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# Recent problems solved by 'checkley77'

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 Angles/215821: The measure is 47 less than twice that of its complement. 1 solutions Answer 163035 by checkley77(12569)   on 2009-09-22 20:02:46 (Show Source): You can put this solution on YOUR website!2(90-x)-47+x=90 180-2x-47+x=90 -x=90+47-180 -x=-43 x=43 ans. Proof: 2(90-43)-47+43=90 2*47-47+43=90 94-47+43=90 90=90
 Graphs/215819: how do u graph 2x+y-11=01 solutions Answer 163034 by checkley77(12569)   on 2009-09-22 19:57:33 (Show Source): You can put this solution on YOUR website!2x+y-11=0 y=-2x+11 (graph 300x200 pixels, x from -6 to 10, y from -10 to 15, -2x +11).
 Geometry_Word_Problems/215811: one airplane holds 50 passengers more than another airplane. together they hold 450 passengers. how many passengers does each hold. 1 solutions Answer 163033 by checkley77(12569)   on 2009-09-22 19:55:20 (Show Source): You can put this solution on YOUR website!x+(x+50)=450 2x+50=450 2x=450-50 2x=400 x=400/2 x=200 passengers for the smaller plane. 200+50=250 passengers for the larger plane. Proof: 200+250=450 450=450
 Rectangles/215814: The perimeter of a rectangular yard is 66m and its area is 270 square meters. Find the dimensions of the yard.1 solutions Answer 163031 by checkley77(12569)   on 2009-09-22 19:51:09 (Show Source): You can put this solution on YOUR website!xy=270 x=270/y 2x+2y=66 2(270/y)+2y=66 540/y+2y=66 (540+2y^2)/y=66 540+2y^2=66y 2y^2-66y+540=0 2(y^2-33y+270)=0 2(y-15)(y-18)=0 y-15=0 y=15 x=18 ans. y-18=0 y=18 x=15 ans. Proofs: 15*18=270 270=270 2*15+2*18=66 30+36=66 66=66
 Geometry_Word_Problems/215804: This is copied directly from the book. An isosceles triangle has two sides of equal length. The length of one of the equal sides is two more than 3 times the length of the third side. If the perimeter is 46m, find the length of each side.1 solutions Answer 163030 by checkley77(12569)   on 2009-09-22 19:46:08 (Show Source): You can put this solution on YOUR website!(3x+2)+(3x+2)+x=46 7x+4=46 7x=42 7x=42/7 x=6 ans. for the third side 3*6+2=18+2=20 for the 2 equal sides. Proof: 20+20+6=46 46=46
 Numbers_Word_Problems/215805: Two consecutive odd numbers total 32. Find the smaller.1 solutions Answer 163028 by checkley77(12569)   on 2009-09-22 19:39:58 (Show Source): You can put this solution on YOUR website!Let x & x=2 be the 2 odd numbers. x+x+2=32 2x=32-2 2x=30 x=30/2 x=15 ans. for the smaller number. Proof: 15+15+2=32 32=32
 Equations/215806: "Alex scored 13 points in the basketball game. This was 1/5 of the total points the team scored. Write and solve an equation to determine the total points (t) the points scored." 1 solutions Answer 163027 by checkley77(12569)   on 2009-09-22 19:37:46 (Show Source): You can put this solution on YOUR website!13=1/5*x 13=x/5 x=5*13 x=65 ans. for the total points.
 Angles/215760: find two consecutive even integers such that the lesser added to three times the greater is 461 solutions Answer 163025 by checkley77(12569)   on 2009-09-22 19:35:25 (Show Source): You can put this solution on YOUR website!Let x & x+2 be the 2 even integers. x+3(x+2)=46 x+3x+6=46 4x=46-6 4x=40 x=40/4 x=10 ans. for the smaller integer. 10+2=12 the larger integer. Proof: 10+3*12=46 10+36=46 46=46
 Permutations/215776: how many distinguishable ways can the letters of the word VERTICAL be arranged using only 4 of the letters at a time?1 solutions Answer 163022 by checkley77(12569)   on 2009-09-22 19:29:30 (Show Source): You can put this solution on YOUR website!8*7*6*5=1,680 ans.
 Numbers_Word_Problems/215788: three consecutive integers are such that three times the largest exceeds the sum of the two smaller integers by 47. find the integers1 solutions Answer 163021 by checkley77(12569)   on 2009-09-22 19:27:32 (Show Source): You can put this solution on YOUR website!Let x, x+1 & x+2 be the three integers. 3(x+2)>x+x+1+47 3x+6>2x+48 3x-2x>48-6 x>42 ans. Proof: Let x=43 3(43+2)>42+42+1+47 3*45>132 135>132
 Linear_Algebra/215796: This question is from textbook how do you write a equation in slope intercept form for the problem slope 4,passes through the orgin1 solutions Answer 163019 by checkley77(12569)   on 2009-09-22 19:22:55 (Show Source): You can put this solution on YOUR website!y=4x (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 4x).
 Linear_Algebra/215795: One poll reported that the approval rating of the job performance of the President of the United States was 63%. The poll was said to be accurate to within 3.8%. What is the range of actual approval ratings?1 solutions Answer 163018 by checkley77(12569)   on 2009-09-22 19:21:02 (Show Source): You can put this solution on YOUR website!63+-3.8=59.2% to 66.8%
 Polynomials-and-rational-expressions/215794: (3s)(-4m)(5cd)= We need to know how to solve a problem like this one. Thanks 1 solutions Answer 163017 by checkley77(12569)   on 2009-09-22 19:19:14 (Show Source): You can put this solution on YOUR website!(3s)(-4m)(5cd)=-60cdsm ans.
 expressions/215793: the expression 15-3[2+6(-3)]1 solutions Answer 163014 by checkley77(12569)   on 2009-09-22 19:17:47 (Show Source): You can put this solution on YOUR website!15-3[2+6(-3)] 15-3[2-18] 15-3[-16] 15+48=63 ans.
 Rectangles/215792: The perimeter of a rectangle is 84 meters if the width is 16 less than the width then what is the width 1 solutions Answer 163013 by checkley77(12569)   on 2009-09-22 19:15:41 (Show Source): You can put this solution on YOUR website!You have mentioned the width twice but not the length. Add the length and resubmit.
 Functions/215781: what values of A make the relation (A,1), (2,3), (4,5) a function? 1 solutions Answer 163010 by checkley77(12569)   on 2009-09-22 19:13:41 (Show Source): You can put this solution on YOUR website!slope=(5-3)/(4-2)=2/2=1 (3-1)/(2-x)=1 2=1(2-x) 2=2-x -x=2-2 x=0 ans. all three points lie on the same straight line. (0,1), (2,3), (4,5) Y=X+1 is the equation of this line.
 Problems-with-consecutive-odd-even-integers/215785: This question is from textbook intermediate algebra with applications find three consecutive even integers so that the sum of the smallest interger and twice the second integer is 20 more than the third1 solutions Answer 163008 by checkley77(12569)   on 2009-09-22 19:05:27 (Show Source): You can put this solution on YOUR website!Let x, x+2 & x+4 be the 3 integers. x+2(x+2)=(x+4)+20 x+2x+4=x+4+20 3x+4=x+24 3x-x=24-4 2x=20 x=20/1 x=10 ans. for the smallest integer. 10+2=12 for the middle integer. 10+4=14 ans. for the largest integer. Proof: 10+2*12=14+20 10+24=34 34=34
 Money_Word_Problems/215780: This question is from textbook mATHMATICS FOR BUSINESS CONPUTERWORLD HAS EXPENSES THAT RUN 15/16 OF REVENUE. ONE MONTH'S PROFIT( THE DIFFERENCE BETWEEN REVENUE AND EXPENSES) WAS \$9000. fIND THE REVENUE1 solutions Answer 163003 by checkley77(12569)   on 2009-09-22 19:01:20 (Show Source): You can put this solution on YOUR website!If 15/16 is the exp/rev then 1/16 is the profit. 1/16x=900 x/16=900 x=16*900 x=14,400 is the total revenue.
 Numbers_Word_Problems/215763: This question is from textbook find 5 consecutive odd integers such that the sum of the first and fifth is one less than three times the fourth1 solutions Answer 162999 by checkley77(12569)   on 2009-09-22 18:51:37 (Show Source): You can put this solution on YOUR website!Let x, x+2, x+4, x+6, x+8 be the five consecutive odd integers. x+(x+8)=3(x+4)-1 2x+8=3x+12-1 2x-3x=11-8 -x=3 x=3/-1 x=-3 ans. for the lowest integer. -3+2=-1 for the next integer. -3+4=1 for the middle integer. -3+6=3 for the fourth imteger. -3+8=5 for the largest integer. Proof: -3+5=3*1-1 2=3-1 2=2
 Divisibility_and_Prime_Numbers/215764: 65=((71*80.4)+(10*31.6)+(x*21))/(71+10+x) solve for x1 solutions Answer 162997 by checkley77(12569)   on 2009-09-22 18:44:54 (Show Source): You can put this solution on YOUR website!65=((71*80.4)+(10*31.6)+(x*21))/(71+10+x) 65=(5,708.4+316+21x)/(81+x) 65=(6,024.4+21x)/(81+x) 65(81+x)=6,024.4+21x 5,265+65x=6,024.4+21x 65x-21x=6,024.4-5,265 44x=759.4 x=759.4/44 x=17.25909 ans.
 Linear-equations/215765: Is 7x-6(y+x)=4 a Linear Equation? If so, put it in standard form.1 solutions Answer 162991 by checkley77(12569)   on 2009-09-22 18:28:22 (Show Source): You can put this solution on YOUR website!7x-6(y+x)=4 7x-6y-6x=4 -6y+x=4 -6y=-x+4 y=-x/6+4/6 y=-x/6+2/3 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x/6 +2/3).
 Surface-area/215728: show me the diagonal of a square divided into two triangles each with an are of 18 square centimeters1 solutions Answer 162988 by checkley77(12569)   on 2009-09-22 18:19:29 (Show Source): You can put this solution on YOUR website!x^2/2=18 x^2=2*18 x^2=36 x=sqrt36 x=6 cm. ans. for the length of the sides of the square. a^2+b^2=c^2 6^2+6^2=c^2 36+36=c^2 72=c^2c=sqrt72 c=8.4853 cm. ans. for the length of the diagonal.
 Equations/215730: clear fractions or decimals, solve, and check. 0.7(3x + 6) = 1.1 - (x - 3) 1 solutions Answer 162984 by checkley77(12569)   on 2009-09-22 18:14:32 (Show Source): You can put this solution on YOUR website!0.7(3x + 6) = 1.1 - (x - 3) 2.1x+4.2=1.1-x+3 2.1x+x=4.1-4.2 3.1x=-.1 x=-.1/3.1 or -.032258 ans. Proof: .7(3*-.032258+6)=1.1-(-.032258-3) .7(-.096774+6)=1.1-(-3.032258) .7*5.903226=1.1+3.032258 4.132258=4.132258
 Distributive-associative-commutative-properties/215732: This question is from textbook 2(x+2)-(x+2)1 solutions Answer 162981 by checkley77(12569)   on 2009-09-22 17:48:44 (Show Source): You can put this solution on YOUR website!2(x+2)-(x+2) (2-1)(x+2) 1(x+2) x+2 ans.
 Inequalities/215733: k+9=6(k-11)1 solutions Answer 162980 by checkley77(12569)   on 2009-09-22 17:46:34 (Show Source): You can put this solution on YOUR website!k+9=6(k-11) k+9=6k-66 k-6k=-66-9 -5k=-75 k=-75/-5 k=15 ans. Proof: 15+9=6(15-11) 24=6*4 24=24
 Travel_Word_Problems/215637: This question is from textbook At a 3-mile cross-country race an athlete runs 2 miles at 8 mph and 1 mile at 10 mph. What is the athlete's average speed?1 solutions Answer 162978 by checkley77(12569)   on 2009-09-22 17:39:52 (Show Source): You can put this solution on YOUR website!2/8+1/10 (2*10+1*8)/8*10) (20+8)/80 28/80=.35 hours for the race. 3/.35=8.57 mph. was the average speed.
 Numbers_Word_Problems/215647: finding three consecutive integers such that the sum of the first, twice the second, and three times the third is 62 1 solutions Answer 162975 by checkley77(12569)   on 2009-09-22 17:22:09 (Show Source): You can put this solution on YOUR website!Let x, x+1 & x+2 be the three integers. x+2(x+1)+3(x+2)=62 x+2x+2+3x+6=62 6x=62-2-6 6x=54 x=54/6 x=9 ans. for the lowest integer. 9+1=10 ans. for the second integer. 9+2=11 ans. for the third integer. 9+2*10+3*11=62 9+20+33=62 62=62
 Linear_Equations_And_Systems_Word_Problems/215649: James works two part time jobs. one pays \$7/hr and the other pays \$10/hr. Last week he worked a total of 32 hours and made a total of \$278. How many hours did he work at each job?1 solutions Answer 162971 by checkley77(12569)   on 2009-09-22 17:15:11 (Show Source): You can put this solution on YOUR website!10X+7(32-X)=278 10X+224-7X=278 3X=278-224 3X=54 X=54/3 X=18 HOURS WORKED AT THE \$10 PER HOUR JOB. 32-18=14 HOURS WORKED AT THE \$7 PER HOUR JOB. PROOF: 10*18+7*14=278 180+98=278 278=278
 real-numbers/215651: help finding 2 3/7 + 14/7 1 solutions Answer 162966 by checkley77(12569)   on 2009-09-22 17:06:35 (Show Source): You can put this solution on YOUR website!2 3/7 + 14/7 (2*7+3)/7+14/7 (14+3)/7+14/7 17/7+14/7 31/7 ANS.
 Equations/215657: 8P^-3 Divided by (2P)^2. I simplified it to 8P^-3 over 4P^2 but wasnt sure how to finish it since the 8p^-3 isnt in parenthesis and how i would divide it1 solutions Answer 162964 by checkley77(12569)   on 2009-09-22 17:03:23 (Show Source): You can put this solution on YOUR website!8P^-3/(2P)^2 8P^-3/4P^2 8/4P^2*8P^3 8/4P^2*P^3 8/4P^5 2/P^5 ANS.
 Linear_Equations_And_Systems_Word_Problems/215658: Harry invested a total of \$20,000.00 part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was \$1640?1 solutions Answer 162960 by checkley77(12569)   on 2009-09-22 16:54:40 (Show Source): You can put this solution on YOUR website!.10x+.07(20,000-x)=1640 .10x+1,400-.07x=1,640 .03x=1,640-1,400 .03x=240 x=240/.03 x=8,000 amount invested @ 10%. 20,000-8,000=12,000 amount invested @ 7% Proof: .10*8,000+.07*12,000=1,640 800+840=1,640 1640=1640