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checkley71 answered: 8399 problems
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Polynomials-and-rational-expressions/64409: Factor completely. ax – ay + x^2 – xy
1 solutions

Answer 45049 by checkley71(8403) About Me  on 2006-12-09 10:59:48 (Show Source):
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AX-AY+X^2-XY
A(X-Y)+X(X-Y)
(A+X)(X-Y)


Polynomials-and-rational-expressions/64410: Factor completely. x^2 – 4
1 solutions

Answer 45048 by checkley71(8403) About Me  on 2006-12-09 10:57:49 (Show Source):
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X^2-4
(X-2)(X+2)


Equations/64355: 3x+7=19
1 solutions

Answer 45029 by checkley71(8403) About Me  on 2006-12-08 22:20:54 (Show Source):
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3X+7=19
3X=19-7
3X=12
X=12/3
X=4 SOLUTION
PROOF
3*4+7=19
12+7=19
19=19


Coordinate-system/64377: This question is from textbook An Incremental Development
Find the distance between (-5, -2) and (4, -3)
1 solutions

Answer 45028 by checkley71(8403) About Me  on 2006-12-08 22:18:20 (Show Source):
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THE DISTANCE BETWEEN THE X POINTS IS 4-(-5)=4+5=9
THE DISTANCE BETWEEN THE Y POINTS IS -3-(-2)=-3+2=-1
THUS WE HAVE A TRIANGLE WITH SIDES 9 & 1.
TO FIND THE HYPOTENUSE WE USE THE PATHAGOREAN FORMULA A^2+B^2=C^2 (C^2 BEING THE HYPOTENUSE.
1^2+9^2=C^2
1+81=C^2
C^2=82
C=SQRT82
C=9.0553851 OR THE DISTANCE BETWEEN THESE TWO POINTS.


Numeric_Fractions/64258: can you please help me in these solution I really i appriciated thank you
1) Multiply: [(1/4)z + (1/3)][(1/4)z - (1/5)]


2)Simplify and evaluate:
(22x5y-3z4/40x-2y-8z5)3
thank you so much
1 solutions

Answer 45027 by checkley71(8403) About Me  on 2006-12-08 22:10:13 (Show Source):
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(1/4Z+1/3)(1/4Z-1/5)
1/4X*1/4Z+1/4Z*1/3-1/5*1/4Z+1/3*-1/5
1/16Z^2+1/12Z-1/20Z-1/15
1/16Z^2+(5/60Z-3/60Z)-1/15
1/16Z^2+2/60Z-1/15
----------------------------------------------------------------------


Quadratic_Equations/64378: This question is from textbook An Incremental Development
please help to solve :
2 - 3x / 5 + x/3 = 4



1 solutions

Answer 45024 by checkley71(8403) About Me  on 2006-12-08 21:52:58 (Show Source):
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2-3X/5+X/3=4
-3X/5+X/3=4-2 FIND A COMMON DENOMINATOR FOR 3 & 5 WHICH IS 15
[(-3X)3+5X]/15=2
(-9X+5X)/15=2
-4X/15=2 CROSS MULTIPLY & WE GET
-4X=30
X=30/-4
X=-7.5
PROOF
2-3(-7.5)/5-7.5/3=4
2+22.5/5-7.5/3=4
2+4.5-2.5=4
6.5-2.5=4
4=4


Polynomials-and-rational-expressions/64391: This question is from textbook Algebra Structure and Method
Randy and Amy left school at the same time and began walking in opposite diretions. Randy walked at a rate of 3.6 km/h and Amy walked at a rate of 4.2 km/h. How far apart were they after 10 minutes.
1 solutions

Answer 45022 by checkley71(8403) About Me  on 2006-12-08 21:45:26 (Show Source):
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DISTANCE=RATE*TIME. THEREFORE
X=3.6*1/6+4.2*1/6 (1/6 HOUR=10 MIN)
X=.6+.7
X=1.3 KM IS HOW FAR THEY WIL BE APART AFTER 10 MINUTES.


Numbers_Word_Problems/64290: This question is from textbook Algebra
hi!
could you help me with this word problem.
thanks.
the sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. find the number.
1 solutions

Answer 44925 by checkley71(8403) About Me  on 2006-12-07 21:46:52 (Show Source):
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X+Y=15 OR X=15-Y
3X=5Y-11 SUBSTITUTING (15-Y) FOR X WE GET
3(15-Y)=5Y-11
45-3Y=5Y-11
-3Y-5Y=-11-45
-8Y=-56
Y=-56/-8
Y=7 SOLUTION
THEN X=15-7
X=8 SOLUTION
PROOF
3*8=5*7-11
24=35-11
24=24


Equations/64289: i have $1.70 in dimes and quarters. i have 3 more dimes than quarters. how many of each coin do i have?....I am the father of a 7th grader trying to explain this to her...thanks for your help...
1 solutions

Answer 44924 by checkley71(8403) About Me  on 2006-12-07 21:38:17 (Show Source):
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10D+25Q=170
D=3+Q SO WE HAVE
10(3+Q)+25Q=170
30+10Q+25Q=170
35Q=170-30
35Q=140
Q=140/35
Q=4 SO WE HAVE 4 QUARTERS &
D=3+4=7 DIMES
PROOF
10*7+25*4=170
70+100=170
170=170


Polygons/64267: 46*180
1 solutions

Answer 44923 by checkley71(8403) About Me  on 2006-12-07 21:31:23 (Show Source):
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46*180=8280.
WHY IS THIS A GEOMETRY:POLYGONS PROBLEM?


Travel_Word_Problems/64261: This question is from textbook Algebra 1
A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph takes 104 hours less to make the same trip. How far apart are the two cities?
1 solutions

Answer 44922 by checkley71(8403) About Me  on 2006-12-07 21:29:36 (Show Source):
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DISTANCE=RATE*TIME
DISTANCE=33(T+104)
DISTANCE=605T SEEING AS THE DISTANCES ARE THE SAME WE HAVE
33(T+104)=605T
33T+3432=605T
3432=605T-33T
572T=3432
T=3432/572
T=6 HOURS FOR THE PLANE &
6+104=110
PROOF
33(110)=605*6
3630=3630


Functions/64275: Find the slope of the line through the following pairs of points.
(-5, -3) and (-5, 2)
1 solutions

Answer 44921 by checkley71(8403) About Me  on 2006-12-07 21:23:23 (Show Source):
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SLOPE=(Y2-Y1)/(X2-X1)
SLOPE=(2+3)/(-5+5)
SLOPE=5/0 OR AN UNDEFINED SLOPE WHICH IS A VERTICLE LINE THROUGH X=-5


decimal-numbers/64278: Change the fraction to a decimal. 3/40
1 solutions

Answer 44920 by checkley71(8403) About Me  on 2006-12-07 21:21:18 (Show Source):
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3/40=X/1000
40X=3000
X=3000/40
X=75
75/1000=.075


Functions/64280: The revenue for a sandwich shop is directly proportional
to its advertising budget. When the owner spent $2000 a month on advertising, the
revenue was $120,000. If the revenue is now $180,000, how much is the owner
spending on advertising?
1 solutions

Answer 44919 by checkley71(8403) About Me  on 2006-12-07 21:16:56 (Show Source):
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2000/120000=X/180000
120000X=36000000
X=36000000/120000
X=$3000 OR HOW MUCH THE OWNER SPENT ON ADVERTISING TO GET 180000 REVENUE.


Square-cubic-other-roots/64285: Solve for the variable: ((square root of)j) - 4 = -1
a) 9 or -9
b) -9
c) 9
d) no real solution
e) none of these
1 solutions

Answer 44918 by checkley71(8403) About Me  on 2006-12-07 21:13:16 (Show Source):
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sqrtJ-4=-1
SQRTJ=4-1
SQRTJ=3 SQUARING BOTH SIDES WE GET
J=+/-9


Miscellaneous_Word_Problems/64282: You throw three darts at the board shown at the right (scores of 1, 4 and 10). If each dart hits the board, what possible point totals can you score?
1 solutions

Answer 44917 by checkley71(8403) About Me  on 2006-12-07 21:09:01 (Show Source):
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.....1.....4.....10
.....3.............=3
...........3.......=12
..................3=30
.....2.....1.......=6
.....2............1=12
...........2......1=18
.....1.....2.......=5
.....1............2=21
...........1......2=24


Reduction-of-unit-multipliers/64211: If i need 8 oz of onion to make 1/2gal then how many ones will i need to make 1 quart and one 1/2 gal.
1 solutions

Answer 44871 by checkley71(8403) About Me  on 2006-12-07 10:56:43 (Show Source):
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set up a fractional relationship thus
8oz. onion/.5gal=x/(1quart+.5gal.)
8/.5=x/(.25+.5)
8/.5=x/.75 now cross multiply
.5x=8*.75
.5x=6
x=6/.5
x=12 oz. of onions needed to keep the same strength.


Word_Problems_With_Coins/64163: This question is from textbook Florida Prentice Hall Mathematics Pre-Algebra
you hand a costomer $0.40 in change.
a. in how many ways can you do this without using pennies?
b. for part (a), make a table.
1 solutions

Answer 44835 by checkley71(8403) About Me  on 2006-12-06 22:04:49 (Show Source):
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NICKELS...+..DIMES...+...QUARTERS...=.40
8X5.................................=.40
6X5=30....+...1X10=10..............30+.10=.40
4X5=20....+...2X10=20..............20+.20=.40
2X5=10....+...3X10=30..............10+.30=.40
0X5=0.....+...4X10..................=.40
1X5=5.....+...1X10=10....+..1X25=25..5+10=25=.40
3X5=15...................+..1X25=25..15+25=.40


Graphs/64169: Given f(x) = –x3 + 3x2 + x + 7, find f(–3), f(0), and f(1)
1 solutions

Answer 44834 by checkley71(8403) About Me  on 2006-12-06 21:54:46 (Show Source):
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F(X)=-X^3+3X^2+X+7
F(-3)=-(-3)^3+3(-3)^2-3+7
F(-3)=-(-27)+3(9)-3+7
F(-3)=27+27-3+7
F(-3)=58
---------------------------------
F(0)=-(0)^3+3(0)^2+0+7
F(0)=0+0+0+7
F(0)=7
----------------------------------
F(1)=-(1)^3+3(1)^2+1+7
F(1)=-1+3+1+7
F(1)=10


Graphs/64171: Determine which two equations represent parallel lines. Justify the answer.
(a) y = (5/7) x + 3
(b) y =(7/5) x + 5
(c) y = (7/5) x – 5
(d) y = –(5/7) x + 5

1 solutions

Answer 44831 by checkley71(8403) About Me  on 2006-12-06 21:46:19 (Show Source):
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THE SLOPE OF A LINE IS THE DETERMINING FACTOR IN IDENTIFYING IF THEY ARE PARALLEL OR PERPENDICULAR.
PARALLEL LINES HAVE THE SAME SLOPE.
THEREFORE B) Y=(7/5)+5 & C) Y=(7/5)-5 ARE PARALLEL


Geometry_Word_Problems/64022: This question is from textbook Algebra Structure and Method Book1
A rectangle is 10m longer than it is wide.If its length and width are both decreased by 2 m,its area is decreased by 48 m squared.Find its original dimensions.
1 solutions

Answer 44806 by checkley71(8403) About Me  on 2006-12-06 17:26:06 (Show Source):
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L*W=AREA
(W+10)W=(W-10-2)(W-2)+48
W^2+10W=(W-12)(W-2)+48
W^2+10W=W^2-12W-2W+24+48
10W+14W=72
24W=72
W=72/24
W=3 SOLUTION
L=3+10=13 SOLUTION
PROOF
13*3=(3-12)(3-2)+48
39=-9*1+48
39=-9+48
39=39


Systems-of-equations/64111: Hi! Could someone please help me with this problem.
Let x=4,y=-3 and z=2
xy^2-3z^2
-----------
(xy)^2(-3z)^2
1 solutions

Answer 44805 by checkley71(8403) About Me  on 2006-12-06 17:07:00 (Show Source):
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xy^2-3z^2 ......=4*(-3)^2-3(2)^2=4*9-3*4=36-12=24
-----------.........---------------------------------------------------------
(xy)^2(-3z)^2...=(4*-3)^2(-3*2)^2=-12^2*-6^2=144*36=5184
24/5184=1/216


Functions/64120: what is de anwer for

2(7)+5
1 solutions

Answer 44804 by checkley71(8403) About Me  on 2006-12-06 16:52:37 (Show Source):
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2(7)+5
14+5
19


Systems-of-equations/64153: THE difference between two different numbers in 1 {write in algebraic expressions both} and the sum of two different numbers is 14?
1 solutions

Answer 44803 by checkley71(8403) About Me  on 2006-12-06 16:50:06 (Show Source):


Equations/64154: I'm need the point-slope from for this to figure out the other froms of the equations, but im not sure how to get point-slope from from the following infromation... please help.
Line L passes through (1,-6)with slope 3/2. Write the point-slope form, slope-intercept form, and standard form of an equation for line L.
1 solutions

Answer 44802 by checkley71(8403) About Me  on 2006-12-06 16:48:02 (Show Source):
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Y=mX+b m=3/2 THE SLOPE & b=THE Y INTERCEPT
Y=3/2X+b SUBSTITUTE THE X & Y VALUES TO FIND THE Y INTERCEPT
-6=3/2*1+b
-6=3/2+b
b=-6-1.5
b=-7.5
THUS THIS LINE EQUATION IS
Y=3/2X-7.5


Miscellaneous_Word_Problems/64152: Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip?
1 solutions

Answer 44801 by checkley71(8403) About Me  on 2006-12-06 16:43:18 (Show Source):
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1800=m*c m=members & c=contribution
m=1800/c also
1800=(m-6)(c+10)
1800=(1800/c-6)(c+10)
1800=1800+18000/c-6c-60
-18000/c+60=-6c now multiply every term by c to eliminate the c in the denominator
-18000+60c=-6c^2
6c^2+60c-18000=0 divide all terms by 6
c^2+10c-3000=0
(c-50)(c+60)=0
c=50 & c=-60 the original cost is $50 then there were 1800/50=36 contributors
when 6 backed out there were 30 & they paid $60 each
proof
1800=30*60
1800=1800


Quadratic_Equations/64141: This question is from textbook An Incremental Development
Please help to solve
3x/4 - 2x - 3 / 3 = 6
1 solutions

Answer 44795 by checkley71(8403) About Me  on 2006-12-06 16:15:55 (Show Source):
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3x/4-2x-3/3=6
.75x-2x-1=6
-1.25x=6+1
-1.25x=7
x=7/-1.25
x=-5.6 solution
(3*-5.6)/4-2*-5.6-3/3=6
-16.8/4+11.2-1=6
-4.2+11.2-1=6
6=6


Functions/64053: Science and medicine. Celsius temperature readings can be converted to
Fahrenheit readings using the formula E=9/5C+32. What is the Fahrenheit
temperature that corresponds to each of the following Celsius temperatures: -10,
0, 15, 100?
1 solutions

Answer 44685 by checkley71(8403) About Me  on 2006-12-05 21:05:14 (Show Source):
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E=9/5C+32
E=9/5*10+32
E=18+32=50
--------------------
E=9/5*0+32=32
----------------------
E=9/5*15+32
P=27+32=59
---------------------
P=9/5*100+32
P=180+32=212


Functions/64054: When x number of units are sold, the price of each unit (in
dollars) is given by P=-x/2+75. Find the unit price when the following quantities
are sold: 2, 7, 9, 11.
1 solutions

Answer 44682 by checkley71(8403) About Me  on 2006-12-05 21:00:45 (Show Source):
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P=-X/2+75
P=-2/2+75
P=-1+75=74
--------------
P=-7/2+75
P=-3.5+75
P=71.5
---------------
P=-9/2+75
P=-4.5+75
P=70.5
-----------------------
P=-11/2+75
P=-5.5+75
P=69.5


Word_Problems_With_Coins/64036: Mike has 7 more nickles than quarters. In all he has $1.25. How man nickles does he have?
I'm stuck again!
1 solutions

Answer 44680 by checkley71(8403) About Me  on 2006-12-05 20:56:11 (Show Source):
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LET X BE THE NUMBER OF QUARTERS & (X+7) NICKLES THEN
25X+5(X+7)=125
25X+5X+35=125
30X=125-35
30X=90
X=90/30
X=3 QUARTERS THEN YOU HAVE 3=7=10 NICKLES
PROOF
3*25+10*5=125
75+50=125
125=125


Travel_Word_Problems/64037: Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16mi/h faster than Charlene. They meet in 5 hours. Find Carlene's speed.
Any help is appreciated.
1 solutions

Answer 44678 by checkley71(8403) About Me  on 2006-12-05 20:50:08 (Show Source):
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450=5(x+x+16)
450=5x+5x+80
10x=450-80
10x=370
x=37/10
x=37 mph solution for Charline's speed.
37+16=53 mph for Paul's speed
proof
450=5*37+5*53
450=185+265
450=450