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real-numbers/75468: Which of the following is/true?
A.The prime factors of 20 are 4 and 5.
B.The HCF of 12 and 20 is 2.
C.The LCM of 2,10 and 14 is 70.
1 solutions
Answer 54153 by checkley75(3666)   on 2007-03-22 16:04:34 (Show Source):
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Geometry_Word_Problems/75470: Here is the question. I even know the answer. However, I do not know how to solve it.
"A woman walks home by traveling 20 meters north, 25 meters east, and then 5 more meters north. If she could walk home along a straight line, how many fewer meters would she need to walk? Round your answer to the nearest hundredth."
The answer is 14.64 meters.
1 solutions
Answer 54152 by checkley75(3666) on 2007-03-22 16:00:31 (Show Source):
You can put this solution on YOUR website!THE BEST WAY TO SOLVE THIS PROBLEM IS WITH A GRAPH USING X & Y COORDINATES.
START AT THE INTERSECTION (0,0), GO UP (NORTH) 25 UNITS, THEN GO 20 UNITES TO THE RIGHT (EAST) THEN ANOTHER 5 UP (NORTH).
YOU ARE NOW AT (25,25). NOW DRAW A LINE FROM HERE TO THE ORIGIN (0,0) AND YOU HAVE THE HYPOTENUSE OF A 25 BY 25 RIGHT TRIANGLE.
USING THE FORMULA A^2+B^2=C^2 WE HAVE
25^2+25^2=C^2
625+625=C^2
1250=C^2
C=35.36 METERS IS THE LENGTH OF THE WALK HOME.
50-35.36=14.64 METERS IS THE DIFFERENCE BETWEEN THE TWO WALKS.
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Numbers_Word_Problems/75454: Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole number and thats the answer.
1 solutions
Answer 54150 by checkley75(3666) on 2007-03-22 15:50:30 (Show Source):
You can put this solution on YOUR website!X-Y=12, X=Y+12
XY=17
(Y+12)Y=17
Y^2+12Y-17=0
USING THE QUADRATIC EQUATION WE GET:
X=(-12+-SQRT[-12^2-4*1*-17])/2*1
X=(-12+-SQRT[144+68])/2
X=(-12+-SQRT212)/2
X=(-12+-14.56)/2
X=(-12+14.56)/2
X=2.56/2
X=1.28 ANSWER.
X=(-12-14.56)/2
X=-26.56/2
X=-13.28 ANSWER.
1.28*100+(-13.28*50)
128-662.5
-535 FINAL ANSWER.
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Problems-with-consecutive-odd-even-integers/75463: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
please show work
1 solutions
Answer 54149 by checkley75(3666) on 2007-03-22 15:39:19 (Show Source):
You can put this solution on YOUR website!(30+2x)(40+2x)=1800
1200+80x+60x+4x^2=1800
4x^2+140x+1200-1800=0
4x^2+140x-600=0
x^2+35x-150=0
using the quadratic equation we get:
X=(-35+-SQRT[35^2-4*1*-150])/2*1
X=(-35+-SQRT[1225+600])/2
X=(-35+-SQRT1825)/2
X=(-35+-42.72)/2
X=(-35+42.72)/2
X=-7.72/2
X=3.86 ANSWER.
X=(-35-42.72)/2
X=-77.72/2
X=-38.86 ANSWER.
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Square-cubic-other-roots/75410: Is it possible to find the square root of a number that is not a perfect square without a calculator? Such as 80? 195? etc...
1 solutions
Answer 54093 by checkley75(3666) on 2007-03-21 22:11:59 (Show Source):
You can put this solution on YOUR website!YES BUT IT IS MESSY:
&&&&&&&&&8.944 IS THE SQRT OF 80
&&&&&&&&&--------------
&&&&&&8)80.000000
&&&&&&&)64 DOUBLE THE 8 & ADD THE 9
------------------------
xxxx169)1600
XXXXXXXX1521
--------------------------
&&&&&1784)7900 DOUBLE THE 89 & ADD THE 4
&&&&&&&&&&7136
-----------------------
&&&&&17884)76400 DOUBLE THE 894 & ADD THE 4
&&&&&&&&&&&71536
----------------------
&&&&&&&&&&&&4864
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Word_Problems_With_Coins/75365: A coffee merchant has coffee beens that sell for $9 p/lb & $12 p/lb. the two types are mixed to to create 100 lb of a mixture to sell for $11.25 p/lb. How much of each type of bean should be used in the mixture?
1 solutions
Answer 54083 by checkley75(3666) on 2007-03-21 21:41:27 (Show Source):
You can put this solution on YOUR website!100*11.25=x*12+(100-x)9
1125=12x+900-9x
12x-9x=1125-900
3x=225
x=225/3
x=75 pounds of $12 coffee.
100-75=25 pounds of $9 coffee.
proof
100*11.25=75*12+25*9
1125=900+225
1125=1125
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Circles/75366: a rotating lawn sprinkler shoots water a distance of 10 meters. what is the area of the region where it waters
1 solutions
Answer 54080 by checkley75(3666) on 2007-03-21 21:35:07 (Show Source):
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Travel_Word_Problems/75402: A baseball dimond is a square whose side measue 90ft. For a home run a player must run around the square. If a player hits 35 home runs, what is the least number of feet he or she must run?
1 solutions
Answer 54078 by checkley75(3666) on 2007-03-21 21:32:26 (Show Source):
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Equations/75396: 17=x(x+12)
1 solutions
Answer 54070 by checkley75(3666) on 2007-03-21 21:17:54 (Show Source):
You can put this solution on YOUR website!17=X(X+12)
X^2+12X-17=0
USING THE QUADRATIC EQUATION WE GET:
X=(-12+-SQRT[12^2-4*1*-17])/2*1
X=(-12+-SQRT[144+68])/2
X=(-12+-SQRT212)/2
X=(-12+-14.56)/2
X=(-12+14.56)/2
X=2.56/2
X=1.28 SOLUTION.
X=(-12-14.56)/2
X=-26.56/2
X=-13.28 SOLUTION.
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Miscellaneous_Word_Problems/75393: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at a performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
1 solutions
Answer 54067 by checkley75(3666) on 2007-03-21 21:07:17 (Show Source):
You can put this solution on YOUR website!17A+2C=364 & A+C=32 THEN A=32-C NOW WE REPLACE (32-C) FOR A IN THE OTHER EQUATION & SOLVE FOR C
17(32-C)+2C=364
544-17C+2C=364
-15C=364-544
-15C=-180
C=-180/-15
C=12 CHILDREN'S TICKETS.
A=32-12
A=20 ADULT TICKETS.
PROOF
17*20+2*12=364
340+24=364
364=364
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Linear-equations/75372: find points on graph using the equation -x+2y=11
how do you find the point for the graph
1 solutions
Answer 54060 by checkley75(3666) on 2007-03-21 20:57:20 (Show Source):
You can put this solution on YOUR website!-x+2y=11
2y=x+11
y=x/2+11/2 the y intercept is (0,11/2) or (0,5.5)
setting y=0 we solcve for x thus:
0=x/2+11/2
x/2=-11/2 now cross multiply thus:
2x=-22
x=-22/2
x=-11 or (-11,0) is a second point.
 (graph 300x300 pixels, x from -12 to 12, y from -10 to 10, y = x/2 +11/2).
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Linear-systems/75138: This question is from textbook Introductory Algebra
Graph each linear equation
2x+y=2
How do you find the RIGHT numbers to subsitute x and y with, how do you know what numbers to use?
1 solutions
Answer 53997 by checkley75(3666) on 2007-03-20 22:42:42 (Show Source):
You can put this solution on YOUR website!2X+Y=2
Y=-2X+2 THIS EQUATION IS A LINE WITH A SLOPE OF -2 & A Y INTERCEPT OF 2.
WE NOW HAVE ONE SET OF POINTS (0,2) THE Y INTERCEPT.
SETTING Y=0 WE CAN FIND ANOTHER SET OF POINTS.
0=-2X+2
-2X=-2
X=-2/-2
X=1 OR ANOTHER POINT IS (1,0)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x +2).
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Linear-equations/75154: Please help...Thanks!!
If a line contains the points (1,3), (2,6) and (3,9) determine and write the slope-intercept form of the equation, provide one additional point on this line in (x,y) form, and graph the function.
1 solutions
Answer 53996 by checkley75(3666) on 2007-03-20 22:37:31 (Show Source):
You can put this solution on YOUR website!FIRST WE FIND THE SLOPE (Y2-Y1)/(X2-X1)
(6-3)/(2-1)
3/3=3 IS THE SLOPE.
NOW USING THE LINE FORMULA AND ONE SET OF POINTS WE CAN FIND THE Y INTERCEPT.
3=3*1+b
3=3+b
b=3-3
b=0 THUS THE EQUATION IS
Y=3X
SETTING Y=12 WE SOLVE FOR X
12=3*X
3X=12
X=12/3
X=4 OR (4,12) FOR THE ADDITIONAL POINT ON THIS LINE
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3x).
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Proportions/75162: This question is from textbook
Two computer programs used 230 megabytes of disks space. If all programs required an equal amount of space,how many megabytes of disk space would be required for 5 programs?
1 solutions
Answer 53993 by checkley75(3666) on 2007-03-20 22:26:28 (Show Source):
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Inequalities/75164: Two trucks start from the same point traveling in different directions, One truck travels at a speed of 54 mi/h , the other at 48 mi/h. How long must they travel to be at least 408 mi apart?
1 solutions
Answer 53992 by checkley75(3666) on 2007-03-20 22:24:12 (Show Source):
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