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Miscellaneous_Word_Problems/247484: The sum of two numbers is twentyone. three times the smaller is two less than twice the larger number. find the two numbers 1 solutions
Answer 180530 by checkley77(12569) on 2009-12-08 19:55:57 (Show Source):
You can put this solution on YOUR website!x+y=21 or x=21-y
3x=2y-2 substitute (21-y) for x in this equation & solve for y.
3(21-y)=2y-2
63-3y=2y-2
-3y-2y=-2-63
-5y=-65
y=-65/-5
y=13 ans.
x+13=21
x=21-13
x=8 ans.
Proof:
3*8=2*13-2
24=26-2
24=24
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Linear_Equations_And_Systems_Word_Problems/247474: Maggie timed how long it took her to finish a jigsaw puzzle. The first time she finished in 12 minutes. She was able to finish the puzzle twice as fast the second time and three times as fast the third time. How long did it take her to finish the puzzle the second and third times? 1 solutions
Answer 180528 by checkley77(12569) on 2009-12-08 19:44:02 (Show Source):
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Miscellaneous_Word_Problems/247470: An electronics store uses a mark up rate of 58%. find the selling price of the camcorder that costs the storre owner $358 1 solutions
Answer 180526 by checkley77(12569) on 2009-12-08 19:34:57 (Show Source):
You can put this solution on YOUR website!TO GET A MARK-UP OF 58% YOU NEED TO MILTIPLY THE BASE PRICE BY 1 PLUS .58.
OR YOU CAN MULTIPLY THE BASE PRICE BY .58 & THEN ADD THE BASE PRICE.
THE RESULT SHOULD BE THE SAME.
358*(1+.58)
*****358
****1.58
----------------
****2864
***1790
***358
-----------------
**565.64
$565.64 IS THE SELLING PRICE.
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Equations/247449: i need to find the value of "y" in the equation 6y+2=2y*y-6. i forgot how to remove the y*y (y squared)and solve. 1 solutions
Answer 180523 by checkley77(12569) on 2009-12-08 19:29:57 (Show Source):
You can put this solution on YOUR website!6y+2=2y*y-6.
6Y+2=2Y^2-6
Y^2-6Y-6-2=0
Y^2-6Y-8=0
Y=(6+-SQRT[-6^2-4*1*-8])/2*1
Y=(6+-SQRT[36+32])/2
Y=(6+-SQRT68)/2
Y=(6+-8.246)/2
Y=(6+8.246)/2
Y=14.246/2
Y=7.123 ANS.
Y=(6-8.246)/2
Y=-2.246/2
Y=-1.123 ANS.
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percentage/247391: How do you turn percentages into parts on a circle or pie graph. 1 solutions
Answer 180501 by checkley77(12569) on 2009-12-08 18:34:05 (Show Source):
You can put this solution on YOUR website!100%=360 degrees.
50% of 360=180 degrees or 1/2 of the pie.
25% of 360=90 degrees or 1/4 of the pie.
40% of 360=144 degrees or 2/5 of the pie.
75% of 360=270 degrees or 3/4 of the pie.
10% of 360=36 degrees or 1/10 of a pie.
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Linear-equations/247386: Using the discriminant, determine the number of x-intercepts the graph of the equation will have. Do not graph the equation.
y = x^2 - 4x + 3 1 solutions
Answer 180488 by checkley77(12569) on 2009-12-08 18:14:44 (Show Source):
You can put this solution on YOUR website!y = x^2 - 4x + 3
[b^2-4ac] is the determinate of a quadratic equation.
-4^2-4*1*3
16-12=4
4>0 therefore there are 2 real number solutions & they are rational numbers because 4 is a perfect square.
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test/247375: Find the slope,if it exists, of the line containing the pair of points, (-10,-6) and (-16,-18) 1 solutions
Answer 180474 by checkley77(12569) on 2009-12-08 17:54:57 (Show Source):
You can put this solution on YOUR website!(-10,-6) and (-16,-18)
Slope=(-18+6)/(-16+10)=-12/-6=2 ans.
-6=2*-10+b
-6=-20+b
b=-6+20
b=14 ans. for the y intercept.
y=2x+14
 (graph 300x200 pixels, x from -20 to 5, y from -20 to 15, 2x +14).
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Linear-equations/247335: Find an equation of the line that has a y-intercept of 2 that is parallel to the graph of the line 4x + 2y = 8 1 solutions
Answer 180472 by checkley77(12569) on 2009-12-08 17:47:33 (Show Source):
You can put this solution on YOUR website!4x + 2y = 8
2y=-4x+8
y=-4x/2+8/2
y=-2x+4 (red line)
A parallel line will also have a slope=-2 & with a y intercept =2 the equation is:
y=-2x+2 (green line)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10,of TWO functions -2x +4 and -2x +2).
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Graphs/247350: What are the x and y intericepts for 2y-x=4 1 solutions
Answer 180464 by checkley77(12569) on 2009-12-08 17:24:06 (Show Source):
You can put this solution on YOUR website!2y-x=4
2Y=X+4
Y=X/2+4/2
Y=X/2+2
LET X=0 & SOLVE FOR Y.
Y=0/2+2
Y=2 ANS. (0,2)
LET Y=0 & SOLVE FOR X.
0=X/2+2
X/2=-2
X=-2*2
x=-4 (-4,0)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/2 +2).
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Mixture_Word_Problems/247351: the length of a rectangle is 4 less than 3 times the width. The area is 160 square inches. Find the permeter (so first, find the width and length) 1 solutions
Answer 180462 by checkley77(12569) on 2009-12-08 17:19:29 (Show Source):
You can put this solution on YOUR website!L=3W-4
LW=160
(3W-4)W=160
3W^2-4W-160=0
(3W+20)(W-8)=0
W-8=0
W=8 ANS. FOR THE WIDTH.
L=3*8-4
L=24-4
L=20 ANS. FOR THE LENGTH.
PROOF:
8*20=160
160=160
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