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# Recent problems solved by 'checkley77'

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 Rectangles/278518: I am just learning about these math equations and I am stumped. Could you please help me? I'm not sure what formula I should use to figure this out. if the perimeter of a rectangular pool is 60 meters and the length is 4 meters more than the width, how wide is the pool? Thank you so much for your time.1 solutions Answer 202677 by checkley77(12569)   on 2010-03-08 16:54:52 (Show Source): You can put this solution on YOUR website!2L+2W=PERIMETER. L=W+4 2(W+4)+2W=60 2W+8+2W=60 4W=60-8 4W=52 W=52/4 W=13 M. ANS FOR THE WIDTH. L=13+4=17 M. ANS. FOR THE LENGTH. PROOF: 2*17+2*13=60 34+26=60 60=60
 Word_Problems_With_Coins/278527: Emily has \$126 in her checking account. She writes a check for \$113, makes a deposite of \$50, and then writes another check for \$100. What is the balance of her account, written as an integer?1 solutions Answer 202673 by checkley77(12569)   on 2010-03-08 16:51:13 (Show Source): You can put this solution on YOUR website!126-113+50-100=-\$37 IS THE OVERDRAFT.
 Numbers_Word_Problems/278528: The sum of two numbers is 36 and the difference is 6 . What are the numbers? 1 solutions Answer 202671 by checkley77(12569)   on 2010-03-08 16:46:56 (Show Source): You can put this solution on YOUR website!X+Y=36 X-Y=6 ADD. --------------- 2X=42 X=42/2 X=21 ANS. 21+Y=36 Y=36-21 Y=15 ANS. PROOF: 21-15=6 6=6
 Numbers_Word_Problems/278530: The sum of two numbers is 56 . The smaller number is 16 less than the larger number. What are the numbers? 1 solutions Answer 202669 by checkley77(12569)   on 2010-03-08 16:44:10 (Show Source): You can put this solution on YOUR website!X+Y=56 X=Y-16 (Y-16)+Y=56 2Y=56+16 2Y=72 Y=72/2 Y=36 ANS. X+36=56 X=56-36 X=20 ANS.
 Exponents/278110: how to solve this exponent equation? (-11m4)(-6m3p3)1 solutions Answer 202457 by checkley77(12569)   on 2010-03-07 18:50:29 (Show Source): You can put this solution on YOUR website!(-11m4) (-6m3p3) ------------- 66m^7p^3 ans.
 Numbers_Word_Problems/278114: One number is four more than a second number. Three times the first is less than 5 times the second. Find the numbers.1 solutions Answer 202456 by checkley77(12569)   on 2010-03-07 18:47:25 (Show Source): You can put this solution on YOUR website!x=y+4 3x<5y 3(y+4)<5y 3y+12<5y 3y-5y<-12 -2y<-12 y>-12/-2 [ note the sign change when dividing by a negative value. y>6 ans. x=6+4 x=10 Proof: Let y=6.1 3*10<5*6.1 30<30.5
 Graphs/278115: graph 6y+2x=81 solutions Answer 202454 by checkley77(12569)   on 2010-03-07 18:43:05 (Show Source): You can put this solution on YOUR website!6y+2x=8 6y=-2x+8 y=-2x/6+8/6 y=-x/3+4/3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x/3 +4/3).
 Radicals/278118: I need to simplify this radical I don't have the key on my computer 4a^9b^7C^8 would I do something like this a=4/2 b=7/2 c= 8/2 ?1 solutions Answer 202452 by checkley77(12569)   on 2010-03-07 18:39:51 (Show Source): You can put this solution on YOUR website!4asqrt(9)bsqrt(7)csqrt(8) Is this what you mean? 4a*3bsqrt(7)*2csqrt(2) 24a*bsqrt(7)csqrt(2) ans.
 Radicals/278120: I need so simplify this radical and don't have the key on my computer (xy)(6 radical sign x^5y1 solutions Answer 202447 by checkley77(12569)   on 2010-03-07 18:30:12 (Show Source): You can put this solution on YOUR website!(xy)(6 sqrtx^5y) (xy)(6x^2sqrtxy) (6x^3y)sqrt(xy) ans.
 Polynomials-and-rational-expressions/278123: CAN ANYONE HELP ME TO SOLVE THE FOLLOWING PROBLEM? 1/2 + 2/x = 1/3 + 3/x1 solutions Answer 202442 by checkley77(12569)   on 2010-03-07 18:27:06 (Show Source): You can put this solution on YOUR website!1/2 + 2/x = 1/3 + 3/x Combine the x terms on the left side & the other terms on the right side. 2/x-3/x=1/3-1/2 Find a common denominator for each side & combine the terms. (2-3)/x=(2-3)/3*2 -1/x=-1/6 Cross multiply. -x=-6 x=6 ans. Proof: 1/2+2/6=1/3+3/6 1/2+1/3=1/3+1/2 (3+2)/6=(3+2)/6 6/6=6/6 1=1
 Polynomials-and-rational-expressions/278125: Can anyone explain ow to solve the following? 1/4 + 1/5 + 1/t1 solutions Answer 202437 by checkley77(12569)   on 2010-03-07 18:22:29 (Show Source): You can put this solution on YOUR website!1/4 + 1/5 + 1/t Find the common denominator & add. (5t+4t+4*5)/4*5*t (9t+20)/20t ans.
 Polynomials-and-rational-expressions/278129: Can anyone help with this problem? 2x/x-1 = 5/x-31 solutions Answer 202435 by checkley77(12569)   on 2010-03-07 18:18:36 (Show Source): You can put this solution on YOUR website!2x/(x-1)=5/(x-3) cross multiply. 2x(x-3)=5(x-1) 2x^2-6x=5x-5 2x^2-6x-5x+5=0 2x^2-11x+5=0 (2x-1)(x-5)=0 2x-1=0 2x=1 x=1/2 ans. x-5=0 x=5 ans.
 Money_Word_Problems/278143: Would you rather have a saving account that pays 5% interest compound semiannually or one that pays 5% interest compound daily? Explain.1 solutions Answer 202429 by checkley77(12569)   on 2010-03-07 18:12:48 (Show Source): You can put this solution on YOUR website!Daily compounding pe^rt 100*2.7182^.05*1 100*1.05127=\$105.13 amount of this investment after 1 year. Semiannual compounding p(1+r/2)^2t 100(1+.05/2)^2*1 100^1.025^2 100*1.0506=\$105.06 amount of this investment after 1 year. Therefore the daily compounding makes an extra \$.07 0n \$100 dollars per year.
 Number-Line/278162: locate 7/6 on a number line1 solutions Answer 202425 by checkley77(12569)   on 2010-03-07 18:02:56 (Show Source): You can put this solution on YOUR website!0-----1/6-----2/6-----3/6-----4/6-----5/6-----6/6-----7/6-----8/6 --------------1/3-------------2/3--------------1--------------1 1/3
 Geometry_Word_Problems/278163: A triangular piece of glass is being cut so that the height of the triangle is 4 inches shorter than twice the base. If the area of the triangle is 80 square inches, how long is the height of the triangle?1 solutions Answer 202423 by checkley77(12569)   on 2010-03-07 17:59:10 (Show Source): You can put this solution on YOUR website!Area=bh/2 80=b(2b-4)/2 80=(2b^2-4b)/2 cross multiply 2b^2-4b=2*80 2b^2-4b=160 2b^2-4b-160=0 2(b^2-2b-80)=0 2(b-10)(b+8)=0 b-10=0 b=10 in. h=2*10-4 h=20-4 h=16 in. Proof: 80=10(2*10-4)/2 80=10(20-4)/2 80=10*16/2 80=160/2 80=80
 Evaluation_Word_Problems/278164: The sum of two numbers is 73. When the smaller number is subtracted from twice the greater number, the result is 50. Find the numbers.1 solutions Answer 202418 by checkley77(12569)   on 2010-03-07 17:53:22 (Show Source): You can put this solution on YOUR website!x+y=73 2x-y=50 add. ------------ 3x=123 x=123/3 x=41 ans. 41+y=73 y=73-41 y=32 ans. Proof: 2*41-32=50 82-32=50 50=50
 Polynomials-and-rational-expressions/278165: Find the larger solution of:x²+2x-48=0 1 solutions Answer 202417 by checkley77(12569)   on 2010-03-07 17:50:01 (Show Source): You can put this solution on YOUR website!x²+2x-48=0 (x+8)(x-6)=0 x+8=0 x=-8 the smaller ans. x-6=0 x=6 the larger ans.
 Graphs/278167: find the slope of a line perpendicular to the graph of this equations y=2x y=-x/5-7 y=-8 1 solutions Answer 202416 by checkley77(12569)   on 2010-03-07 17:47:30 (Show Source): You can put this solution on YOUR website!y=2x Perpendicular line slope=-1/2 y=-x/5-7 Perpendicular line slope=5 y=-8 Perpendicular line slope=undefined (a verticle line).
 Proportions/278168: if Paul can paint a fence in 2 hours and Fred can paint a the same fence in 3 hours.How long would it take for Fred and Paul to paint the fence together.1 solutions Answer 202414 by checkley77(12569)   on 2010-03-07 17:44:19 (Show Source): You can put this solution on YOUR website!1/2+1/3=1/x (3+2)/2*3=1/x 5/6=1/x cross multiply 5x=6 x=6/5 hours ans. or 1.2 hours.
 Graphs/278157: solve the sytem of equations by graphing then classify the sytem 6x-y=11 and 6x+7y=-291 solutions Answer 202412 by checkley77(12569)   on 2010-03-07 17:41:52 (Show Source): You can put this solution on YOUR website!6x-y=11 -y=-6x+11 y=6x-11 (red line) 6x+7y=-29 7y=-6x-29 y=-6x/7-29/7 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 15, of TWO functions -6x +11 and -6x/7 -29/7). Intercept=(53/18,20/3) or (2.9444,6.666) These two lines are INTERSECTING LINES.
 Surface-area/278149: right triangle prism with a base area of 30m2 and a height of 12 m1 solutions Answer 202403 by checkley77(12569)   on 2010-03-07 17:14:52 (Show Source): You can put this solution on YOUR website!IF you're looking for the area then: A=bh A=30*12 A=360 m^3 ans.
 Systems-of-equations/278151: solve using the linear equation using elimination 3x-2y=3 -x+y=11 solutions Answer 202398 by checkley77(12569)   on 2010-03-07 17:05:53 (Show Source): You can put this solution on YOUR website!3x-2y=3 -x+y=1 multiply this equation by 2 & add. -2x+2y=2 3x-2y=3 ------------- x=5 ans. -5+y=1 y=1+5 y=6 ans. Proof: 3*5-2*6=3 15-12=3 3=3
 Distributive-associative-commutative-properties/278154: How do you rewrite the expression 3n+7 using the commutative property?1 solutions Answer 202397 by checkley77(12569)   on 2010-03-07 17:03:02 (Show Source): You can put this solution on YOUR website!3n+7=7+3n ans.
 Graphs/278153: write an equation of the line that passesw through the given point and is parallel to the given line (4,7), y=5x-31 solutions Answer 202396 by checkley77(12569)   on 2010-03-07 16:58:51 (Show Source): You can put this solution on YOUR website!(4,7), y=5x-3 Y=mX+b is the line equation A parallel line will have the same slope (5) 7=5*4+b 7=20+b b=7-20 b=-13 ans. for the Y intercept. Y=5X-13 ans. (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, 5x -13).
 Systems-of-equations/278150: solve using the linear equation using elimination 3x-2y=3 -x+y=11 solutions Answer 202395 by checkley77(12569)   on 2010-03-07 16:54:36 (Show Source): You can put this solution on YOUR website!3x-2y=3 -x+y=1 multiply this equation by 2 & add. -2x+2y=2 3x-2y=3 ----------- x=5 ans. 3*5-2y=3 15-2y=3 -2y=3-15 -3y=-12 y=-12/-3 y=4 ans. Proof: -5+4=1 1=1
 Inequalities/278148: A cellular phone company offers a contract for which the cost c is in dollars, of t minutes of telephoning is c=0.25 (t-500) + 47.95 where t>=500 what time will keep cost between 92.70-123.201 solutions Answer 202394 by checkley77(12569)   on 2010-03-07 16:52:10 (Show Source): You can put this solution on YOUR website!c=0.25(t-500)+47.95 92.70<.25(t-500)+47.95<123.20 92.70<.25t-125+47.95<123.20 92.70<.25t-77.05<123.20 92.70+77.05<.25t<123.20+77.05 169.75<.25t<200.25 169.75/.25 679 %92.70 & \$123.95.] 679-500=179 minutes is the minimum min. over the 500. 801-500=301 minutes is the max min. over the 500.
 Polynomials-and-rational-expressions/278135: Can someone please help with this problem? x/x-4 - 4/x+4 = 32/x^2-161 solutions Answer 202392 by checkley77(12569)   on 2010-03-07 16:44:47 (Show Source): You can put this solution on YOUR website!x/x-4-4/x+4=32/x^2-16 IF you mean x/(x-4)-4/(x+4)=32/(x^2-16) then: [x(x+4)-4(x-4)]/(x-4)(x+4)=32/(x+4)(x-4) cancel out the denominators [x^2+4x-4x+16]=32 x^2=32-16 x^2=16 x=sqrt16 x=+-4 Proof: is not possible because of dividing by zero.
 Linear-equations/278137: find the slope (-1,-2) (3,-25) thank you1 solutions Answer 202389 by checkley77(12569)   on 2010-03-07 16:25:45 (Show Source): You can put this solution on YOUR website!(-1,-2) (3,-25) Slope=(y2-y1)/(x2-x1) Slope=(-25+2)/(3-1) Slope=-23/2 ans.
 Numeric_Fractions/278136: -c/5+9=41 solutions Answer 202388 by checkley77(12569)   on 2010-03-07 16:24:11 (Show Source): You can put this solution on YOUR website!-c/5+9=4 -c/5=4-9 -c/5=-5 cross multiply. -c=-5*5 -c=-25 c=25 ans.
 Polynomials-and-rational-expressions/278127: Can anyone help solve the following problem? x + 6/x = 51 solutions Answer 202386 by checkley77(12569)   on 2010-03-07 16:22:18 (Show Source): You can put this solution on YOUR website!x+6/x=5 combine the left side terms. (x*x+6)/x=5 (x^2+6)/x=5 cross multiply. x^2+6=5x x^2-5x+6=0 factor the equation. (x-3)(x-2)=0 x-3=0 x=3 ans. x-2=0 x=2 ans.
 Rectangles/277730: Solve the problem. Find the length of a rectangular lot with a perimeter of 72 m if the length is 8 m more than the width1 solutions Answer 202268 by checkley77(12569)   on 2010-03-06 18:48:37 (Show Source): You can put this solution on YOUR website!L=W+8 2L+2W=72 2(W+8)+2W=72 2W+16+2W=72 4W=72-16 4W=56 W=56/4 W=14 ANS. FOR THE WIDTH. L=14+8=22 ANS. FOR THE LENGTH. PROOF: 2*22+2*14=72 44+28=72 72=72