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edjones answered: 7568 problems
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Radicals/182943: SOlve and explain:
9x-2
_____
2-9x
a) 1
b) 9x=2d
c) -1
d) 0
e) 2x-9
1 solutions

Answer 137478 by edjones(7569) About Me  on 2009-02-21 23:06:06 (Show Source):
You can put this solution on YOUR website!
Make a table for: y=(9x-2)/(2-9x)
Whatever value of x you put in the value of y will be the same -1.
.
Ed


Expressions-with-variables/183075: 2. 3(y-2)/5=1-3y
1 solutions

Answer 137477 by edjones(7569) About Me  on 2009-02-21 22:55:13 (Show Source):
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3(y-2)/5=1-3y
3(y-2)=5(1-3y) multiply each side by 5.
3y-6=5-15y
18y=11
y=11/18


Inequalities/182941: Can you please show me how to solve this problem:

1 solutions

Answer 137338 by edjones(7569) About Me  on 2009-02-20 20:33:27 (Show Source):
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2r/3 + 9 >= -3
2r+27>=-9 multiply each side by 3 to eliminate fraction.
2r>= -36
r>= -18
.
Ed


Exponents/182835: This question is from textbook saxon algebra 2
Use the Binomial Theorem to expand (3r-s)^5.
I worked it out to 243r^5-405r^4s+270r^3s^2-90r^2s^3+15rs^4-s^5
Am I correct?
1 solutions

Answer 137261 by edjones(7569) About Me  on 2009-02-20 01:23:58 (Show Source):
You can put this solution on YOUR website!
You wrote a 2 instead of an s in your original equation. I changed it.
Otherwise you got it correct.
Ed


Numeric_Fractions/182838: This question is from textbook saxon algebra 2
3/a + 4 over 5 - 2/b
Simplify. I worked it out to= 4ab + 3b over 5ab - 2a
Am I correct?
1 solutions

Answer 137260 by edjones(7569) About Me  on 2009-02-20 01:13:22 (Show Source):
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3/a + 4/5 - 2/b
=(15b+4ab-10a)/5ab
.
Ed


real-numbers/182655: This question is from textbook Intermediate algebra
2 sq rt3 + sq rt7 over 3 sqrt3 - sqrt7
1 solutions

Answer 137143 by edjones(7569) About Me  on 2009-02-19 01:21:03 (Show Source):
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{[2sqrt(3)+sqrt(7)]/[3sqrt(3)-sqrt(7)]}
={[2sqrt(3)+sqrt(7)]/[3sqrt(3)-sqrt(7)]} * {[3sqrt(3)+sqrt(7)]/[3sqrt(3)+sqrt(7)]} So as to eliminate sqrts in the denominator (not allowed in an answer).(a-b)(a+b)=a^2-b^2 with a=3sqrt(3) and b=sqrt(7)
=[18+5sqrt(21)+7]/(27-7)
=[25+5sqrt(21)]/20
=[5+sqrt(21)]/4
.
Ed


Polynomials-and-rational-expressions/182342: This question is from textbook
Ratio and Proportion
Susie is making a cake for 5 people. She needs 1.5 cups flour and 2 cups sugar.
She finds 4.5 cups of flour and 8.5 cups sugar, if he uses the recipe to make the
largest cake possible, how many will it serve?
1 solutions

Answer 137000 by edjones(7569) About Me  on 2009-02-18 01:32:16 (Show Source):
You can put this solution on YOUR website!
4.5/1.5=3
8.5/2=4.25
she can make 3x the recipe.
3*5=15 can be served.
.
Ed


test/182371: This question is from textbook Business Mathematics
The maturity date of a 6-month note dated December 19, 2008 would be
a) June 19, 2008
b) June 19, 2007
c) December 19, 2009
d) None of these
1 solutions

Answer 136999 by edjones(7569) About Me  on 2009-02-18 01:23:53 (Show Source):


Radicals/182383: This question is from textbook
how would you simplify this equation +4x%5E2+%2B+80+=+0? thank you
1 solutions

Answer 136998 by edjones(7569) About Me  on 2009-02-18 01:19:58 (Show Source):
You can put this solution on YOUR website!
4x^2 + 80 = 0
x^2+20=0 divide each side by 4
x^2=-20
x=+-sqrt(-20)
=+-sqrt(-1*5*4)
x=+-(2sqrt(5)i)
x=2sqrt(5)i, x=-2sqrt(5)i
.
Ed


Age_Word_Problems/182393: Todd is half as old as his father. Twelve years ago , todd was one third as old as his father. how old is each now?
1 solutions

Answer 136996 by edjones(7569) About Me  on 2009-02-18 01:08:30 (Show Source):
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Let t be tod, f be father
2t=f
3(t-12)=f-12
3t-36=2t-12 substitute 2t for f.
t=24
f=48
.
Ed


Distributive-associative-commutative-properties/182447: 2x + -13x - 36
1 solutions

Answer 136994 by edjones(7569) About Me  on 2009-02-18 00:57:48 (Show Source):


Probability-and-statistics/182462: Mr. Rodney's English class is made up of 28 students. He has 6 ESL students, 10 remedial student, and 5 advanced learners. ESL students make up 1/5 of the remedial students and 3/5 of the advanced learners.
1.) What is the probability that a student is ESL and remedial?
2.) What is the probability that a student is ESL and an advanced learner?
3.) What is the probability that a student is remedial and NOT ESL?
Thank you for your help.
1 solutions

Answer 136991 by edjones(7569) About Me  on 2009-02-18 00:54:42 (Show Source):
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r=remedial only, a=advanced only, e=esl only, s=students who are not r, e, or a
8 r
2 re
2 a
3 ae
1 e
12 s
----add
28
.
1) 2/28 = 1/14
2) 3/28
3) 8/28 = 2/7
.
Ed


Numeric_Fractions/182464: What are the Greatest Common Factors:
45,76=
39,52=
42,72,84=
48,64,96=
36,54,135=
1 solutions

Answer 136985 by edjones(7569) About Me  on 2009-02-18 00:35:40 (Show Source):
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A)
45: ======3, 3, 5
76: 2, 2, ======== 19
None
.
B)
39: ===== 3, 13
52: 2, 2,=== 13
13 Ans
.
C
42: 2, ==== 3, =======7
72: 2, 2, 2, 3, 3,
84: 2, 2,== 3,========7
Ans 2*3=6 Only 2 columns have identical numbers in all 3 rows. Multiply those 2 numbers for LCM.
.
D)
48: 2, 2, 2, 2, ======3
64: 2, 2, 2, 2, 2, 2
96: 2, 2, 2, 2, 2, ===3
2*2*2*2=16
.
E)
36: 2, 2, 3, 3
54: 2, == 3, 3, 3
135: ====3, 3, 3, 5
3*3=9
.
Ed


Trigonometry-basics/181712: Right triangle - If the measure of angle B is 35degrees, and b=11, then c(the hypotenuse) =? I know that angle A = 55degrees, angle B=35degrees, and angle C=90 degrees, but I am missing sides a and c. The side I need to solve for is c. Thanks in advance for your help.
1 solutions

Answer 136437 by edjones(7569) About Me  on 2009-02-13 14:50:06 (Show Source):
You can put this solution on YOUR website!
Law of sines: b/sin(b)=c/sin(b)
11/.5736...=c/1
c=19.18...
.
Ed


Distributive-associative-commutative-properties/181689: (4x^2+2x)+(-3x^2+-4x+8)
1 solutions

Answer 136434 by edjones(7569) About Me  on 2009-02-13 14:33:52 (Show Source):
You can put this solution on YOUR website!
(4x^2+2x)+(-3x^2-4x+8)
=4x^2+2x-3x^2-4x+8
=x^2-2x+8
.
Ed


Miscellaneous_Word_Problems/181702: In their freshman years, Kirsten took 43 credit hours and Beth took 47 credit hours. If Kirsten took only 5-credit courses and Beth took only 3-credit courses after their freshman years, how many credits did they have when they had the same number?
1 solutions

Answer 136432 by edjones(7569) About Me  on 2009-02-13 14:30:07 (Show Source):
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5-3=2 Kisten gains 2 credits for each course they both take.
After they both take 2 courses the will be tied.
43+2(5)=53
47+2(3)=53
.
Ed


Expressions-with-variables/181830: 52%2F3x - 16 = 50
I submited this question before but I couldnt understand the answer I was given. Please show your work, and if you can please explain how you recieved the answer.
Thank you
1 solutions

Answer 136430 by edjones(7569) About Me  on 2009-02-13 14:24:15 (Show Source):
You can put this solution on YOUR website!
5 2/3 x - 16 = 50
17x/3 - 16 = 50
17x-48=150 multiply each side by 3 (LCM) to eliminate fractions.
17x=198
x=198/17
.
Ed


Expressions-with-variables/181833: 21%2F2 OVER x = 10%2F3
21%2F2 is the numerator and x is the denomanator, I need to figure out what x is. I dont know how to slove a problem with a fraction like this. I have submited this problem before but couldnt understand the answer. So please show your work and please explain how you got the answer. And if you can could you please explain to me why the fraction is like that and what they are used for so I can better understand it in the future?
Thank You
1 solutions

Answer 136427 by edjones(7569) About Me  on 2009-02-13 14:06:37 (Show Source):
You can put this solution on YOUR website!
2.5/x=10/3
7.5=10x multiply each side by 3x (LCM) to eliminate fractions.
x=.75
.
Another way:
2 1/2 = 5/2
5/2 / x = 5/2 * 1/x = 5/2x
5/2x = 10/3
15=20x multiply each side by 6x (LCM) to eliminate fractions.
x=.75
Ed


test/181811: This question is from textbook Business Mathematics
Bryce insured his home for $132,000. If the rate is $0.43 per $100, how much is his annual premium?
a) $5,676
b) $56.76
c) $567.60
d) None of these
1 solutions

Answer 136425 by edjones(7569) About Me  on 2009-02-13 13:59:52 (Show Source):
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132000/100=1320
1320*.43=$567.60
.
Ed


Polynomials-and-rational-expressions/181832: This question is from textbook
x^2-x-12
________
x^2-16
Please show steps and help solve. Thank you
1 solutions

Answer 136424 by edjones(7569) About Me  on 2009-02-13 13:55:51 (Show Source):
You can put this solution on YOUR website!
(x^2-x-12)/(x^2-16)
=[(x-4)(x+3)]/[(x+4)(x-4)] Factor
=(x+3)/(x+4) Cancel
.
Ed


Linear-equations/181730: 0.1x - 0.09y = 0.18
0.02x + 0.06 y = 0.01

I need to find x y using addition method
1 solutions

Answer 136422 by edjones(7569) About Me  on 2009-02-13 13:51:55 (Show Source):
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0.1x - 0.09y = 0.18
0.02x + 0.06 y = 0.01
.
0.1x-0.09y=0.18
-.1x-.30y =-.05
--------------- Add
====>-.39y=.13
.
3y=1
y=-1/3
x=3/2
.
Ed


Linear-equations/181806: Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1 bills. There are 22 bills in all. How many of each kind are there?

1 solutions

Answer 136413 by edjones(7569) About Me  on 2009-02-13 13:25:54 (Show Source):
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Let n=number of ones, v=number of fives.
n+5v=50
n+v=22
------- subtract
4v=28
.
v=7
n=15
.
Ed


Mixture_Word_Problems/181815: This question is from textbook Algebra for college students
Missing numbers. Find two real numbers that have a sum of 6 and a product of 4.
1 solutions

Answer 136410 by edjones(7569) About Me  on 2009-02-13 13:18:43 (Show Source):
You can put this solution on YOUR website!
x+y=6
y=6-x
.
x*y=4
x(6-x)=4 substitute 6-x for y
6x-x^2=4
x^2-6x=-4 multiply each side by -1.
x^2-6x+4=0
x=sqrt(5)+3, x=-sqrt(5)+3
.
Ed


Mixture_Word_Problems/181369: Supplementary angles are two angles whose measures have the sum of 180 degrees. Angles X and Y are supplementary, and the measure of angle X is 24 degrees greater than the measure of angle Y. Find the measures of angles X and Y.
1 solutions

Answer 136069 by edjones(7569) About Me  on 2009-02-11 01:25:32 (Show Source):
You can put this solution on YOUR website!
x=y+24
x+y=180
.
y+24+y=180 Substitute y+24 for x.
2y=156
y=78 degrees
x=102 degrees
.
Ed


Radicals/181140: This question is from textbook
solve equasion:
square root of 2x+1/6=x+5/6

1 solutions

Answer 135900 by edjones(7569) About Me  on 2009-02-10 01:27:11 (Show Source):
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2x+1/6=x+5/6
12x+1=6x+5 multiply each side by 6 to eliminate fractions.
6x=4
x=4/6
=2/3
.
Ed


Human-and-algebraic-language/181173: Victor is building a fence around a rectangular play area. The area measures 10yrds by 6yrds. He must dig post holes at the corners and every 2yrds along the perimeter. How many post holes does Victor have to dig?
1 solutions

Answer 135899 by edjones(7569) About Me  on 2009-02-10 01:23:24 (Show Source):
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Draw a diagram. Put marks for the post holes. You will see that 16 are required.


Square-cubic-other-roots/181247: sqrt(27y) - sqrt (75y) =
1 solutions

Answer 135898 by edjones(7569) About Me  on 2009-02-10 01:14:26 (Show Source):
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sqrt(27y) - sqrt (75y)
=sqrt(9*3)-sqrt(3*25)
=3sqrt(3)-5sqrt(3)
=-2sqrt(3)
.
Ed


Square-cubic-other-roots/181244: x^2-x-6 over x^2-2x-8 Divided by x^2-9 over x^2+7x+12



I had no clue how to write this equation out


1 solutions

Answer 135897 by edjones(7569) About Me  on 2009-02-10 01:11:46 (Show Source):
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It's not an equation.
(x^2-x-6)/(x^2-2x-8) / (x^2-9)/(x^2+7x+12)
=[(x-3)(x+2)]/[(x-4)(x-2)] * [(x+4)(x+3)]/[(x+3)(x-3)] Factor and put in a times sign and invert the 2nd fraction.
=[(x+2)]/[(x-4)(x-2)] * (x+4) Cancel.
=(x^2+6x+8)/(x^2-6x+8)
.
Ed


Equations/181029: 2x - 5squareroot x + 2 =0
1 solutions

Answer 135693 by edjones(7569) About Me  on 2009-02-09 00:41:15 (Show Source):
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2x-5sqrt(x+2)=0
2x=5sqrt(x+2)
4x^2=25(x+2) square each side.
4x^2=25x+50
4x^2-25x-50=0
x=[5(sqrt(57)+5)]/8 is the only correct answer for this problem.
.
Ed
.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 4x%5E2%2B-25x%2B-50+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-25%29%5E2-4%2A4%2A-50=1425.

Discriminant d=1425 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--25%2B-sqrt%28+1425+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-25%29%2Bsqrt%28+1425+%29%29%2F2%5C4+=+7.84364652204422
x%5B2%5D+=+%28-%28-25%29-sqrt%28+1425+%29%29%2F2%5C4+=+-1.59364652204422

Quadratic expression 4x%5E2%2B-25x%2B-50 can be factored:
4x%5E2%2B-25x%2B-50+=+%28x-7.84364652204422%29%2A%28x--1.59364652204422%29
Again, the answer is: 7.84364652204422, -1.59364652204422. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-25%2Ax%2B-50+%29



decimal-numbers/180962: This question is from textbook
3.98*10^-8 M
1 solutions

Answer 135690 by edjones(7569) About Me  on 2009-02-09 00:16:02 (Show Source):
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(1/398,000,000) M


percentage/180976: Two hundred and seventy students wrote an exam in which 35 students got a higher mark than Paula and eight got the same mark as Pauls, which is 83%. Her percentile rank in the class is?
a. 85
b. 86
c. 83
d. 84
1 solutions

Answer 135689 by edjones(7569) About Me  on 2009-02-09 00:08:58 (Show Source):
You can put this solution on YOUR website!
235, 234, 233, 232, 231, 230, 229, 228, are all tied.
Their mean is 231.5
n=Np/100+.5 Where n=numerical rank, N=number of values, p=percentile
231.5=270p/100 + .5
2.7p=231
p=85.556
p=86
.
Ed