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# Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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 Quadratic-relations-and-conic-sections/66246: Please help sketch the graph and name the conic section with equation: 4x^2-16x+9y^2+18y=0 So far I have factored out the 4 and 9. What comes next?Thank you 1 solutions Answer 47029 by checkley71(8403)   on 2007-01-09 10:14:49 (Show Source): You can put this solution on YOUR website!4X^2-16X+9Y^2+18Y=0 4X(X-4)+9Y(Y+2)=0 (graph 300x200 pixels, x from -6 to 5, y from -20 to 20,4x^2 -16x +9y^2 +18y).
 Mixture_Word_Problems/66303: Mix a solution that is 50% alcohol with a soution that is 20%to make 450 mL of a aolution that is 40% alcohol. How much of each solutions should you use ?1 solutions Answer 47028 by checkley71(8403)   on 2007-01-09 09:53:47 (Show Source): You can put this solution on YOUR website!.5X+.2(450-X)=.4*450 .5X+90-.2X=180 .5X-.2X=180-90 .3X=90 X=90/.3 X=300 ML OF 50% ALCOHOL. 450-300=150 ML OF 20% ALCOHOL PROOF .5*300+.2*150=180 150+30=180 180=180
 Equations/66297: 1. draw the graph of each line using its y-intercept and its slope: 4x+3y=9 2. determine if the lines are parallel, perpendicular, or neither: y= 1/3x+1/2 3. find the equation of the line, write answer in slope-intercept form The line is parallel to -3x+2y=91 solutions Answer 47027 by checkley71(8403)   on 2007-01-09 09:49:45 (Show Source): You can put this solution on YOUR website!4X+3Y=9 3Y=-4X+9 Y=-4/3X+3 SLOPE = -4/3 WITH A Y INTERCEPT OF 3 THE SECOND LINE Y=X/3+1/2 IS NEITHER PARALLEL NOR PERPENDICULAR AS SHOWN ON THIS GRAPH. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -4x/3 + 3,y = x/3 + 1/2). -3X+2Y=9 2Y=3X+9 Y=3X/2+9/2 Y=1.5X+4.5 THIS LINE HAS A SLOPE OF 1.5 & A Y INTERCEPT OF 4.5 AS SHOWN. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -1.5x + 4.5).
 Linear-systems/66298: 1. 2x=y-1 y=3x 2. x=-y 2x+y=-2 3. 2x+2y=4 x=10-3y 4. y=7-x 2x+3y=-1 Solve by substitution. Check your answers. I am new to Algebra 1 having trouble solving these problems. Can you help!!!! Thanks ISBN: 0-03-070039-6 pg 756 1-4 plus #6 ch 7.21 solutions Answer 47023 by checkley71(8403)   on 2007-01-09 09:15:35 (Show Source): You can put this solution on YOUR website!SINCE Y=3X THEN WE SUBSTITUTE (3X) FOR Y IN THE OTHER EQUATION THUS 2X=3X-1 2X-3X=-1 -X=-1 X=1 SOLUTION. NOW SUBSTITUTE 1 FOR X IN EITHER EQUATION & SOLVE FOR Y. Y=3*1 Y=3 SOLUTION --------------------------------------------------- X=-Y NOW SUBSTITUTE (-Y) FOR X IN THE OTHER EQUATION & SOLVE. 2(-Y)+Y=-2 -2Y+Y=-2 -Y=-2 Y=2 SOLUTION X=-(-2) X=2 SOLUTION -------------------------------------------------- X=10-3Y SUBSTITUTE (10-3Y) FOR X IN THE OTHER EQUATION. 2(10-3Y)+2Y=4 20-6Y+2Y=4 -2Y=4-20 -2Y=-16 Y=-16/-2 X=8 SOLUTION 8=10-3Y 8-10=-3Y -3Y=--2 Y=-2/-3 Y=2/3 SOLUTION ------------------------------------------------------------ Y=7-X 2X+3(7-X)=-1 2X+21-3X=-1 -X=-1-21 -X=-22 X=22 SOLUTION Y=7-22 Y=-15 SOLUTION ---------------------------------
 Equations/66270: Divide the fraction: 6p-18 3p-9 ------- / ------ 9p p^2+2p The only step I understand of this is to flip the last equation making it look like this: 6p - 18 p^2 + 2p ------- * --------- 9p 3p-9 After this I am lost, can anyone help me figure out this problem please? Thank you!1 solutions Answer 46993 by checkley71(8403)   on 2007-01-08 21:18:18 (Show Source): You can put this solution on YOUR website!(6P-18)(P^2+2P)/9P(3P-9) 2(3P-9)P(P+2)/9P(3P-9) FACTOR OUT THE Ps & THE (3P-9) 2(P+2)/9
 Equations/66269: Write in simplest form: 4r^2 - 25s^2 -------------- 2r^2+3rs-20s^2 Can anyone show me exactly how to figure this problem out please? Thank you1 solutions Answer 46990 by checkley71(8403)   on 2007-01-08 21:13:08 (Show Source): You can put this solution on YOUR website!(4R^2-25S^2)/(2R^2+3RS-20S^2) (2R-5S)(2R+5S)/(2R-5S)(R+4S) CANCEL OUT THE FACTORS (2R-5S) (2R+5S)/(R+4S)
 Rational-functions/66283: A cube has volume V=s3, where s is the length of a side. Fill in the blank: The side length for a cube with volume 8000cm3 is __cm31 solutions Answer 46988 by checkley71(8403)   on 2007-01-08 21:08:33 (Show Source): You can put this solution on YOUR website!8000=S^3 8000=20^3 PROOF 20*20*20=8000 8000=8000
 Equations/66172: x-y=0 12x-5x=-211 solutions Answer 46987 by checkley71(8403)   on 2007-01-08 21:06:45 (Show Source): You can put this solution on YOUR website!X-Y=0 X=-Y ------------------ 12X-5X=-21 7X=-21 X=-21/7 X=-3
 Functions/66284: x=3 x=0 directions highschool algebra 1 worksheet g(x)=3x another problem h(x)=x+7 I donot understand how to do the problem 1 solutions Answer 46985 by checkley71(8403)   on 2007-01-08 21:04:36 (Show Source): You can put this solution on YOUR website!G(X)=3X SUBSTITUTE 3 FOR X THUS G(3)=3*3 G(3)=9 ------------------------- G(0)=3*0 G(0)=0 ------------------------ F(X)=X+7 F(3)=3+7 F(3)=10 -------------------------- F(0)=0+7 F(0)=7
 Linear-equations/66163: 3x-y=2 1 solutions Answer 46984 by checkley71(8403)   on 2007-01-08 21:01:04 (Show Source): You can put this solution on YOUR website!IF YOU'RE SOLVING FOR Y THEN -Y=2-2X Y=-2+2X Y=2(X-1) ----------------------- IF YOU'RE SOLVING FOR X THEN 3X=2-Y X=(2-Y)/3 --------------------------- IF YOU'RE TRYING TO FIND THE EQUATION OF THE LINE THEN Y=2X-2 WHICH DESCRIBES A LINE WITH A SLOPE OF 2 & A Y INTERCEPT OF (0,2).
 Quadratic_Equations/66259: I'm having a hard time with this problem. Please help! Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area. Answer: 1 solutions Answer 46983 by checkley71(8403)   on 2007-01-08 20:56:49 (Show Source): You can put this solution on YOUR website!THE MAXIMUNM AREA OF A RECTANGLE IS IN THE FORM OF A SQUARE THUS X^2=400 SQUARE FEET X=20 FEET FOR THE LENGTH & THE WIDTH
 Proportions/66253: Can you please help me with this proportion? The ratio of the measures of three angles of a triangle is 5:7:8. Find the measure of each angle of the triangle. 1 solutions Answer 46982 by checkley71(8403)   on 2007-01-08 20:53:29 (Show Source): You can put this solution on YOUR website!5X+7X+8X=180 20X=180 X=180/20 X=9 THUS THE ANGLES ARE 5*9=45 7*9=63 8*9=72 PROOF 45+63+72=180 180=180
 Rational-functions/66282: What is the value of (16)1/4 ?1 solutions Answer 46981 by checkley71(8403)   on 2007-01-08 20:49:50 (Show Source): You can put this solution on YOUR website!16^(1/4) IS THE SAME AS THE FOURTHRT OF 16^1 THUS FOURTHRT16=2 PROOF 2^4=16
 Proportions/66255: Please help me find the measures of the sides of the triangle: The ratio of the measures of three sides of a triangle are 1/2:1/3:1/5, and its perimeter is 6.2 centimeters.1 solutions Answer 46979 by checkley71(8403)   on 2007-01-08 20:46:52 (Show Source): You can put this solution on YOUR website!X/2+X/3+X/5=6.2 FIND A COMMON DENOMINATOR (30) (15X+10X+6X)/30=6.2 31X/30=6.2 31X=186 X=186/31 X=6 1/2*6=3 ONE SIDE 1/3*6=2 SECOND SIDE 1/5*6=6/5=1.2 THIRD SIDE PROOF 3+2+1.2=6.2 6.2=6.2
 real-numbers/66266: I need to learn how to solve 4.692a+30=3.7a-0.4 I have a test on this tommorow and i would really appreciate the help thanks smiles1 solutions Answer 46976 by checkley71(8403)   on 2007-01-08 20:40:40 (Show Source): You can put this solution on YOUR website!4.692A+30=3.7A-.4 COMBINE THE As & THE NUMBERS THUS 4.692A-3.7A=-.4-30 .992A=-30.4 DIVIDE BOTH SIDES BY .992 A=-30.4/.992 REDUCE BY DIVIDING BOTH NUMERATOR & DENOMINATOR BY 16 A=-1.9/.062
 Rational-functions/66281: A cube has volume V=s3, where s is the length of a side. Fill in the blank: The side length for a cube with volume 27000 m3 is __m31 solutions Answer 46973 by checkley71(8403)   on 2007-01-08 20:31:57 (Show Source): You can put this solution on YOUR website!S=30 30^3=27000
 Quadratic_Equations/66256: I'm having a hard time with this. Please help! Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: a) Solve by factoring. Answer: 1 solutions Answer 46972 by checkley71(8403)   on 2007-01-08 20:29:23 (Show Source): You can put this solution on YOUR website!X^2-6X+8=0 (X-4)(X-2)=0 X-4=0 X=4 SOLUTION X-2=0 X=2 SOLUTION
 Inequalities/66267: This question is from textbook Pre-Algebra Find the unit rate. 60 songs divided by 5 hours Thanks! Please work fast! Don't forget to post!1 solutions Answer 46971 by checkley71(8403)   on 2007-01-08 20:25:35 (Show Source): You can put this solution on YOUR website!60S/5H 12 SONGS PER HOUR
 Quadratic_Equations/66274: How do I factor this1 solutions Answer 46970 by checkley71(8403)   on 2007-01-08 20:23:20 (Show Source): You can put this solution on YOUR website!12M^3-8M^2-15M=0 M(12M^2-8M-15)=0 M(6M+5)(2M-3)=0 M=0 SOLUTION 6M+5=0 6M=-5 M=-5/6 SOLUTION 2M-3=0 2M=3 M=3/2 M=1.5 SOLUTION
 Rational-functions/66279: What is the value of (-243)1/5 ?1 solutions Answer 46969 by checkley71(8403)   on 2007-01-08 20:15:24 (Show Source): You can put this solution on YOUR website!(-243)^1/5 FIFTHRT-243 -3 PROOF -3^5=-243
 Equations/66268: Write the expression in simplest form: 4x-28 ----- 5x-35 I am not sure how to do this? Thank you so much for your help :-)1 solutions Answer 46968 by checkley71(8403)   on 2007-01-08 20:12:50 (Show Source): You can put this solution on YOUR website!(4X-28)/(5X-35) 4(X-7)/5(X-7) CANCEL OUT THE (X-7) 4/5
 Inequalities/66278: I really need you to show step by step: 10X-8<2 Thanks!1 solutions Answer 46967 by checkley71(8403)   on 2007-01-08 20:10:24 (Show Source): You can put this solution on YOUR website!10X-8<2 10X-8=2 10X=2+8 10X=10 X=10/10 X=1 OR X<1
 Quadratic_Equations/66275: How do I factor this1 solutions Answer 46966 by checkley71(8403)   on 2007-01-08 20:07:52 (Show Source): You can put this solution on YOUR website!6E^3-5E^2-6E=0 E(6E^2-5E-6)=0 E(3E+2)(2E-3)=0 E=0 SOLUTION 3E+2=0 3E=-2 E=-2/3 SOLUTION 2E-3=0 2E=3 E=3/2 E=1.5 SOLUTION
 Equations/66195: Subtract and write in simplest form: 2 3 ------- - -------- 5w+10 2w-4 2-3 = -1 5w + 10 = 15w 2w - 4 = -2w 15w - -2w = 13w Leaving the equation looking like: -1 --- 13w Is this correct or did I mess it completely up? Thank you1 solutions Answer 46954 by checkley71(8403)   on 2007-01-08 15:04:53 (Show Source): You can put this solution on YOUR website!2/(5W+10)-3/(2W-4) NOW FIND A COMMON DENOMINATOR (5W+10)(2W+4) & MULTIPLY 2(2W-4)-3(5W+10)/(5W+10)(2W-4) (4W-8-15W-30)/10W^2+20W-20W-40) (-11W-38)/(10W^2-40) (-11W-38)/10(W^2-4) (-11W-38)/10(W-2)(W+2)
 Square-cubic-other-roots/66239: This question is from textbook An Incremental Development please help to simplify 4 times the square root of a^7c * 3 times the square root of ac^21 solutions Answer 46948 by checkley71(8403)   on 2007-01-08 14:48:35 (Show Source): You can put this solution on YOUR website!(4SQRTA^7C)(3SQRTAC^2) 12SQRTA^8C^3 12SQRT(A^4A^4)(C^2C) 12A^4CSQRTC
 Permutations/66200: I learned this last year, but I don't remember the formula and I can't find it anywhere. I appreciate any help!! A store sells 5-cent, 10-cent, and 15-cent pencils. How many different ways can you spend \$.45 on pencils?1 solutions Answer 46947 by checkley71(8403)   on 2007-01-08 14:40:15 (Show Source): You can put this solution on YOUR website!MOST DIRECT SOLUTION IS TO MAKE A TABLE THUS ///15C///10C///5C///=45C -------------------------------------- ///QTY///QTY//QTY///=PRICE ////3/////0////0////=45 ////2/////1////1////=45 ////2/////0////3////=45 ////1/////3////0////=45 ////1/////2////2////=45 ////1/////0////4////=45 ////0/////4////1////=45 ////0/////3////3////=45 ////0/////2////5////=45 ////0/////1////7////=45 ////0/////0////9////=45
 Equations/66222: 3N+N=1 solutions Answer 46945 by checkley71(8403)   on 2007-01-08 14:21:09 (Show Source): You can put this solution on YOUR website!3n+n=4n
 Linear-systems/66228: This question is from textbook An Incremental Development Please help to solve x^2 + y^2 = 36 2x^2 - y^2 = -91 solutions Answer 46944 by checkley71(8403)   on 2007-01-08 14:19:07 (Show Source): You can put this solution on YOUR website!x^2+y^2=36 2x^2-y^2=-9 now add these equations ----------------------------- 3x^2=27 x^2=27/3 x^2=9 x=+-3 substitute +-3 for x & solve for y 3*3+y^2=36 9+y^2=36 y^2=36-9 y^2=27 y=+-5.196
 Quadratic_Equations/66235: This question is from textbook An Incremental Development Please help! Find m : c/a + d/m+x = ac1 solutions Answer 46942 by checkley71(8403)   on 2007-01-08 14:10:13 (Show Source): You can put this solution on YOUR website!c/a+d/m+x=ac d/m=ac-c/a-x d=m(ac-c/a-x) m=d/(ac-c/a-x)
 Quadratic_Equations/66194: This question is from textbook merrill algebra two with trigonometry If the product of two consecutive odd integers is decreased by one-third the lesser integer, the result is 250. Find the integers. 1 solutions Answer 46941 by checkley71(8403)   on 2007-01-08 13:47:53 (Show Source): You can put this solution on YOUR website!x(x+2)-x/3=250 (x^2+2x)-x/3=250 (3x^2+6x-x)/3=250 3x^2+5x=750 3x^2+5x-750=0 using the quadratic equation we get x=(-5+-sqrt[5^5-4*3*-750])/2*3 x=(-5+-sqrt[25+9000])/6 x=(-5+-sqrt9025])/6 x=(-5+-95)/6 x=(-5+95)/6 x=90/6 x=15 solution x=(-5-95)/6 x=-100/6 x=-16 2/3 proof 15(15+2)-15/3=250 15*17-5=250 255-5=250 250=250
 Expressions-with-variables/66199: This question is from textbook Mathematics -13 is the difference of a number multiplied by 5 and 8 1 solutions Answer 46940 by checkley71(8403)   on 2007-01-08 13:17:59 (Show Source): You can put this solution on YOUR website!5x-8x=-13 -3x=-13 x=-13/-3 x=13/3 or x=4 1/3 proof 5*13/3-8*13/3=-13 65/3-104/3=-13 -39/3=-13 -13=-13