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# Recent problems solved by 'checkley77'

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 Inequalities/323040: if 20 is added to 1/3 of a number the result is 2 times the number. what is the number?1 solutions Answer 231274 by checkley77(12569)   on 2010-07-16 20:54:20 (Show Source): You can put this solution on YOUR website!20+X/3=2X 2X-X/3=20 (2X*3-X)/3=20 (6X-X)/3=20 5X/3=20 5X=60 X=60/5 X=12 ANS. PROOF: 20+12/3=2*12 20+4=24 24=24
 Rectangles/323042: Find the dimensions of a rectangle with a perimeter of 34 cm if the length is 4 cm less than two times the width1 solutions Answer 231272 by checkley77(12569)   on 2010-07-16 20:46:53 (Show Source): You can put this solution on YOUR website!P=2L+2W L=2W-4 34=2(2W-4)+2W 34=4W-8+2W 34=6W-8 6W=34+8 6W=42 W=42/6 W=7 cm. for the width L=2*7-4 L=14-4 L=10 cm. for the length. PROOF: 34=2*10+2*7 34=20+14 34=34
 Travel_Word_Problems/323045: Two motorcycles travel toward each other from cities that are about 425km apart at rates of 100km/hr and 70km/hr. They started at the same time. In how many hours will they meet? In how many hours will they meet?________1 solutions Answer 231270 by checkley77(12569)   on 2010-07-16 20:41:58 (Show Source): You can put this solution on YOUR website!d=rt 425=(100+75)t 425=175t t=425/175 t=2.43 hours they will meet.
 Numbers_Word_Problems/323055: the sum of two numbers is thirteen,and the sum of their squares is 89.find the two numbers1 solutions Answer 231269 by checkley77(12569)   on 2010-07-16 20:38:33 (Show Source): You can put this solution on YOUR website!X+Y=13 OR X=13-Y X^2+Y^2=89 (13-Y)^2+Y^2=89 169-26Y+Y^2+Y^2=89 2Y^2-26Y+169-89=0 2Y^2-26+80=0 2(Y^2-13Y+40)=0 2(Y-5)(Y-8)=0 Y-5=0 Y=5 ANS. X=13-5 X=8 ANS. Y-8=0 Y=8 ANS. X=13-8 X=5 ANS. POOF: 5^3+8^289 25+64=89 89=89
 Quadratic_Equations/322787: The height of a triangle is 2 m more than the base. The area of the triangle is 17.5m^2. Find the length of the base and the height of the triangle. 1 solutions Answer 231092 by checkley77(12569)   on 2010-07-15 18:49:05 (Show Source): You can put this solution on YOUR website!H=B+2 A=BH/2 17.5=B*(B+2)/2 17.5=(B^2+2B)/2 B^2+2B=35 B^2+2B-35=0 (B+7)(B-5)=0 B-5=0 B=5 ANS. FOR THE BASE. H=5+2=7 ANS FOR THE BASE PROOF: 17.5=5*7/2 17.5=35/2 17.5=17.5
 Miscellaneous_Word_Problems/322800: A person 6 feet tall casts a 15 foot shadow on a building. How tall is the person who casts a 10 foot shadow on the building?1 solutions Answer 231089 by checkley77(12569)   on 2010-07-15 18:41:41 (Show Source): You can put this solution on YOUR website!6/15=x/10 Assuming the other person is standing the same distance fromm the building: 15x=60 x=60/15 x=4 ans. feet tall.
 Signed-numbers/322694: There are 30 legs in my back yard, but I'm counting dogs & kids. How many kids and dogs in my back yard?1 solutions Answer 231086 by checkley77(12569)   on 2010-07-15 18:35:57 (Show Source): You can put this solution on YOUR website!4d+2k=30 There are multiple combinations possible as shown by the following table 4d-+-2k=30 legs ------------------ 7-----1=28=2=30 6-----3=24+6=30 " 5-----5=20+10=30 " 4-----7=16+14=30 " 3-----9=12+18=30 " 2----11=8+22=30 " 1----13=4+26=30 "
 test/322747: What is the standard form of an equation of the line that passes through the points (-1, 4) and (-7, -5)?1 solutions Answer 231084 by checkley77(12569)   on 2010-07-15 18:20:33 (Show Source): You can put this solution on YOUR website!(-1, 4) and (-7, -5)? Y=-mX+b where m=slope & b=the Y intercept. m=(Y2-Y1)/(X2-X1) m=(-5-4)/(-7+1) m=-9/-6 m=3/2 ans for the slope. 4=3/2*-1+b 4=-3/2+b b=4+3/2 b=8/2+3/2 b=11/2 ans. for the Y intercept. Y=3X/2+11/2 (graph 300x200 pixels, x from -8 to 5, y from -10 to 10, 3x/2 +11/2).
 Probability-and-statistics/322761: i bought a big books the book have 100 pages for \$8 while the smaal book have 25 pages for \$2. I paid \$28 and got total of 650 pages. How many of each did i buy? thankyou 1 solutions Answer 231081 by checkley77(12569)   on 2010-07-15 18:13:18 (Show Source): You can put this solution on YOUR website!100x+25y=650 multiply by 2 8x+2y=28 multiply by -25 & add. 200x+50y=1300 -200x-50y=-700 ------------------ 0x+0y=600 no solution for x & y.
 Expressions-with-variables/322786: Factor Completely. 81t^2 + 4 - 36t = Thank you!!1 solutions Answer 231071 by checkley77(12569)   on 2010-07-15 17:39:07 (Show Source): You can put this solution on YOUR website!81t^2 + 4 - 36t 81T^2-36T+4 (9T-2)^2 ans.
 Quadratic_Equations/322788: The area os a rectangular feild is 2275m^2. The field is enclosed by 200 m of fence. What are the dimensions of the field?1 solutions Answer 231069 by checkley77(12569)   on 2010-07-15 17:36:37 (Show Source): You can put this solution on YOUR website!2X+2Y=200 SUBTRACT 2Y 2X=200-2Y DIVIDE BY 2 X=100-Y XY=2,275 REPLACE X BY (100-Y) (100-Y)Y=2,275 100Y-Y^2-2,275=0 Y^2-100Y+2,275=0 (y-65)(Y-35)=0 Y-65=0 Y=65 ANS. Y-35=0 Y=35 ANS.
 Quadratic_Equations/322791: Solve and simplify with an integer of fraction. 2/z = 7/z - 1/2 Thank you so much!!!1 solutions Answer 231067 by checkley77(12569)   on 2010-07-15 17:26:24 (Show Source): You can put this solution on YOUR website! 2/z = 7/z - 1/2 2/z-7/z=-1/2 (2-7)/z=-1/2 5/z=-1/2 cross multiply. -z=2*5 -z=10 z=-10 ans. Proof: 2/10=7/10+1/2 2/10=7/10-5/10 2/10=2/10
 Finance/322417: An investment earns 2% per year and is worth \$10,000 after 5 years. Find the present value of the investment. (Round your answer to the nearest cent.) 1 solutions Answer 230881 by checkley77(12569)   on 2010-07-14 18:59:19 (Show Source): You can put this solution on YOUR website!10,000(1+.02)^5 10,000(1.02)^5 10,000*1.104=\$11,040.81 ans.
 Polynomials-and-rational-expressions/322423: Subtract the Polynomials. (-6c^2 + 9c + 2) - (6c^2 + 2) Simplify1 solutions Answer 230880 by checkley77(12569)   on 2010-07-14 18:55:04 (Show Source): You can put this solution on YOUR website!-6c^2 + 9c + 2 -(6c^2 + 2) -------------------- 0+9c+4 9c+4 ans.
 Radicals/322433: Find the Following. 18 square root of (-9)^18 Simplify, unless the answer is Not a real number. Thank you1 solutions Answer 230878 by checkley77(12569)   on 2010-07-14 18:46:30 (Show Source): You can put this solution on YOUR website!18 square root of (-9)^18 18*-9^9=-6,973,568,802 ans.
 Exponents/322482: Simplify g7h3 over g2h 1 solutions Answer 230875 by checkley77(12569)   on 2010-07-14 18:29:22 (Show Source): You can put this solution on YOUR website!g^7h^3/g^2h g^(7-2)h^(3-1) g^5h^2 ans.
 Numbers_Word_Problems/322493: The sum of two numbers is 5. when the sum of the squares of the numbers is multiplied by 4 the result is 82. find the numbers. As a required first step, write down a system of two equations in two unknowns whose solution solves the problem.1 solutions Answer 230874 by checkley77(12569)   on 2010-07-14 18:25:32 (Show Source): You can put this solution on YOUR website!X+Y=5 OR X=5-Y 4(X^2+Y^2)=82 4[(5-Y)^2+Y^2]=82 4[25-10Y+Y^2+Y^2)=82 100-40Y+8Y^2=82 8Y^2-40Y+100-82=0 8Y^2-40Y+18=0 (2X-9)(4X-2)=0 2X-9=0 2X=9 X=9/2 X=4.5 ANS. 4X-2=0 4X=2 X=2/4 X=.5 ANS.
 Radicals/322497: cubed root of x+2=21 solutions Answer 230872 by checkley77(12569)   on 2010-07-14 18:09:14 (Show Source): You can put this solution on YOUR website!cubed root of x+2=2 CUBE BOTH SIDES. X+2=2^3 X+2=8 X=8-2 X=6 ANS. PROOF: CUBERT(6X+2)=2 CUBERT(8)=2 2=2
 Graphs/322501: Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 11% protein? How many pounds of cornmeal? How many pounds of soybean? 1 solutions Answer 230871 by checkley77(12569)   on 2010-07-14 18:04:23 (Show Source): You can put this solution on YOUR website!.12X+.06(240-X)=.11*240 .12X+14.4-.06X=26.4 .06X=26.4-14-4 .06X=12 X=12/.06 X=200 POUNDS OR SOYBEANS IS USED. 240-200=40 POUNDS OF CORNMEAL IS USED. PROOF: .12*200+.06*40=.11=240 24+2.4=26.4 26.4=26.4
 Rectangles/322335: A rectangular corral has a perimeter of 64 yards. Its length is 8 yards more than its width. What are the dimensions of the corral?1 solutions Answer 230777 by checkley77(12569)   on 2010-07-14 09:59:43 (Show Source): You can put this solution on YOUR website!L=W+8 P=2L+2W 64=2(W+8)+2W 64=2W+16+2W 4W=64-16 4W=48 W=48/4 W=12 ANS. FOR THE WIDTH. L=12+8=20 ANS. FOR THE LENGTH. PROOF: 64=2*20+2*12 64=40+24 64=64
 Surface-area/322356: What is the approximate total surface area of a cylinder with a diameter of 46 and height of 1421 solutions Answer 230773 by checkley77(12569)   on 2010-07-14 09:54:50 (Show Source): You can put this solution on YOUR website!SA=2B+H*CIRCUMFERANCE. SA=2(PI*R^2)+142(2PI*R) SA=2(3.14*46/2)+142(2*3.14*46/2) SA=2(3.14*23)+142(6.28*23) SA=72.22+142*144.44 SA=72.22+20,510.48 SA=20,582.7 ANS.
 Graphs/322358: What is the equation of the line that passes through (-3, -1) and has a slope of 2/5 ? Put your answer in slope-intercept form. 1 solutions Answer 230768 by checkley77(12569)   on 2010-07-14 09:43:23 (Show Source): You can put this solution on YOUR website!(-3, -1) and has a slope of 2/5 Y=mX+b where m=slope & b=the Y intercept. -1=2/5*-3+b -1=-6/5+b b=-1+6/5 b=-5/5+6/5 b=1/5 ans. Y=2X/5+1/5 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x/5 +1/5).
 Radicals/322355: X=(31 over 6)^3/2 * \$1,000,0001 solutions Answer 230764 by checkley77(12569)   on 2010-07-14 09:37:40 (Show Source): You can put this solution on YOUR website!X=(31 over 6)^3/2 * \$1,000,000 Do you mean [(31/6)^3/2]1,000,000 ? 31/6=5.16667 5.16667^3/2=11.744 11.744*1,000,000=11,744,000
 Miscellaneous_Word_Problems/322049: Aiden put two-fifths of his money into his piggy bank. He had 15 dollars left in his pocket to buy a toy. How much money did Aiden have before he put money in his bank?1 solutions Answer 230631 by checkley77(12569)   on 2010-07-13 18:29:32 (Show Source): You can put this solution on YOUR website!Sorry I used the wrong fraction. He put 2/5 in the bank which left 3/5 for the toy. 3/5x=15 3x/5=15 3x=15*5 3x=75 x=75/3 x=\$25 ans. for the original amount.
 Quadratic_Equations/322054: 9x squared= -5x-6 Use the quadratic formula to solve the equation1 solutions Answer 230630 by checkley77(12569)   on 2010-07-13 18:26:15 (Show Source): You can put this solution on YOUR website!9x^2=-5x-6 9x^2+5x+6=0 x=(-5+-sqrt[5^2-4*9*6])/2*9 x=(-5+-sqrt25-216)/18 x=(5+-sqrt-191)/18 x=(5+-13.82i)/18 x=5/18+-13.82i/18 x=.278+-.768i ans.
 Square-cubic-other-roots/322062: (2 minus the square root of 6)(1 plus the sqare root of 6) 1 solutions Answer 230624 by checkley77(12569)   on 2010-07-13 18:18:40 (Show Source): You can put this solution on YOUR website!(2 minus the square root of 6)(1 plus the sqare root of 6) (2-sqrt6) (1+sqrt6) ------------ 2-sqrt6+2sqrt6-6 -4sqrt6 ans.
 Equations/322064: how do you complete the trinomial sqaure when you are given the problem x^2-4x=8?1 solutions Answer 230623 by checkley77(12569)   on 2010-07-13 18:16:15 (Show Source): You can put this solution on YOUR website!x^2-4x=8 x^2-4x+4=8+4 (x-2)^2=12 x-2=sqrt12 x-2=3.4641 x=3.4641+2 x=5.4641 ans.
 Graphs/322065: how would i simplify T^2+2t^2+4t?1 solutions Answer 230621 by checkley77(12569)   on 2010-07-13 18:12:54 (Show Source): You can put this solution on YOUR website!T^2+2t^2+4t 3t^2+4t t(3t+4) ans.
 real-numbers/322066: Estimate the length of one side of a square floor, if the area is 4700 square feet. Give the whole number that is closest to the amount1 solutions Answer 230620 by checkley77(12569)   on 2010-07-13 18:11:07 (Show Source): You can put this solution on YOUR website!s62=4,700 S=SQRT4,700 S=69 ANS.
 Inequalities/322067: Mr. jones's algebra class has too many students in it. If the class were split exactly in half to form 2 new classes, each class would have no more than 17 students in it. this question is a mathematical sentence, i hope the topic matches i wasn's sure what it was. thanks very much!!1 solutions Answer 230619 by checkley77(12569)   on 2010-07-13 18:09:51 (Show Source): You can put this solution on YOUR website!x/2<=17 x<=2*17 x<=34 ans. for the original size of the class.
 Square-cubic-other-roots/322078: Square root addition Simplify. -square root 20-5 square root 451 solutions Answer 230618 by checkley77(12569)   on 2010-07-13 18:07:02 (Show Source): You can put this solution on YOUR website!-square root 20-5 square root 45 -sqrt(4*5)-5sqrt9*5 -2sqrt5-5*3sqrt5 -2sqrt5-15sqrt5 -17sqrt5 ans.