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# Recent problems solved by 'checkley77'

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 Equations/319510: 5x+5(4x-1)=201 solutions Answer 228806 by checkley77(12569)   on 2010-07-03 17:06:04 (Show Source): You can put this solution on YOUR website!5x+5(4x-1)=20 5x+20x-5=20 25x=20+5 25x=25 x=25/25 x=1 ans. Proof: 5*1+5(4*1-1)=20 5+5(4-1)=20 5+5*3=20 5+15=20 20=20
 Equations/319511: 41.68=4.7-8.6x1 solutions Answer 228805 by checkley77(12569)   on 2010-07-03 17:03:15 (Show Source): You can put this solution on YOUR website!41.68=4.7-8.6x 8.6x=4.7-41.68 8.6x=-36.98 x=-36.98/8.6 x=-4.3 ans. Proof: 41.68=4.7-8.6*-4.3 41.68=4.7+36.98 41.68=41.68
 Equations/319512: (12a-3b+5c)-5(-5a+4b-6c)1 solutions Answer 228803 by checkley77(12569)   on 2010-07-03 16:58:20 (Show Source): You can put this solution on YOUR website!(12a-3b+5c)-5(-5a+4b-6c) 12a-3b+5c+25a-20b+30c 37a-23b+35c ans.
 Equations/319514: -1/7+x=-3/41 solutions Answer 228802 by checkley77(12569)   on 2010-07-03 16:54:33 (Show Source): You can put this solution on YOUR website!-1/7+x=-3/4 X=-3/4+1/7 (THE LCD=28) X=(-3*7+1*4)/4*7 X=(-21+4)/28 X=-17/28 ANS. PROOF: -1/7-17/28=-3/4 -4/28-17/28=-3/4 -21/28=-3/4 -3/4=-3/4
 Numbers_Word_Problems/319526: on a particular eveninga theater sold 113 tickets. children's tickets sold for \$3.50 and adult tickets sold for \$6.00. If the amount collected for the itckets was \$633, how many of each ticket were sold?1 solutions Answer 228801 by checkley77(12569)   on 2010-07-03 16:49:43 (Show Source): You can put this solution on YOUR website!A+C=113 OR A=113-C 3.50C+6.00A=633 3.50C+6.00(113-C)=633 3.50C+678-6C=633 -2.50C=633-678 -2.5C=-45 C=-45/-2.5 C=18 NUMBER OF CHILDREN TICKETS SOLD. 113-18=95 NUMBER OF ADULT TICKETS SOLD. PROOF: 3.5*18+6*95=633 63+570=633 633=633
 Triangles/319534: The lengths of the legs of a right triangle are 8 inches and 12 inches. What is the exact length of the hypotenuse? 1 solutions Answer 228800 by checkley77(12569)   on 2010-07-03 16:44:12 (Show Source): You can put this solution on YOUR website!A^2+B^2=C^2 8^2+12^2=C^2 64+144=C^2 208=C^2 C=SQRT208 C=14.422205 IN. ANS.
 Money_Word_Problems/319013: A=\$10,000 (1+0.05/2)^2.61 solutions Answer 228507 by checkley77(12569)   on 2010-07-01 18:43:43 (Show Source): You can put this solution on YOUR website!A=\$10,000 (1+0.05/2)^2.6 A=10,000(1.025)^2.6 A=10,000*1.0663 A=\$10,663.06 ANS.
 Linear_Algebra/319047: f(x) = -3x + 9 g(x) = 8x + 7 Find f(x) + g(x) 1 solutions Answer 228505 by checkley77(12569)   on 2010-07-01 18:37:29 (Show Source): You can put this solution on YOUR website!f(x) = -3x + 9 g(x) = 8x + 7 Find f(x) + g(x) -3x+9+8x+7 5x+16 ans.
 Length-and-distance/319049: Can you find the midpoint between the points (3, 5) and (1, -8)? 1 solutions Answer 228501 by checkley77(12569)   on 2010-07-01 18:34:24 (Show Source): You can put this solution on YOUR website!(3, 5) and (1, -8)? Distance between the X points. 3-1=2 X midpoint=3-2/2=3-1=2 or 1+2/2=1+1=2. Distance between the Y points. 5+8=13 Y midpoint=5-13/2=5-6.5=-1.5 or -8+13/2=-8+6.5=-1.5. (2,-1.5) ans. for the midpoint.
 Miscellaneous_Word_Problems/319052: Gwen bought a new toyota corolla. The selling price plus the 8% state sales tax was \$15,714 what was the selling price?1 solutions Answer 228492 by checkley77(12569)   on 2010-07-01 18:27:06 (Show Source): You can put this solution on YOUR website!15,714/1.08=\$14,550 price of car before the sales tax.
 Travel_Word_Problems/319074: Joe ran up a path to the top of a hill at an average speed of 2 mph and ran down the same path at an average speed of 8 mph. If Joe ran up and down the hill in 1 hour, what was the total distance that he ran, in miles?1 solutions Answer 228488 by checkley77(12569)   on 2010-07-01 18:16:23 (Show Source): You can put this solution on YOUR website!D=RT D=2T UP THE HILL. D=8(1-T) DOWN THE HILL. 2T=8(1-T) 2T=8-8T 2T+8T=8 10T=8 T=8/10=.8 HOURS FOR THE RUN UP THE HILL. 1-.8=.2 HOURS FOR THE RUN DOWN THE HILL. PROOF: 2*.8=8*.2 1.6=1.6 1.6+1.6=3.2 MILES IS THE TOTAL DISTANCE UP & DOWN.
 Miscellaneous_Word_Problems/319089: On the first day of Jack's exercise program, he jogged1/8 mile. Every day after that, he increases the distance he jogs by 1/8 mile. If he has jogged a total of 3 1/2miles so far, how far must he jog tomorrow?1 solutions Answer 228480 by checkley77(12569)   on 2010-07-01 18:03:40 (Show Source): You can put this solution on YOUR website!3 1/2 + 1/8=3 4/8 + 1/8=3 5/8 ans.
 Polynomials-and-rational-expressions/319114: FInd three consecutive numbers where the product of the smaller two numbers is 28 less than the suare of the largest number?1 solutions Answer 228475 by checkley77(12569)   on 2010-07-01 17:55:04 (Show Source): You can put this solution on YOUR website!Let x, x+1 & x+2 be the 3 consecutive numbers. x(x+1)=(x+2)^2-28 x^2+x=x^2+4x+4-28 x^2-x^2+x-4x=-24 -3x=-24 x=-24/-3 x=8 ans. for the smallest number. Proof: 8+1=9 ans. for the middle number. 8+2=10 ans. for the largest number. Proof: 8*9=10^2-28 72=100-28 72=72
 Age_Word_Problems/319117: In his pocket a boy has 3 red marbles, 4 blue marbles and 4 green marbles. How many will he have to take out of his pocket to ensure he has taken out atleast one of every color?1 solutions Answer 228471 by checkley77(12569)   on 2010-07-01 17:37:43 (Show Source): You can put this solution on YOUR website!The answer is 9. The first 4 could be green. The next 4 could be red. The next one must be blue. 4+4+1=9
 Age_Word_Problems/319118: john can type a 40, page document in 24 minutes, susan can type it in 30 minutes, jack can type it in 24. working together, how much time will it take them to type the same document?1 solutions Answer 228470 by checkley77(12569)   on 2010-07-01 17:33:23 (Show Source): You can put this solution on YOUR website!1/40+1/24+1/30=1/X (3+5+4)/120=1/X 12/120=1/X 1/10=1/X CROSS MULTIPLY. X=10 MINUTES ANS.
 Radicals/319120: simplify 5^2 (3+4)-3^2(6-3)1 solutions Answer 228469 by checkley77(12569)   on 2010-07-01 17:27:28 (Show Source): You can put this solution on YOUR website!5^2 (3+4)-3^2(6-3) 25*7-9*3 175-27=148 ANS.
 Radicals/319122: solve 2-2(2x-2)=-(3x+3)1 solutions Answer 228468 by checkley77(12569)   on 2010-07-01 17:25:10 (Show Source): You can put this solution on YOUR website!2-2(2x-2)=-(3x+3) 2-4X+4=-3X-3 -4X+3X=-3-2-4 -X=-9 X=9 ANS. PROOF: 2-2(2*9-2)=-(3*9+3) 2-2(18-2)=-(27+3) 2-2*16=-30 2-32=-30 -30=-30
 Miscellaneous_Word_Problems/319134: For arectanglar garden, the length is 12 ft and the width is 7 feet. Find the length of the diagonal. Round to the nearest tenth of a foot.1 solutions Answer 228466 by checkley77(12569)   on 2010-07-01 17:16:37 (Show Source): You can put this solution on YOUR website!This is a right triangle. A^2+B^2=C^2 12^2+7^2=C^2 144+49=C^2 193=C^2 C=SQRT193 C=13.9 ANS. FOR THE DIAGONAL.
 Miscellaneous_Word_Problems/318879: Television sets: What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to diagonal of the screen. A 15 inches TV set also has a width of 12 inches. What is the height of a 15 inch TV in inches?1 solutions Answer 228276 by checkley77(12569)   on 2010-06-30 18:14:07 (Show Source): You can put this solution on YOUR website!A^2+B^2=C^2 12^2+B^2=15^2 144=B^2=225 B^2=225-144 B^2=81 B-SQRT81 B=9 INCHES FOR THE HEIGHT. PROOF: 12^2+9^2-1562 144+81+225 225=225
 Probability-and-statistics/318880: A single card is selected from an ordinary deck of cards. Find the probability P(five of hearts).1 solutions Answer 228275 by checkley77(12569)   on 2010-06-30 18:09:32 (Show Source): You can put this solution on YOUR website!Success/Total outcomes 1/52 ans. or .01923=1.923% chance of success.
 Probability-and-statistics/318885: A state has license plates with 3 letters followed by 3 digits where repetitions are NOT allowed. How many license plates are possible? 1 solutions Answer 228272 by checkley77(12569)   on 2010-06-30 17:49:44 (Show Source): You can put this solution on YOUR website!26*25*24*10*9*8=11,232,000 possible different licenses.
 Polynomials-and-rational-expressions/318535: Will some please help me solve this problem? 48z^4-3w^4z^41 solutions Answer 228071 by checkley77(12569)   on 2010-06-29 16:15:30 (Show Source): You can put this solution on YOUR website!48z^4-3w^4z^4 3Z^4(16-W^4) 3Z^4(4+W^2)(4-W^2) 3Z^4(4+W^2)(2+W)(2-W) ans.
 Miscellaneous_Word_Problems/318558: A city council decided to levy a 10¢-per-cup tax on fancy coffee drinks sold there. They estimated the tax would gross about \$6 million per year. About how many fancy coffee drinks are sold per year in that city?1 solutions Answer 228070 by checkley77(12569)   on 2010-06-29 16:07:22 (Show Source): You can put this solution on YOUR website!6,000,000/.10=60,000,000 CUPS NEED TO BE SOLD.
 Travel_Word_Problems/318566: Train A and B are traveling parallel. Train a is traveling 100 miles per hour and tain b is traveling at 125 miles per hour. train a passes the statin at 7:10 pm and train b passes at 7:22 pm. waht time will train b cath up to train a?1 solutions Answer 228068 by checkley77(12569)   on 2010-06-29 16:05:14 (Show Source): You can put this solution on YOUR website!D=RT D=100T for train A. D=125(T-.2) for train B. 100T=125(T-.2) 100T=125T-25 100T-125T=-25 -25T=25 T=25/25 T=1 HOUR ANS. PROOF: 100*1=125(1-.2) 100=125*.8 100=100
 Travel_Word_Problems/318567: soybean meal is 12% protein;cornmeal is 6% protein. how many pounds of each should be mixed together to inorder to get 240 lbs mixture tht is 8% protein. cormeal 160 pounds in mixture soybean 80 pounds in mixture1 solutions Answer 228065 by checkley77(12569)   on 2010-06-29 15:57:59 (Show Source): You can put this solution on YOUR website!.12x+.06(240-x)=.08*240 .12x+14.4-.06x=19.2 .12x-.06x=19.2-14.4 .06x=4.8 x=4.8/.06 x=80 pounds of soybeans is used. 240-80=160 pounds of cornmeal is used. Proof: .12*80+.06*160=.08*240 9.6+9.6=19.2 19.2=19.2
 Travel_Word_Problems/318573: soybean meal is 12% protein cornmeal is 6% protein. how many pounds of each should be mixed together to get 240 lb mixture tht is 8% protein? pounds of cornmeal in mixture [160 lbs.] pounds of soybean in mixture [80 lbs.]1 solutions Answer 228064 by checkley77(12569)   on 2010-06-29 15:55:33 (Show Source): You can put this solution on YOUR website!.12x+.06(240-x)=.08*240 .12x+14.4-.06x=19.2 .12x-.06x=19.2-14.4 .06x=4.8 x=4.8/.06 x=80 pounds of soybeans is used. 240-80=160 pounds of cornmeal is used. Proof: .12*80+.06*160=.08*240 9.6+9.6=19.2 19.2=19.2
 Average/318581: On three consecutive passes, a football team gains 10 yards, loses 39 yards, and gains 39 yards.? What number represents the total net yardage?1 solutions Answer 228061 by checkley77(12569)   on 2010-06-29 15:46:58 (Show Source): You can put this solution on YOUR website!10-39+39=10 yds. gained ans.
 Equations/317982: 3/2y-y=4+1/2y1 solutions Answer 227706 by checkley77(12569)   on 2010-06-27 18:47:34 (Show Source): You can put this solution on YOUR website!3/2y-y=4+1/2y 3y/2-y-y/2=4 (3y-y)/2-y=4 2y/2-y=4 y-y=4 0=4 no solution for y.
 Rectangles/317995: The perimeter of a rectangle is 140m. The length is 7m more than twice the width. Find the dimensions.1 solutions Answer 227700 by checkley77(12569)   on 2010-06-27 18:39:27 (Show Source): You can put this solution on YOUR website!L=2W+7 P=2L+2W 140=2(2W+7)+2W 140=4W+14+2W 140=6W+14 6W=140-14 6W=126 W=126/6 W=21 m. ANS. L=2*21+7=42+7=49 m. ans. for the lengtrh. Proof:140=2*49=2*21 140=98+42 140=140
 Linear-equations/317996: Navigate questions by number Question #10/10 A cyclist travels 70 in 5 hours going against the wind. He travels 110 mi with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind? Rate of the cyclist in the sill air: Rate of the wind: 1 solutions Answer 227698 by checkley77(12569)   on 2010-06-27 18:35:14 (Show Source): You can put this solution on YOUR website!D=RT 70=R*5 AGAINST THE WIND. R=70/5 R=14 MPH. 110=R*5 WITH THE WIND R=110/5 R=22 MPH. (22-14)/2=8/2=4 MPH IS THE SPEED OF THE WIND. 70=(R-4)*5 70=5R-20 5R=70+20 5R=90 R=90/5 R=18 MPH FOR THE CYCLIST IN STILL AIR. 110=(R+4)5 110=5R+20 5R=110-20 5R=90 R=18 DITTO.
 Money_Word_Problems/317997: in a recent year, the price of a gallon of home heating oil was \$1.28. The price then rose .6 cent, dropped .2 cent and then rose .5 cent. By how much did the price change during that period? Please write your answer as a complete sentence and must show all work.1 solutions Answer 227693 by checkley77(12569)   on 2010-06-27 18:26:52 (Show Source): You can put this solution on YOUR website!Starting @ 1.28+.006=1.286 for the first increase, Then it dropped from 1.286-.002=1.284 after this drop. Then it rose 1.284+.005=1.289 after this increase. Thus the final price of the gas is \$1.289 per gallon afterthe 2 increases & the one decrease in price.