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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Rectangles/291301: how do i solve this (the area of a square lawn is 196 yds2. what is the perimeter of the lawn?)1 solutions Answer 210672 by checkley77(12569)   on 2010-04-12 17:20:35 (Show Source): You can put this solution on YOUR website!A square has 4 equal sides. Area=s^2 196=s^2 s=sqrt196 s=14 yds. ans. for the sides. Perimeter=4s p=4*14=56 yds. ans. for the perimeter.
 Graphs/291288: not sure how to find the equation of the line that contains the points(0,3)and(2,5)1 solutions Answer 210670 by checkley77(12569)   on 2010-04-12 17:01:36 (Show Source): You can put this solution on YOUR website!(0,3)and(2,5) Y=mX+b is the line equation where m]the slope & b=the Y intercept. m=(y2-y1)/(x2-x1) m=(5-3)/(2-0) m=2/2=1 is the slope. 3=1*0+b b=3 is the Y intercept. Y=X+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x +3).
 Polynomials-and-rational-expressions/291286: 6x2+7x-491 solutions Answer 210668 by checkley77(12569)   on 2010-04-12 16:57:02 (Show Source): You can put this solution on YOUR website!6x^2+7x-49 (3x-7)(2x+7) ans.
 expressions/291282: Find a value of n to make each sentence true n x 85 is between 175 and 250. Helping son with math homework and not sure how this is done. Thanks1 solutions Answer 210667 by checkley77(12569)   on 2010-04-12 16:55:32 (Show Source): You can put this solution on YOUR website!175<85n<250 divide all values by 85 175/85 2.06
 Numeric_Fractions/291280: 2 over 400 times .35 Thanks alot!!1 solutions Answer 210666 by checkley77(12569)   on 2010-04-12 16:51:33 (Show Source): You can put this solution on YOUR website!2/100*.35=.70/100=.007 ans.
 Average/291246: if my test average is and 82% and my quiz average is a 68%.....tests count for 60% of my grade and quizzes count for 20%...what would my grade be?1 solutions Answer 210664 by checkley77(12569)   on 2010-04-12 16:46:47 (Show Source): You can put this solution on YOUR website!.60*82+.20*60 49.2+12=61.2 is the weighted average of the test scores & the quiz scores.
 Geometry_Word_Problems/291247: A rectangular garden is 14 ft. by 21 ft. and is bordered by a concrete walk 3 ft. wide as shown. How many square feet are in the surface area of just the concrete walk? 1 solutions Answer 210663 by checkley77(12569)   on 2010-04-12 16:44:37 (Show Source): You can put this solution on YOUR website!(14+2*3)(21+2*3)-14*21 (14+6)(21+6)-294 20*27-294 540-294=246 ft^2 is the area of the border.
 Miscellaneous_Word_Problems/291248: A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by -684 feet, 17 feet, -236 feet, -440 feet, and 286 feet. At what elevation does the race end?1 solutions Answer 210662 by checkley77(12569)   on 2010-04-12 16:40:11 (Show Source): You can put this solution on YOUR website!870-684+17-236-440+286=-187 ft.
 Miscellaneous_Word_Problems/291250: A triangular lake-front lot has a perimeter of 1900 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.1 solutions Answer 210658 by checkley77(12569)   on 2010-04-12 16:34:44 (Show Source): You can put this solution on YOUR website!200+x+500+x+x=1,900 3x=1,900-200-500 3x=1,200 x=1.200/3 x=400 ft. for the shortest side. 400+200=600 for the second side. 400+500=900 ft. for the third side. Proof: 400+600+900=1,900 1,900=1,900
 Surface-area/291251: The length of an edge of a cube is 5ft What is the total volume of two cubes of the same size?1 solutions Answer 210656 by checkley77(12569)   on 2010-04-12 16:31:20 (Show Source): You can put this solution on YOUR website!2(5)^3=2*125=250 ft^3.
 Miscellaneous_Word_Problems/291252: The difference between two positive integers is 36. One integer is three times as great as the other. Find the integers1 solutions Answer 210654 by checkley77(12569)   on 2010-04-12 16:29:02 (Show Source): You can put this solution on YOUR website!x-y=36 x=3y 3y-y=36 2y=36 y=36/2 y=18 ans. for the smaller integer. x=3*18 x=54 Proof: 54-18=36 36=36
 Word_Problems_With_Coins/291261: What are some ways to get 50 cents using dimes, nickels, quarters and, pennies? Thanks!1 solutions Answer 210652 by checkley77(12569)   on 2010-04-12 16:24:52 (Show Source): You can put this solution on YOUR website!50 pennies 10 nickles 5 dimes 2 quarters 1q+2d+1n 1q+2n+15p 3d+2n+10p 4d+1n+5p 7n+15p 9n+5p
 Matrices-and-determiminant/291262: Write the row operations that were performed to produce resulting matrices. x-y=2 y-z=5 x+z=-1 I have to show my work but i don't have any idea how to do this1 solutions Answer 210650 by checkley77(12569)   on 2010-04-12 16:20:46 (Show Source): You can put this solution on YOUR website!x-y=2 y-z=5 x+z=-1 ---------------- x-y-z ------- 1-1..=2 ..1-1=5 1...1=-1
 Linear-equations/291258: Y=5x 1 solutions Answer 210649 by checkley77(12569)   on 2010-04-12 16:15:58 (Show Source): You can put this solution on YOUR website!Y=5X (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x).
 Linear-equations/291188: The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers? 1 solutions Answer 210648 by checkley77(12569)   on 2010-04-12 16:13:00 (Show Source): You can put this solution on YOUR website!SECOND=FIRST-4 THIRD=4FIRST. FIRST=THIRD/4 OR SECOND+4 F+S+T=62 F+F-4+4F=62 6F=62+4 6F=66 F=66/6 F=11 ANS. FOR THE FIRST NUMBER. SECOND=11-4=7 ANS. FOR THE SECOND NUMBER. THIRD=4*11=44 ANS. FOR THE THIRD NUMBER. PROOF: 11+7+44=62 62=62
 Rate-of-work-word-problems/291190: Solve for y: x=(4y+6)/31 solutions Answer 210646 by checkley77(12569)   on 2010-04-12 16:05:14 (Show Source): You can put this solution on YOUR website!x=(4y+6)/3 CROSS MULTIPLY. 4Y+6=3X 4Y=3X-6 Y=(3X-6)/4 Y=3(X-2)/4 ANS.
 Surface-area/291202: find the area of a circle with a radius of 14in. use 22/7 for 3.141 solutions Answer 210645 by checkley77(12569)   on 2010-04-12 16:00:44 (Show Source): You can put this solution on YOUR website!A=PIR^2 A=(22/7)14^2 A=(22/7)196 A=22*28 A=616 in. IS THE AREA.
 Expressions-with-variables/291208: Pauline sells cookie baskets. She charges \$5 for the basket plus \$2 per cookie. If one filled basket sells for \$31, how many cookies are in it?1 solutions Answer 210641 by checkley77(12569)   on 2010-04-12 15:55:21 (Show Source): You can put this solution on YOUR website!5+2X=31 2X=31-5 2X=26 X=26/2 X=13 COOKIES IN THE BASKET.
 Pythagorean-theorem/291209: a=7m b=? c=25m1 solutions Answer 210639 by checkley77(12569)   on 2010-04-12 15:53:21 (Show Source): You can put this solution on YOUR website!7^2+B^2=25^2 49+B^2=625 B^2=525-49 B^2=476 B=SQRT476 B=21.8 m. ANS.
 Linear_Equations_And_Systems_Word_Problems/291210: The sum of two numbers is 16. The difference of two numbers is 6. Let X respresent the larger number and Y respresent the smaller number. Help me Set up Linear system. Please1 solutions Answer 210637 by checkley77(12569)   on 2010-04-12 15:49:47 (Show Source): You can put this solution on YOUR website!X+Y=16 X-Y=6 ADD. ---------- 2X=22 X=22/2 X=11 ANS. 11+Y=16 Y=16-11 Y=5 ANS. PROOF: 11-5=6 6=6
 Expressions-with-variables/291211: During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many of each did she sell.1 solutions Answer 210634 by checkley77(12569)   on 2010-04-12 15:47:30 (Show Source): You can put this solution on YOUR website!X+(X+27)=69 2X=69-27 2X=42 X=42/2 X=21 TRUCKS SOLD. 21+27=48 CARS SOLD. PROOF: 21+48=69 69=69
 Equations/291212: The square of an integer is 97 less than the square of a consecutive integer. Find the two integers.1 solutions Answer 210631 by checkley77(12569)   on 2010-04-12 15:42:52 (Show Source): You can put this solution on YOUR website!(X+1)^2-X^2=97 X^2+2X+1-X^2=97 2X=97-1 2X=96 X=48 ANS. FOR THE SMALLER INTEGER. 48=1=49 ANS. FOR THE LARGER INTEGER. PROOF: 49^2-48^2=97 2,401-2304=97
 test/291214: Mary published her first book. She was given \$10,000.00 and an additional \$0.10 for each copy of the book that sold. Her earnings,d, in dollars, from the publication of her book are given by d=10,000+0.1n where n is the number of copies sold. During the first year Mary earned \$35,000.00 from the publication and sale of her book sold in the first year? 1 solutions Answer 210628 by checkley77(12569)   on 2010-04-12 15:17:15 (Show Source): You can put this solution on YOUR website!35,000=10,000+.1N .1N=35,000-10,000 .1N=25,000 N=25,000/.1 N=250,000 BOOKS WERE SOLD.
 Rational-functions/291216: What is the value of the rational expression below when x is equal to 3? 12-x/x-61 solutions Answer 210627 by checkley77(12569)   on 2010-04-12 15:13:08 (Show Source): You can put this solution on YOUR website!(12-x)/(x-6) (12-3)/(3-6) 9/-3=-3 ans.
 Percentage-and-ratio-word-problems/290856: An investment of \$1500 paid interest of \$45 during a certain period.How much interest would an investment of \$2000 invested at the same rate for the same length of time pay? Also how would I check this? please explain. Thanks in advance =)1 solutions Answer 210483 by checkley77(12569)   on 2010-04-11 18:39:45 (Show Source): You can put this solution on YOUR website!SET UP A RATIO OF THE 2 INVESTMENTS & INTERESTS: 45/1,500=X/2,000 CROSS MULTIPLY 1,500X=45*2,000 1,500X=90,000 X=90,000/1,500 X=\$60 WOULD BE THE INTEREST ON THE \$2,000 INVESTMENT. PROOF: 45/1,500=60/2,000 90,000=90,000
 Surface-area/290863: A rectangular piece of tin measures 36in by 25in.a square measuring 4in by 4in is cut out of each corner and the sides are folded to form a box. what is the volume of the box?1 solutions Answer 210482 by checkley77(12569)   on 2010-04-11 18:34:59 (Show Source): You can put this solution on YOUR website!(25-2*4)(36-2*4)*4 (25-8)(36-8)*4 17*28*4=1,904^3 INCHES IS THE VOLUME.
 Mixture_Word_Problems/290872: a 20% ammonia solution and a 5% ammonia solution are to be mixed to obtain 50 gallons of an 8% solution. how much of each should be used fill out a tabel1 solutions Answer 210481 by checkley77(12569)   on 2010-04-11 18:29:39 (Show Source): You can put this solution on YOUR website!.20X+.05(50-X)=.08*50 .20X+2.5-.05X=4 .15X=4-2.5 ,15X=1.5 X=1.5/.15 X=10 GAL. OF 20% SOLUTION IS NEEDED. 50-10=40 GAL. OF 5% SOLUTION IS NEEDED. PROOF: .20*10+.05*40=.08*50 2+2=4 4=4
 Polynomials-and-rational-expressions/290874: Solve: 8/x=9/x-1/111 solutions Answer 210480 by checkley77(12569)   on 2010-04-11 18:25:40 (Show Source): You can put this solution on YOUR website!8/x=9/x-1/11 8/X-9/X=-1/11 -1/X=-1/11 CROSS MULTIPLY. -X=-11 X=11 ANS. PROOF: 8/11=9/11-1/11 8/11=8/11
 Travel_Word_Problems/290878: i drove 240 miles in 4.8 hours at that rate how long would it take to drive 100 miles?1 solutions Answer 210479 by checkley77(12569)   on 2010-04-11 18:23:18 (Show Source): You can put this solution on YOUR website!240/4.8=100/X CROSS MULTIPLY. 240X=100*4.8 240X=480 X=480/240 X=2 HOURS.
 Travel_Word_Problems/290879: i drove 240 miles in 4.8. hours at that rate how long would it take to drive 100 miles?1 solutions Answer 210477 by checkley77(12569)   on 2010-04-11 18:22:22 (Show Source): You can put this solution on YOUR website!240/4.8=100/X CROSS MULTIPLY. 240X=100*4.8 240X=480 X=480/240 X=2 HOURS.
 Probability-and-statistics/290880: In a box, there are five balls. Three are red and two are white. Three balls are drawn without replacement. Find the probability of drawing a white ball followed by two red balls.1 solutions Answer 210475 by checkley77(12569)   on 2010-04-11 18:19:23 (Show Source): You can put this solution on YOUR website!2/5*3/4*2/3=12/60=1/5 OR ,20 IS THE PROBABILITY OF DRAWINFG A WHITE FOLLOWED BY 2 REDS.