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# Recent problems solved by 'checkley77'

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 Travel_Word_Problems/238842: Two cyclists, 95 mi apart, start riding towards each other at the same time. One cycles twice as fast as the other. If they meet 4 hr later, at what average speed is each cyclist traveling? (Round the answers to two decimal places.)1 solutions Answer 175488 by checkley77(12569)   on 2009-11-14 18:25:10 (Show Source): You can put this solution on YOUR website!D=RT 95=(X+2X)4 95=3X*4 95=12X X=95/12 X=7.91 MPH IS THE SLOWER SPEED RIDER. 2*7.91=15.83 MPH FOR THE FASTER RIDER. PROOF 95=(7.91+15.83)4 95=23.74*4 95~95
 Length-and-distance/238844: The crew of a spaceship searched for a missing shuttlecraft for 700 miles in every direction from their position. How many cubic miles of space were searched? 1 solutions Answer 175487 by checkley77(12569)   on 2009-11-14 18:20:11 (Show Source): You can put this solution on YOUR website!V=4/3PIR^3 V=4/3*3.14*700^3 V=1,436,026,667 MI^3
 Travel_Word_Problems/238852: Last weekend two college students were returning to school 200 miles away. During a blizzard, they were only able to average 25 miles per hour. For the rest of their trip, they averaged 55 miles per hour. If the entire trip took 4 hours, how long were they driving in the blizzard?1 solutions Answer 175485 by checkley77(12569)   on 2009-11-14 17:30:18 (Show Source): You can put this solution on YOUR website!D=RT 200=25T+55(4-T) 200=25T+220-55T 200-220=-30T T=-20/-30 T=2/3 OR 40 MINUTES DRIVING IN THE BLIZZARD. 4-2/3=3 1/3 OR 10/3 HOURS DRIVING @ 55 MPH. PROOF: 200=25*2/3+55*10/3 200=50/3+550/3 200=600/3 200=200
 real-numbers/238854: If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save?1 solutions Answer 175482 by checkley77(12569)   on 2009-11-14 17:21:13 (Show Source): You can put this solution on YOUR website!25%-20%=5% IS HER SAVINGS.
 Distributive-associative-commutative-properties/238855: Can you please show me the steps for solving? x+3(x-1)=x+181 solutions Answer 175481 by checkley77(12569)   on 2009-11-14 17:19:28 (Show Source): You can put this solution on YOUR website!x+3(x-1)=x+18 MULTIPLY 3(X-1) X+3X-3=X+18 COMBINE THE X TERMS 4X-X=18+3 ADD LIKE TERMS 3X=21 DIVIDE BY 3 X=21/3 REDUCE THE FRACTION X=7 ANS. PROOF: 7+3(7-1)=7+18 7+3*6=25 7+18=25 25=25
 Money_Word_Problems/238853: An employee's new annual salary is 36,516, which include a 5% pay raise and a 2.4% cost-of-living allowance. What was the employee's orginal salary?1 solutions Answer 175480 by checkley77(12569)   on 2009-11-14 17:14:51 (Show Source): You can put this solution on YOUR website!X*1.05*1.024=36,516 1.0752X=36,516 X=36,516/1.0752 X=\$33,962.05 WAS THE ORIGINAL SALARY.
 Functions/238764: how do u solve 4(a)= 3a*3a-21 solutions Answer 175460 by checkley77(12569)   on 2009-11-14 13:08:26 (Show Source): You can put this solution on YOUR website!4(a)= 3a*3a-2 4A=9A^2-2 9A^2-4A-2=0 A=(4+-SQRT[-4^2-4*9*-2])/2*9 A=(4+-SQRT[16+72])/18 A=(4+-SQRT88)/18 A=(4+-9.38)/18 A=13.38/18 A=.7434 ANS. A=(4-9.38)/18 A=-5.38/18 A=-.299 ANS.
 Equations/238774: Solve: P/3- 3P/8=5 thanks1 solutions Answer 175459 by checkley77(12569)   on 2009-11-14 12:59:11 (Show Source): You can put this solution on YOUR website!P/3- 3P/8=5 (8P-3*3P)/(3*8)=5 (8P-9P)/24=5 -P/24=5 -P=120 P=-120 ANS. PROOF: -120/3+3*120/8=5 -40+360/8=5 -40+45=5 5=5
 Problems-with-consecutive-odd-even-integers/238776: the greater of 2 consecutive integers is 15 more than twice the smaller1 solutions Answer 175458 by checkley77(12569)   on 2009-11-14 12:55:02 (Show Source): You can put this solution on YOUR website!LET X & (X+1) BE THE 2 CONSECUTIVE INTEGERS. X+1=2X+15 X-2X=15-1 -X=14 X=-14 ANS. FOR THE SMALLER INTEGER. -14+1=-13 ANS. FOR THE LARGER INTEGER. PROOF: -13=2*-14+15 -13=-28+15 -13=-13
 Miscellaneous_Word_Problems/238777: Can you translate this into an algebraic expression? The product of 38% and some number1 solutions Answer 175457 by checkley77(12569)   on 2009-11-14 12:51:18 (Show Source): You can put this solution on YOUR website!The product of 38% and some number 38%=.38 .38X ans.
 Equations/238781: Which one of the following is the correct method for evaluating the expression: 3x^2-5 for x=7? thanks 1 solutions Answer 175455 by checkley77(12569)   on 2009-11-14 12:49:12 (Show Source): You can put this solution on YOUR website!3x^2-5 for x=7? First take care of the powers(7^2)) 3*49-5 Next multiply 147-5 Then subtract 142 ans.
 Equations/238743: Translate to an algebraic expression: 4 less than 6 times a number thanks1 solutions Answer 175433 by checkley77(12569)   on 2009-11-14 10:59:42 (Show Source): You can put this solution on YOUR website!6x-4=2(3x-2) ans.
 Equations/238570: Solve by the elimination method. .05x+.25y=44 .15x+.05y=481 solutions Answer 175430 by checkley77(12569)   on 2009-11-14 10:26:55 (Show Source): You can put this solution on YOUR website!.05x+.25y=44 multiply by -3 & add .15x+.05y=48 -.15x-.75y=-132 -------------------- -.70y=-84 y=-84/-.70 y=120 ans. ,05x+.25*120=44 .05x+30=44 .05x=44-30 .05x=14 x=14/.05 x=280 ans. Proof: .15*280+.05*120=48 42+6=48 48=48
 Geometry_Word_Problems/238582: the state of colorado is almost perfectly rectangular, with its north border 111 mile longer than its west border. if the state encompasses 104,000 mi squared estimate the dimensions of colorado. round to the nearest mile.1 solutions Answer 175429 by checkley77(12569)   on 2009-11-14 10:19:07 (Show Source): You can put this solution on YOUR website!x(111+x)=104,000 111x+x^2=104,000 x^2+111x-104,000=0 x=(-111+-sqrt[111^2-4*1*-104,000])/281 x=(-111+-sqrt[12,321+416,000])/2 x=(-111+-sqrt[428.321])/2 x=(-111+-654.46)/2 x=(-111+654.46)/2 x=543.46/2 x=272 miles is the length of the west border. Proof: 272(111+272)=104,000 272*383=104,000 104,000~104,000
 Linear-equations/238653: solve using addition method 3/7x+5/9y=27 1/9x+2/7y=71 solutions Answer 175426 by checkley77(12569)   on 2009-11-14 09:54:04 (Show Source): You can put this solution on YOUR website!3X/7+5Y/9=27 MULTIPLY BY 1/9 1X/9+2Y/7=7 MULTIPLY BY -3/7 & ADD (3X/7)(1/9)+(5Y/9)(1/9)=27(1/9) (X/9)(-3/7)+(2Y/7)(-3/7)=7(-3/7) ---------------------------------------- 3X/27-3X/27+5Y/81-6Y/49=27/9-21/7 5Y/81-6Y/49=3-3 (5Y*49-6Y*81)/81*49=0 245y-486y=0 -241y=0 y=0 ans. 3x/7=27 3x=27*7 3x=189 x=189/3 x=63 ans. Proof: 63/9+2*0/7=7 7=7
 Linear_Equations_And_Systems_Word_Problems/238682: Amy paid \$63.36 for a pair of running shoes during a 15% off sale. What was the regular price? Train A and B are traveling in the same direction on parallel tracks. Tran A is traveling at 100 miles per hour and train B is traveling at 125 miles per hour. Train A passes a station at 1:25p.m If train B passes the same station at 1:37p.m., at what time will train B catch up to train A?1 solutions Answer 175423 by checkley77(12569)   on 2009-11-14 09:38:58 (Show Source): You can put this solution on YOUR website!63.36=(1-.15)x 63.36=.85x x=63.36/.85 x=\$74.54 was the original price. ====================================== D=RT SEEING AS THE DISTANCES ARE EQUAL THEN: 100T=125(T-.2) 100T=125T-25 100T-125T=-25 -25T=-25 T=-25/-25 T=1 HOUR THEY WILL MEET.
 Miscellaneous_Word_Problems/238715: Your last science test was worth 180 points. The test contained 42 questions, which were worth either 3 points, or 5 points each. How many 5-point questions were on the test?1 solutions Answer 175417 by checkley77(12569)   on 2009-11-14 09:14:49 (Show Source): You can put this solution on YOUR website!3x+5(42-x)=180 3x+210-5x=180 -2x=180-210 -2x=-30 x=-30/-2 x=15 5 point questions were on the test. 42-15=27 3 points questions were on the test. Proof: 3*15+5*27=180 45+135=180 180=180
 Percentage-and-ratio-word-problems/238716: What is the difference, expressed as a percent of the original price, between a 20% discount followed by a 30% discount, and a straight 50% discount?1 solutions Answer 175416 by checkley77(12569)   on 2009-11-14 09:09:07 (Show Source): You can put this solution on YOUR website!(1-.2)x=.8x (1-.3).8x=.7*.8x=.56x (1-.5)x=.5x The difference is the 50% discount is 50% off. The 20% + 30% off=only(1-.56)=44% off.
 Systems-of-equations/238723: 2x+3=5y 2x+y=71 solutions Answer 175415 by checkley77(12569)   on 2009-11-14 09:03:02 (Show Source): You can put this solution on YOUR website!2x-5y=-3 -(2x+y=7) subtract --------------- -6y=-10 y=-10/-6 y=5/3 ans 2x-5*5/3=-3 2x-25/3=-3 2x=25/3-3 2x=25/3-9/3 2x=16/3 x=(16/3)/2 x=(16/3*1/2 x=16/6 x=8/3 anw. Proof: 2*8/3+5/3=7 16/3+5/3=7 21/3=7 7=7
 Complex_Numbers/238734: how do you find the square root of 25/3 using complex numbers?1 solutions Answer 175410 by checkley77(12569)   on 2009-11-14 08:40:50 (Show Source): You can put this solution on YOUR website!sqrt25/3=5sqrt(1/3)=5(1/1.732)=5/1.732=2.8868 ans.
 Equations/238574: The perimeter of a rectangle is 108m. The length is 3m more than twice the width. find the dimensions. What is the length in meters and what is the width in meters? 1 solutions Answer 175396 by checkley77(12569)   on 2009-11-13 22:50:00 (Show Source): You can put this solution on YOUR website!L=2W+3 2L+2W=108 2(2W+3)+2W=108 4W+6+2W=108 6W=108-6 6W=102W=102/6 W=17 M IS THE WIDTH. L=2*17+3=34+3=37 M IS THE LENGTH. PROOF: 2*37=2*17=108 74+34=108 108=108
 Polynomials-and-rational-expressions/238595: A teacher invested 10,000 in a bond fund that should have an average annual return of 6% per year for the next 20 years. What will be the amount of the investment in 20 years?1 solutions Answer 175395 by checkley77(12569)   on 2009-11-13 22:46:38 (Show Source): You can put this solution on YOUR website!10,000(1+.06)^20 10,000*1.06^20 10,000*3.207135=\$32,071.35 ans.
 Graphs/238641: Plot the line with the given slope that goes through the given point. through (3, 8) with m = 41 solutions Answer 175394 by checkley77(12569)   on 2009-11-13 22:43:22 (Show Source): You can put this solution on YOUR website!Y=mX+b 8=4*3+b 8=12+b b=8-12 b=-4 Y=4X-4 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -4).
 Graphs/238642: Plot the line with the given slope that goes through the given point. (0, 6); m = -2 over 31 solutions Answer 175393 by checkley77(12569)   on 2009-11-13 22:39:53 (Show Source): You can put this solution on YOUR website!Y=mX+b 6=-2x/3+b 6=b y=-2x/3+6 ans. (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -2x/3 +6).
 Miscellaneous_Word_Problems/238668: A custom blend of bird seed is to be mixed from seed mixtures costing \$0.75 per pound and \$1.25 per pound. How many pounds of each seed mixture are used to make 200 pounds of custom-blend bird seed costing \$0.95 per pound?1 solutions Answer 175392 by checkley77(12569)   on 2009-11-13 22:34:26 (Show Source): You can put this solution on YOUR website!1.25x+.75(200-x)=.95*200 1.25x+150-.75x=190 .50x=190-150 .50x=40 x=40/.50 x=80 pounds of \$1.25 seed is used. 200-80=120 pounds of \$.75 seed is used. Proof: 1.25*80+.75*120=.95*200 100+90=190 190=190
 Permutations/238688: How many ways can 1 apple, 1 orange, and 1 peach be selected from 5 apples, 9 oranges, and 4 peaches?1 solutions Answer 175390 by checkley77(12569)   on 2009-11-13 22:29:36 (Show Source): You can put this solution on YOUR website!5*9*4=180 different ways of selecting one of each item.
 Equations/238689: I am trying to figure out how to elimination problems.... Not having much luck....can someone help me, point me in the right direction? 6x+2y-4=0 and 10x+7y=-81 solutions Answer 175389 by checkley77(12569)   on 2009-11-13 22:27:12 (Show Source): You can put this solution on YOUR website!6x+2y-4=0 6x+2y=4 multiply this equation by -7 10x+7y=-8 multiply this equation by 2 & add. -42x-14y=-28 20x+14y=-16 --------------- -22x=-44 x=-44/-22 x=2 ans. 6*2+2y-4=0 12+2y-4=0 2y=4-12 2y=-8 y=-4 ans. Proof: 10*2+7*-4=-8 20-28=-8 -8=-8
 Equations/238392: help with 3y is less than or equal to 2y+41 solutions Answer 175259 by checkley77(12569)   on 2009-11-13 10:46:32 (Show Source): You can put this solution on YOUR website! 3y<= 2y+4 3Y-2Y<=4 Y<=4 ANS. PROOF: 3*4<=2*4+4 12<=8+4 12<=12
 Inequalities/238396: how do solve and graph -40 < -5r1 solutions Answer 175257 by checkley77(12569)   on 2009-11-13 10:43:41 (Show Source): You can put this solution on YOUR website! -40 < -5r -40/-5>R (NOTE: HE < SIGN CHANGES TO A > SIGN WHEN DIVIDING BY A NEGATIVE VALUE). 8>R PROOF: LET R=7.9 -40<-5*7.9 -40<-39.5
 Money_Word_Problems/238414: A candy storesells boxes of candy containing caramels and crèmes. Each box sells for \$12.50 & holds 30 pieces of candy (all pieces are same size). If caramels cost \$0.25 to produce & crèmes cost \$0.45 to produce, how many of each should be in a box to make a profit of \$3?1 solutions Answer 175254 by checkley77(12569)   on 2009-11-13 10:40:13 (Show Source): You can put this solution on YOUR website!.45X+.25(30-X)=12.50-3.00 .45X+7.5-.25X=9.50 .20X=9.50-7.50 .20X=2 X=2/.2 X=10 CREMES ARE USED. 30-10=20 CARAMELS ARE USED. .45*10+.25*20=9.50 4.50+5=9.50 9.50=9.50
 Equations/238398: 84=3/4x+30 find x.1 solutions Answer 175249 by checkley77(12569)   on 2009-11-13 10:31:55 (Show Source): You can put this solution on YOUR website!84=3/4x+30 84=3X/4+30 3X.4=84-30 3X/4=54 3X=54*4 3X=216 X=216/3 X=72 ANS. PROOF: 84=3*72/4+30 84=216/4+30 84=54+30 84=84