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# Recent problems solved by 'checkley71'

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 Systems-of-equations/123660: This question is from textbook Structure and Method Book 1 write an equation for the line with slope 1/3 and y-intercept 4. write an equation for the line with slope 3 going through the point (1,-2) write an equation for the line going through the points (3,2) and (-2,4)1 solutions Answer 90746 by checkley71(8403)   on 2008-01-30 15:20:14 (Show Source): You can put this solution on YOUR website!Y=mX+b IS THE LINE EQUATION. Y=X/3+4 ANSWER TO THE FIRST PROBLEM. ---------------------------------------- -2=3*1+b -2=3+b b=-2-3 b=-5 OR Y=3X-5 ANSWER. ---------------------------------------- SLOPE=(4-2)/(-2-3)=2/-5=-2/5 2=3*-2/5+b 2=-6/5+b b=2+6/5 b=(10+6)/5 b=16/5 Y=-2X/5+16/5 ANSWER.
 real-numbers/123675: what is percent of 40 out of 73? i dont understand. do i have to make a proportion. how do i make a proportion?1 solutions Answer 90741 by checkley71(8403)   on 2008-01-30 15:09:08 (Show Source): You can put this solution on YOUR website!40/73=.548 OR 54.8% IS THE ANSWER.
 Travel_Word_Problems/123684: An airplane traveling at 450 mph enters a region with a headwind of 25 mph. How long will it take the plane to travel 950 miles into this wind?1 solutions Answer 90740 by checkley71(8403)   on 2008-01-30 15:06:58 (Show Source): You can put this solution on YOUR website!950/(450-25)=950/425=2.2353 HOURS IS THE ANSWER.
 Problems-with-consecutive-odd-even-integers/123689: Find three consecutive (not even) integers such that the sum of the twice the first, six times the second and three times the third is 133.1 solutions Answer 90739 by checkley71(8403)   on 2008-01-30 15:02:54 (Show Source): You can put this solution on YOUR website!x, x+1, x+2 are the integers. 2x+6(x+1)+3(x+2)=133 2x+6x+6+3x+6=133 11x=133-12 11x=121 x=121 11x=11 answer for the first integer. 11=1=12 11+2=13 proof: 2*11+6*12+3*13=133 22+72+39=133 133=133
 Problems-with-consecutive-odd-even-integers/123685: Find three consecutive even integers such that the sum of the twice the first, six times the second and three times the third is 133.1 solutions Answer 90738 by checkley71(8403)   on 2008-01-30 15:01:25 (Show Source): You can put this solution on YOUR website!x, x+2, x+4 2x+6(x+2)+3(x+4)=133 2x+6x+12+3x+12=133 11x=133-24 11x=109 x=109/11 x=9.9090909 not an even number. --------------------------------------------------------------- ARE YOU SURE YOU HAVE THE PROPER WORDING IN THIS PROBLEM?????? THREE EVEN NUMBERS WHEN ADDED ADD OR MULTIPLIED MUST BE AN EVEN NUMBER 133 IS NOT AN EVEN NUMBER. IF THESE ARE NOT EVEN NINTERGERS THEN: -------------------------------------------------------------- x, x+1, x+2 are the integers. 2x+6(x+1)+3(x+2)=133 2x+6x+6+3x+6=133 11x=133-12 11x=121 x=121 11x=11 answer for the first integer. 11=1=12 11+2=13 proof: 2*11+6*12+3*13=133 22+72+39=133 133=133
 Miscellaneous_Word_Problems/123683: i have a total of 47,000 products shipped out over the past 3 years. out of that 47,000 i have had a total of 282 defects. what would be the average ratio of number of defects per 1,000 products shipped over the past 3 years?1 solutions Answer 90735 by checkley71(8403)   on 2008-01-30 14:54:20 (Show Source): You can put this solution on YOUR website!232/47000=.004936 .004936*1000=4.936 or 4.936 defects per 1,000 items shipped.
 Problems-with-consecutive-odd-even-integers/123682: Find three consecutive (not even) integers such that the sum of the twice the first, six times the second and three times the third is 133. 1 solutions Answer 90732 by checkley71(8403)   on 2008-01-30 14:49:38 (Show Source): You can put this solution on YOUR website!x, x+1, x+2 are the integers. 2x+6(x+1)+3(x+2)=133 2x+6x+6+3x+6=133 11x=133-12 11x=121 x=121 11x=11 answer for the first integer. 11=1=12 11+2=13 proof: 2*11+6*12+3*13=133 22+72+39=133 133=133
 Percentage-and-ratio-word-problems/123603: If 18% if apples in a barrel are overripe, how many overripe apples would you expect to find in a barrel of 250 apples?1 solutions Answer 90679 by checkley71(8403)   on 2008-01-30 09:50:47 (Show Source): You can put this solution on YOUR website!.18*250=45 apples would be overripe.
 Percentage-and-ratio-word-problems/123604: Mr. Wright earns a salary of \$150 a week plus a 12% commission on his sales. If Mr. Wright's sales for the week were \$2,475, what was his salary?1 solutions Answer 90677 by checkley71(8403)   on 2008-01-30 09:48:04 (Show Source): You can put this solution on YOUR website!.12*2,475+150=297+150=\$447 is his weekly salary containing his base of \$150 plus his commission of \$ \$297.
 Quadratic_Equations/123613: Write two equations whose roots have a sum of -2/3 and a product of 1/2.1 solutions Answer 90675 by checkley71(8403)   on 2008-01-30 09:43:05 (Show Source): You can put this solution on YOUR website!sqrtx+sqrty=-2/3 xy=1/2
 Percentage-and-ratio-word-problems/123627: If 53% of the college students are woman and there are 2096 women, How many men are there?1 solutions Answer 90674 by checkley71(8403)   on 2008-01-30 09:40:38 (Show Source): You can put this solution on YOUR website!SORRY I READ THE PROBLEM WRONG. .53*X=2096 .53X=2096 X=2096/.53 X=3955 WOULD BE THE TOTAL NUMBER OF STUDENTS. PROOF .53*3955=2096.
 Quadratic_Equations/123616: Local building codes require that a rectangular factory building must be surrounded by a parking lot of uniform width. The total area occupied by the factory and the parking lot must be double the factory area. If the factory is to be 80m wide and 120m long. How wide must the parking lot be? HELP:)1 solutions Answer 90673 by checkley71(8403)   on 2008-01-30 09:38:13 (Show Source): You can put this solution on YOUR website!80*120=9,600 m^2 is the area of the factory. therefore the total area of the factory & the parking lot must be: 2*9,600=19,200. the formula for this problem is: (80+2x)(120+2x)=19,200 9,600+240x+160x+4x^2=19,200 4x^2+400x+9,600-19,200=0 4x^2+400x-9,600=0 4(x^2+100-2,400)=0 4(x-20)(x+120)=0 x-20=0 x=20 answer for the width of the parking lot. proof (80+40)(120+40)=19,200 120*160=19,200 19,200=19,200
 Linear-equations/123620: I am suppose to draw the graph of each line using its y-intercept and its slope..I have gone over the chapter and am just confused on how exactly i find that using this equation. I am so ready to tear my hair out...can someone help? thank you1 solutions Answer 90671 by checkley71(8403)   on 2008-01-30 09:29:23 (Show Source): You can put this solution on YOUR website!THE STANDARD LINE FORMULA IS: Y=mX+b WHERE m=THE SLOPE & b=Y INTERCEPT. NOW CONVERT YOUR EQUATION TO THIS FORM THUS: 4X+3Y=9 3Y=-4X+9 Y=-4X/3+9/3 Y=-4X/3+3 ANSWER THIS REPRESENTS A LINE WITH A SLOPE OF -4/3 & THE Y INTERCEPT IS 3. (graph 300x300 pixels, x from -5 to 5, y from -5 to 5, y = -4x/3 +3).
 Distributive-associative-commutative-properties/123623: (2x+5)(5x-3)1 solutions Answer 90668 by checkley71(8403)   on 2008-01-30 09:22:28 (Show Source): You can put this solution on YOUR website!(2X+5)(5X-3)=10X^2+25X-6X-15=10X^2+19X-15 ANSWER.
 Evaluation_Word_Problems/123423: PROBLEM SOLVING: hOW TO SoLve Suppose your class recieves a \$1084 for seeling 205 packages of greeting cards and gift wrap. If tyhe girft wrap is 4 dollars a package and the greeting cards are 10 a package, find the number of each type of package sold.1 solutions Answer 90594 by checkley71(8403)   on 2008-01-29 17:26:15 (Show Source): You can put this solution on YOUR website!C+W=205 OR C=205-W 4C+10W=1084 4(205-W)+10W=1084 820-4W+10W=1084 6W=1084-820 6W=264 W=264/6 W=44 NUMBER OF WRAP ITEMS. C+44=205 C=205-44 C=161 NUMBER OF CARDS SOLD. PROOF 4*161+10*44=1084 644+440=1084 1084=1084
 Evaluation_Word_Problems/123424: Probleam solving: How To SoLve: Last week, Rebas Reptile store recived 1975 dollars for selling 35 reptiles. Iguanas sell for \$75 and corn snakes sell for \$25 how many iguanas and how many corn snake did Reba sell1 solutions Answer 90589 by checkley71(8403)   on 2008-01-29 17:12:49 (Show Source): You can put this solution on YOUR website!C+I=35 OR C=35-I 75C+25I=1975 75(35-I)+25I=1975 2625-75I+25I=1975 -50I=1975-2625 -50I=-650 I=-650/-50 I=13 NUMBER OF IGUANAS. 35-13=22 NUMBER OF CORN SNAKES. PROOF. 75*22+25*13=1975 1650+325=1975 1975=1975
 Evaluation_Word_Problems/123414: PROBLEM SOLVING: HOW TO SOLV??? A weekend at the Beach Bay Hotel in Florida incledues 2 nights and 4 meals at the cost of \$194. A week cost \$650 for 7 nights and 10 meals. Fiind the cost for one night then the cost of one meal.1 solutions Answer 90587 by checkley71(8403)   on 2008-01-29 17:04:49 (Show Source): You can put this solution on YOUR website!2N+4M=194 NOW MULTIPLY THIS EQUATION BY -2.5 THEN ADD THEM. 7N+10M=650 -5N-10M=-485 ------------------------------------ 2N=650-485 2N=165 N=165/2 N=\$82.50 IS THE NIGHT RATE. 2*82.5+4M=194 165+4M=194 4M=194-165 4M=29 M=29/4 M=\$7.25 IS THE MEAL RATE. PROOF. 7*82.50+10*7.25=650 577.5+72.5=650 650=850
 Mixture_Word_Problems/123412: A seedman has seeds worth \$0.50 per pound mixed with seeds worth \$0.80 per pound. If he wishes to make a mixture of 30 lbs to sell at \$0.75 per pound, how many pounds of each should he use? 5 lbs of \$0.50 25 lbs of \$0.801 solutions Answer 90585 by checkley71(8403)   on 2008-01-29 16:52:28 (Show Source): You can put this solution on YOUR website!.8X+.5(30-X)=.75*30 .8X+15-.5X=22.5 .3X=22.5-15 .3X=7.5 X=7.5/.3 X=25 POUNDS OF \$.80 MIX IS USED. 30-25=5 POUNDS OF \$.50 MIX IS USED. PROOF. .8*25+.5*5=22.5 20+2.5=22.5 22.5=22.5
 Mixture_Word_Problems/123407: An alloy of tin is 16% tin. How much tin must be added to make 820 lbs of alloy that is 18% tin? Answer to the nearest tenth.1 solutions Answer 90583 by checkley71(8403)   on 2008-01-29 16:42:57 (Show Source): You can put this solution on YOUR website!.16X+(820-X)=.18*820 .16X+820-X=147.6 -.84X=147.6-820 -.84=-672.4 X=-672.4/-.84 X=800.5 ANSWER FOR THE AMOUNT OF 18% TIN. 820-800=20 LBS. OF PURE TIN IS USED. PROOF. .16*800.5+19.5=.18*820 128.08+19.5=147.6 147.6~147.6
 Mixture_Word_Problems/123404: A solution of saltwater is 10% salt and weighs 50 lbs. How much salt is added to produce a solution that is 25% salt (in lbs)?1 solutions Answer 90578 by checkley71(8403)   on 2008-01-29 16:22:42 (Show Source): You can put this solution on YOUR website!.1*50+X=.25(50+X) 5+X=12.5+.25X X-.25X=12.5-5 .75X=7.5 X=7.5/.75 X=10 POUNDS OF SALT ARE NEEDED. PROOF. .1*50+10=.25(50+10) 5+10=.25(60) 15=15
 Linear-equations/123373: how would i graph a slope for -3/2,y intercept =-11 solutions Answer 90576 by checkley71(8403)   on 2008-01-29 16:14:53 (Show Source): You can put this solution on YOUR website!THE LINE FORMULA IS: Y=mX+b WHERE m=SLOPE & b=Y INTERCEPT. Y=-3X/2-1 ANSWER.
 Mixture_Word_Problems/123383: This problem has me perplexed. Help me please! How many pounds of a chicken feed that sells for \$5 per pound must be mixed with 400 pounds of a feed that sells for \$8 per pound to make a chicken feed that sells for \$7.50?1 solutions Answer 90574 by checkley71(8403)   on 2008-01-29 16:02:25 (Show Source): You can put this solution on YOUR website!5X+400*8=7.5(400+X) 5X+3200=3000+7.5X 5X-7.5X=3000-3200 -2.5X=-200 X=-200/-2.5 X=80 POUNDS OF CHICKEN IS NEEDED. PROOF. 5*80+3200=7.5(480) 400+3200=3600 3600=3600
 Quadratic_Equations/123394: I am having a very hard time trying to figure this out. Can you please help me? I am sorry, I forgot to put in there what it is I need to do with the problem. Find the axis of symmetry. y = x squared - 5x + 31 solutions Answer 90572 by checkley71(8403)   on 2008-01-29 15:57:32 (Show Source): You can put this solution on YOUR website!Y=X^2-5X+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2-5x +3). IT LOOKS LIKE X=2.5 IS THE AXIS OF SYMMETRY.
 Linear-systems/123287: I have a problem (8th grade) that I can't get started on. "a group of friends eat at a restaurant and agreed to split the \$6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?" It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form.1 solutions Answer 90470 by checkley71(8403)   on 2008-01-28 21:49:03 (Show Source): You can put this solution on YOUR website!6/X=[6/(X-2)]-.25 6/X=[6+.25X+.5]/(X-2) 6(X-2)=X(6-.25X+.5) 6X-12=6X-.25X^2+.5X -.25X^2+.5X+12=0 .25X^2-.5X-12=0 (.25X-2)(X+6)=0 .25X-2=0 .25X=2 X=2/.25 X=8 ANSWER FOR THE NUMBER OF MEN BEFORE 2 LEFT. PROOF 6/8=6/(8-2)-.25 .75=6/6-.25 .75=1-.25 .75=.75
 Quadratic_Equations/123260: A 4 by 6 inch photograph is to be matted such that the area of the mat is double the area of the photo. Assuming that the mat is the same width all around the picture, what is the width of the mat ?1 solutions Answer 90450 by checkley71(8403)   on 2008-01-28 21:02:56 (Show Source): You can put this solution on YOUR website!THE BEST WAY TO SOLVE THESE TYPE OF PROBLEMS IS TO DRAW A SKETCH ( NOT NECESSARY TO SCALE), ASIGN VALUES FOR THE LENGTH & WIDTH, THEN ADD THE MAT AREA & ASSIGN THE WIDTH=X. YOU'LL GET 4*6=24 FOR THE ORIGINAL PHOTO & (4+2X)(6+2X)=2+24 OR TWICE THE ORIGINAL AREA. DOES THIS HELP VISUALIZE THE PROBLEM AND PUT IT IN PERSPECTIVE??????? --------------------------------------------------- 2*4*6=(4+2X)(6+2X) 48=24+12X+8X+4X^2 4X^2+20X+24-48=0 4X^2+20X-24=0 4(X^2+5X-6)=0 4(X+6)(X-1)=0 X=1 ANSWER FOR THE WIDTH OF THE MAT. PROOF (4+2)(6+2)=48 6*8=48 48=48
 Travel_Word_Problems/123279: a family was driving 270 miles from miami to tampa.after 5 hours of driving they saw a sign that said tampa 45 miles.what was the average number of miles per hour they drove for the first five hours?1 solutions Answer 90445 by checkley71(8403)   on 2008-01-28 20:57:28 (Show Source): You can put this solution on YOUR website!(270-45)/5=X 225/5=X 5X=225 X=225/5 X=45 MPH IS THEIR SPEED TO GO 225 IN 5 HOURS. PROOF 45*5=225 225=225
 Linear_Equations_And_Systems_Word_Problems/123282: painting is 10 inch tall and 15 in. wide. A print of the painting is 25 inch tall, how wide is the print. 16 2/3 in., 30 inch, 37 1/2 inch, 40 inch, 0r 60inch. ---answers I said 37 1/2, is this right?1 solutions Answer 90441 by checkley71(8403)   on 2008-01-28 20:51:22 (Show Source): You can put this solution on YOUR website!10/25=15/X 10X=25*15 10X=375 X=375/10 X=37.5 ANSWER. YOU ARE RIGHT!!!! GOOD WORK.
 Quadratic_Equations/123264: A rectangular lawn has dimensions 30 metres by 40 metres. A strip of uniform width is to be mowed around the perimeter.How wide should the strip be so that exactly half of the lawn gets mowed ?1 solutions Answer 90440 by checkley71(8403)   on 2008-01-28 20:47:45 (Show Source): You can put this solution on YOUR website!30*40=2(30-2X)(40-2X) 1200=2(1200-80X-60X+4X^2) 1200=2(1200-140X+4X^2) 1200=2400-280X+8X^2 8X^2-280X+2400-1200=0 8X^2-280X+1200 8(X^2-35X+150) 8(X-5)(X-30)=0 X-5=0 X=5 ANSWER FOR THE WIDTH OF THE STRIP MOWED TO REDUCE THE LAWN TO 50%. PROOF (30-2*5)(40-2*5)=1200/2 20*30=600 600=600
 Evaluation_Word_Problems/123268: One fourth of a number is two more than one fifth of the number. Find the number.1 solutions Answer 90435 by checkley71(8403)   on 2008-01-28 20:26:17 (Show Source): You can put this solution on YOUR website!X/4=2+X/5 X/4-X/5=2 (5X-4X)/20=2 CROSS MULTIPLY X=40 ANSWER. PROOF 40/4=2+40/5 10=2+8 10=10
 Inequalities/123038: -1/2x > 6.1 solutions Answer 90330 by checkley71(8403)   on 2008-01-27 22:59:54 (Show Source): You can put this solution on YOUR website!-X/2>6 -X>2*6 -X>12 DIVIDE BOTH SIDES BY -1 CHANGES THE > SIGN TO A < SIGN X<-12 PROOF LET X=-12.1 -(-12.1)/2>6 12.1/2>6 6.05>6
 Expressions-with-variables/123064: sorry i cant seem to figure this one out SOLVE FOR X 0.05x+0.065(5000-x)=295 THANKS ALOT 1 solutions Answer 90329 by checkley71(8403)   on 2008-01-27 22:55:43 (Show Source): You can put this solution on YOUR website!.05X+.065(5000-X)=295 .05X+325-.065X=295 -.015X=295-325 -.015X=-30 X=-30/-.015 X=2000 ANSWER. PROOF. .05*2000+.065(5000-2000)=295 100+.065*3000=295 100+195=295 295=295