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# Recent problems solved by 'checkley71'

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=01 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 squared1 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 = 251 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) \$1,1521 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 much1 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 60001 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 Alice1 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=01 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 = 1/41 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=01 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 - 6x1 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 - 121 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 + 31 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) - 51 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 = 181 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 Neely1 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 < 41 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-x1 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 -1261 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-21 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