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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Equations/158827: 6b+14=-7-b1 solutions Answer 116977 by checkley77(12569)   on 2008-09-24 22:13:15 (Show Source): You can put this solution on YOUR website!6b+14=-7-b 6b+b=-7-14 7b=-21 b=-21/7 b=-3 answer. Proof: 6*-3+14=-7-(-3) -18+14=-7+3 -4=-4
 Equations/158829: solve for x: 2x + y = 101 solutions Answer 116976 by checkley77(12569)   on 2008-09-24 22:10:54 (Show Source): You can put this solution on YOUR website!2x + y = 10 2x=10-y x=(10-y)/2
 Trigonometry-basics/158705: I re-submitted this question. I had missing data, sorry! An A-frame lake house is 21 feet wide.If the roof of the home makes a 45 degree angle with the base of the home,what is the length of the house from ground level to the peak of the roof? Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a graphing approach (4th ed.). Boston: Houghton Mifflin. 1 solutions Answer 116973 by checkley77(12569)   on 2008-09-24 21:06:23 (Show Source): You can put this solution on YOUR website!(180-45)/2=135/2=67.5 is the angle to the peak. tan67.5=2.414 2.414(21/2)=25.34 is the height of the A-frame 10.5^2+25.34^2=c^2 110.25+642.12=c^2 752.366=c^2 c=sqrt752.366 c=27.43 ft. is the distance from the ground to the peak.
 Equations/158824: I am trying to figure out this equation. 3x/4+1=10 1 solutions Answer 116972 by checkley77(12569)   on 2008-09-24 20:49:03 (Show Source): You can put this solution on YOUR website!3x/4+1=10 3x/4=10-1 3x/4=9 3x=4*9 3x=36 x=36/3 x=12 answer. Proof: 3*12/4+1=10 36/4+1=10 9+1=10 10=10
 Quadratic_Equations/158823: solve by quadratic formula 1/2x^2 + 1/3x - 1/6 it didn't work when i subed it in, what do i have to do to the numbers1 solutions Answer 116971 by checkley77(12569)   on 2008-09-24 20:46:52 (Show Source): You can put this solution on YOUR website!1/2x^2 + 1/3x - 1/6 (.5x^2+.333x-.1667) (x+1)(.5x-.1667) x+1=0 x=-1 .5x-.1667=0 x=.1667/.5 x=.333
 Mixture_Word_Problems/158811: what is 2 numbers whose sum is 56 and the product is 7831 solutions Answer 116969 by checkley77(12569)   on 2008-09-24 20:38:13 (Show Source): You can put this solution on YOUR website!x+y=56 or x=56-y x*y=783 (56-y)y=783 56y-y^2-783=0 y^2-56y+783=0 (y-29)(y-27)=0 y-29=0 y=29 answer. y-27=0 y=27 answer. Proofs: 29=27=56 56=56 27*29=783 783=783
 Quadratic_Equations/158812: Z to the 2nd power - z = 12 Find the smaller solution of this equation.1 solutions Answer 116968 by checkley77(12569)   on 2008-09-24 20:33:52 (Show Source): You can put this solution on YOUR website!Z to the 2nd power - z = 12 z^2-z-12=0 (z-4)(z+3)=0 z-4=0 z=4 answer. z+3=0 z=-3 answer.
 Rational-functions/158815: I was looking for a 4th root chart but I can't find one and when I do type in the 4th root of 48 it gives me a decimal and I can't use a decimal...can you help me please??1 solutions Answer 116967 by checkley77(12569)   on 2008-09-24 20:32:13 (Show Source): You can put this solution on YOUR website!(4thrt48)=2(4thrt3)
 Proportions/158820: A giraffe can run 32 miles per hour. What is this speed in feet per second? Round to the neareast 10th. I said it was 1020 feet per second. Am I right?1 solutions Answer 116966 by checkley77(12569)   on 2008-09-24 20:29:30 (Show Source): You can put this solution on YOUR website!32*5,280/60*60=168,960/3,600=46.9 ft. per second.
 Proportions/158818: want to check my answer on.... 3t 1 __ = __ 10 2 I said it was t = 0.61 solutions Answer 116965 by checkley77(12569)   on 2008-09-24 20:24:06 (Show Source): You can put this solution on YOUR website!3t 1 __ = __ 10 2 3t*2=10*1 6t=10 t=10/6=5/3=1.6667 answer. Proof: 3*1.6667/10=1/2 5/10=1/2 1/2=1/2
 Numbers_Word_Problems/158814: The sum of the squares of three consecutive even integers is 116. Find the integers... This is what I have tried... x + (x + 2)+ (x + 4)= 116 3x + 6 = 116 -6 - 6 3x = 110 3x/3 110/3 x = 36.6666 This doesnt make sense. What am i doing wrong? 1 solutions Answer 116964 by checkley77(12569)   on 2008-09-24 20:21:12 (Show Source): You can put this solution on YOUR website!You are asked for the sum of the [squares] You need to pay more attention to what is given & asked for. x + (x + 2)+ (x + 4)= 116 [x^2+(x+2)^2+(x+4)^2=116] 3x + 6 = 116 [x^2+x^2+4x+4+x^2+8x+16=116] -6 - 6 [3x^2+12x+20-116=0] [3x^2 +12x-96=0] 3x = 110 [3(x^2+4x-32)=0] 3x/3 110/3 3(x+8)(x-4)=0] x = 36.6666 [x-4=0] [x=4] Proof: 4^2+6^2+8^2=116 16+36+64=116 116=116
 Geometric_formulas/158809: Hi, My question is about finding a measure in simplest form. I have to use the distance formula. The coordinates are (-5,3) and (3,4. The answer I got for that question was 65. Now I have to simplify the answer and I'm not sure what to do. Thank You1 solutions Answer 116963 by checkley77(12569)   on 2008-09-24 20:13:47 (Show Source): You can put this solution on YOUR website!The x distance=3+5=8 The y distance=4-3=1 using the pythagorean theorem a^2+b^2=c^2 we get the distance (c) 8^2+1^2=c^2 64+1=c^2 c^2=65 c=sqrt65 c=8.06226 is the distance from (-5,3) to (3,4)
 Money_Word_Problems/158808: This question is from textbook Henry paid \$.80 for each bag of peanuts. He sold all but 20 of them for \$1.50 and made a profit of \$54. how many bags did he buy? 1 solutions Answer 116962 by checkley77(12569)   on 2008-09-24 20:03:37 (Show Source): You can put this solution on YOUR website!.80x=(x-20)1.50-54 .80x=1.5x-30-54 .8x-1.5x=-84 -.7x=-84 x=-84/-.7 x=120 bags were bought. Proof: .80*120=(120-20)1.5-54 96=100*1.50-54 96=150-54 96=96
 Linear_Algebra/158777: This question is from textbook Algebra 2 Graph a line through(-4,1) that is perpendicular to a line whose slope is -3/2.1 solutions Answer 116961 by checkley77(12569)   on 2008-09-24 19:56:20 (Show Source): You can put this solution on YOUR website!A line through (-4,1) with a slope=2/3. Y=mX+b 1=2/3*-4+b 1=-8/3+b b=1+8/3 b=(3+8)/3) b=11/3 y=2x/3+11/3 is the line equation.
 Equations/158784: This question is from textbook Pre-Algebra what is the answer to 18= -a + 21 solutions Answer 116960 by checkley77(12569)   on 2008-09-24 19:53:16 (Show Source): You can put this solution on YOUR website!18= -a + 2 a=2-18 a=-16 answer. Proof: 18=-(-16)+2 18=16+2 18=18
 Rational-functions/158800: a boxer must keep his weight(w) between 125 and 140 pounds to stay in the middle division. whayt is the inequality for this 1 solutions Answer 116959 by checkley77(12569)   on 2008-09-24 19:51:38 (Show Source): You can put this solution on YOUR website!125>w<140
 Linear-equations/158802: hi,can anyone help me on this one: (-4,2) perpendicular to 2x+3y=-6 i know i have to change 2x+3y=-6 to slope:y=mx+b yeah.1 solutions Answer 116958 by checkley77(12569)   on 2008-09-24 19:46:31 (Show Source): You can put this solution on YOUR website!2x+3y=-6 First we need to put this equation in the line equation form Y=mX+b where m=slope & b=the y intercept. 3y=-2x-6 y=-2x/3-6/3 y=-2x/3-2 here we have a slope(m)=-2/3. Any line perpendicular to this line has a slope=3/2 (the negative reciprical of the original slope). Now replace the x&y terms with the values(-4,2) & the new slope & solve for b. 2=3/2*-4+b 2=-12/2+b 2=-6+b b=2=6 b=8 for the y intercept (0,8). y=3x/2+8 (green line) is this perpendicular line to y=-2x/3-2 (red line) & passes through (-4,2). (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -2x/3 -2 and 3x/2 +8).
 Linear-equations/158803: hi again,i was hoping someone can help on this one. (-4,2) perpendicular to 2x+3y=-6, all i know is that u change 2x+3y=-6 to y=mx+b and perpendicular is recipical to its self. after u find what it is u have to grap it out. my teacher really doesnt explain this one that well.1 solutions Answer 116957 by checkley77(12569)   on 2008-09-24 19:43:17 (Show Source): You can put this solution on YOUR website!2x+3y=-6 First we need to put this equation in the line equation form Y=mX+b where m=slope & b=the y intercept. 3y=-2x-6 y=-2x/3-6/3 y=-2x/3-2 here we have a slope(m)=-2/3. Any line perpendicular to this line has a slope=3/2 (the negative reciprical of the original slope). Now replace the x&y terms with the values(-4,2) & the new slope & solve for b. 2=3/2*-4+b 2=-12/2+b 2=-6+b b=2=6 b=8 for the y intercept (0,8). y=3x/2+8 (green line) is this perpendicular line to y=-2x/3-2 (red line) & passes through (-4,2). (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -2x/3 -2 and 3x/2 +8).
 Matrices-and-determiminant/158796: This question is from textbook Advanced Mathematical Concepts The perimeter of a triangle is 83 inches. The longest side is three times the length of the shortest side and 17 inches more than one-half the sum of the other two sides. Use a system of equations to find the length of each side. I don't really understand this and I asked some people to help, but they couldn't get it either. Please help me... Thanks!1 solutions Answer 116955 by checkley77(12569)   on 2008-09-24 19:32:16 (Show Source): You can put this solution on YOUR website!Longest side=3*shortest side. Longest side=17+(shortest side + other side)/2 3ss=17+(ss+os)/2 os/2=3ss-17-ss/2 0s/2=2.5ss-17 os=5ss-34 3ss+ss+5ss-34=83 9ss=83+34 9ss=117 ss=117/9 ss=13 inches for the short side. ls=3*13=39 inches for the long side. os=5*13-34=31 inches for the other side. Proof 13+39+31=83 83=83
 Rational-functions/158797: KATHY IS STACKING ENCYCLOPEDIA VOLUMES ON A LIBRARY BOOKSHELF. EACH VOLUME IS 2.5 INCHES WIDE. THE SELF IS 48 INCHES WIDE. 2.5x < 48 2.5x > 48 48x < 2.5 48x > 2.51 solutions Answer 116954 by checkley77(12569)   on 2008-09-24 19:19:34 (Show Source): You can put this solution on YOUR website!2.5x<48 is the proper equation. x<48/2.5 x<19.2 or 19 volumes will fit.
 Mixture_Word_Problems/158793: 1)How many liters of pure acid must be added to 40 L of a 20% acid solution to make a solution which is 36% acid? 2)A laboratory technician has a solution that is 25% acid. He wishes to increase the concentration to 40% by adding pure acid. If he has 800 mL of solution to begin with, how much acid must be added to make the desired concentration? 1 solutions Answer 116953 by checkley77(12569)   on 2008-09-24 19:17:21 (Show Source): You can put this solution on YOUR website!x+.2*40=.36(40+x) x+8=14.4+.36x x-.36x=14.4-8 .64x=6.4 x=6.4/.64 x=10 liters of pur acid is needed. Proof: 10+.2*40=.36(40+10) 10+8=.36*50 18=18 ----------------------------------------------- .25*800+x=.4(800+x) 200+x=320+.4x x-.4x=320-200 .6x=120 x=120/.6 x=200 ml of pure acid is needed. Proof: .25*800+200=.4(800+200) 200+200=.4(1,000) 400=400
 Expressions-with-variables/158794: 7g + 14 - 5g = -81 solutions Answer 116952 by checkley77(12569)   on 2008-09-24 19:08:40 (Show Source): You can put this solution on YOUR website!7g + 14 - 5g = -8 2g=-8-14 2g=-22 g=-22/2 g=-11 answer. Proof: 7*-11+14-5*-11=-8 -77+14+55=-8 -8=-8
 Equations/158785: Three times a number, added to4 is 7. Find the number 1 solutions Answer 116944 by checkley77(12569)   on 2008-09-24 18:46:15 (Show Source): You can put this solution on YOUR website!3x+4=7 3x=7-4 3x=3 x=3/3 x=1 answer.
 Equations/158787: Two angles are complementary if thier sum is90 degrees. If the measure of the firt angle isxdegrees and the measure of the second angle is (3x-2)degrees, find the measure of each angle 1 solutions Answer 116943 by checkley77(12569)   on 2008-09-24 18:45:01 (Show Source): You can put this solution on YOUR website!x+(3x-2)=90 x+3x-2=90 4x=90+2 4x=92 x=92/4 x=23 for the smaller angle. 3*23-2=69-2=67 for the other angle. Proof: 23+67=90 90=90
 Equations/158788: It took Sara's mother 5 hours round trip to drive to the University and bring Sara back home for spring break. If the university is 137 1/2 miles from home, find her mothers average speed.1 solutions Answer 116939 by checkley77(12569)   on 2008-09-24 18:40:09 (Show Source): You can put this solution on YOUR website!(2*137.5)/5=275/5=55 mph. was her average speed.
 Systems-of-equations/158769: (20b^3+17b^2+22b+48)(divided by)(4b+5)the answer I got was 5b^2-2b+8+8/4b+5 1 solutions Answer 116935 by checkley77(12569)   on 2008-09-24 17:10:25 (Show Source): You can put this solution on YOUR website!(20b^3+17b^2+22b+48)(divided by)(4b+5) ```````````5b^2-2b+8 r8/(4b+5) `````____________________ 4b+5)20b^3+17b^2+22b+48 `````20b^3+25b^2 `````-------------- ```````````-8b^2+22b ```````````-8b^2-10b ```````````------------- ````````````````32b+48 ````````````````32b+40 ````````````````------- `````````````````````8/(4b+5)
 Polynomials-and-rational-expressions/158716: can someone please help me with this problem: What is the result of x^4 + 4x^3 + 6x^2 + 4x + 1 divided by x + 1?1 solutions Answer 116934 by checkley77(12569)   on 2008-09-24 17:03:02 (Show Source): You can put this solution on YOUR website!x^4 + 4x^3 + 6x^2 + 4x + 1 divided by x + 1? `````````x^3+3x^2+3x+1 answer. ````_________________ x+1)x^4+4x^3+6x^2+4x+1 ````x^4+x^3 ````-------- ````````3x^3+6x^2 ````````3x^3+3x^2 ````````---------- `````````````3x^2+4x `````````````3x^2+3x `````````````--------- ```````````````````x+1 ```````````````````x+1 ```````````````````---
 Equations/158759: generate a table and a grapg for y=-4x1 solutions Answer 116933 by checkley77(12569)   on 2008-09-24 16:53:10 (Show Source): You can put this solution on YOUR website!y=-4x y-----x 1---(-1/4) 2---(-1/2) 4----(-1) 8----(-2) -1---(1/4) -4----1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -4x).
 Linear-equations/158766: This question is from textbook Algebra 2 Find the slope of the graph of each equation. x+y=51 solutions Answer 116932 by checkley77(12569)   on 2008-09-24 16:48:05 (Show Source): You can put this solution on YOUR website!x+y=5 y=-x+5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x +5).
 Money_Word_Problems/158733: Of the \$50,000 that Natasha pocketed on her last real estate deal, \$20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16% and the rest in Templeton Growth Fund with an annual yield of 25%. If she made \$6060 on these investments in 1 year, then how much did she invest in each fund?1 solutions Answer 116931 by checkley77(12569)   on 2008-09-24 16:45:00 (Show Source): You can put this solution on YOUR website!.25x+.16(30,000-x)=6,060 .25x+4,800-.16x=6,060 .09x=6,060-4,800 .09x=1,260 x=1,260/.09 x=14,000 is the amount invested @ 25%. 30,000-14,000=16,000 invested @ 16%. Proof: .25*14,000+.16*16,000=6,060 3,500+2,560=6,060 6,060=6,060
 Systems-of-equations/158750: 3x-7y=-3 2x+6y+-341 solutions Answer 116930 by checkley77(12569)   on 2008-09-24 16:39:17 (Show Source): You can put this solution on YOUR website!3x-7y=-3 multiply by 2 2x+6y=-34 multiply by -3 & add. ------------------ 6x-14y=-6 -6x-18y=102 ------------ -32y=96 y=96/-32 y=-3 answer. 3x-7*-3=-3 3x+21=-3 3x=-3-21 3x=-24 x=-24/3 x=-8 answer. 2*-8+6*-3=-34 -16-18=-34 -34=-34