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Equations/324632: slove for the x-value in the system of equations 8x-3y=-2 and 3x+5y=-13

1 solutions

Answer 232365 by Fombitz(13828) About Me  on 2010-07-22 08:02:08 (Show Source):
You can put this solution on YOUR website!
1.8x-3y=-2
2.3x%2B5y=-13
Multiply eq. 1 by 5 and eq. 2 by 3 and add them together to eliminate y.
40x-15y%2B9x%2B15y=-10-39
49x=-49
highlight%28x=-1%29


Graphs/324562: What is the area of the triangle formed by the points
A=(-8,1), B=(7,1) and C=(2,10)
1 solutions

Answer 232344 by Fombitz(13828) About Me  on 2010-07-22 00:34:12 (Show Source):
You can put this solution on YOUR website!

b=7-%28-8%29=15
h=10-1=9
The area of a triangle is,
A=%281%2F2%29bh
A=%281%2F2%29%2815%29%289%29
A=135%2F2


logarithm/324577: Help! I need to do the following:
Expand the logarithmic expression in(z^4/3x%5E5y%5E5). assume all variable expressions represent positive real numbers.
1 solutions

Answer 232343 by Fombitz(13828) About Me  on 2010-07-22 00:30:02 (Show Source):
You can put this solution on YOUR website!
Do you mean ln(z^4/3*x^5*y^5}?
ln%28z%5E%284%2F3%29x%5E5y%5E5%29


Quadratic_Equations/324583: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x) = -x^2 + 1
1 solutions

Answer 232342 by Fombitz(13828) About Me  on 2010-07-22 00:28:36 (Show Source):
You can put this solution on YOUR website!
-x%5E2%2B1=0
x%5E2=1
x=0+%2B-+1
.
.
.
x=0, y=0%2B1=1
x=1=-1, y=0
x=2=-2,y=-4%2B1=-3
x=3=-3,y=-9%2B1=-8
x=4=-4,y=-16%2B1=-15
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.

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Complex_Numbers/324582: "what is the slope of a binomial 2x+3"
1 solutions

Answer 232341 by Fombitz(13828) About Me  on 2010-07-22 00:22:16 (Show Source):
You can put this solution on YOUR website!
The equation is in slope-intercept form, y=mx%2Bb where m is the slope.
m=2


Exponents/323399: 10xsquare + 13x - 3
1 solutions

Answer 232339 by Fombitz(13828) About Me  on 2010-07-22 00:18:05 (Show Source):
You can put this solution on YOUR website!
10x%5E2%2B13x-3=0
%285x-1%29%282x%2B3%29=0
Two solutions:
5x-1=0
5x=1
x=1%2F5
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.
.
2x%2B3=0
2x=-3
x=-3%2F2


Distributive-associative-commutative-properties/324586: Factor 5x + 10 + 15y
1 solutions

Answer 232338 by Fombitz(13828) About Me  on 2010-07-22 00:15:32 (Show Source):


Linear_Equations_And_Systems_Word_Problems/323379: A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in each container. Blending 300 mL of the first solution and 600 mL of the second gives a mixture that is 15% acid, whereas 100mL of the first mixed with 500 mL of the second gives a 12 1/2% acid mixture. What are the concentrations of sulfuric acid in the original containers?
1 solutions

Answer 232337 by Fombitz(13828) About Me  on 2010-07-22 00:14:58 (Show Source):
You can put this solution on YOUR website!
Let A be the concentration of the first container, B the second container.
.
.
.
300A%2B600B=900%2815%29=13500
1.3A%2B6B=135
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.
.
100A%2B500B=600%2812.5%29=7500
2.A%2B5B=75
Multiply eq. 2 by (-3) and add to eq. 1 to eliminate A.
3A%2B6B-3A-15B=135-225
-9B=-90
highlight%28B=10%29
Then from eq. 2,
A%2B50=75
highlight%28A=25%29
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.
.
The first container is a 25% solution and the second container is a 10% solution.


logarithm/324585: evaluate the expression without using a calculator.
e^1n^296
1 solutions

Answer 232336 by Fombitz(13828) About Me  on 2010-07-22 00:10:14 (Show Source):


Linear_Algebra/323380: Find the conplete solution of the linear system or show that it is inconsistent:
x + y + z = 4 and x + 3y + 3z = 10 and 2x + y - z = 3
1 solutions

Answer 232335 by Fombitz(13828) About Me  on 2010-07-22 00:09:44 (Show Source):
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[A]=%28matrix%283%2C3%2C1%2C1%2C1%2C1%2C3%2C3%2C2%2C1%2C-1%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C4%2C10%2C3%29%29
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.
[A][x]=[b]
[x]=[A]inv[b]
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det[A]=-4
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.
[A]inv=%281%2F-4%29%2A%28matrix%283%2C3%2C-6%2C2%2C0%2C7%2C-3%2C-2%2C-5%2C1%2C2%29%29
[x]=%28matrix%283%2C1%2C1%2C2%2C1%29%29


Volume/323409: The dimensions of four different cylinders are given below. Which cylinder has the greatest volume?
Cylinder 1:radius equals 4 feet, height equals 3 feet
Cylinder 2:radius equals 2 feet, height equals 5 feet
Cylinder 3:radius equals 3 feet, height equals 4 feet
Cylinder 4:radius equals 5 feet, height equals 1 feet
Cylinder 1
Cylinder 2
Cylinder 3
Cylinder 4
1 solutions

Answer 232334 by Fombitz(13828) About Me  on 2010-07-22 00:04:03 (Show Source):
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+V=pi%2Ar%5E2%2Ah
V1=pi%2A4%5E2%2A3=48pi
V2=pi%2A2%5E2%2A5=20pi
V3=pi%2A3%5E2%2A4=36pi
V4=pi%2A5%5E2%2A1=25pi
Cylinder 1 has the greatest volume.


expressions/323382: FOUR TIMES THE SUM OF SOME NUMBER PLUS 3 IS EQUAL TO 8 TIMES THE NUMBER MINUS 16
1 solutions

Answer 232333 by Fombitz(13828) About Me  on 2010-07-22 00:01:38 (Show Source):
You can put this solution on YOUR website!
Let N be the number,
4%28N%2B3%29=8N-16
4N%2B12=8N-16
4N=28
highlight%28N=7%29


Linear-systems/323383: A farmer has 1200 acres of land on which he grows corn, wheat and soybeans. It costs $45 per acre to grow corn, $60 for wheat, and $50 for soybeans. Because of market demand he will grow twice as many acres of wheat as of corn. He has allocated $63,750 for the cost of growing his crops. How many acres of each crop should he plant?
1 solutions

Answer 232332 by Fombitz(13828) About Me  on 2010-07-22 00:00:18 (Show Source):
You can put this solution on YOUR website!
1.C%2BW%2BS=1200
2.45C%2B60W%2B50S=63750
3.W=2C
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.
.
Substitute eq. 3 into eq. 1 and eq. 2,
C%2B2C%2BS=1200
4.3C%2BS=1200
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.
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45C%2B120C%2B50S=63750
5.165C%2B50S=63750
Multiply eq. 4 by (-50) and add to eq. 5 to eliminate S,
-150C-50S%2B165C%2B50S=-60000%2B63750
15C=3750
highlight%28C=250%29
highlight%28W=500%29
Then use eq. 4 to solve for S,
750%2BS=1200
highlight%28S=450%29


Divisibility_and_Prime_Numbers/323386: find the lcd of the fractions

-5/48 , 3/14
1 solutions

Answer 232331 by Fombitz(13828) About Me  on 2010-07-21 23:53:35 (Show Source):
You can put this solution on YOUR website!
DUPLICATE see Answer 232320.


absolute-value/323385: i need help with this question x exponent2 + 8x + 12 i dont even know what know what this problem is called.

1 solutions

Answer 232330 by Fombitz(13828) About Me  on 2010-07-21 23:52:24 (Show Source):
You can put this solution on YOUR website!
It's a quadratic equation.
x%5E2%2B8x%2B12=0
What's the question?


Expressions-with-variables/323425: Multiply and Simplify.
(5x + 6)(3x^2 + 6x + 2)
Thank you.
1 solutions

Answer 232329 by Fombitz(13828) About Me  on 2010-07-21 23:51:23 (Show Source):


Numbers_Word_Problems/323542: Find all real solutions for the following equation: 12x^3+16x^2-36=27x
1 solutions

Answer 232328 by Fombitz(13828) About Me  on 2010-07-21 23:49:19 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C+12x%5E3%2B16x%5E2-36-27x%29
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12x%5E3%2B16x%5E2-36-27x=%282x-3%29%282x%2B3%29%283x%2B4%29
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Three solutions:
x=3%2F2
x=-3%2F2
x=-4%2F3


Probability-and-statistics/323414: Probability: find the indicated probabilities. Using the following information. Show your work.
In a sample bag of M&M's candy there are 5 brown, 6 yellow, 4 blue, 3 green, and 2 orange.
What is the probability of getting 1 green M&M if only one is taken at a time?
What is the probability of getting 3 yellow M&M's if 3 are taken at a time?
What is the probability of getting 1 brown and 2 orange M&M's if 3 are taken at a time?
1 solutions

Answer 232327 by Fombitz(13828) About Me  on 2010-07-21 23:44:21 (Show Source):
You can put this solution on YOUR website!
5 Brown
6 Yellow
4 Blue
3 Green
2 Orange
20 Total
.
.
P(1 Green)=3/20
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.
P(1st Yellow)=6/20
P(2nd Yellow)=5/19
P(3rd Yellow)=4/18
P(Y,Y,Y)=(6/20)(5/19)(4/18)=1/57
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P(1st Brown)=5/20
P(2nd Orange)=2/19
P(3rd Orange)=1/18
P(B,O,O)=(5/20)(2/19)(1/18)=1/684


test/323798: The area of a triangle is 51 square feet. The base is 1 foot less than 3 times the height. Find the base and height of the triangle.
1 solutions

Answer 232326 by Fombitz(13828) About Me  on 2010-07-21 23:39:16 (Show Source):
You can put this solution on YOUR website!
The area of a triangle is ,
A=%281%2F2%29bh
%281%2F2%29%283h-1%29h=51
%283h-1%29h=102
3h%5E2-h-102=0
%283h%2B17%29%28h-6%29=0
Only the positive answer makes sense for this problem.
h-6=0
highlight%28h=6%29
b=3%286%29-1
highlight%28b=17%29


Average/324581: i dont understand how the answer is 30 and i get 20 or 12
Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00 ?
A. 12
B. 20
C. 30
D. 60
E. 108

1 solutions

Answer 232324 by Fombitz(13828) About Me  on 2010-07-21 23:34:20 (Show Source):
You can put this solution on YOUR website!
The profit per toy is the sale price minus the cost.
P=3-1.8=1.2
For each toy he makes a profit of $1.20.
Find the total number of toys to make $36.00.
N=36%2F1.2
N=30


Complex_Numbers/324580: what is the slope of abinomial 2x+8
1 solutions

Answer 232322 by Fombitz(13828) About Me  on 2010-07-21 23:28:04 (Show Source):
You can put this solution on YOUR website!
The equation is in slope intercept form, y=mx%2Bb where m is the slope.
m=2


Exponents/323403: Exponents and roots: perform the indicated function and simplify your answer> show your work
(3x squared y cubed) to the exponent 3
1 solutions

Answer 232321 by Fombitz(13828) About Me  on 2010-07-21 23:27:14 (Show Source):


Divisibility_and_Prime_Numbers/323391: find the lcd of the fractions
-5/48 , 3/14
1 solutions

Answer 232320 by Fombitz(13828) About Me  on 2010-07-21 23:23:45 (Show Source):


Linear_Equations_And_Systems_Word_Problems/324537: Candy A sells for $2.50 / kg. Candy B sells for $5.00 / kg. What quantities of each candy should be used to make up 100 kg to sell for $4.00 / kg?
1 solutions

Answer 232319 by Fombitz(13828) About Me  on 2010-07-21 23:20:01 (Show Source):
You can put this solution on YOUR website!
1.A%2BB=100
2.2.5A%2B5B=4%28100%29=400
Multiply eq. 1 by -2.5 and add to eq. 2,
-2.5A-2.5B%2B2.5A%2B5B=-250%2B400
2.5B=150
highlight%28B=60%29
Then from eq. 1,
A%2B60=100
highlight%28A=40%29
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40 kg of Candy A and 60 kg of Candy B.


Probability-and-statistics/324439: Z Test question....
A state community is elgible for clothes the mean income per annum is $3,000 or less. A simple random sample of 100 people was drawn from the place and the mean income is $2,500. The standard deviation is $200. Find out the proportion with annual incom between $2500 or less?
This is what I got... 3000-2500/200= 500/200= 2.5(Check the appendix for z at 2.5) I got .4938 and .5-.4938=.0062 when converted to percent I got .62%
1 solutions

Answer 232318 by Fombitz(13828) About Me  on 2010-07-21 23:16:52 (Show Source):
You can put this solution on YOUR website!
Your question is confusing.
Find out the propoetion with annual income between $2500 and less.
Did you mean $2500 and less?
If so why did you use $3000 to calculate the z score?
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.
.
Also, if z=2.5, then P=0.5+0.4938=0.9938, add, don't subtract.
So if the mean is $2500 and std. dev. is $200, 99.38% of the people make less than $3000.
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.
Please re-post.


Quadratic_Equations/324474: if the sides of a square are lengthened by 8 cm, the area becomes 196 cm2. Find the length of a side of the original square
1 solutions

Answer 232316 by Fombitz(13828) About Me  on 2010-07-21 23:11:11 (Show Source):
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%28S%2B8%29%5E2=196
S%2B8=14
S=6
The original square side length is 6 cm.


Probability-and-statistics/324499: In a bag of 10 marbles, there are 5 blue marbles, 3 red marbles, and 2 white marbles. Complete the probability distribution table for drawing 1 marble out of the bag. What is the probaility for blue marbles, red marbles and white marbles
1 solutions

Answer 232314 by Fombitz(13828) About Me  on 2010-07-21 23:09:29 (Show Source):
You can put this solution on YOUR website!
P(B)=5/10=1/2
P(R)=3/10
P(W)=2/10=1/5


Quadratic_Equations/324573: I am trying to complete the square. Here's what I did:
x(2x+3)-1=0
x=2x+3+1=0+1
x=2x+4=1
x= (2,-2)
1 solutions

Answer 232313 by Fombitz(13828) About Me  on 2010-07-21 23:08:23 (Show Source):
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No.
You have two equals signs in one equation.
Is your equation x%282x%2B3%29-1=0?
If so, then,
2x%5E2%2B3x-1=0
2%28x%5E2%2B%283%2F2%29x%29-1=0
Take (1/2) of the x coefficient and square it.
2%28x%5E2%2B%283%2F2%29x%2B9%2F16%29-1-2%289%2F16%29=0
2%28x%2B3%2F4%29%5E2-16%2F16-18%2F16=0
2%28x%2B3%2F4%29%5E2-34%2F16=0
2%28x%2B3%2F4%29%5E2=34%2F16
%28x%2B3%2F4%29%5E2=17%2F16
x%2B3%2F4=0+%2B-+sqrt%2817%29%2F4
x=-3%2F4+%2B-+sqrt%2817%29%2F4


Travel_Word_Problems/324460: If kate is traveling at 70mph and Dan is going 60 mph. Kate reaches Jacksonville at 2:30. How long will it take dan to catch up to kate?
1 solutions

Answer 232312 by Fombitz(13828) About Me  on 2010-07-21 23:04:25 (Show Source):
You can put this solution on YOUR website!
Did they start at the same place?
Did they start at the same time?
You've not provided enought information to solve the problem.
Please re-post.


Functions/323405: given the equation:
f(x)= 3*sin(1/x)
a. is this a function? why or why not?
b. define the domain in interval notation.
c. define the range in interval notation.
d. evaluate f(0)
e. find max [f(x)]
f. find min [f(x)]
1 solutions

Answer 232311 by Fombitz(13828) About Me  on 2010-07-21 23:03:20 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-5%2C5%2C3%2Asin%281%2F%28x%2B0.001%29%29%29
graph%28300%2C300%2C-2%2C2%2C-5%2C5%2C3%2Asin%281%2F%28x%2B0.001%29%29%29
a) Yes, it provides a unique y value for each x input, although it is not continuous at x=0.
b) (-infinity,0) U (0,infinity)
c) [-3,3]
d) f(0) is undefined since 1/0 is undefined.
e) ymax=3
f) ymin=-3


Linear-equations/323503: m= -4(9,0)
1 solutions

Answer 232308 by Fombitz(13828) About Me  on 2010-07-21 22:54:06 (Show Source):
You can put this solution on YOUR website!
y=mx%2Bb
y=-4x%2Bb
Use the point (9,0) to solve for b.
-4%289%29%2Bb=0
-36%2Bb=0
b=36
.
.
.
highlight%28y=-4x%2B36%29