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# Recent problems solved by 'checkley77'

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 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.
 Expressions-with-variables/290886: Identify the variable and write an equation that describes such situations. Do not solve the equation.-----Gwen sold her car on consignment for x dollars. The saleswoman’s commission was 10% of the selling price and Gwen received \$5701 solutions Answer 210472 by checkley77(12569)   on 2010-04-11 18:16:20 (Show Source): You can put this solution on YOUR website!X WAS THE SELLING PRICE. .10X WAS THE COMMISSION. X-.10X=\$570
 Equations/290888: The sum of three consecutive even numbers is 30. What is the greatest of the three even numbers?1 solutions Answer 210470 by checkley77(12569)   on 2010-04-11 18:13:52 (Show Source): You can put this solution on YOUR website!LET X, X+2 & X+4 BE THE THREE CONSECUTIVE EVEN NUMBERS. X+X+2+X+4=30 3X+6=30 3X=30-6 3X=24 X=24/3 X=8 ANS. FOR THE SMALLEST NUMBER 8+2=10 FOR THE MIDDLE NUMBER 8+4=12 FOR THE LARGEST NUMBER. PROOF: 8+10+12=30 30=30
 real-numbers/290883: Consecutive even integers. Find four consecutive even integers whose sum is 3701 solutions Answer 210466 by checkley77(12569)   on 2010-04-11 18:05:21 (Show Source): You can put this solution on YOUR website!LET X, X+2, X+4, & X+6 BE THE FOUR CONSECUTIVE EVEN INTEGERS. X+X+2+X+4+X+6=370 4X+12=370 4X=370-12 4X=358 X=358/4 X=89.5 IS NOT AN EVEN INTEGER.
 Signed-numbers/290885: how do u do this kind 8+5x=63 can u tell me step by step thank you 1 solutions Answer 210463 by checkley77(12569)   on 2010-04-11 17:56:12 (Show Source): You can put this solution on YOUR website!8+5x=63 FIRST YOU COMBINE THE NUMBERS ON THE RIGHT SIDE BY SUBTRACTING 8 FROM BOTH SIDES. 8-8+5X=63-8 5X=55 NOW DIVIDE BOTH SIDES BY 5 5X/5=55/5 X=11 ANS.
 Triangles/290779: If the diagonal of a square is 5 inches, find the length of one side.1 solutions Answer 210461 by checkley77(12569)   on 2010-04-11 17:52:46 (Show Source): You can put this solution on YOUR website!A^2+B^2=C^2 HERE YOU HAVE A=B 2A^2=5 A^2=5/2 A=SQRT2.5 A=1.58 IN. IS THE MEASUREMENT OF THE SIDES OF THE SQUARE.
 Linear-systems/290796: In a family there are two cars. In a given week, the first car gets an average of miles per gallon, and the second car gets miles per gallon. The two cars combined drive a total of miles in that week, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week? 1 solutions Answer 210459 by checkley77(12569)   on 2010-04-11 17:48:29 (Show Source): You can put this solution on YOUR website!I BELIEVE YOU HAVE LEFT OUT SOME NUMBERS FOR MILES DRIVEN OR GALLONS OF GAS USED??????
 Linear-equations/290804: find the slope and y intercept of the line 3Y+7X+7=9+7x1 solutions Answer 210457 by checkley77(12569)   on 2010-04-11 17:45:50 (Show Source): You can put this solution on YOUR website!3Y+7X+7=9+7x 3Y=7X-7X+9-7 3Y=2 Y=2/3 THIS IS THE Y INTERCEPT. THE SLOPE=0 THERE IS NO X INTERCEPT AS THIS LINE IS A HERIZONTAL LINE THROUGH Y=2/3. (graph 300x200 pixels, x from -6 to 5, y from -10 to 5, Y = 2/3).
 Expressions-with-variables/290807: a jar containing only nickels and dimes contains 60 coins. The value of all the coins in the jar is \$4.45. solve by elimination to find the amount of nickels and dimes are in the jar 1 solutions Answer 210456 by checkley77(12569)   on 2010-04-11 17:41:21 (Show Source): You can put this solution on YOUR website!N+D=60 MULTIPLY THIS EQUATION BY -.05 & ADD .05N+.10D=4.45 -.05N-.05D=-3 ----------------- .05D=1.45 D=1.45/.05 D=29 DIMES. 60-29=31 NICKELS. PROOF: .05*31+.10*29=4.45 1.55+2.90=4.45 4.45=4.45
 Coordinate-system/290810: 5(2-4+1)2/3(7-1)= I dont know what to do with the fraction 2/3. how do i work the problem and the answer; please help1 solutions Answer 210454 by checkley77(12569)   on 2010-04-11 17:35:40 (Show Source): You can put this solution on YOUR website!I believe your problem is the way the problem is written: I'll rewrite it for you: 5*2(2-4+1)/3(7-1) 10(-1)/3(6) -10/18=-5/9 ans. or: 5(2-4+1)(2/3)(7-1) (5*-1)(2/3)*6 -5(2/3)*6 -10/3*6 -60/3=-20 ans.
 Quadratic_Equations/290811: solve 32-18m2(square)=01 solutions Answer 210449 by checkley77(12569)   on 2010-04-11 17:20:34 (Show Source): You can put this solution on YOUR website!32-18m^2=0 2(16-9m^2)=0 2(4+3m)(4-3m)=0 4+3m=0\ 3m=-4 m=-4/3 ans. 4-3m=0 -3m=-4 m=4/3 ans.
 Linear-systems/290817: what is the ordered pair of 2y-10x=-46 and x-3y=131 solutions Answer 210445 by checkley77(12569)   on 2010-04-11 17:08:36 (Show Source): You can put this solution on YOUR website!2y-10x=-46 x-3y=13 MULTIPLY THIS EQUATION BY 10 & ADD. 10X-30Y=130 -10X+2Y=-46 -------------- -28Y=84 Y=84/-28 Y=-3 ANS. 2*-3-10X=-46 -6-10X=-46 -10X=-46+6 -10X=-40 X=-40/-10 X=4 ANS. PROOF: 4-3*3=13 4+9=13 13=13
 Polynomials-and-rational-expressions/290818: The volume of a box is 374 in^3 using the dimensions 17*11*2. What is a polynomial function that represents the volume of the box. (using the x for height)?1 solutions Answer 210443 by checkley77(12569)   on 2010-04-11 16:56:05 (Show Source): You can put this solution on YOUR website!V=L*W*X 374=17*11*X 374=187X X=374/187 X=2 ANS.
 Square-cubic-other-roots/290829: Use square root property to solve the equation. w^2-17=01 solutions Answer 210442 by checkley77(12569)   on 2010-04-11 16:52:05 (Show Source): You can put this solution on YOUR website!W^2-17=0 W^2=17 W=SQRT17 W=4.1231 ANS.
 Surface-area/290839: Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by A = P + Prt. a) Rewrite this formula by factoring out the greatest common factor on the right-hand side. b) Find A if \$8300 is invested for 3 years at a simple interest rate of 15%.1 solutions Answer 210440 by checkley77(12569)   on 2010-04-11 16:49:15 (Show Source): You can put this solution on YOUR website! A = P + Prt. A=P(1+rt) A=8,300(1*3*.15) A=8,300*.45 A=\$1,710 ANS. FOR THE INTEREST.
 Graphs/290840: use the intercepts to graph the equation. -x+4y=81 solutions Answer 210439 by checkley77(12569)   on 2010-04-11 16:45:21 (Show Source): You can put this solution on YOUR website!-x+4y=8 4y=x+8 y=x/4+8/4 y=x/4+2 The y intercept is (0,2) Setting y=0 solve for the x intercept. 0=x/4+2 x/4=-2 x=-2*4 x=-8 The x intercept is (-8,0) (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, x/4 +2).
 Evaluation_Word_Problems/290846: The first number is 8 more that the second number. three times the second number plus twice the first number is equal to 26. Find the numbers1 solutions Answer 210437 by checkley77(12569)   on 2010-04-11 16:37:50 (Show Source): You can put this solution on YOUR website!x=y+8 3y+2x=26 Replace x by (y+8) & solve for y 3y+2(y+8)=26 3y+2y+16=26 5y=26-16 5y=10 y=10/5 y=2 ans. x=2+8 x=10 ans. Proof; 3*2+2*10=26 6+20=26 26=26
 absolute-value/290848: Evaluate each function for the value specified. f(x) = x^2 - x -2; find f(-2)1 solutions Answer 210434 by checkley77(12569)   on 2010-04-11 16:33:21 (Show Source): You can put this solution on YOUR website!f(x) = x^2 - x -2; find f(-2) f(-2)=-2^2-(-2)-2 f(-2)=4+2-2 f(-2)=4 ans.
 Polynomials-and-rational-expressions/290849: Solve the inequality for 5<17-3z 1 solutions Answer 210432 by checkley77(12569)   on 2010-04-11 16:31:21 (Show Source): You can put this solution on YOUR website!5<17-3z 5-17<3z -12<3z -12/3 -4 Proof: Let z=-3. 5<17-3*-3 5<17+9 5<8
 Numbers_Word_Problems/290458: If 2^5 = 32, then 2^100 is closest to (A)10^10 (B) 10^15 (C) 10^20 (D) 10^25 (E) 10^30 1 solutions Answer 210288 by checkley77(12569)   on 2010-04-10 18:37:51 (Show Source): You can put this solution on YOUR website!If 2^5 = 32, then 2^100 is 1.26*10^30 ans. E) 10^30
 Linear-equations/290502: 2y=x+2 (0,4)1 solutions Answer 210286 by checkley77(12569)   on 2010-04-10 18:32:13 (Show Source): You can put this solution on YOUR website!2y=x+2 Y=X/2+2/2 Y=X/2+1 ANS. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/2 +1).
 Rectangles/290505: The perimeter of a rectangle is 80 inches. The length of the rectangle is 8 less then three times the width. What are the dimensions of the rectangle?1 solutions Answer 210284 by checkley77(12569)   on 2010-04-10 18:29:51 (Show Source): You can put this solution on YOUR website!P=2L+2W L=3W-8 80=2(3W-8)+2W 80=6W-16+2W 80=8W-16 8W=80+16 8W=96 W=96/8 W=12 ANS. FOR THE WIDTH. L=3*12-8 L=36-8 L=28 ANS. FOR THE LENGTH. PROOF: 80=2*28+2*12 80=56+24 80=80
 Polynomials-and-rational-expressions/290520: 49x^2+28xy+4y^21 solutions Answer 210282 by checkley77(12569)   on 2010-04-10 18:23:55 (Show Source): You can put this solution on YOUR website!49x^2+28xy+4y^2 (7x+2y)^2 ans.
 Quadratic_Equations/290521: x^2-x=-5 1 solutions Answer 210281 by checkley77(12569)   on 2010-04-10 18:22:12 (Show Source): You can put this solution on YOUR website!x^2-x=-5 x^2-x+5=0 x=(1+-sqrt(-1^2-4*1*5])/2*1 x=(1+-sqrt1-20])/2 x=(1+-sqrt-19)/2 x=(1+-4.36i)/2 x=(1+4.36i)/2 x=1/2+-4.36i/2 x=1/2+-2.18i
 Proportions/290522: 12x-7 5x+18 ______ = _______ 4 31 solutions Answer 210277 by checkley77(12569)   on 2010-04-10 18:15:20 (Show Source): You can put this solution on YOUR website!12x-7 5x+18 ______ = _______ cross multiply. 4 3 3(12x-7)=4(5x+18) 36x-21=20x+72 36x-20x=72+21 16x=93 x=93/16 ans. 3(12*93/16-7)=4(5*93/16+18) 3(1116/16-7*160/16=4(465+18*16)/16 3(1116-112)/16=4(465+288)/16 3*1004/16=4*753/16 3012/16=3012/16
 Surface-area/290524: A rectangle has an area of 1,728 inches cubed. What is the area in feet?1 solutions Answer 210273 by checkley77(12569)   on 2010-04-10 18:03:00 (Show Source): You can put this solution on YOUR website!1 ft^3=12*12*12 inches. 1 ft^3=1,728 in^3 Therefore 1,728 in^3=1 ft^3
 Polynomials-and-rational-expressions/290554: Find 3 consecutive odd numbers where the product of the smaller two numbers is 28 less than the square of the largest number?1 solutions Answer 210272 by checkley77(12569)   on 2010-04-10 17:57:45 (Show Source): You can put this solution on YOUR website!Let x, x+2 & x+4 be the 3 consecutive odd numbers. x(x+2)=(x+4)^2-28 x^2+2x=x^2+8x+16-28 x^2-x^2+2x-8x=16-28 -6x=-12 x=-12/-6 x=2 ans. Proof: 2(2+2)=(2+4)^2-28 2*4=6^2-28 8=36-28 8=8
 Evaluation_Word_Problems/290557: The length of a swimming pool is to be three times the width. If the depth is to be a constant 4 feet and the volume is to be 4800 cubic feet, find the length and width.1 solutions Answer 210271 by checkley77(12569)   on 2010-04-10 17:51:23 (Show Source): You can put this solution on YOUR website!L=3W V=LWD 4800=3W*W*4 4800=12W^2 W^2=4800/12 W^2=2400 W^2=400 W=SQRT400 W=20 FT. ANS. FOR THE WIDTH. L=3*20=60 FT. ANS. FOR THE LENGTH. PROOF: 4800=60*20*4 4800=4800
 Proportions/290559: 5.8 is 0.9 percent of what number?1 solutions Answer 210270 by checkley77(12569)   on 2010-04-10 17:46:38 (Show Source): You can put this solution on YOUR website!5.8=.9x x=5.8/.9 x=6.444 ans.
 Graphs/290560: What is the standard form of this problem? containg the point -3,-6 and perpendicular to the graph of 4x+3y=51 solutions Answer 210269 by checkley77(12569)   on 2010-04-10 17:44:49 (Show Source): You can put this solution on YOUR website!-3,-6 and perpendicular to the graph of 4x+3y=5 4x+3y=5 3y=-4x+5 y=-3x/4+5/3 (red line) This line has a slope=-3/4. A perpendicular line will have a slope=4/3. Y=mX+b -6=4/3*-3+b -6=-4+b b=-6+4 b=-2 ans. for the Y intercept. y=4x/3-2 (green line) is the line equation that is perpendicular to y=-3x/4+5/3 through the points (-3,-6) Proof: (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -3x/4 +5/3 and 4x/3 -2).
 Expressions-with-variables/290561: I trying to learn elimination and substitution my problem is (3x + 3y = -1 2x - 2y = 5 1 solutions Answer 210267 by checkley77(12569)   on 2010-04-10 17:36:34 (Show Source): You can put this solution on YOUR website!Elimination method: 3x+3y=-1 multiply this equation by 2. 2x-2y=5 multiply this equation by 3 & add. 6x+6y=-2 6x-6y=15 ------------ 12x=13 x=13/12 ans. 3*13/12+3y=-1 39/12+3y=-1 3y=-1-39/12 3y=-1-13/4 3y=-4/4-13/4 3y=-17/4 y=(-17/4)/3 y=-17/4*1/3 y=-17/12 ans. Proof: 2(13/12)-2(-17/12)=5 26/12+34/12=5 60/12=5 5=5