show Source):
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What do you want to do here?


Human-and-algebraic-language/526350: use mathamatical symbols to translate the verbal phrases into algebraic language .
10. one-tenth of W
1 solutions

Answer 348451 by jim_thompson5910(28707) About Me  on 2011-11-04 18:36:01 (Show Source):
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"one-tenth of W " means


Number-Line/525990: Where is 3/7 on a number line
1 solutions

Answer 348279 by jim_thompson5910(28707) About Me  on 2011-11-03 20:55:54 (Show Source):
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3/7 = 0.42857 roughly


So it's just above 1/4 (which is 0.25) and below 1/2 (which is 0.5)


Equations/525989: -3+5-2x+8=12
1 solutions

Answer 348278 by jim_thompson5910(28707) About Me  on 2011-11-03 20:54:51 (Show Source):
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-3%2B5-2x%2B8=12 Start with the given equation.


-2x%2B10=12 Combine like terms on the left side.


-2x=12-10 Subtract 10 from both sides.


-2x=2 Combine like terms on the right side.


x=%282%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=-1 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=-1


Travel_Word_Problems/525978: An airplane descends from 42,000 ft to 18,000 in 12 minutes. Express its rate of change in altitude in feet per minute as a signed number. (This chapter is discussing integers in multiplication and division.)
1 solutions

Answer 348277 by jim_thompson5910(28707) About Me  on 2011-11-03 20:52:50 (Show Source):
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(18000-42000)/12


(-24000)/12


-2000


So the rate of change is -2000 ft/min


Basically, the plane is descending 2000 feet every minute.