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# Recent problems solved by 'checkley77'

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 Coordinate-system/136879: What is the distance between (6,-1)and (-3,7)?1 solutions Answer 100270 by checkley77(12569)   on 2008-04-16 18:33:25 (Show Source): You can put this solution on YOUR website!distance between (6,-1)and (-3,7)is: for the x distance we have 6+3=9 for the y distance we have 7+1=8 thus we have a right triangle with 2 sides of 9 & 8 & we're looking for the hypotenuse using: [a^2+b^2=c^2]. 8^2+9^2=h^2 64+81=h^2 145=h^2 h=sqrt145 h=12.0416 is the distance between these 2 points.
 Inverses/136880: simplify:14/-2 5(-4) 7-(-3) -7(4) x-5=-3 4x=-8 x/2=-8 -2x=6 x/-5=41 solutions Answer 100268 by checkley77(12569)   on 2008-04-16 18:28:27 (Show Source): You can put this solution on YOUR website!14/-2=-7 5(-4)=-20 7-(-3)=21 -7(4)=-28 x-5=-3 or x=5-3 or x=2 4x=-8 or x=-8/4 or x=-2 x/2=-8 or x=2*-8 or x=-16 -2x=6 or x=6/-2 or x=-3 x/-5=4 or x=-5*4 or x=-20
 Graphs/136885: SOLVE AND GRAPH X+Y=3 X-Y=11 solutions Answer 100266 by checkley77(12569)   on 2008-04-16 18:24:42 (Show Source): You can put this solution on YOUR website!sometimes it's easier to graph & then solve: the solution here is (2,1) X+Y=3 Y=-X+3 (RED LINE) X-Y=1 -Y=-X+1 Y=X-1 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +3 and x -1).
 Graphs/136886: SOLVE AND GRAPH X+Y=3 X-Y=11 solutions Answer 100265 by checkley77(12569)   on 2008-04-16 18:22:14 (Show Source): You can put this solution on YOUR website!sometimes it's easier to graph & then solve: the solution here is (2,1) X+Y=3 Y=-X+3 (RED LINE) X-Y=1 -Y=-X+1 Y=X-1 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +3 and x -1).
 Graphs/136887: SOLVE AND GRAPH X+Y=3 X-Y=11 solutions Answer 100264 by checkley77(12569)   on 2008-04-16 18:19:59 (Show Source): You can put this solution on YOUR website! sometimes it's easier to graph & then solve: the solution here is (2,1) X+Y=3 Y=-X+3 (RED LINE) X-Y=1 -Y=-X+1 Y=X-1 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +3 and x -1).
 Linear-equations/136888: This question is from textbook Pre-algebra i'm having a hard time understanding how to identify the slope and y-intercept of y = -4/3x + 3 and graphing the line.1 solutions Answer 100263 by checkley77(12569)   on 2008-04-16 18:15:16 (Show Source): You can put this solution on YOUR website!Y=mX+b IS THE STANDARD LINE FORMULA WHERE m=SLOPE & b=Y INTERCEPT. y = -4/3x + 3 HERE WE HAVE A SLOPE m=-4/3 HERE WE HAVE A Y INTERCEPT (b) OF (0,3) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -4x/3 +3).
 Linear-equations/136902: BOBS POPCORN DELIGHT SHOP HAS TWO TYPES OF POPCORN. BUTTER POPCORN SELLS FOR 3.99 FOR A 12OZ BAG AND NON BUTTER POPCORN SELLS FOR 2.99 A 12 0Z BAG. HOW MANY BAGS OF EACH DOES BOB NEED TO MIX TO GET 50 12 OZ BAG TO PRODUCE A MIXTURE OF BOTH POPCORNS THAT SELLS FOR 3.49? ROUND EACH BAG TO THE NEAREST WHOLE NUMBER 1 solutions Answer 100261 by checkley77(12569)   on 2008-04-16 18:04:08 (Show Source): You can put this solution on YOUR website!(3.99+2.99)/2=3.49 6.98/2=3.49 3.49=3.49 THEREFORE THE AMOUNT NEEDED (50 12 OZ BAGE) IS DIVIED EQUALLY BETWEEN THE 2 TYPES. 25 BAGS EACH. PROOF 25*3.99+25*2.99=50*3.49 99.75+74.75=174.50 174.50=174.50
 Equations/136988: 4z+12=7z-91 solutions Answer 100258 by checkley77(12569)   on 2008-04-16 17:53:44 (Show Source): You can put this solution on YOUR website!4z+12=7z-9 4Z-7Z=-9-12 -3Z=-21 Z=-21/-3 Z=7 ANSWER. PROOF 4*7+12=7*7-9 28+12=49-9 40=40
 Money_Word_Problems/136948: Chris has invested \$2,300 in two small businesses. Last year, the greeting card business made a 14% profit on his investment in the business, while the bicycle repair business showed a 6% loss. If Chris' net profit from the two businesses was \$102, her investment in the greeting card business was \$___?1 solutions Answer 100256 by checkley77(12569)   on 2008-04-16 17:24:33 (Show Source): You can put this solution on YOUR website!.14X-.06(2300-X)=102 .14X-138+.06X=102 .2X=102+138 .2X=240 X=240/.2 X=1200 INVESTED @ 14% 2300-1200=1100 INVESTED @ 6% PROOF .14*1200-.06*1100=102 168-66=102 102=102
 Mixture_Word_Problems/136962: How many liters of a 60% alcohol solution must be mixed with 90 liters of a 90% solution to get a 80% solution1 solutions Answer 100255 by checkley77(12569)   on 2008-04-16 17:17:14 (Show Source): You can put this solution on YOUR website!.6X+.9*90=.8(90+X) .6X+81=72+.8X .6X-.8X=72-81 -.2X=-9 X=-9/-.2 X=45 LITERS OF 60% ALCOHOL IS NEEDED. PROOF: .6*45+.9*90=.8(90+45) 27+81=.8(135) 108=108
 Expressions-with-variables/136964: -6(a+8) 1 solutions Answer 100254 by checkley77(12569)   on 2008-04-16 17:13:01 (Show Source): You can put this solution on YOUR website!-6(A+8)=-6A-48
 Probability-and-statistics/136983: This question is from textbook Fundmentals of Alegebraic Modeling In a study of 4000 men who are 60 years old, 2600 were found to be grandfathers. Based on this data, what is the probability of a 60-year old man being a grandfather?1 solutions Answer 100253 by checkley77(12569)   on 2008-04-16 17:11:00 (Show Source): You can put this solution on YOUR website!2600/4000=.65 OR 65% ARE PROBABLY GRANDFATHERS.
 Polynomials-and-rational-expressions/136976: I have not done algebra in over 10 years and I don't remember any of this stuff. Please help. Explain this to me? Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x. A. -6x squared+25x+ 6 B. 6x squared+5x+6 C. 6xsquared-5x+6 D. 6xsquared-5x-6 E. 6xsquared-13x-6 1 solutions Answer 100252 by checkley77(12569)   on 2008-04-16 17:09:00 (Show Source): You can put this solution on YOUR website!(2x-3)(3x+2) 6x^2-9x+4x-6 6x^2-5x-6 ANSWER D).
 Exponents-negative-and-fractional/136977: adding & Subtracting fractions; mixed expression How would you do this problem? write in simplest form 3x-1/x1 solutions Answer 100251 by checkley77(12569)   on 2008-04-16 17:01:16 (Show Source): You can put this solution on YOUR website!3x-1/x (3x^2-1)/x
 Rate-of-work-word-problems/136978: Hi, I was hoping I could get some help... Sara takes 3 hours longer to paint a floor than it takes Katie. When they work together, it takes them 2 hours.How long would each take to do the job alone? So far I have Sara=X+3 Kate=X (2/X+3 + 2/X = 1) all that multiplied by X(X+3) But I don't know what to do next, or even if that is right Thank you for the help1 solutions Answer 100250 by checkley77(12569)   on 2008-04-16 16:52:04 (Show Source): You can put this solution on YOUR website!SORRY SORRY SORRY. i MISREAD THE PROBLEM AND USED SARA'S TIME AS 3 TIMES kATIE INSTEAD OF 3 HOURS LONGER. the formula for working together is: x*y/(x+y) time working together. Sara=k+3 Katie=k K(K+3)/(K+3+K)=2 (K^2+3K)/(2K+3)=2 K^2+3K=2(2K+3) K^2+3K=4K+6 K^2+3K-4K-6=0 K^2-K-6=0 (K-3)(K+2) K-3=0 K=3 HOURS FOR KATIE WORKING ALONE. 3+3=6 HOURS FOR SARA WORKING ALONE.
 Travel_Word_Problems/136979: Please help... A boat moves 7 kph in still water. It travels 445 km upriver and 45 km downriver in a total time of 14 hours. What is the speed of the current? All I know is that the distances are equal. But I don't know how to set up the equation and how to solve it. Thank you for the help.1 solutions Answer 100249 by checkley77(12569)   on 2008-04-16 16:44:46 (Show Source): You can put this solution on YOUR website!d=rt or d/r=t 45/(7+x)+4/(7-x)=14 [45(7-x)+45(7+x)]/(7+x)(7-x)=14 [315-45x+315+45x]/(49-x^2)=14 630/(49-x^2)=14 now cross multiply 14(49-x^2)=630 686-14x^2=630 -14x^2=630-686 -14x^2=-56 x^2=-56/-14 x^2=4 x=sqrt4 x=2 kmph is the speed of the current. 45/(7+2)+45/(7-2)=14 45/9+45/5=14 5+9=14 14=14
 Travel_Word_Problems/136970: can you solve? A boat moves 7kph in still water. It ravels 45 km upriver and 45 km downriver in a total time of 14 hours. What is the speed of the current? I am more interested in the work than the answer so please show me step by step. Thanks1 solutions Answer 100248 by checkley77(12569)   on 2008-04-16 16:43:50 (Show Source): You can put this solution on YOUR website!d=rt or d/r=t 45/(7+x)+4/(7-x)=14 [45(7-x)+45(7+x)]/(7+x)(7-x)=14 [315-45x+315+45x]/(49-x^2)=14 630/(49-x^2)=14 now cross multiply 14(49-x^2)=630 686-14x^2=630 -14x^2=630-686 -14x^2=-56 x^2=-56/-14 x^2=4 x=sqrt4 x=2 kmph is the speed of the current. 45/(7+2)+45/(7-2)=14 45/9+45/5=14 5+9=14 14=14
 Quadratic_Equations/136971: Find the intercepts to graph the equation. 5x-2y=10 Please help me.1 solutions Answer 100247 by checkley77(12569)   on 2008-04-16 16:28:30 (Show Source): You can put this solution on YOUR website!5x-2y=10 -2y=-5x=10 y=-5x/-2+10/-2 y=5x/2-5 setting x=0 & solve for y y=5*0/2-5 y=-5 the y intercept (0,-5) setting y=0 & solve for x 0=5x/2-5 5x/2=5 5x=2*5 5x=10 x=10/5 x=2 the x intercept(2,0) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x/2 -5).
 Polynomials-and-rational-expressions/136973: I am trying to solve polynomial equations by factoring and i need help. The problem is (9t+11)(t+9)=79 Please help1 solutions Answer 100246 by checkley77(12569)   on 2008-04-16 16:23:10 (Show Source): You can put this solution on YOUR website!(9t+11)(t+9)=79 9t^2+11t+81t+99=79 9t^2+92t+99-79=0 9t^2+92t+20=0 (9t+2)(t+10)=0 9t+2=0 9t=-2 t=-2/9 or -.2222 answer. t+10=0 t=-10 answer.
 Quadratic_Equations/136972: Graph 5x-3y=15 using the slope and y-intercept. Help again.1 solutions Answer 100245 by checkley77(12569)   on 2008-04-16 16:16:27 (Show Source): You can put this solution on YOUR website!5x-3y=15 -3y=-5x+15 y=-5x/-3+15/-3 y=5x/3-5 this line has a slope=5/3 & a y intercept=-5. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x/3 -5).
 Polynomials-and-rational-expressions/136956: I need help on how to figure this out: To determine the number of deer in a game preserve, a conservationist catches 804 deer, tags them and lets them loose. Later, 549 deer are caught; 183 of them are tagged. How many deer are in the preserve? Please help1 solutions Answer 100232 by checkley77(12569)   on 2008-04-16 14:19:40 (Show Source): You can put this solution on YOUR website!804/X=183/549 183X=804*549 183X=441,396 X=441,396/183 X=2,412 IS THE ESTIMATED NUMBER OF THE DEER POPULATION.
 Triangles/136957: Please help! I need to find the length of the base of a triangle in which the base of said triangle is 3 times its height with an area of 216 Cm2. Thanks.1 solutions Answer 100231 by checkley77(12569)   on 2008-04-16 14:15:19 (Show Source): You can put this solution on YOUR website!B=3H FORMULA FOR THE AREA OF A TRIANGLRE IS : AREA=BH/2 OR 216=3H*H/2 216=3H^2/2 3H^2=2*216 3H^2=432 H^2=432/3 H^2=144 H=SQRT144 H=12 ANSWER FOR THE HEIGHT. B=3*12=36 ANSWER FOR THE BASE. PROOF: 216=3*12*12/2 216=216
 Matrices-and-determiminant/136787: IF g(x)= 2x^2- 2x-4 , FIND THE FOLLOWING C) g(x-2) i understand simple ones but this one is a little tuffer for me because of the x i have to use... please help lj23kfuller@yahoo.com thank you!!!1 solutions Answer 100174 by checkley77(12569)   on 2008-04-15 19:48:01 (Show Source): You can put this solution on YOUR website!g(x)= 2x^2- 2x-4 , FIND THE FOLLOWING) g(x-2) JUST REPLACE X BY(X-2) & SOLVE THUS: G(X-2)=2(X-2)^2-2(X-2)-4 G(X-2)=2(X^2-4X+4)-2X+4-4 G(X-2)=2X^-8X+8-2X G(X-2)=2X^2-10X+8 G(X-2)=2(X^2-5X+4) G(X-2)=2(X-4)(X-1)
 Linear_Equations_And_Systems_Word_Problems/136791: THe total of two numbers is 35. Four times the larger number is 4 less than five times the smaller.1 solutions Answer 100171 by checkley77(12569)   on 2008-04-15 19:42:27 (Show Source): You can put this solution on YOUR website!X+Y=35 OR X=35-Y 4Y=5X-4 NOW REPLACE X BY (35-Y) & SOLVE FOR Y 4Y=5(35-Y)-4 4Y=175-5Y-4 4Y+5Y=171 9Y=171 Y=171/9 Y=19 ANSWER FOR THE LARGER NUMBER. X+19=35 X=35-19 X=16 ANSWER FOR THE LARGER NUMBER. PROOF: 4*19=5*16-4 76=80-4 76=76
 Graphs/136800: x+y=7 x-y=11 solutions Answer 100167 by checkley77(12569)   on 2008-04-15 19:23:07 (Show Source): You can put this solution on YOUR website!x+y=7 y=-x+7 (red line) x-y=1 -y=-x+1 y=x-1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +7 and x -1). ANSWER (4,3).
 Exponents/136820: how do you solve problems like 11 (-7) divided by 11 (5)1 solutions Answer 100165 by checkley77(12569)   on 2008-04-15 19:18:11 (Show Source): You can put this solution on YOUR website!11*-7/11*5 FIRST YOU CANCEL THE (11) TERMS: -7/5 IS THE ANSWER.
 Surface-area/136826: what is the volume of a cube that has an edge of 7 yd1 solutions Answer 100164 by checkley77(12569)   on 2008-04-15 19:15:18 (Show Source): You can put this solution on YOUR website!V=7*7*7=343 YD^3
 Polynomials-and-rational-expressions/136835: A rectangle has an area of (16p^2-40pr+25r^2) Find the dimensions of the rectangle.1 solutions Answer 100163 by checkley77(12569)   on 2008-04-15 19:13:00 (Show Source): You can put this solution on YOUR website!(16p^2-40pr+25r^2) (4P-5R)^2 OR THE SIDES EQUAL 4P+5R & IS A SQUARE. PROOF: 4P-5R 4P-5R ---------------------- 16P^2-20PR-20PR+25R^2 16P^2-40PR+25R^2
 Linear_Equations_And_Systems_Word_Problems/136857: BOBS POPCORN DELIGHT SHOP HAS TWO TYPES OF POPCORN. BUTTER POPCORN SELLS FOR 3.99 FOR A 12OZ BAG AND NON BUTTER POPCORN SELLS FOR 2.99 A 12 0Z BAG. HOW MANY BAGS OF EACH DOES BOB NEED TO MIX TO GET 50 12 OZ BAG TO PRODUCE A MIXTURE OF BOTH POPCORNS THAT SELLS FOR 2.49? ROUND EACH BAG TO THE NEAREST WHOLE NUMBER 1 solutions Answer 100162 by checkley77(12569)   on 2008-04-15 19:08:01 (Show Source): You can put this solution on YOUR website!ARE YOU SURE YOU HAVE THE CORRECT DATA FOR THIS PROBLEM?> YOU CANNOT MIX \$2.99 & \$3.99 POPCORN & GET A MIX WORTH \$2.49. THE COST OF ANY MIX MUST BE PRICED BETWEEN \$2.99 & \$3.99. \$2.49 DOES NOT FIT ANY SOLUTION.
 Equations/136861: PROBLEM: DAVE IS FLYING FROM PHILADELPHIA TO CHICAGO. ON THE FLIGHT, FLYING AGAINST THE WIND, THE 780 MILE TRIP TAKES 2 HOURS. THE RETURN TRIP, WITH THE WIND TAKES 1.5 HOURS. FIND THE SPEED OF THE WIND AND FIND THE SPEED OF THE PLANE IN STILL AIR. PLEASE HELP I DONT EVEN KNOW WHERE TO BEGIN THANKS!!1 solutions Answer 100161 by checkley77(12569)   on 2008-04-15 18:58:19 (Show Source): You can put this solution on YOUR website!780/2=390 MPH AGAINST THE WIND 780/1.5=520 MPH WITH THE WIND (520-390)/2=130/2=65 MPH FOR THE WIND SPED. PROOF: 520-65=390+65 455=455 THIS IS THE SPEED OF THE PLANE IN STILL AIR.
 Equations/136864: PROBLEM: DAVE IS FLYING FROM PHILADELPHIA TO CHICAGO. ON THE FLIGHT, FLYING AGAINST THE WIND, THE 780 MILE TRIP TAKES 2 HOURS. THE RETURN TRIP, WITH THE WIND TAKES 1.5 HOURS. FIND THE SPEED OF THE WIND AND FIND THE SPEED OF THE PLANE IN STILL AIR. PLEASE HELP I DONT EVEN KNOW WHERE TO BEGIN THANKS!!1 solutions Answer 100159 by checkley77(12569)   on 2008-04-15 18:57:09 (Show Source): You can put this solution on YOUR website!780/2=390 MPH AGAINST THE WIND 780/1.5=520 MPH WITH THE WIND (520-390)/2=130/2=65 MPH FOR THE WIND SPED. PROOF: 520-65=390+65 455=455 THIS IS THE SPEED OF THE PLANE IN STILL AIR.