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checkley71 answered: 8399 problems
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Linear_Equations_And_Systems_Word_Problems/92233: 1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is four-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression.
1 solutions

Answer 67095 by checkley71(8403) About Me  on 2007-08-10 21:42:23 (Show Source):
You can put this solution on YOUR website!
x=first prize value
5x/6=second prize value
(5x/6)(4/5)=third prize value
x+5x/6+20x/30
x+5x/6+2x/3
x(1+5/6+2/3)
x(6/6+5/6+4/6)
x(15/6)
x(2.5) or 2.5x


Miscellaneous_Word_Problems/92243: The sum of two numbers is 29. Their difference is 7. What are the two numbers?
1 solutions

Answer 67093 by checkley71(8403) About Me  on 2007-08-10 21:36:40 (Show Source):
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x+x+7=29
2x=29-7
2x=22
x=22/2
x=11 answer for the smaller number.
11+7=18 for the larger number.
proof
11+18=29
29=29


Linear-equations/92245: Graph f(x) = 4x + 1
1 solutions

Answer 67091 by checkley71(8403) About Me  on 2007-08-10 21:34:20 (Show Source):
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+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+4x+%2B1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 4x +1).


Miscellaneous_Word_Problems/92249: Given f(x) = –x3 – 2x2 – x – 3, find f(–2), f(0), and f(2)
1 solutions

Answer 67090 by checkley71(8403) About Me  on 2007-08-10 21:31:43 (Show Source):
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f(x)=-x^3-2x^2-x-3
f(-2)=-(-2)^3-2(-2^2)-(-2)-3
f(-2)=-(-8)-2(4)+2-3
f(-2)=8-8+2-3
f(-2)=-1
-----------------------------
just replace x with 0 then 2 & solve the same way.


Equations/92063: Please help me solve this equation:(b+1/3=2
1 solutions

Answer 67086 by checkley71(8403) About Me  on 2007-08-10 21:24:29 (Show Source):
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b+1/3=2
b=2-1/3
b=1 2/3 or 5/3 answer.
proof
5/3+1/3=2
6/3=2
2=2


Expressions-with-variables/92114: This question is from textbook algebra 1
6q+9
1 solutions

Answer 67085 by checkley71(8403) About Me  on 2007-08-10 21:20:38 (Show Source):
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if 6q+9=0 then 6q=-9 then q=-9/6 then q=-1 1/2 answer.


Numeric_Fractions/92138: -3=n over 6 + 9
be very detailed please

1 solutions

Answer 67083 by checkley71(8403) About Me  on 2007-08-10 21:16:29 (Show Source):
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-3=(n/6)+9
n/6=-3-9
n/6=-12 now cross multiply
n=-72 answer.
----------------------------------------------
or
-3=n/(6+9)
-3=n/15 cross multiply
n=-45 answer.


Numeric_Fractions/92140: (4.23)(1.6) can you kindly help me
1 solutions

Answer 67082 by checkley71(8403) About Me  on 2007-08-10 21:11:36 (Show Source):
You can put this solution on YOUR website!
xxxxxxxx4.23
xxxxxxxxx1.6
------------------
xxxxxxxx2538
xxxxxxxx423
-----------------
xxxxxxx6.768 answer


Equations/92142: please help me solve this equation: (c-5/4=3)
1 solutions

Answer 67081 by checkley71(8403) About Me  on 2007-08-10 21:07:43 (Show Source):
You can put this solution on YOUR website!
C-5/4=3
C=3+5/4
C=12/4+5/4
C=17/4 OR 4 1/4 ANSWER.


Graphs/92154: Can someone please help me with this problem it is from a work sheet.
solve the system by graphing
x+y=4
-x=y=2
1 solutions

Answer 67080 by checkley71(8403) About Me  on 2007-08-10 21:03:53 (Show Source):
You can put this solution on YOUR website!
TOO MANY = SIGNS IN THE SECOND EQUATION. FIX & RESUBMIT.


Polynomials-and-rational-expressions/92163: Write your result in scientific notation
(6 x 10^12)(3.2 x 10^8)/ (1.6 x 10^7)(3 x 10^2)
1 solutions

Answer 67079 by checkley71(8403) About Me  on 2007-08-10 20:59:46 (Show Source):
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(6x10^12)(3.2x10^8)/(1.6x10^7)(3x10^2)
(6*3.2*10^20)/(1.6*3*10^9)
(19.2*10^20)/(4.8*10^9)
(19.2/4.8)(10^20/10^9)
4*10^11


Quadratic_Equations/92157: Find the solution sets for the following:
x^4 + 2x^2 - 15 = 0
1 solutions

Answer 67077 by checkley71(8403) About Me  on 2007-08-10 20:53:07 (Show Source):
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x^4+2x^2-15=0
(x^2+5)(x^2-3)=0
x^2+5=0
x^2=-5
x=sqrt-5
x=+/-2.236i answer.
x^2-3=0
x^2=3
x=sqrt3
x=+/-1.732 answer.


Finance/92231: if P/5 = q, then p/10 =?
1 solutions

Answer 67075 by checkley71(8403) About Me  on 2007-08-10 20:43:50 (Show Source):
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p/5=q then p/10=q/2


Miscellaneous_Word_Problems/92237: Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.
1 solutions

Answer 67074 by checkley71(8403) About Me  on 2007-08-10 20:41:05 (Show Source):
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6x+9(72-x)=480


Graphs/92240: Solve the system by substitution.
3x – y = –7
x + y = –9

1 solutions

Answer 67073 by checkley71(8403) About Me  on 2007-08-10 20:38:13 (Show Source):
You can put this solution on YOUR website!
x+y=-9 or y=-x-9 now substitute.
3x-(-x-9)=-7
3x+x+9=-7
4x=-7-9
4x=-16
x=-16/4
x=-4 answer.
-4+y=-9
y=-9+4
y=-5 answer.
proof
3*-4-(-5)=-7
-12+5=-7
-7=-7


percentage/91480: Business and finance. Al purchased a new refrigerator that cost $736.12 with
interest included. He paid $100 as a down payment and agreed to pay the remainder
in 18 monthly payments. What amount will he be paying per month?

1 solutions

Answer 66460 by checkley71(8403) About Me  on 2007-08-04 17:16:37 (Show Source):
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(736.12-100)/18=636.12/1835.34 will be the monthly payments.


Average/91482: José rode his trail bike for 10 miles. Two-thirds of the distance was over
a mountain trail. How long is the mountain trail?

1 solutions

Answer 66459 by checkley71(8403) About Me  on 2007-08-04 17:12:21 (Show Source):
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2/3*10=20/3=6.6667 miles is the mountain trail.


Equations/91500: Can someone please help me solve this problem. I am having trouble understanding how to solve it.
3x+4y=12 with this solutions: (0, ),(2/3, ),( ,0),and (-2/3, ).
Thank you.
1 solutions

Answer 66458 by checkley71(8403) About Me  on 2007-08-04 17:09:50 (Show Source):
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3X+4Y=12 NOW SUBSTITUTE 0 FOR X & SOLVE FOR Y:
3*0+4Y=12
4Y=12
Y=12/4
Y=3 ANSWER IS (0,3)
3*2/3+4Y=12
6/3+4Y=12
2+4Y=12
4Y=12-2
4Y=10
Y=10/4
Y=5/2 ANSWER (2/3,5/2)
3X+4*0=12
3X=12
X=12/3
X=4 ANSWER (4,0)
3*-2/3+4Y=12
-6/3+4Y=12
-2+4Y=12
4Y=12+2
4Y=14
Y=14/4
Y=7/2 ANSWER (-2/3,7/2)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F4+%2B3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x/4 +3).


Equations/91502: Can someone please help me solve this problem?
Equation is C=mx+b
10(x)+40
Thank you.
1 solutions

Answer 66456 by checkley71(8403) About Me  on 2007-08-04 17:00:37 (Show Source):
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C=10X+40
IF THIS A LINE EQUATION THEN:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+45%2C+y+=+10x+%2B40%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 45, y = 10x +40).
or if not a line equation then:
C=10(X+4)


Linear-equations/91510: y=-2/3(2)+4
1 solutions

Answer 66454 by checkley71(8403) About Me  on 2007-08-04 16:55:21 (Show Source):
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Y=-2/3(2)+4
Y=-4/3+4
Y=(-4+12)/3
Y=8/3 ANSWER.
PROOF
8/3=-2/3(2)+4
8/3=-4/3+12/3
8/3=8/3


test/91512: Evaluate 11!/8!
1 solutions

Answer 66453 by checkley71(8403) About Me  on 2007-08-04 16:51:36 (Show Source):
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(11*10*9*8*7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) NOW WE CAN CANCEL OUT ALL COMMON MULTIPLIERS THUS: (8*7*6*5*4*3*2*1) & WE HAVE LEFT IN THE NUMERATOR
11*10*9=990 ANSWER.


Coordinate-system/91416: What is the y-intercept of -2x+2y=16?
1 solutions

Answer 66412 by checkley71(8403) About Me  on 2007-08-04 10:47:22 (Show Source):
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-2x+2y=16 SORRY SORRY SORRY! I HAD THE = SIGN IN THE WRONG PLACE.
2Y=2X+16
Y=2X/2+16/2
Y=X+8
THE Y INTERCEPT IS (0,8)


Linear-equations/91425: graph the function can you please help me with this
f(x)=-2x-5
1 solutions

Answer 66411 by checkley71(8403) About Me  on 2007-08-04 10:44:20 (Show Source):
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Y=-2X-5
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-2x+-5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x -5).


Miscellaneous_Word_Problems/91421: a coffee merchant has coffee beans that sell for $9 a per pound and $12 per pound. The two types are to be mixed to create 100 pounds of mixture that will sell for $11.25 per pound. How much of each type of bean should be in used in the mixture?
1 solutions

Answer 66410 by checkley71(8403) About Me  on 2007-08-04 10:40:13 (Show Source):
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12X+9(100-X)=100*11.25
12X+900-9X=1125
3X=1125-900
3X=225
X=225/3
X=75 POUNDS OF $12 COFFEE.
100-75=25 POUNDS OF $9 COFFEE
PROOF
12*75+9*25=1125
900+225=1125
1125=1125


Linear-equations/91426: can someone please help me with this thank you in advance
if f(x)=4x-3 find the following
f(-1)
1 solutions

Answer 66409 by checkley71(8403) About Me  on 2007-08-04 10:34:07 (Show Source):
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F(-1)=4*-1-3
F(-1)=-4-3
F(-1)=-7 ANSWER.


Functions/91442: This question is from textbook Introductory & Intermediate ALGEBRA
Please help me solve this question.

Find the equation of each line. Write the equation using function notation.
Through (-4,8); perpendicular to 2x - 3y = 1
Thanks.

1 solutions

Answer 66408 by checkley71(8403) About Me  on 2007-08-04 10:31:30 (Show Source):
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2X-3Y=1
-3Y=-2X+1
Y=-2X/-3+1/-3
Y=2X/3-1/3 THIS LINE HAS A SLOPE OF 2/3 SO A LINE WHICH IS PERPENDICULAR HAS A SLOPE OF -3/2. NOW USING THIS SLOPE & THE POINT (-4,8) IN THE LINE EQUATION
[Y=mX+b] WE GET
8=-3/2*-4+b
8=12/2+b
8=6+b
b=8-6
b=2 THUS THE EQUATION OF THIS LINE IS:
Y=-3X/2+2


Linear-systems/91444: write the equations of the lines passing through (6,-10) and (6,-6). Thanks in advance. Thank you.
1 solutions

Answer 66407 by checkley71(8403) About Me  on 2007-08-04 10:24:37 (Show Source):
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SLOPE=(-6+10)/(6-6)=4/0 IS THE SLOPE OF A VERTICLE LINE THROUGH X=6 WHICH IS THE LINE EQUATION PASSING THROUGH THESE 2 POINTS.


Linear-systems/91445: write the equation of the line wuth x intercept (12,0) and y intercept (0,-2). Thank you.
1 solutions

Answer 66406 by checkley71(8403) About Me  on 2007-08-04 10:21:47 (Show Source):
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slope=(-2-0)/(0-12)=-2/-12=1/6.
WITH A Y INTERCEPT OF -2 WE HAVE THE LINE FORMULA
Y=X/6-2


Miscellaneous_Word_Problems/91460: For the graph of the function f(x) = x^2 - 6x + 10, find the vertex.
1 solutions

Answer 66405 by checkley71(8403) About Me  on 2007-08-04 10:16:58 (Show Source):
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Y=X^2-6X+10
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%5E2+-6x+%2B10%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -6x +10).


Linear-systems/91453: Lane invested $14000 part at 15% and part at 2%. If the total interest at the end of the year is $1060 how much did she invest at 15%. My dear friends, if anyone can help I would be so grateful.
1 solutions

Answer 66404 by checkley71(8403) About Me  on 2007-08-04 10:14:12 (Show Source):
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LET X BE THE AMOUNT INVESTED @ 15% & 14000-X BE THE AMOUNT INVESTED @ 2%.
.15X+.02(14000-X)=1060
.15X+280-.02X=1060
.13X=1060-280
.13X=780
X=780/.13
X=6000 ANSWE RFOR AMOUNT INVESTED @ 15%.
PROOF
.15*6000+.02*8000=1060
900+160=1060
1060=1060


Equations/91458: 3+m/2=5
1 solutions

Answer 66403 by checkley71(8403) About Me  on 2007-08-04 10:03:50 (Show Source):
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3+M/2=5
M/2=5-3
M/2=2 NOW CROSS MULTIPLY
M=2*2
M=4 ANSWER.
PROOF
3+4/2=5
3=2=5
5=5