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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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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=8 1 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^5y 1 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/x 1 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/t 1 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-3 1 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 line 1 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=-29 1 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 m 1 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=1 1 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-3 1 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=1 1 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 92.70-123.20 1 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^2-16 1 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 you 1 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=4 1 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 = 5 1 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 width 1 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