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Answer 99280 by checkley77(12569) on 2008-04-06 15:19:40 (Show Source):
You can put this solution on YOUR website!(X-3)/X=4/7 CROSS MULTIPLY
7(X-3)=4X
7X-21-4X=0
3X=21
X=21/3
X=7 ANSWER.
PROOF:
(7-3)/7=4/7
4/7=4/7
-----------------------------------
IF YOU MEAN X-(3/X)=4/7 THEN:
(X^2-3)/X=4/7 CROSS MULTIPLY
7(X^2-3)=4X
7X^2-21-4X=0
7X^2-4X-21=0
USING THE QUADRATIC EQUATION WE GET:
(2.04 & -1.47)
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IN THE FUTURE PLEASE MAKE BETTER USE OF THE ( ) AS YOU CAN SEE IT MAKES QUITE A DIFFERENCE HOW THESE TERMS ARE INTERPRETED.
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Radicals/135468: simplify:
3 square root b^2 divided by 4 square root b^3
a. 1 over 12 square root b
b. 12 square root b^5
c. 7 square root b^5
d. 12 square root b 1 solutions
Answer 99274 by checkley77(12569) on 2008-04-06 14:51:47 (Show Source):
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Mixture_Word_Problems/135455: This question is from textbook
What quantity of a 60% acid solution must be mixed with a 30% solution to produce 300mL of a 50% solution? 1 solutions
Answer 99262 by checkley77(12569) on 2008-04-06 14:20:44 (Show Source):
You can put this solution on YOUR website!.6x+.3(300-x)=.5*300
.6x+90-.3x=150
.3x=150-90
.3x=60
x=60/.3
x=200 ml of 60% is used.
300-200=100 ml of 30% is used.
proof:
.6*200+.3*100=150
120+30=150
150=150
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Miscellaneous_Word_Problems/135389: The area of a rectangular field is 1200m^2. Two parallel sides are fenced with aluminum at $20/m. The remaining two sides are fenced with steel at $10/m. The total cost of the fencing is $2200. What is the length of each side fenced with aluminum and what is the length of each side fenced with steel? 1 solutions
Answer 99234 by checkley77(12569) on 2008-04-06 11:30:59 (Show Source):
You can put this solution on YOUR website!XY=1200 OR X=1200/Y
2*20X+2*10Y=2200
40X+20Y=2200
40(1200/Y)+20Y=2200
48,000/Y+20Y=2200
(48,000+20Y^2)/Y=2200 CROSS MULTIPLY
48,000+20Y^2=2200Y
20Y^2-2200Y+48,000=0
20(Y^2-110Y+2,400)=0
20(Y-30)(Y-80)=0
Y-30=0
Y=30 ANSWER
X=1200/30
X=40 ANSWER
Y-80=0
Y=80 ANSWER
X=1200/80
X=15 ANSWER.
PROOFS:
30*40=1200
1200=1200
80*15=1200
1200=1200
2*20*40+2*10*30=2200
1600+600=2200
2200=2200
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Linear_Equations_And_Systems_Word_Problems/135415: This question is from textbook
PLease help me with this word problem!
The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73%in 2000. Let 1970 be year 0 and 2000 be year 30.
a) Find and interpret the slope of the line through the points (0,55) and (30, 73)
b) Find the equation of the line in part (a)
c)What is the meaning of the y-intercept
d)Use the equation to predict the percentage in 2010.
e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%? 1 solutions
Answer 99229 by checkley77(12569) on 2008-04-06 11:08:30 (Show Source):
You can put this solution on YOUR website!A) SLOPE=(73-55)/(30-0)=18/30=3/5=.6 IS THE SLOPE.
B) Y=mX+b
55=.6*0+b
b=55% THE Y INTERCEPT.
C) THE Y INTERCEPT IS THE VALUE FOR YEAR 0 IN THIS PROBLEM.
D) IN 2010 (YEAR 40) THE Y VALUE WILL BE:
Y=.6*40+55
Y=24+55
Y=79% ANSWER FOR THE PROJECTION OF UNMARRIED WOMEN.
E) THE PROJECTION FOR 100% IS:
100=.6X+55
.6X=100-55
.6X=45
X=45/.6
X=75 OR THE YEAR 1970+75=2045 THIS PROJECTION SHOWS 100% OF THE WOMEN HAVE NEVER BEEN MARRIED.
--------------------------------------
THEN WHAT HAPPENS?????????????????????????????????
WHO GETS TO CLEAN UP THE MESS WE'VE LEFT???????????????
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Numeric_Fractions/135332: y=(3/4)x+12
2x/3+1/2=2
I need help on solving these equations 1 solutions
Answer 99178 by checkley77(12569) on 2008-04-05 18:21:44 (Show Source):
You can put this solution on YOUR website!Y=3X/4+12 IF THIS IS A LINE EQUATION THEN:
 (graph 300x200 pixels, x from -6 to 15, y from -10 to 20, 3x/4 +12).
FOR SETS OF POINTS ONN THIS LINE SET X=TO ANY INTEGER & SOLVE FOR Y.
THUS IF X=0 THEN Y=3*0/4+12=12 OR (0,12) IS ONE SET OF VALUES.
IF X=4 THE Y=3*4/4+12=12/4+12=3+12=15 OR (4,15)
---------------------------------------------------------
2x/3+1/2=2
2x/3=2-1/2
2x/3=3/2 now cross multiply
2*2x=3*3
4x=9
x=9/4 answer.
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Coordinate-system/135338: This question is from textbook elementry algebra
Here is the question,graph the equation by finding (3)three ordered pair that satisfy the following equations y= -3x +4 I come up short of the book answer
Thank you for any help that you can provide 1 solutions
Answer 99177 by checkley77(12569) on 2008-04-05 18:12:38 (Show Source):
You can put this solution on YOUR website!TERE ARE AN INFINITE NUMBER OF PAIRS (X,Y) TO ANY LINE. DON'T FEEL BAD IF YOU DON'T FIND THEIRS.
Y=-3X+4
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x +4).
THE BEST WAY TO MATCH THEIR PAIRS IS TO SUBSTITUTE ANY NUMBER FOR X & SOLVE FOR Y.
THUS IF X=1 THEN:
Y=-3*1+4
Y=-3+4
Y=1 ANSWER (1,1)
IF X=4 THEN:
Y=-3*4+4
Y=-12+4
Y=-8 ANSWERN(4,-8)
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Linear-systems/135340: I have three questions if that is ok.
Solve for x: 5x - 12 = 4x + 5
Solve for x: -3(4x+3)-2 = 7 -2x + 3
Solve for x: (x + 3)/4 - 3/2 = (x + 4)/8
thank you in advance for you help 1 solutions
Answer 99174 by checkley77(12569) on 2008-04-05 17:52:56 (Show Source):
You can put this solution on YOUR website!I'LL LEAVE THE PROOFS TO YOU: IT'S GREAT PRACTICE.
------------------------------------------------
5X-12=4X=5
5X-4X=5+12
X=17 ANSWER.
--------------------
-3(4X+3)-2=7-2X+3
-12X-9-2=-2X+10
-12X+2X=10+11
-10X=21
X=21/-10 ANSWER.
-----------------------
(X+3)/4-3/2=(X+4)/8
(X+3)/4-(X+4)/8=3/2
[2(X+3)-(X+4)]/8=3/2
[2X+6-X-4]/8=3/2
[X+2]/8=3/2 NOW CROSS MULTIPLY.
2[X+2]=8*3
2X+4=24
2X=24-4
2X=20
X=20/2
X=10 ANSWER.
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Travel_Word_Problems/135344: Katy leaves City A for City B at 8 A.M., driving at 52 mi/h. At 10 A.M., Jensen leaves City B for City A, driving at 61 mi/h along the same route. If the cities are 443 mi apart, at what time (P.M.) will they meet? 1 solutions
Answer 99173 by checkley77(12569) on 2008-04-05 17:38:40 (Show Source):
You can put this solution on YOUR website!52X+61(X-2)=443
52X+61X-122=443
113X=443+122
113X=565
X=565/113
X=5 HOURS AFTER KATY LEAVES THEY WILL MEET.
8+5=13 OR 1 PM.
PROOF
52*5+61*3=443
260+183=443
443=443
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Miscellaneous_Word_Problems/135351: Suppose the width of a certain rectangle is 1 inch more than one-fourth of its lenght. the perimeter of the rectangle is 42 inches. find the lenght and width of the rectangle. 1 solutions
Answer 99172 by checkley77(12569) on 2008-04-05 17:32:28 (Show Source):
You can put this solution on YOUR website!LET WIDTH=L/4+1 WHERE L IS THE LENGTH.
2W+2L=42
2(L/4+1)+2L=42
2L/4+2+2L=42
2L/4+2L=42-2
(2L+4*2L)/4=40
(2L+8L)/4=40
10L/4=40
10L=4*40
10L=160
L=160/10
L=16 FOR THE LENGTH.
W=16/4+1
W=4+1
L=5 FOR THE LENGTH.
PROOF:
2*16+2*5=42
32+10=42
42=42
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Miscellaneous_Word_Problems/135353:
Annilee's present age is two-thirds of Jessie's present age. In 12 years the sum of their ages will be 54 years. Find their present ages. 1 solutions
Answer 99169 by checkley77(12569) on 2008-04-05 17:21:54 (Show Source):
You can put this solution on YOUR website!A=2J/3
IN 12 YEARS A WILL BE A+12
IN 12 YEARS J WILL BE J+12
USING THE (2J/3) FOR A's GURRENT AGE WE ADD 12 YEARS OR 2J/3+12
USING J+12 FOR J's AGR 12 YEARS FROM NOW.
ADDING THESE 2 AGES WE GET:
2J/3+12+J+12=54
2J/3+J=54-12-12
5J/3=54-24
5J/3=30
5J=3*30
5J=90
J=90/5
J=18 IS THE CURRENT AGE OF J.
A=2*18/3=36/3=12 IS THE CURRENT AGE OF A.
PROOF
18+12+12+12=54
54=54
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Miscellaneous_Word_Problems/135354: One of two supplementary angles is 4 degree more than one-third of the other angle. find the measure of each angle. 1 solutions
Answer 99167 by checkley77(12569) on 2008-04-05 17:15:09 (Show Source):
You can put this solution on YOUR website!SUPPLEMENTARY ANGLES (2) ADD UP YO 180 DEGREES.
THEREFORE:
X=Y/3+4 & X+Y=180
THUS WE HAVE THE EQUATION
(Y/3+4)+Y=180
Y/3+4+Y=180
Y/3+Y=180-4
(Y+3Y)/3=176
4Y=176*3
4Y=528
Y=528/4
Y=132 DEGREES IS THE LARGER ANGLE.
X=132=180
X=180-132
X=48 DEGREES FOR THE SMALLER ANGLE.
PROOF:
132/3+4+132=180
44+4+132=180
180=180
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Triangles/135325: I tried solving this question but trial and error but I was wondering if there is a formula to use?
In triangle ABC,angle A is 5 times angle B, and angle c is 16 degrees less than angle b. What are the measures of the three angles?
I got Angle A-140 Angle B-28 and ANgle C-12 because I know all angles on a triangle must equal 180 degrees. Is this right and is there a formula to solve it?
Thank you! 1 solutions
Answer 99148 by checkley77(12569) on 2008-04-05 08:35:39 (Show Source):
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Graphs/135184: Find the equation of the line with slope 6 that goes through the point (6,4). Write your answer in slope-intercept form. 1 solutions
Answer 99040 by checkley77(12569) on 2008-04-04 10:09:27 (Show Source):
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Graphs/135196: Find the equation of the line through the point (4,3)that is perpendicular to y=4x-8. Write your answer in slope-itercept form 1 solutions
Answer 99039 by checkley77(12569) on 2008-04-04 10:05:22 (Show Source):
You can put this solution on YOUR website!Y=4X+8 (RED LINR)HAS A SLOPE=4.
THEREFORE ANY PERPENDICULAR LINE HAS A SLOPE=-1/4.
3=-1/4*4+b
3=-1+b
b=3+1
b=4 THE Y INTERCEPT.
Y=-X/4+4 ANSWER (GREEN LINE)
 (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 4x +8 and -x/4 +4).
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Miscellaneous_Word_Problems/135145: solve :
1) The sum of the page numbers on facing pages of a book is 157; what are the page numbers?
2) A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than an apple, how much does each fruit cost?
3) A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost $32, what was the sales tax rate?
1 solutions
Answer 99035 by checkley77(12569) on 2008-04-04 09:53:23 (Show Source):
You can put this solution on YOUR website!x+x+1=157
2x=157-1
2x=156
x=156/2
x=78 answer for the first page.
78+1=79 answer for the next page.
proof:
78+79=157
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3A+7O=4.56
O=A+.28
3A+7(A+.28)=4.56
3A+7A+1.96=4.56
10A=4.56-1.96
10A=2.60
A=2.60/10
A=.26 PRICE OF 1 APPLE.
O=.26+28
O=.54 COST OF 1 ORANGE.
PROOF
3*.26+7*.54=4.56
.78+3.78=4.56
4.56=4.56
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