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checkley71 answered: 8399 problems
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Probability-and-statistics/115154: A professor grades homeowrk by randomly checking 7 of the 20 problems assigned. in how many different ways can this be done? 1 solutions Answer 83774 by checkley71(8403)   on 2007-12-06 19:20:42 (Show Source): You can put this solution on YOUR website! 20*19*18*17*16*15*14=390,700,800 ways to select 7 out of 20 problems.

Probability-and-statistics/115142: what is the probability of rolling an 8 on a number cube? 1 solutions Answer 83772 by checkley71(8403)   on 2007-12-06 19:16:43 (Show Source): You can put this solution on YOUR website! assuming you are talking about a pair of die (numbered 1 to 6) where you add up the 2 faces. then there are 36 possible outcomes & the following combinations add up to 8. thus we have: 2&6=8 3&5=8 4+4=8 5&3=8 6+2=8 thus there are 5 ways to get an 8 5/36=.139 or 13.9% is the porobability of getting an 8 with the roll of 2 die.

Linear-systems/115081: I'm sturggling with this problem. Any help would be greatly appreciated. Solve the following non-linear system by substitution. x^2+y^2=16 x-2y=0 1 solutions Answer 83720 by checkley71(8403)   on 2007-12-06 15:14:06 (Show Source): You can put this solution on YOUR website! x-2y=0 or x=2y now substitute 2y for x in the other equation & solve for y. (2y)^2+y^2=16 4y^2+y^2=16 5y^2=16 y^2=16/5 y=4/sqrt5 answer. x-2(4/sqrt5)=0 x-8/sqrt5=0 x=8/sqrt5 answer.

Exponential-and-logarithmic-functions/114993: Use the foil to mutliply (5x -8)(x -7) 1 solutions Answer 83710 by checkley71(8403)   on 2007-12-06 14:51:41 (Show Source): You can put this solution on YOUR website! 5X-8 X-7 ----------------------- 5X^2-8X-35X+56 5X^2-43X+56 ANSWER.

Polynomials-and-rational-expressions/114995: Perform the indicated operation. (3m-n)(2m-5n) 1 solutions Answer 83708 by checkley71(8403)   on 2007-12-06 14:49:09 (Show Source): You can put this solution on YOUR website! 3M-N 2M-5N -------------------------------- 6M^2-2MN-15MN+5N^2 6M^2-17MN+5N^2 ANSWER.

Polynomials-and-rational-expressions/114997: Perform the indicated operation. (7a - 2b)(7a + 2b) 1 solutions Answer 83703 by checkley71(8403)   on 2007-12-06 14:31:31 (Show Source): You can put this solution on YOUR website! (7A+2B)(7A-2B)=(49A^2-4B^2) ANSWER.

Polynomials-and-rational-expressions/115001: Factor completely. 16m squared - 49n squared 1 solutions Answer 83702 by checkley71(8403)   on 2007-12-06 14:28:38 (Show Source): You can put this solution on YOUR website! 16M^2-49N^2 (4M+7N)(4M-7N) ANSWER.

Polynomials-and-rational-expressions/115005: Solve. 4x squared = 25 1 solutions Answer 83701 by checkley71(8403)   on 2007-12-06 14:26:28 (Show Source): You can put this solution on YOUR website! 4X^2=25 4X^2-25=0 (2X+5)(2X-5)=0 2X+5=0 2X=-5 X=-5/2 OR -2.5 ANSWER. 2X-5=0 2X=5 X=5/2 OR 2.5 ANSWER.

Angles/115029: Find the measure of an angle such that the supplement is five times the angle. 1 solutions Answer 83700 by checkley71(8403)   on 2007-12-06 14:22:55 (Show Source): You can put this solution on YOUR website! X+5X=180 6X=180 X=180/6 X=30 FOR THE SMALLER ANGLE. 180-30=150 FOR THE LARGER ANGLE. PROOF 30+5*30=180 180=180

Money_Word_Problems/115040: This question is from textbook The Best Test Preparation for the GED A restaurant buys cans of corn in bulk. If 3 cans of corn sell for $8.00, how much will one gross cost the restaurant? (1) $24 (2) $80 (3) $246 (4) $384 (5) $1,152 1 solutions Answer 83699 by checkley71(8403)   on 2007-12-06 14:19:40 (Show Source): You can put this solution on YOUR website! THE 144 COMES FROM THE FACT THAT A GROSS IS 12 DOZEN OR 144 BY COUNT. 3/8=144/X NOW CROSS MULTIPLY 3X=8*144 3X=1152 X=1152/3 X=$384 ANSWER 4).

Graphs/115052: Add. 13 + (–9) + 2 + (–10) 1 solutions Answer 83695 by checkley71(8403)   on 2007-12-06 14:14:12 (Show Source): You can put this solution on YOUR website! 13+(-9)+2+(-10) 13-9+2-10 -4 ANSWER.

Circles/115059: Fing the circumference and area of each cirlce. Round to the nearest tenth 1.) The radius is 4cm 2.) The radius is 6cm. Thanks so much 1 solutions Answer 83694 by checkley71(8403)   on 2007-12-06 14:11:02 (Show Source): You can put this solution on YOUR website! CIR=2PIR OR C=2*3.14*4=25.12CM AREA=PIR^2=3.14*4^2=50.24 CM^2 --------------------------------------------- CIR=2*3.14*6=37.68CM AREA=3.14*6^2=113.04 CM^2

Radicals/115070: radical 6000 1 solutions Answer 83692 by checkley71(8403)   on 2007-12-06 14:05:51 (Show Source): You can put this solution on YOUR website! RADICAL OR SQRT6000=77.46 ANSWER.

Evaluation_Word_Problems/115068: How many sheets of metal 1/32 inches thick can their be in a pile of 25.5 inches tall? 1 solutions Answer 83691 by checkley71(8403)   on 2007-12-06 14:04:40 (Show Source): You can put this solution on YOUR website! 25.5/(1/32)=25.5*32=816 SHEETS OF 1/32 IN. METAL IN A PILE 25.5 IN TALL. PROOF 816(1/32)=816/32=25.5 IN.

Evaluation_Word_Problems/115069: How many sheets of metal 1/32 inches thick can their be in a pile of 25.5 inches tall? 1 solutions Answer 83690 by checkley71(8403)   on 2007-12-06 14:03:13 (Show Source): You can put this solution on YOUR website! 25.5/(1/32)=25.5*32=816 SHEETS OF 1/32 IN. METAL IN A PILE 25.5 IN TALL. PROOF 816(1/32)=816/32=25.5 IN.

Sequences-and-series/115067: Find the sum of 11 over 2 + 3 5 over eight Thank You Alice 1 solutions Answer 83689 by checkley71(8403)   on 2007-12-06 14:00:26 (Show Source): You can put this solution on YOUR website! 11/2+3+5/8 (11*4+3*8+5)/8 (44+24+5)/8 73/8=9 1/8 ANSWER.

Graphs/115024: This question is from textbook Solve each system: 5x+6y+8=0 3x-2y+16=0 1 solutions Answer 83664 by checkley71(8403)   on 2007-12-06 10:53:34 (Show Source): You can put this solution on YOUR website! MULTIPLY THE SECOND EQUATION BY 3 & ADD. 9X-6Y+48=0 5X+6Y+8=0 --------------------------------- 14x+56=0 14x=-56 x=-56/14 x=-4 answer. 5*-4+6y+8=0 -20+6y+8=0 6y=20-8 6y=12 y=2 answer. proof 3*-4-2*2+16=0 -12-4+16=0 -16+16=0 0=0

Polynomials-and-rational-expressions/115019: This question is from textbook Itroductory Algebra for college students I have done this equation over and over and can't seem to come up with the right answer. Can you please help me? 1/x + 2/x + 3 = 1/4 1 solutions Answer 83659 by checkley71(8403)   on 2007-12-06 10:36:26 (Show Source): You can put this solution on YOUR website! 1/X+2/X+3=1/4 3/X=1/4-3 3/X=-2 3/4 3/X=-11/4 CROSS MULTIPLY -11X=12 X=12/-11 X=-12/11 ANSWER. PROOF 1/(-12/11)+2(-12/11)+3=1/4 1(-11/12)+2(-11/12=1/4-3 -11/12-22/12=-11/4 -33/12=-11/4 -11/4=-11/4

Graphs/115023: This question is from textbook Solve each system: 5x+6y+8=0 3x-2y16=0 1 solutions Answer 83658 by checkley71(8403)   on 2007-12-06 10:29:05 (Show Source): You can put this solution on YOUR website! SHOULD THERE BE A + OR A - SIGN BETWEEN THE Y & 16 IN THE SECOND EQUATION?

Polynomials-and-rational-expressions/115020: Can you help me with this problem? 3x^2 - 6x - 3 = 12 - 6x 1 solutions Answer 83657 by checkley71(8403)   on 2007-12-06 10:23:06 (Show Source): You can put this solution on YOUR website! 3X^2-6X-3=12-6X 3X^2-6X+6X-3-12=0 3X^2-15=0 3(X^2-5)=0 USING THE QUADRATIC EQUATION WE GET: X=(0+-SQRT[0^2-4*1*-5])/2*1 X=(+-SQRT20)/2 X=(+-4.47)/2 X=+-2.235 ANSWERS.

Polynomials-and-rational-expressions/115021: I'm not sure how to do this one. Can you please help me with it? The length of a rectangle is 2 meters longer than the width. If the area is 10 square meters, find the rectangle's dimensions. Round to the nearest tenth of a meter. 1 solutions Answer 83656 by checkley71(8403)   on 2007-12-06 10:17:05 (Show Source): You can put this solution on YOUR website! L=W+2 10=L*W 10=(W+2)W 10=W^2+2W W^2+2W-10=0 USING THE QUADRATIC EQUATION WE GET: W=(-2+-SQRT[2^2-4*1*-10])/2*1 W=(-2+-SQRT[4+40])/2 W=(-2+-SQRT44)/2 W=(-2+-6.633)/2 W=-2+6.633)/2 W=4.633/2 W=2.3165 ANSWER FOR THE WIDTH. L=2.3165+2=4.3165 ANSWER FOR THE LENGTH. PROOF 2.3165*4.3165=10 10~10

Linear-systems/114813: 7x + 3 = 2x - 12 1 solutions Answer 83597 by checkley71(8403)   on 2007-12-05 21:46:14 (Show Source): You can put this solution on YOUR website! 7X+3=2X-12 7X-2X=-12-3 5X=-15 X=-15/5 X=-3 ANSWER. PROOF 7*-3+3=2*-3-12 -21+3=-6-12 -18=-18

Linear-systems/114814: 4(x-8) = -x + 3 1 solutions Answer 83595 by checkley71(8403)   on 2007-12-05 21:43:50 (Show Source): You can put this solution on YOUR website! 4(X-8)=-X+3 4X-32=-X+3 4X+X=+3+32 5X=35 X=35/5 X=7 ANSWER. PROOF 4(7-8)=-7+3 4*-1=-4 -4=-4

Linear-systems/114815: -4(7-2x) = 3(2x-1) - 5 1 solutions Answer 83594 by checkley71(8403)   on 2007-12-05 21:40:16 (Show Source): You can put this solution on YOUR website! -4(7-2X)=3(2X-1)-5 -28+8X=6X-3-5 8X-6X=-8+28 2X=20 X=20/2 X=10 ANSWER. PROOF -4(7-2*10)=3(2*10-1)-5 -4(7-20)=3(20-1)-5 -4*-13=3*19-5 52=57-5 52=52

Linear-systems/114821: solve for y: 3x - 6y = 18 1 solutions Answer 83592 by checkley71(8403)   on 2007-12-05 21:36:20 (Show Source): You can put this solution on YOUR website! 3X-6Y=18 -6Y=-3X+18 Y=-3X/-6+18/-6 Y=X/2-3 ANSWER.

Linear-equations/114822: Find the slope of the line through the following pairs of points. (-5,-3)and(-5,2). What I have so far is this; m=2-(-3)/-5-(-5) = 5/10 =1/5 I think I am doing this all wrong, could you help please? Thank You, Barb Neely 1 solutions Answer 83591 by checkley71(8403)   on 2007-12-05 21:34:09 (Show Source): You can put this solution on YOUR website! slope=(y2-y1)/(x2-x1) (2+3)/(-5+5) 5/0 again this is a verticle line through the point -5.

Linear-systems/114826: 3x - 2 < 4 1 solutions Answer 83590 by checkley71(8403)   on 2007-12-05 21:29:40 (Show Source): You can put this solution on YOUR website! 3X-2<4 3X<4+2 3X<6 X<6/3 X<2 ANSWER. PROOF LET X=1.9 3*1.9-2<4 5.7-2<4 3.7<4

Linear-systems/114828: 2 - 3x < or equal to 8-x 1 solutions Answer 83589 by checkley71(8403)   on 2007-12-05 21:25:23 (Show Source): You can put this solution on YOUR website! 2-3X<=8-X -3X+X<=8-2 -2X<=6 DIVIDING BY A NEGATIVE INTEGER CHANGES THE < TO A > SIGN. X>=6/-2 X>=-3 ANSWER.PROOF LET X=-2.9 2-3*-2.9<=8-(-2.9) 2+8.7<=8+2.9 10.7<=10.9

Linear-systems/114836: find three consecutive integers whose sum is -126 1 solutions Answer 83585 by checkley71(8403)   on 2007-12-05 21:18:42 (Show Source): You can put this solution on YOUR website! LET X BE THE FIRST INTEGER. X+1 IS THE SECOND INTEGER. X+2 IS THE THIRD INTEGER. X+X+1+X+2=-126 3X+3=-126 3X=-126-3 3X=-129 X=-129/3 X=-43 ANSWER. -43+1=-42 ANSWER. -43-+2=-41 ANSWER. PROOF -43-42-41=-126 -126=-126

Graphs/114838: Please explain this graphing equality: y=3x+1 y=3x-2 1 solutions Answer 83583 by checkley71(8403)   on 2007-12-05 21:11:31 (Show Source): You can put this solution on YOUR website! y=3x+1 (red line) y=3x+2 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x +1 and y = 3x +2). the equality is in the slope. they both have a slope of 3.

Mixture_Word_Problems/114903: Paul wants to invest a total of $5000 in two accounts, one paying 4% annual simple interest and the other 3%. If he wants to earn $165 annua; interest, how much should he invest at each rate? 1 solutions Answer 83580 by checkley71(8403)   on 2007-12-05 21:06:44 (Show Source): You can put this solution on YOUR website! .04X+.03(5000-X)=165 .04X+150-.03X=165 .01X=165-150 .01X=15 X=15/.01 X=$1,500 SHOULD BE INVESTED @ 4%. 5000-1500=$3,500 INVESTED @ 3%. PROOF .04*1500+.03*3500=165 60+105=165 165=165