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Numbers_Word_Problems/350228: a number is much as greater than 31 as is less than 55. the number is what?
1 solutions

Answer 250323 by Fombitz(13828) About Me  on 2010-09-30 14:20:51 (Show Source):
You can put this solution on YOUR website!
X-33=51-X
2X=84%7D%7D%0D%0A%7B%7B%7BX=42
THe number is 42.


Travel_Word_Problems/350212: A car travels at 60 mph east for 20 min then at 30 mph east for 30 minutes. What is the average speed and average velocity?
1 solutions

Answer 250322 by Fombitz(13828) About Me  on 2010-09-30 13:55:42 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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D%5B1%5D=60%281%2F3%29=20miles
D%5B2%5D=30%281%2F2%29=15miles
Total distance traveled=20%2B15=35 miles
Total time traveling=5%2F6hr
Average speed:S=35%2F%285%2F6%29=42mph
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Let positive x be East.
Let positive y be North.
Starting position:(0,0)
East displacement:(20,0)+(15,0)
Final position:(0,0)+(35,0)=(35,0)
Time:5%2F6hr
V=X%2Ft
Average velocity:V=(42,0)


Average/350213: How many 1/2 inch squares can you get from a sheet of paper that is 8 1/2 x 11.
1 solutions

Answer 250321 by Fombitz(13828) About Me  on 2010-09-30 13:48:11 (Show Source):
You can put this solution on YOUR website!
Look at the total area for a sheet of paper that is 8.5x11.
A=8.5%2A11=93.5
Each square has an area of,
A%5Bs%5D=%281%2F2%29%281%2F2%29=1%2F4
So then the total numbers of squares in the paper are,
N=93.5%2F%281%2F4%29=highlight%28374%29


Quadratic_Equations/350105: Triangle ABC is isosceles. AB = x and BC = 2x-4
a) find two possible values for x if the perimeter of triangle ABC is 32
b)how many possible values are there for x if the perimeter of triangle ABC is 12
1 solutions

Answer 250320 by Fombitz(13828) About Me  on 2010-09-30 13:45:26 (Show Source):
You can put this solution on YOUR website!
a) Either
x%2Bx%2B2x-4=32 or 2x-4%2B2x-4%2Bx=32
4x-4=32 or 5x-8=32
4x=36 or 5x=40
x=9 or x=8
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b) Same equations apply, just different right hand side.
4x-4=12 or 5x-8=12
4x=16 or 5x=20
x=4 or x=4
Only 1, x=4.


Proportions/350183: Solve each proportion and then check.
x/12-x = 5/15
Help me please, I am so stuck!
1 solutions

Answer 250319 by Fombitz(13828) About Me  on 2010-09-30 13:42:12 (Show Source):
You can put this solution on YOUR website!
x%2F%2812-x%29+=+5%2F15
15x=5%2812-x%29
15x=60-5x
Now solve for x.


Mixture_Word_Problems/350207: forty ounces of a 30% gold alloy are mixed with 60oz of a 20% gold alloy. Find the percent concentration of the resulting gold alloy
1 solutions

Answer 250318 by Fombitz(13828) About Me  on 2010-09-30 13:40:57 (Show Source):
You can put this solution on YOUR website!
Let X be the new concentration,
30%2840%29%2B20%2860%29=X%28100%29
1200%2B1200=100X
X=24
The new alloy is 24% copper.


Rational-functions/350187: Need help. Find all real solutions.
1/p-2/√9p+1=0
1 solutions

Answer 250317 by Fombitz(13828) About Me  on 2010-09-30 13:38:12 (Show Source):
You can put this solution on YOUR website!
You need to use parentheses to differentiate expressions, numerators, and denominators.
Is either of the two below what you're after???
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1.%281%2F%28p-2%29%29%2F%28sqrt%289p%2B1%29%29=0
or
2.1%2Fp-2%2Fsqrt%289p%2B1%29=0


Linear-equations/350205: Hey I have a table of values chart and I need to find out the equation that fits a linear model, quadratic model and exponential model.
Can You just help me out with what I have to do to plug in the values into which equation. The table of values chart is below:
X = (Y)
1 =(14 000)
2 =(9100)
3 =(4000)
4 =(4000)
5 =(3000)
How do i find out the linear model, quadratic model and exponential model for this table.
Please can someone help me...ive been stuck on this question for a long time...Thank You!
1 solutions

Answer 250316 by Fombitz(13828) About Me  on 2010-09-30 13:34:10 (Show Source):
You can put this solution on YOUR website!
If you have data and want to fit a curve, first step is to graph the data.

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If you have to find the linear, exponential, and quadratic model to fit the data, the quickest and easiest way is to use EXCEL's Chart Wizard, then fit a trendline using a linear, exponential, and quadratic model. When you "Add Trendline" click on the Options tab to display the equation on the chart. Then you'll have all of the coefficients for the equation.
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Proportions/350203: For most flying creatures, the length of thewing varies inversely as the number of wingbeats per second. A dragonfly has a winglength of 1.6 inches and a wingspeed of 45 times per second. If a bee has a wingspeed of 200 beats per second, what is the lenghth of a bee's wing? (Simply work the problem through; you do not need a 5-step solution.)
HELP! I don't know what to do!! Please!!
1 solutions

Answer 250315 by Fombitz(13828) About Me  on 2010-09-30 13:27:18 (Show Source):
You can put this solution on YOUR website!
Re-read the probem, there's an equation in there.
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"the length of the wing varies inversely as the number of wingbeats per second."
L=k%2FW, where L is the wing length (inches), W is the wing speed(beat/sec).
LW=k
L%5B1%5DW%5B1%5D=L%5B2%5DW%5B2%5D
Use the data provided...
1.6%2A45=L%5B2%5D%2A200
L%5B2%5D=%281.6%2A45%29%2F200
Now solve for L%5B2%5D.


Rational-functions/350190: please check my equation and let me know if I'm missing a step. Thank you
3(6-4x)=2(-6x+9)
18-4x =-4x+18
+4 +4
18 = 18
1 solutions

Answer 250313 by Fombitz(13828) About Me  on 2010-09-30 13:23:30 (Show Source):
You can put this solution on YOUR website!
3(6-4x)=2(-6x+9)
18-4x =-4x+18<--- 3*4x=12x not 4x on the left hand side, 2(-6x)=-12x not -4x on the right hand side
+4 +4
18 = 18


Equations/350202: question 1
The slope of a line is -7/10 . The point (10, 3) is on the line. Determine the equation of this line.
question 2
The slope of a line is -3/4 . The point (8, -5) is on the line. Determine the equation of this line.
question 3
The slope of a line is 1/9 . The point (-9, -11) is on the line. Determine the equation of this line.
question 4
The slope of a line is 1/8 . The point (-8, -5) is on the line. Determine the equation of this line.

Thanks!
1 solutions

Answer 250312 by Fombitz(13828) About Me  on 2010-09-30 13:20:45 (Show Source):
You can put this solution on YOUR website!

I'll show you how to do one.
You finish the rest.
Start with point-slope form,y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-3=-%287%2F10%29%28x-10%29
y-3=-%287%2F10%29x%2B7
highlight%28y=-%287%2F10%29x%2B10%29
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The rest are done the same way.


Graphs/350076: Please help me solve this equation: Use pascal's triangle to determine the binomial expansion for the following and simplify the final expansion.
(a) +%28x-2%29%5E7+
(b) +%28-x-2y%29%5E6+
1 solutions

Answer 250311 by Fombitz(13828) About Me  on 2010-09-30 13:18:03 (Show Source):
You can put this solution on YOUR website!
a)
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b)
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Simplify.


Numbers_Word_Problems/350126: If the product of some number and three is increased by eight, the result is five times the number. What is the number?
1 solutions

Answer 250310 by Fombitz(13828) About Me  on 2010-09-30 13:13:20 (Show Source):
You can put this solution on YOUR website!
Let the number be N.
3N%2B8=5N
2N=8
highlight%28N=4%29


Equations/350201: The slope of a line is 20 and the point (3, 5) is on the line. Express the line in slope-intercept form.
1 solutions

Answer 250308 by Fombitz(13828) About Me  on 2010-09-30 13:09:32 (Show Source):


Triangles/350106: The measure of exterior angle of an isosceles triangle is x degrees . what are the possible angle measures of the triangle in terms of x ? describe all the possible values of x
1 solutions

Answer 250307 by Fombitz(13828) About Me  on 2010-09-30 13:08:23 (Show Source):
You can put this solution on YOUR website!
If the exterior angle is x, the interior angle is 360-x.
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If the interior angle,360-x, is the vertex angle, then
360-x%2B2y=180
2y=x-180
y=%281%2F2%29x-90
The base angles, y, would equal x%2F2-90.
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If the interior angle,360-x, is a base angle, then,
2%28360-x%29%2By=180
720-2x%2By=180
y=2x-540
THe vertex angle, y would be 2x-540.


expressions/350160: 7x^3+10= x=-4
1 solutions

Answer 250305 by Fombitz(13828) About Me  on 2010-09-30 13:00:03 (Show Source):


Quadratic_Equations/350196: i have been working on this problem for an hour and cannot seem to figure it out. Thank you ∛(y^10 )×∛(y^11 ) multipy and simplify
1 solutions

Answer 250303 by Fombitz(13828) About Me  on 2010-09-30 12:57:57 (Show Source):
You can put this solution on YOUR website!
I'm not sure what symbols are in the boxes in front of y%5E10 and y%5E11??
But
y%5E10%2Ay%5E11=y%5E%2810%2B11%29=y%5E21


Linear-systems/350151: Solve the system by substitution, elimination, or graphing:
x-3y=17
5x-15y=81
1 solutions

Answer 250276 by Fombitz(13828) About Me  on 2010-09-30 11:20:17 (Show Source):
You can put this solution on YOUR website!
If you multiply the first equation by 5,
5x-15y=85
Same left hand side, different right hand side comapred to the second equation.
5x-15y=81
These two lines are parallel, there is no solution.


Linear_Algebra/350148: The slope of a line is 12 and the point (1, 5) is on the line. Express the line in slope-intercept form.
1 solutions

Answer 250275 by Fombitz(13828) About Me  on 2010-09-30 11:15:27 (Show Source):
You can put this solution on YOUR website!
Start with the point-slope form, y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-5=12%28x-1%29
Then convert to slope-interept form, y=mx%2Bb
y-5=12x-12
highlight%28y=12x-7%29


Travel_Word_Problems/350150: a train goes 60 mph how fast will it travel in 20 minutes
1 solutions

Answer 250273 by Fombitz(13828) About Me  on 2010-09-30 11:11:38 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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R%2At=D
20 minutes is 1%2F3 of an hour.
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60%281%2F3%29=20miles


Quadratic_Equations/350047: please solve this because i need it: ((x-1)/(x))^2-(x-1)/(x)-2=0. Thanks!
1 solutions

Answer 250268 by Fombitz(13828) About Me  on 2010-09-30 10:54:47 (Show Source):
You can put this solution on YOUR website!
Substitute, let u=%28x-1%29%2Fx
Then,
u%5E2-u-2=0
%28u-2%29%28u%2B1%29=0
Two solutions:
u-2=0
u=2
%28x-1%29%2Fx=2
x-1=2x
highlight%28x=-1%29
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u%2B1=0
u=-1
%28x-1%29%2Fx=-1
x-1=-x
2x=1
highlight%28x=1%2F2%29


Proportions/350004: 2X2+1+XY+X2+2XY+5
1 solutions

Answer 250265 by Fombitz(13828) About Me  on 2010-09-30 10:51:12 (Show Source):
You can put this solution on YOUR website!
What's the question?


Quadratic_Equations/350143: 3x^2-5x+8 use x=-3
I tried this question
3(-3)^2-5(-3)+8
3(9)+15+8
27+15+8=50
is 50 the answer?
1 solutions

Answer 250264 by Fombitz(13828) About Me  on 2010-09-30 10:50:37 (Show Source):
You can put this solution on YOUR website!
Yes, well done.


Human-and-algebraic-language/350145: A rope is 54 in. in length and must be cut into two pieces.
If one piece must be twice as long as the other,
find the length of each piece



x+x+2=54
2x+2=54
-2 -2
2x=54
2x 2
x=27


x+2
27+2
29
1 solutions

Answer 250263 by Fombitz(13828) About Me  on 2010-09-30 10:49:38 (Show Source):
You can put this solution on YOUR website!
No, the problem you solved is if one piece is 2 inches longer than the other.
If one piece is x, the other is 2x.
2x%2Bx=54


Quadratic_Equations/350141: (p^3-2p)/(p^2-81)
1 solutions

Answer 250258 by Fombitz(13828) About Me  on 2010-09-30 10:38:46 (Show Source):


Coordinate-system/350007: Use your graphing calculator to approximate the point at which the function f(x) = 2x^4 - 4x - 2 has a local minimum value. Give both coordinates rounded to two decimal places.
1 solutions

Answer 250257 by Fombitz(13828) About Me  on 2010-09-30 10:37:54 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E4-4x-2%29
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graph%28300%2C300%2C-2%2C4%2C-6%2C2%2C2x%5E4-4x-2%29
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The minimum occurs at x=2%5E%28-1%2F3%29
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(0.79,-4.38)


Quadratic_Equations/350140: (5z-15)/49÷(z-3)/35z
simplify answer, use integers or fractions
1 solutions

Answer 250255 by Fombitz(13828) About Me  on 2010-09-30 10:31:21 (Show Source):


Polynomials-and-rational-expressions/350045: Multiply and simplify completely, including the elimination of all negative exponents
(2x^8/3y^3)^4 / (3^2y^9/2^3x^-8)
I don't understand how to combine the exponents here

1 solutions

Answer 250254 by Fombitz(13828) About Me  on 2010-09-30 10:28:05 (Show Source):
You can put this solution on YOUR website!
Remember the laws of exponents,
X%5Em%2AX%5En=X%5E%28m%2Bn%29
X%5Em%2FX%5En=X%5E%28m-n%29
%28X%5Em%29%5En=X%5E%28m%2An%29
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Also, dividing by a fraction is equivalent to multiplying by its reciprocal.
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Rational-functions/350032: If x=.2 when y=1485 and y varies inversely as x, find y when x=27.
1 solutions

Answer 250250 by Fombitz(13828) About Me  on 2010-09-30 10:21:11 (Show Source):


Quadratic_Equations/350138: x+5=√(9x+81) find x
1 solutions

Answer 250249 by Fombitz(13828) About Me  on 2010-09-30 10:19:20 (Show Source):
You can put this solution on YOUR website!
Square both sides,
%28x%2B5%29%5E2=9x%2B81
x%5E2%2B10x%2B25=9x%2B81
x%5E2%2Bx-56=0
%28x%2B8%29%28x-7%29=0
Two solutions:
x%2B8=0
highlight%28x=-8%29
.
.
.
x-7=0
highlight%28x=7%29


Number-Line/350025: how to write that 4 is less than 1 in a number line
1 solutions

Answer 250248 by Fombitz(13828) About Me  on 2010-09-30 10:17:39 (Show Source):
You can put this solution on YOUR website!
You can't write it on a number line.
Anyways, 4 is not less than 1.
4 is greater than 1 as shown on the number line.
Values to the left of a number are smaller than the number on a number line.
number_line%28600%2C-2%2C5%2C1%2C4%29