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Recent problems solved by 'checkley75'

checkley75 answered: 3664 problems
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Graphs/82858: Solve for t: s=18t
1 solutions

Answer 59446 by checkley75(3666) About Me  on 2007-05-21 16:08:43 (Show Source):


Graphs/82856: Write the equation of the line that passes through point (-5, -3) with a slope of 2.
1 solutions

Answer 59445 by checkley75(3666) About Me  on 2007-05-21 16:07:52 (Show Source):
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Y=mX+b IS THE LINE EQUATION WHERE X&Y ARE A SET OF POINTS & (m)=SLOPE & b=Y INTERCEPT.
-3=2*-5+b
-3=-10+b
b=-3+10
b=7 Y INTERCEPT. THUS THE LINE EQUATION IS:
Y=2X+7


Graphs/82855: Find the x and y intercepts for 2x+3y=16
1 solutions

Answer 59444 by checkley75(3666) About Me  on 2007-05-21 16:03:31 (Show Source):
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SET X=0 & SOLVE FOR Y THEN SET Y=0 & SOLVE FOR X THUS:
2*0+3Y=16
3Y=16
Y=16/3 ANSWER FOR THE Y INTERCEPT (0,16/3)
2X+3*0=16
2X=16
X=16/2
X=8 ANSWER FOR THE X INTERCEPT (8,0)


test/82766: One number is 8 less than another. If 5 times the smaller number minus 2 times the larger number is 14, find the two numbers. I'm confused, Please help...
1 solutions

Answer 59369 by checkley75(3666) About Me  on 2007-05-20 20:31:34 (Show Source):
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X=Y-8
5X-2Y=14 NOW SUBSTITUTE (Y-8) FOR X & SOLVE FOR Y
5(Y-8)-2Y=14
5Y-40-2Y=14
3Y=54
Y=54/3
Y=18 THE LARGER NUMBER.
X=18-8
X=10 FOR THE SMALLER NUMBER.
PROOF
5*10-2*18=14
50-36=14
14=14




Proportions/82782: How to write this ratio as a unit rate 150 mi in 3h
1 solutions

Answer 59368 by checkley75(3666) About Me  on 2007-05-20 20:11:58 (Show Source):
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150/3=50 MILES PER HOUR.


Money_Word_Problems/82777: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at the performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
1 solutions

Answer 59367 by checkley75(3666) About Me  on 2007-05-20 20:10:44 (Show Source):
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A+C=32 THEN C=32-A
17A+2C=364
17A+2(32-A)=364
17A+64-2A=364
15A=364-64
15A=300
A=300/15
A=20 NUMBER OF ADULT TICKETS SOLD.
20+C=32
C=32-20
C=12 NUMBER OF CHILDREN TICKETS SOLD.
PROOF
17*20+2*12=364
340+24=364
364=364


Numeric_Fractions/82769: Change the fraction to a decimal 24/25...How do I do this?
1 solutions

Answer 59366 by checkley75(3666) About Me  on 2007-05-20 20:02:24 (Show Source):
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To convert 24/25 to a decimal you need to divide 24 by 25 the old fashion way:
that is long division:
Or you can set up an equality to convert this to a fraction with 100 as the denominator:
24/25=x/100
we have multiplied the denominator by 4 therefore we need to multiply the numerator by 4. we then have 4*24=96: thus we have 96/100 which is the same as .96 the decimal equivalent of 24/25.


Numeric_Fractions/82778: ADD: 7/9+5/6
1 solutions

Answer 59365 by checkley75(3666) About Me  on 2007-05-20 19:52:32 (Show Source):
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7/9+5/6 find a common denominator so we can add these fractions:
18 is the lowest common denominator so we have
14/18+15/18=29/18=1 11/18


Graphs/82780: Write the equation of the line with slope 4 and y intercept (0,-5). Then graph the line. Can someone please help me with this...Thanks
1 solutions

Answer 59364 by checkley75(3666) About Me  on 2007-05-20 19:49:19 (Show Source):
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THE LINE FORMULA IS Y=mX+b WHERE (m)=SLOPE & b=Y INTERCEPT.
SUBSTITUTING THE X & Y VALUES & THE SLOPE WE SOLVE FOR THE Y INTERCEPT (b)
-5=4*0+b
-5=b THIS IS THE Y INTERCEPT:
Y=4X-5 IS THIS LINE EQUATION:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C++y+=+4x+-5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10,
y = 4x -5).


test/82779: Multiply: (-6)(9)
1 solutions

Answer 59363 by checkley75(3666) About Me  on 2007-05-20 19:44:37 (Show Source):
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-6*9=-54 rules of multiplication & division are:(+*+)=+, (-*-)=+, (+*-)=-,
(+*-)=-


Linear-equations/82759: Find the slope -6x-9y=12...Please help
1 solutions

Answer 59362 by checkley75(3666) About Me  on 2007-05-20 19:41:47 (Show Source):
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-6x-9y=12
-9y=6x+12
y=6x/-9+12/-9
y=-2x/3-4/3
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-2x%2F3+-4%2F3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x/3 -4/3).


Polynomials-and-rational-expressions/82697: find the values of each of these polynomials for the given values
-x2-5x-6
x=-3
x=-2
1 solutions

Answer 59346 by checkley75(3666) About Me  on 2007-05-20 15:53:02 (Show Source):
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-x^2-5x-6
-(-3)^2-5(-3)-6
-9+15-6=0 answer.
---------------------
-(-2)^2-5(-2)-6
-4+10-6=0 answer.


Signed-numbers/82732: 3/4(-2/5)-(-3/5)
1 solutions

Answer 59345 by checkley75(3666) About Me  on 2007-05-20 15:49:05 (Show Source):
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3/4*(-2/5)+3/5
-6/20+3/5
-6/20+12/20
6/20=3/10


Surface-area/82453: Find the surface area of a cylinder. ROUND TO THE NEAREST TENTH.
1.) r= 6.5 m , h= 15 m

2.) d= 8.7 in , h= 7.3 in
1 solutions

Answer 59344 by checkley75(3666) About Me  on 2007-05-20 15:44:48 (Show Source):
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1)TSA=(2pi*r*h)+(2pir^2)
TSA=(2*3.14*6.5*15)+(2*3.14*6.5^2)
TSA=2112.3+265.33
TSA=2377.63 m^2
--------------------------------
2)TSA=(pi*d*h)+(2pir^2)
TSA=(3.14*8.7*7.3)+(2*3.14*7.3^2)
TSA=199.42+334.66
TSA=534.08 in^2


Linear-equations/82686: Please Graph the following two linear equations y= -4x+1 and y= -4x-10
1 solutions

Answer 59340 by checkley75(3666) About Me  on 2007-05-20 15:29:48 (Show Source):
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y=-4x+1 (red line)
y=-4x-10 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-4x+%2B1%2C+y+=+-4x+-10%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -4x +1 and y = -4x -10).


Complex_Numbers/82729: Please sove 4x^2-6x+2=0
1 solutions

Answer 59337 by checkley75(3666) About Me  on 2007-05-20 15:25:36 (Show Source):
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4X^2-6X+2
(2X-2)(X-2)
2(X-1)(X-2)


Polynomials-and-rational-expressions/82700: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w+13.3. find the cost when 375 wing nuts are made. what is the average cost to manufacture one wing nut?
1 solutions

Answer 59335 by checkley75(3666) About Me  on 2007-05-20 15:23:01 (Show Source):
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0.07W+13.3=0.07*375+13.3=26.25+13.3=39.55 COST OF 375 WING NUTS.
THUS THE COST PER WING NUT IS:
39.55/375=.105 FOR EACH WING NUT.


Polynomials-and-rational-expressions/82704: write in scientific notation
(6x10^12)(3.2x10^8)
___________________
(1.6x10^7)(3x10^2)
1 solutions

Answer 59333 by checkley75(3666) About Me  on 2007-05-20 15:19:30 (Show Source):
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(6*10^12)(3.2*10^8)/(1.5*10^7)(3*10^2)
(19.2*10^20)/(4.5*10^9) [DIVIDE 19.2 BY 4.5 & SUBTRACT 9 FROM 20 FOR THE EXPONENT FOR THE POWER OF 10:
19.2/4.5=4.26666 & 20-9=11 SO WE NOW HAVE
4.26666*10^11


Polynomials-and-rational-expressions/82717: find each of the following squares
(w-1/4)^2
1 solutions

Answer 59327 by checkley75(3666) About Me  on 2007-05-20 15:13:02 (Show Source):
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(W-1/4)^2=W^2-1/2W+1/16


Polynomials-and-rational-expressions/82719: find each of the following products
a(a+5)(a-5)
1 solutions

Answer 59325 by checkley75(3666) About Me  on 2007-05-20 15:11:12 (Show Source):
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A+5
A MULTIPLY
-------------------
A^2+5A
A-5 MULTIPLY
-------------------------
A^3+5A^2-5A^2-25A NOW COMBINE LIKE TERMS
A^3-25A


Polynomials-and-rational-expressions/82727: how do I factor this x^2+25x+24
1 solutions

Answer 59322 by checkley75(3666) About Me  on 2007-05-20 15:06:42 (Show Source):
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X^2+25X+24 YOU NEED TO FIND 2 FACTORS OF 24 THAT ADD UP TO 25 (BOTH b & c TERMS ARE POSITIVE):
FACTORS FOR 24 ARE 1&24,2&12,3&8,4&6. THE ONLY SET THAT ADDS UP TO 25 ARE 1&24.
THEREFORE THE SOLUTION IS:
(X+24)(X+1)


Polynomials-and-rational-expressions/82721: a square has sides of length 3x-2cm. express the area of the square as a polonomial.
top is 3x-2cm and right side is 3x-2cm if that helps.
1 solutions

Answer 59321 by checkley75(3666) About Me  on 2007-05-20 15:02:19 (Show Source):
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area of a square=s*s where s=(3x-2). thus we have
A=(3X-2)(3X-2)
A=9X^2-6X+4


Exponential-and-logarithmic-functions/82726: simplify (4)to the power of-5/2
1 solutions

Answer 59320 by checkley75(3666) About Me  on 2007-05-20 14:59:09 (Show Source):
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4^(-5/2)
1/4^(5/2)
1/sqrt(4^5)
1/sqrt1024
1/32


Radicals/82725: This problem is not from a textbook.
I apologize for writing this all out in words. I don't know how to get the radical sign to appear here. ( I will try to also put this in symbol form by using a capital 'V' to stand for the radical)
3 times the square root of 5/12 plus the square root of 12/5 - 1/3 times the square root of 60.
3 V5/12 + V12/5 - 1/3 V60
1 solutions

Answer 59319 by checkley75(3666) About Me  on 2007-05-20 14:55:11 (Show Source):
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3sqrt5/12+sqrt12/5-1/3sqrt60
3sqrt5/12+sqrt12/5-1/3*2sqrt15
3sqrt5/12+sqrt12/5-2/3sqrt15 this is all the reductions.
----------------------------------------------------------------------
if you need to solve the radicals then:
3*.6455+1.549-2.582
1.9365+1.549-2.2582=1.2273 answer.


Polynomials-and-rational-expressions/82723: perform the indicated divisions
x^2-2x-35
divided by
x+5
1 solutions

Answer 59318 by checkley75(3666) About Me  on 2007-05-20 14:48:58 (Show Source):
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(x^2-2x-35)/(x+5)
(x-7)(x+5)/(x+5) cancelling out the (x+5) terms we have:
x-7


Quadratic_Equations/82385: Given f(x) = –4x + 5, find f(–4).
1 solutions

Answer 59253 by checkley75(3666) About Me  on 2007-05-19 16:50:56 (Show Source):
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F(X)=-4X+5
F(-4)=-4*-4+5
F(-4)=16+5
F(-4)=21 ANSWER.


Quadratic_Equations/82403: The length of a rectangle is 4 in. more than twice its width. If the perimeter of the rectangle is 56 in., find the width of the rectangle.
Answer: The width is ______

1 solutions

Answer 59251 by checkley75(3666) About Me  on 2007-05-19 16:49:06 (Show Source):
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L=2W+4
P=2L+2W THUS
56=2(2W+4)+2W
56=4W+8+2W
56=6W+8
6W=56-8
6W=48
W=48/6
W=8 IS THE WIDTH
PROOF
56=2(2*8+4)+2*8
56=2(16+4)+16
56=2*20=16
56=40+16
56=56


Quadratic_Equations/82404: Solve the system by substitution.
2x + 2y = 14
y = –3x + 9
Hint: You must find both the x and the y values for full credit.

1 solutions

Answer 59250 by checkley75(3666) About Me  on 2007-05-19 16:45:31 (Show Source):
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y=-3x+9 now substitute (-3x+9) for y in the other equation & solve for x.
2x+2(-3x+9)=14
2x-6x+18=14
-4x=14-18
-4x=-4
x=-4/-4
x=1 answer.
y=-3*1+9
y=-3+9
y=6 answer.
proof
6=-3*1+9
6=-3+9
6=6


Quadratic_Equations/82405: Solve the system by addition or substitution.
–6x + 3y = 12
y = 2x + 3

1 solutions

Answer 59249 by checkley75(3666) About Me  on 2007-05-19 16:41:45 (Show Source):
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y=2x+3 now substitute (2x+3) for y in the other equation & solve for x.
-6x+3(2x+3)=12
-6x+6x+9=12
0x=12-9
0=3 now common solution here.
proof we plot the 2 lines
y=2x+3 (red line) &
3y=6x+12, y=6x/3+12/3, y=2x+4 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+%2B3%2C+y+=+2x+%2B4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x +3 and y = 2x +4).


Divisibility_and_Prime_Numbers/82425: divide 7.2 by 0.06.

1 solutions

Answer 59248 by checkley75(3666) About Me  on 2007-05-19 16:34:15 (Show Source):
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7.2/.06=120
to make it a little bit easier to solve multiply both numerator & denominator by 100 (100/100=1 & doesn't change the relationship)
720/6=120


Exponents/82444: Multiply
10u^6 * 4u^5
1 solutions

Answer 59247 by checkley75(3666) About Me  on 2007-05-19 16:30:50 (Show Source):
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10u^6*4u^5=40u^11 (multiply the numbers & add the exponents).