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edjones answered: 7568 problems
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Inequalities/108174: How do I solve:
3x+9-5x

1 solutions

Answer 78832 by edjones(7569) About Me  on 2007-11-05 16:09:38 (Show Source):
You can put this solution on YOUR website!
3x%2B9-5x%3Cx
.
-9%2B9-5x%3Cx-9
.
-5x%3Cx-9
.
-x-5x%3Cx-x-9
.
-6x%3C-9
.
-6x%2F-6%3E-9%2F-6 reverse inequality sign when dividing by a negative number.
.
x%3E2%2F3
Ed


Rational-functions/108025: This question is from textbook Algebra 2
x^2+7x-8/
4x^2-8x+4
1 solutions

Answer 78766 by edjones(7569) About Me  on 2007-11-05 01:11:15 (Show Source):


Inequalities/108029: i need help with inequaliti -6<2t-5<(with little line in the bottom)-3
1 solutions

Answer 78765 by edjones(7569) About Me  on 2007-11-05 00:55:56 (Show Source):
You can put this solution on YOUR website!
The little line on the bottom means "or equal to"
-6<2t-5<=-3
.
-6+5<2t-5+5
-1<2t
-1/2<2t/2
-1%2F2%3Ct
.
2t-5<=-3
2t-5+5<=-3+5
2t<=2
2t/2<=2/2
t%3C=1
.
-1%2F2%3Ct%3C=1
.
Ed


Equations/108023: Write the fraction in simplest form.
18. 24/18
Any help with this equation would be GREATLY appreciated.
1 solutions

Answer 78764 by edjones(7569) About Me  on 2007-11-05 00:46:00 (Show Source):


Equations/108024: Write the fraction in simplest form.
19. 14/4
Any help with this equation would be GREATLY appreciated.
1 solutions

Answer 78763 by edjones(7569) About Me  on 2007-11-05 00:44:38 (Show Source):


Miscellaneous_Word_Problems/108121: one side of a triangle is twice the shortest side. the third side is 4 feet more than the shortest side. the perimeter is 20 feet. find all three sides.
1 solutions

Answer 78762 by edjones(7569) About Me  on 2007-11-05 00:39:35 (Show Source):
You can put this solution on YOUR website!
Let s= length of the shortest side
2s+s+4+s=20
4s+4=20
4s+4-4=20-4
4s=16
4s/4=16/4
s=4 ft
2s=8 ft
s+4=8 ft
Ed


Trigonometry-basics/108067: 1/3 + 5/12 + 4/5 =
help me please still do not no how to add/subtract fractions...Do all the bottom numbers have to be the same number? Then all the top numbers have to be mutliplied by the same as the bottom number???
1 solutions

Answer 78761 by edjones(7569) About Me  on 2007-11-05 00:32:36 (Show Source):
You can put this solution on YOUR website!
All the bottom numbers (denominators) have to be the same (common denominator).
What number do 3, 5, and 12 go into? 60 is one.
All we have to do now is divide the denominator of each original number into the common denominator and multiply the result times the original numerator to get the new numerator.
For 1/3 divide 3 into 60 = 20 and 20 times the numerator of 1 = 20
The 1st new fraction is 20/60
Next 12 goes into 60 5 times. 5 times 5 = 25. 2nd fraction is 25/60
4/5 = 48/60
20/60 + 25/60 + 48/60 = 93/60 = 31/20 or 1 11/20 Both are correct.
Ed


Trigonometry-basics/108076: 1 1/15 + 3 3/10 - 2 4/5 = ??
Can someone help me with this please, I really have no idea where to start.
Thank you.
1 solutions

Answer 78760 by edjones(7569) About Me  on 2007-11-05 00:13:02 (Show Source):
You can put this solution on YOUR website!
1 1/15 + 3 3/10 - 2 4/5
=16/15+33/10-14/5
=32/30+99/30-84/30
=47/30 or 1 17/30
Ed


Trigonometry-basics/108084: Lunch meat sells for about $3 per pound. You use about a 1/2 pound per day for sandwiches. How much should you budget for lunch meat over the next month (about 20 workdays)?
1 solutions

Answer 78759 by edjones(7569) About Me  on 2007-11-05 00:03:42 (Show Source):
You can put this solution on YOUR website!
20*1/2=10 lbs
10*$3=$30


logarithm/107974: This question is from textbook Precalculus
Hi,
Please help me solve: S(t)=200[1-(0.86)^t]
I've used the 10 hours for time to start S(10)
and the result I have is S(10)=200[14].
I haven't found out what to do with the brackets or what they mean.
I am also supposed to turn this into an exponetial and and logarithmic function for graphing. But I'm stuck at the start.
I need this solved for an overdue assignment - Please help!
Thanks,
Marisa
1 solutions

Answer 78690 by edjones(7569) About Me  on 2007-11-04 16:36:28 (Show Source):
You can put this solution on YOUR website!
When a number is next to a bracket without a + or - sign between them you multiply. work on innermost brackets first.
If t=10
S(10)=200[1-(0.86)^10]
=200[1-(.7396)]
=200[.2604]
=52.08
Ed


Rate-of-work-word-problems/107977: ok, here we go.
John and Harry can paint a house in 10 days. when working alone John can paint the house in 30 days. How many days will it take Harry to paint the house.
I have no idea how to do this probolem.
1 solutions

Answer 78688 by edjones(7569) About Me  on 2007-11-04 16:25:37 (Show Source):
You can put this solution on YOUR website!
The trick is to invert things at first and turn them right side up at the end.
John can do 1/30 of the job in 1 day.
1/30+h=1/10
h=3/30-1/30
h=2/30=1/15 Harry can do 1/15 of the job in one day or the entire job in 15 days.
Ed


Rectangles/107935: The diagonal of a rectangle is 2 ft longer than its length and 5 feet longer than its width. What are the dimensions of the rectangle?
1 solutions

Answer 78686 by edjones(7569) About Me  on 2007-11-04 15:55:36 (Show Source):
You can put this solution on YOUR website!
The diagonal divides the rectangle into 2 equal right triangles.
Let the diagonal=c and the 2 sides be a and b.
a=c-2, b=c-5
a^2+b^2=c^2
(c-2)^2+(c-5)^2=c^2
c^2-4c+4+c^2-10c+25=c^2
c^2-14c+29=0
c^2-14c =-29
c^2-14c+49=49-29 complete the square
(c-7)^2=20
c-7=+-sqrt(20)
c=7+-sqrt(5*4)
=7+-2sqrt(5)
Only 7+2sqrt(5) is the only correct answer for the diagonal. the other would lead to negative numbers for the sides of the rectangle.
The sides of the rectangle are:
5+2sqrt(5) and 2+2sqrt(5)
Ed


Miscellaneous_Word_Problems/107939: This question is from textbook
Autimotive Trades - A hose must fit over a cylindrical opening 57.2 mm in diameter. If the hose wall is 3.0 mm thick, what length of clamp strap is needed to go around the hose connection? Round to two significant digits.
1 solutions

Answer 78674 by edjones(7569) About Me  on 2007-11-04 15:16:57 (Show Source):
You can put this solution on YOUR website!
57.2+6=63.2 diameter of clamp strap required.
Circumference of clamp strap=63.2pi
=198.55 mm
Ed


Finance/107954: could you please help me solve this word problem? Word problems are not my strength.
Payrolls for the three highest paid baseball
teams ( the Yankees,Mets, and Braves) for 2003 totalled #376 million (usa today). If the team payroll for the Yankees was $36
million greater than the payroll for the Mets and the payroll for the
Mets was $11 million greater than the payroll for the Braves, then what was the 2003 payroll for each team?

1 solutions

Answer 78673 by edjones(7569) About Me  on 2007-11-04 15:10:02 (Show Source):
You can put this solution on YOUR website!
Let m=payroll of Mets
m+36+m-11+m=376
3m+25=376
3m=376-25
3m=351
m=351/3
m=$117,000,000. Mets payroll
117+36=$153,000,000. Yankees payroll
117-11=$106,000,000. Braves payroll.
Ed


Rational-functions/107757: Find the solutions to the equation: x − 5/4 = 4
a. x = –1, 4
b. x = –1, 5
c. x = 1, 4
d. x = 1, 5
1 solutions

Answer 78672 by edjones(7569) About Me  on 2007-11-04 14:58:48 (Show Source):
You can put this solution on YOUR website!
x-5/4=4
x-5/4+5/4=4+5/4
x=4 5/4
x=5 1/4
Ed


Rational-functions/107949: Find g[f(4)]if:
f(x)=6x, and g(x)=-2x-2
1 solutions

Answer 78670 by edjones(7569) About Me  on 2007-11-04 14:47:17 (Show Source):
You can put this solution on YOUR website!
f(4)=6*4=24
g(24)=-2*24-2=-50
Ed


Rate-of-work-word-problems/107942: A,B, and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job? I was thinking about the equation:
A+B+C/6=1
1 solutions

Answer 78665 by edjones(7569) About Me  on 2007-11-04 14:38:03 (Show Source):
You can put this solution on YOUR website!
.
1/a+1/b+1/c=1/6 (1/6 means 1/6 of the job in 1 day)
1/b+1/c=1/9...1/b=1/9-1/c
1/a+1/c=1/8...1/a=1/8-1/c
.
1/a+1/b+1/c=1/6
1/8-1/c+1/9-1/c+1/c=1/6
-1/c+1/8+1/9=1/6
-72+9c+8c=12c multiply both sides by 72
5c=72
c=72/5 days to do the job working alone.
.
1/a=1/8-5/72
1/a=9/72-5/72=4/72
a=72/4 days
.
1/b=1/9-5/72
1/b=8/72-5/72=3/72
b=72/3 days
.
Check:
5/72+4/72+3/72=12/72=1/6
.
Ed


Surface-area/107926: Find the area of a circle with radius 4.
1 solutions

Answer 78650 by edjones(7569) About Me  on 2007-11-04 12:33:19 (Show Source):
You can put this solution on YOUR website!
A=pi*r^2
=16pi
=50.27...
Ed


Complex_Numbers/107650: 3-5x²=-9

1 solutions

Answer 78513 by edjones(7569) About Me  on 2007-11-03 01:18:45 (Show Source):
You can put this solution on YOUR website!
3-5x²=-9
-5x^2+12=0
5x^2-12=0 multiply -1 times each side.
5x^2=12
x^2=12/5
x=+-sqrt(12/5)
x=+-1.54919
Ed


Graphs/107703: Find the length of each side of the rectangle so that it has the given perimeter.
one of the long sides of the rectagle is 2x-5.
the other long side of the rectangle is p = 50 in.
the short side of the rectangle is x
what is x?


1 solutions

Answer 78511 by edjones(7569) About Me  on 2007-11-03 00:58:34 (Show Source):
You can put this solution on YOUR website!
Maybe you got the problem wrong.
2x-5=L
P=50
2(2x-5)+2x=50
4x-10+2x=50
6x-10+10=50+10
6x=60
x=10 in.
Ed


Equations/107725: if every fourth trick- or- treater is a vampire, and every 6th a robot , how many of each will you see if 75 trick- or- treaters come to your door?
i need the steps on how u solve this problem.
THANK YOU:)
1 solutions

Answer 78510 by edjones(7569) About Me  on 2007-11-03 00:51:06 (Show Source):
You can put this solution on YOUR website!
What steps?
75/4=18.75
75/6=12.5
So, 18 vampires and 12 robots will appear.
Ed


Rational-functions/107726: This question is from textbook Algebra and Trigonometry
x^4-y^4 x^2-y^2 x^6-y^6
------- x -------- x --------
x^3-y^3 x^3+y^3 x^2+y^2
those are fractions multiplied by eachother
"carry out the indicated operations and simplify"
the answer in the back of the book is x^4-2x^2y^2+y^4
i'm just confused as to how to get to that answer. i've tried some things, but they aren't working.
1 solutions

Answer 78509 by edjones(7569) About Me  on 2007-11-03 00:45:51 (Show Source):
You can put this solution on YOUR website!

=(x^2)^2
=x^4-2x^2y^2+y^4
Ed


Expressions-with-variables/107279: One number is two less than another. Use a rational expression
to represent the sum of the reciprocals of the two numbers.
1 solutions

Answer 78264 by edjones(7569) About Me  on 2007-11-01 13:02:14 (Show Source):
You can put this solution on YOUR website!
let the numbers be x, x-2
1/x + 1/x-2 Answer
Ed


Expressions-with-variables/107346: The lenght of 1 side of a retangle is 34cm.The area of a rectangle is 68cm times 68cm. What is the width of the retangle.
1 solutions

Answer 78262 by edjones(7569) About Me  on 2007-11-01 12:55:55 (Show Source):
You can put this solution on YOUR website!
L=34, A=68^2
L*w=A
34w=68^2
34w=4624
34w/34=4624/34
w=136 cm
Ed


Graphs/107356: I really need help with this problem. will someone please help me? I think I left a number out of this problem earlier. y=-1/3x+2
1 solutions

Answer 78260 by edjones(7569) About Me  on 2007-11-01 12:46:18 (Show Source):


Graphs/107470: Can you please help me with this one.

Consider the function f(x)=x^2+4x+1.
a) Find h, the x-coordinate of the vertex of this parabola.

I got the answer to be -2
Thank You

1 solutions

Answer 78259 by edjones(7569) About Me  on 2007-11-01 12:34:57 (Show Source):
You can put this solution on YOUR website!
UR correct.
Congrats
Ed


Inequalities/107469: I am having problems absolute value solving inequalities. I have two problems. I think I solved them, but I am not 100% sure.
|5x+6|>26
x| x<-4 or x>4
the second problem is:
|2x-4| =16
x= -6 and 10
1 solutions

Answer 78258 by edjones(7569) About Me  on 2007-11-01 12:30:24 (Show Source):
You can put this solution on YOUR website!
|5x+6|>26
.
5x+6>26
5x>20
x>4
.
5x+6<-26
5x<-32
x<-32/5
.
The second problem is correct.
.
Ed


Polynomials-and-rational-expressions/107389: Hello,
Can anyone help me to solve this problem? I can't seem to get the correct answer.
6ax+2-15x-5
Thanks
1 solutions

Answer 78254 by edjones(7569) About Me  on 2007-11-01 12:15:41 (Show Source):
You can put this solution on YOUR website!
6ax+2-15x-5
=6ax-15x-3


Polynomials-and-rational-expressions/107453: Divide:
x^2 – 3x + 2 / 7x – 14 ÷ x^2 – 1 / 7x + 7

Thank You!!! You guys are Great!!
1 solutions

Answer 78251 by edjones(7569) About Me  on 2007-11-01 12:04:10 (Show Source):
You can put this solution on YOUR website!
((x^2–3x+2)/(7x–14))/((x^2–1)/(7x+7))
((x^2–3x+2)/(7x–14))*((7x+7)/(x^2-1))
((x-2)(x-1)/7(x–2))*(7(x+1)/(x+1)(x-1))=1
Everything cancels.
Ed



Exponential-and-logarithmic-functions/107431: How do u find the exact value for x
that satisy the equation
x-ex%5E-1+=+e%28x-ex%5E-1%29
1 solutions

Answer 78206 by edjones(7569) About Me  on 2007-11-01 04:55:10 (Show Source):
You can put this solution on YOUR website!
x-ex%5E-1+=+e%28x-ex%5E-1%29
Let a=(x-ex^-1)
a=ea
a=0
x-ex^-1=0
x-e/x=0
-x+e/x=0
e/x=x
e=x^2
x=+-sqrt(e)
Ed


Polynomials-and-rational-expressions/107434: Please help me solve this polynomial equation.
Find 'K' so that 9x^2+kx+4=0 has exactly one root.
1 solutions

Answer 78204 by edjones(7569) About Me  on 2007-11-01 04:21:01 (Show Source):
You can put this solution on YOUR website!
9x^2+kx+4=0
Let k=b to avoid later confusion with a different k in another formula later in the problem
9x^2+bx+4=0
An quadratic equation has one root when its vertex is the root.
Vertex=(h,k). k=0 because the vertex touches the x line (k=0)
f(x)=a(x-h)^2+k Standard form of a quadratic function.
=9(x-h)^2+0
=9(x-h)^2
9h^2=4
3h=+-2 sqrt of both sides.
h=+-2/3
since the equation calls for b being positive then h= -2/3
9(x+(2/3))^2
=9(x^2+4x/3+4/9
=9x^2+12x+4
b=12 Answer
Note in the graph that there is only one answer for x at x= -2/3
Ed
graph%28500%2C500%2C-3%2C3%2C-2%2C10%2C9x%5E2%2B12x%2B4%29