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# Recent problems solved by 'checkley75'

checkley75 answered: 3664 problems
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 Rectangles/76810: Please help. The length of a rectangle is 2 ft longer than the width. If the area is 16 ft^2, then what are the length and width?1 solutions Answer 55062 by checkley75(3666)   on 2007-04-03 10:47:40 (Show Source): You can put this solution on YOUR website!x(x+2)=16 x^2+2x-16=0 using the quadratic equation we get: X=(-2+-SQRT[2^2-4*1*-16])/2*1 X=(-2+-SQRT[4+64])/2 X=(-2+-SQRT68)/2 X=(-2+-8.246)/2 X=(-2+8.246)/2 X=6.246/2 X=3.123 ANSWER FOR THE SHORT SIDE. 3.123+2=5.123 ANSWER FOR THE LONG SIDE. PROOF 3.123*5.123=16 16=16
 Quadratic_Equations/76795: Evaluate , if possible. I have tried to figure this one out but I have not reached and acurate solution. I am acutally not sure if the solution should be 2 or -2. Could you please help me with this? Thanks.1 solutions Answer 55061 by checkley75(3666)   on 2007-04-03 10:41:05 (Show Source): You can put this solution on YOUR website!sqrt-4=2i (i=sqrt-1)
 Linear_Equations_And_Systems_Word_Problems/76809: In May, the jobless rate for teen seeking employment was 4%. By October teh rate was 6%. What is the rate of change? (January = 1) I got .4% per month. 1 solutions Answer 55056 by checkley75(3666)   on 2007-04-03 10:37:25 (Show Source): You can put this solution on YOUR website!2% increase over a 5 month period .02/5=.004=.4% you are correct!!!!!
 Mixture_Word_Problems/76674: A chemist needs 130 milliliters of a 65% solution but has only 56% and 95% solutions available. Find how many millimeters of each that should be mixed to get the desired solution.1 solutions Answer 55017 by checkley75(3666)   on 2007-04-02 16:13:42 (Show Source): You can put this solution on YOUR website!.56X+.95(130-X)=130*.65 .56X+123.5-.95X=84.5 .56X-.95X=84.5-123.5 -.39X=-39 X=-39/-.39 X=100 ML OF 56% SOLUTION IS NEEDED. 130-100=30 ML OF 95% SOLUTION IS NEEDED. PROOF .56*100+.95*30=84.5 56+28.5=84.5 84.5=84.5
 Rectangles/76676: A rectangle has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter. [Perimeter = 2* width + 2*length] 1 solutions Answer 55016 by checkley75(3666)   on 2007-04-02 16:07:27 (Show Source): You can put this solution on YOUR website!2(3X-4)+2(7X+10)=6X-8+14X+20=20X+12=4(5X+3)
 Circles/76708: Hi! I have no idea how to help my son with the following problem. Could you please help us? It is: radius = 3/4 inch. Thank-you!1 solutions Answer 55015 by checkley75(3666)   on 2007-04-02 16:03:49 (Show Source): You can put this solution on YOUR website!I'll assume yopu have a circle with a radius of 4/3 inches. If your looking for the circumferance then: C=2*PI*R C=2*3.14*.75 C=4.71 INCHES. ------------------------ If your looking for the area then: A=PI*R^2 A=3.14*.75^2 A=1.766 INCHES.
 Graphs/76696: Graph y = –3x + 1 y = 3x + 1 1 solutions Answer 55014 by checkley75(3666)   on 2007-04-02 15:59:37 (Show Source): You can put this solution on YOUR website!y=-3x+1 (red line) y=3x+1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = -3x +1 and y = 3x +1).
 Geometric_formulas/76703: A number, half of that number, and one-third of that number are added. The result is 22. What is the original number?1 solutions Answer 55013 by checkley75(3666)   on 2007-04-02 15:56:03 (Show Source): You can put this solution on YOUR website!X+X/2+X/3=22 (6X+3X+2X)/6=22 11X/6=22 NOW CROSS MULTIPLY 11X=132 X=132/11 X=12 PROOF 12+12/2+12/3=22 12+6+4=22 22=22
 Quadratic_Equations/76707: Hi I just want someone to check to see if I did this right. Quadratic equation 4x cubed -36x=0 4x (x squared -9) = 0 4x (x-3)(x+3) = 0 x=3 , x=-3 , and x=0 Is this right? Thanks you 1 solutions Answer 55012 by checkley75(3666)   on 2007-04-02 15:51:39 (Show Source): You can put this solution on YOUR website!LOOKS GOOD TO ME! :)
 Geometric_formulas/76704: 1856Dick and Barbara moved to Ispswich and purchased a home. They paid \$1856 per year to insure their two cars. Dick said it cost \$358 more per year to insure his car than it did to insure Barbara's car. How much didi it cost to insure Dick's car? How much did it cost to insure Barbara's car?1 solutions Answer 55011 by checkley75(3666)   on 2007-04-02 15:49:53 (Show Source): You can put this solution on YOUR website!x+(x+358)=1856 x+x+358=1856 2x=1856-358 2x=1498 x=1498/2 x=749 for the insurance for Barbar's car. 749+358=1107 for Dick's car. proof 749+1107=1856 1856=1856
 Quadratic_Equations/76705: I get so confused with these problems I just don't understand. It says Solve the Quadratic equations by factoring (2x-7)(7x+2)=0 And so how would I go about solving this? turn it into 14x(squared)-45x-14=0??? and then? ugggghh Some one please help me!! Thank you for yout time.1 solutions Answer 55010 by checkley75(3666)   on 2007-04-02 15:45:31 (Show Source): You can put this solution on YOUR website!(2x-7)(7x+2)=0 there are two ways to go: --------------------------------------------------------------- solve each of the factors for x thus: 2x-7=0, 2x=7, x=7/2, x=3.5 answer. 7x+2=0, 7x=2, x=2/7 answer. --------------------------------------------------------------- OR using the FOIL (first, outer, inner, last) multiplication process we get: 14x^2+4x-49x-14=0 14x^2-45x-14=0
 Polynomials-and-rational-expressions/76634: 16x^2-40x-241 solutions Answer 54965 by checkley75(3666)   on 2007-04-01 22:57:59 (Show Source): You can put this solution on YOUR website!16x^2-40x-24=0 4(4x^2-10x-6)=0 (4x+2)(x-3)=0 4x-2=0 4x=-2 x=-2/4 x=-1/2 answer. x-3=0 x=3 answer.
 Radicals/76636: sqrt(63x^15y^9)/sqrt(7xy^11)1 solutions Answer 54964 by checkley75(3666)   on 2007-04-01 22:53:02 (Show Source): You can put this solution on YOUR website!sqrt(63x^15y^9)/sqrt(7xy^11)=3x^7y^4sqrt(7xy)/y^5sqrt(7xy)=3x^7sqrt(7xy)/ysqrt(7xy)
 Radicals/76585: Can you help me simplify (4+8i) * (-9 + i) Thank you1 solutions Answer 54949 by checkley75(3666)   on 2007-04-01 17:38:01 (Show Source): You can put this solution on YOUR website!(4+8i)(-9+i) -36-72i+4i+8 -28-68i -2(14+34i)
 Polynomials-and-rational-expressions/76604: Find the GCF of the product. (3b + 6)(2b – 10) thank you.1 solutions Answer 54948 by checkley75(3666)   on 2007-04-01 17:32:23 (Show Source): You can put this solution on YOUR website!(3B+6)(2B-10) 6B^2+12B-30B-60 6B^2-18B-60 6(B^2-3B-10) 6 BEING THE GCF.
 Linear-systems/76605: my son has missed a week of school due to illness and he needs my help with graphing linear equations by plotting.y=1/2x-3 or another problem is 3x+y=7. I really just to know if i'm telling him right it has been years. Thanks for the help chris1 solutions Answer 54946 by checkley75(3666)   on 2007-04-01 17:29:56 (Show Source): You can put this solution on YOUR website!Y=1/2X-3 IS A LINE WITH A SLOPE OF 1/2 & A Y INTERCEPT OF -3 (RED LINE) -------------------------------------------------------------------- 3X+Y=7 OR Y=-3X+7 THIS LINE HAS A SLOPE OF -3 & A Y INTERCEPT OF 7 (GREEN LINE) ------------------------------------------------------------------------------- (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 -3, y = -3x +7).
 Radicals/76582: Can you help me simplify the square root of (5x^2-y)^2? Thank you1 solutions Answer 54945 by checkley75(3666)   on 2007-04-01 17:19:01 (Show Source): You can put this solution on YOUR website!SQRT(5X^2-Y)^2=5X^2-Y THE SQRT OF A TERM SQUARED IS = TO THE TERM SQRT(5)^2=SQRT(25)=5
 Radicals/76586: Can you help me simplify 2+3i/8i Thank you1 solutions Answer 54944 by checkley75(3666)   on 2007-04-01 17:15:33 (Show Source): You can put this solution on YOUR website!2+3i/8i WE CAN CANCEL OUT THE i FACTORS & WE GET 2+3/8 OR (16+3)/8 OR 19/8
 Signed-numbers/76600: This question is from textbook ALGEBRA i want to now how to add negative with possiteve1 solutions Answer 54941 by checkley75(3666)   on 2007-04-01 17:13:13 (Show Source): You can put this solution on YOUR website!THE SECRET HERE IS TO CALCULATE THE DIFFERENCE BETWEEN TWO NUMBERS & THEN USE THE SIGN OF THE GREATER NUMBER. -6+5=-1 THE DIFFERENCE HERE IS 1 WITH THE LARGER NUMBER (6) BEING - 7-5=2 THE DIFFERENCE IS 2 WITH THE LARGER NUMBER (7) BEING + -11+6=-5 THE DIFFERENCE IS 5 WITH THE GREATER NUMBER (11) BEING -
 Graphs/76601: questions----- Evaluate 2x-3y when x=-5 and y=-4 ?1 solutions Answer 54939 by checkley75(3666)   on 2007-04-01 17:07:42 (Show Source): You can put this solution on YOUR website!2(-5)-3(-4)=-10+12=2
 Exponents-negative-and-fractional/76493: (4x-3)^3/2=81 solutions Answer 54938 by checkley75(3666)   on 2007-04-01 17:03:29 (Show Source): You can put this solution on YOUR website!SQRT(4X-3)^3=8 (4X-3)SQRT(4X-3)=8 DIVIDE BOTH SIDES BY (4X+3) WE GET. SQRT(4X-3)=8/(4X-3) SQUARING BOTH SIDES WE GET. (4X-3)=64/(4X-3)(4X-3) CROSS MULTIPLYING WE GET. (4X-3)^3=64 OR 4X-3=4 OR 4X=4+3 OR 4X=7 OR X=7/4
 Linear-equations/76535: This question is from textbook find the slope and y-intercept of the line whose is equation is given x+8=y 41 solutions Answer 54937 by checkley75(3666)   on 2007-04-01 16:22:03 (Show Source): You can put this solution on YOUR website!(X+8)/4=Y IF THIS IS THE EQUATION - THEN Y=X/4+8/4 Y=X/4+2 THUS THE SLOPE (m)=1/4 & THE Y INTERCEPT (b)=2
 Polynomials-and-rational-expressions/76540: This question is from textbook Elem/Intermed Algebra Rectangle w=x 6x+6 = P Find l1 solutions Answer 54936 by checkley75(3666)   on 2007-04-01 16:14:41 (Show Source): You can put this solution on YOUR website!P=2W+2L or P=2(W+L) P=6X+6 or P=6(X+1) 2(W+L)=6(X+1) GIVEN THAT THE LENGTH IS X THEN WE HAVE 2(X+L)=6(X+1) 2X+2L=6X+6 2L=6X-2X+6 2L=4X+6 L=4X/2+6/2 L=2X+3
 Exponential-and-logarithmic-functions/76543: can some please help me Tthanks in advance . i have to get the factor completely; 1) x^5y^3-3x^4y^2-28x^3y. 2) x^3-2x^2+6x-12 Thanks millon .1 solutions Answer 54935 by checkley75(3666)   on 2007-04-01 15:58:14 (Show Source): You can put this solution on YOUR website!1) x^5y^3-3x^4y^2-28x^3y (x^3y)(x^2y^2-3xy-28)
 Radicals/76547: I need help simplifying the squae root of 28x^2y + the square root of 63x^2y^3. Thank you very much.1 solutions Answer 54933 by checkley75(3666)   on 2007-04-01 15:55:15 (Show Source): You can put this solution on YOUR website!sqrt28x^2y+sqrt63x^2y^3 2x(sqrt7y)+3xy(sqrt7y) x(2+3y)(sqrt7y)
 Quadratic_Equations/76581: u to the 8th power x u to the 3rd power1 solutions Answer 54932 by checkley75(3666)   on 2007-04-01 15:49:18 (Show Source): You can put this solution on YOUR website!u^8*u^3=u^11 when multiplying exponents you need to add the exponents. when raising exponents to a higher power (x^3)^5 you need to multiply the exponents (x^15).
 Radicals/76583: Can you help me write in exponential form: (6 suare root of x)^51 solutions Answer 54931 by checkley75(3666)   on 2007-04-01 15:45:39 (Show Source): You can put this solution on YOUR website!(6sqrtx)^5=(6^5)(sqrtx)^5=7776(x^2)sqrtx
 Numbers_Word_Problems/76589: THE PRODUCT OF TWO CONSECUTIVE POSITIVE EVEN INTEGERS IS 440?1 solutions Answer 54930 by checkley75(3666)   on 2007-04-01 15:41:32 (Show Source): You can put this solution on YOUR website!x*(x+2)=440 x^2+2x-440=0 (x-20)(x+22)=0 x-20=0 x=20 answer. x+2=22 answer. proof 20*22=440 440=440
 Linear-systems/76599: Please find X and Y: 2X + 3Y = 16, 5X - 3Y = 44.1 solutions Answer 54929 by checkley75(3666)   on 2007-04-01 15:38:37 (Show Source): You can put this solution on YOUR website!2x+3y=16 5x-3y=44 now add these two equations. --------------------------------------- 7x=60 x=60/7 answer. now substitute (60/7) for x and solve for y 2*60/7+3y=16 120/7+3y=16 3y=16-120/7 3y=(7*16-120)/7 3y=(112-120)/7 3y=-8/7 y=-8/7*1/3 y=-8/21 answer. proof. 5*60/7-3*-8/21=44 300/7+24/21=44 (300*3+24)/21=44 (900+24)/21=44 924/21=44 44=44
 Polynomials-and-rational-expressions/76590: The diameter of the Milky Way disc is approximately 9 x 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way? thanks1 solutions Answer 54928 by checkley75(3666)   on 2007-04-01 15:29:19 (Show Source): You can put this solution on YOUR website!9*10^20/10^16=9*10^4 years to cross.
 Polynomials-and-rational-expressions/76591: Factor completely. 6b^4 – 18b^3 – 60b^2 thanks1 solutions Answer 54927 by checkley75(3666)   on 2007-04-01 15:26:52 (Show Source): You can put this solution on YOUR website!6b^4-18b^3-60b^2 6b^2(b^2-3b-10) 6b^2(b-5)(b+2)