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# Recent problems solved by 'checkley77'

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 Graphs/272050: Write an equation in slope intercept form of the line satisfying the given conditions. The line passes through (-4, -7) and is parallel to the line whose equation is 6x + y + 8.1 solutions Answer 199077 by checkley77(12569)   on 2010-02-20 17:18:38 (Show Source): You can put this solution on YOUR website!Y=mX+b is the line equation where m=slope & b= the Y intercept. The line through (-4, -7) & parallel to 6x + y + 8 y=-6x+8 this line has a slope=-6 The parallel line will also have a slope=-6: -7=-6*-4+b -7=24+b b=-7-24 b=-31 the y intercept. Y=-6X-31 is this lines equation. (graph 300x200 pixels, x from -6 to 5, y from -35 to 10, -6x -31).
 Polynomials-and-rational-expressions/272051: Divide and simplify. (c/f^2)/(c^2/f^3)1 solutions Answer 199076 by checkley77(12569)   on 2010-02-20 17:10:30 (Show Source): You can put this solution on YOUR website!(c/f^2)/(c^2/f^3) (c/f^2)(f^3/c^3) cf^3/c^3f^2 f/c^2 ans.
 Graphs/272053: how do I graph y=-1/3x-41 solutions Answer 199073 by checkley77(12569)   on 2010-02-20 16:43:29 (Show Source): You can put this solution on YOUR website! y=-1/3x-4 Y=mX+b where m=slope & b=the Y intercept. You already have the y intercept (0,-4). Now set y=0 and solve for the x intercept. 0=-x/3-4 -x/3=4 -x=12 x=-12 or (-12,0) Plot these 2 points (0,-4) & (-12,0) & draw a line through them. (graph 300x200 pixels, x from -16 to 5, y from -10 to 10, -x/3 -4).
 Linear-systems/272054: (2,4),(x,8)m=-2 how do you find x or y? 1 solutions Answer 199072 by checkley77(12569)   on 2010-02-20 16:36:38 (Show Source): You can put this solution on YOUR website!m=(y2-y1)/(x2-x1) (2,4),(x,8)m=-2 -2=(8-4)/(x-2) -2=4/(x-2) cross multiply -2(x-2)=4 -2x+4=4 -2x=4-4 -2x=0 x=0 (2,4),(0,8) ans. 4=-2*2+b 4=-4+b b=4+4+8 the Y intercept. y=-2x+8 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x +8)
 expressions/272059: how do i simplify this expressionn 6x-5x+x-3+2x?1 solutions Answer 199070 by checkley77(12569)   on 2010-02-20 16:28:26 (Show Source): You can put this solution on YOUR website!Combine the x terms. 6x-5x+x-3+2x 9x-5x-3 4x-3 ans.
 Linear-systems/272064: Please solve this using the substitution method. x = 3y - 5 6x - 18y = -30 1 solutions Answer 199069 by checkley77(12569)   on 2010-02-20 16:26:08 (Show Source): You can put this solution on YOUR website!x = 3y - 5 6x - 18y = -30 6(3y-5)-18y=-30 18y-30-18y=-30 0y=-30+30 0y=0 There is no unique solution to these 2 equations for the x & y terms. The 2 equations are identical. Should you plot these 2 equations, you'd find that they form a single line which has an infinite number of solutions for x & y.
 Linear-systems/272065: Please solve this using the elimination method. 9x + 2y = 2 21x + 6y = 41 solutions Answer 199068 by checkley77(12569)   on 2010-02-20 16:19:15 (Show Source): You can put this solution on YOUR website!9x+2y=2 multiply by -3 & add. 21x+6y=4 -27x-6y=-6 --------------- -6x=-2 x=-2/-6 x=1/3 ans. 9*1/3+2y=2 3+2y=2 2y=2-3 2y=-1 y=-1/2 ans. Proof: 21*1/3+6*-1/2=4 7-3=4 4=4
 Linear-systems/272066: Please solve this using the elimination method. 2x + 3y = 2 -28 = 4x - 2y 1 solutions Answer 199067 by checkley77(12569)   on 2010-02-20 16:08:30 (Show Source): You can put this solution on YOUR website!2x+3y=2 multiply by 2 & add. -4x+2y=28 4x+6y=4 ---------------- 8y=32 y=32/8 y=4 ans. 2x+3*4=2 2x+12=2 2x=2-12 2x=-10 x=-10/2 x=-5 ans. Proof: -4*-5+2*4=28 20+8=28 28=28
 Geometry_Word_Problems/271927: How many square tiles measuring 9 inches each side will be required to cover the floor of a rectangle room whose length is 16 yards and width is 12 yards ? (assume that one layer of tiles will be required to cover the floor) a 112 b 2 c 21 d 192 e 3072 1 solutions Answer 199057 by checkley77(12569)   on 2010-02-20 11:05:26 (Show Source): You can put this solution on YOUR website!9IN BY 9IN=1/4*1/4=1/16 OF A YARD^2 FOR EACH TILE. 16*12=192 YDS^2 192/(1/16) 192*16/1=3,072 TILES ARE REQUIRED TO COVER THE ROOM. ANSWER E) 3,072.
 Average/271940: The weights (in pounds) of packages loaded on a truck are 27, 15, 12, 18, 25, 31, 30, 29, and 18 what is the median weight of the packages? A 18 b 22.78 c 25 d 27 e 31 1 solutions Answer 199056 by checkley77(12569)   on 2010-02-20 11:00:23 (Show Source): You can put this solution on YOUR website! 27, 15, 12, 18, 25, 31, 30, 29, 18 ARRANGE THESE VALUE FROM SMALLEST TO LARGEST. 12,15,18,18,[25],27,29,30,35 MEDIAN IS THE MIDDLE NUMBER. ANSWER = C)25
 Percentage-and-ratio-word-problems/271943: Henry purchased 60 T-shirts paying \$ 1.10 for each. He sold 20 of them for \$ 2.50 each and 10 of them for \$2.10 each and 30 of them for \$1.50 each. What was the average profit did he make per shirt? A \$0.08 b \$1.00 c \$0.83 d \$1.16 e \$1.93 1 solutions Answer 199054 by checkley77(12569)   on 2010-02-20 10:52:31 (Show Source): You can put this solution on YOUR website!60*1.10=\$66 PRICE PAID FOR THE 60 T-SHIRTS. 20*2.50+10*2.10+30*1.50 50+21+45=\$116 EARNRD FROM THE SALE. (116-66)/60 50/60=.83 OR \$.83 PROFIT PER T-SHIRT SALE.
 Equations/271944: 3 white boxes and 4 blue boxes weigh 36 pounds.4 white boxes and 3 blue boxes weigh 34 pounds . what is the weight of one white box and one blue box ? a 4 b 6 c 10 d 12 e 24 1 solutions Answer 199049 by checkley77(12569)   on 2010-02-20 10:42:53 (Show Source): You can put this solution on YOUR website!3W+4B=36 MULTIPLY BY 4 4W+3B=34 MULTIPLY BY -3 & ADD 12W+16B=144 -12W-9B=-102 ------------------ 7B=42 B=42/7 B=6 POUNDS FOR EACH BLUE BOX. 3W+4*6=36 3W+24=36 3W=36-24 3W=12 W=12/3 W=4 POUNDS FOR EACH WHITE BOX. 6+4=10 POUNDS FOR ONE OF EACH. PROOF: 4*4+3*6=34 16+18=34 34=34 ANSWER: C).
 Graphs/271949: For how many ordered pairs of positive integers (x, y) is 2x + 3y < 6? (A) One (B) Two (C) Three (D) Five (E) Seven1 solutions Answer 199046 by checkley77(12569)   on 2010-02-20 10:34:12 (Show Source): You can put this solution on YOUR website!2x+3y<6 ----------------- 2*0+3*0<6 or 0+0<6 or 0<6 2*0+3*1<6 or 0+3<6 or 3<6 2*1+3*0<6 or 2+0<6 or 2<6 2*1+3*1<6 or 2+3<6 or 5<6 2*2+3*0<6 or 4+0<6 or 4<6 Answer a) Five.
 Inequalities/271967: 22x-5-15x+3=10x-4-3x+111 solutions Answer 199042 by checkley77(12569)   on 2010-02-20 10:24:27 (Show Source): You can put this solution on YOUR website!22x-5-15x+3=10x-4-3x+11 22x-15x-10x+3x=-4+11+5-3 0x=9 No solution for x.
 Sequences-and-series/271971: Use binomial expansion to expand the following (2x-3y)^41 solutions Answer 199038 by checkley77(12569)   on 2010-02-20 10:19:37 (Show Source): You can put this solution on YOUR website!(2x-3y)^4 2x-3y 2x-3y -------------- 4x^2-12xy+9y^2 2x-3y ------------------ 8x^3-24x^2y+18xy^2-12x^2y+36xy^2-27y^3 8x^3-36x^2y+54xy^2-27y^3 2x-3y ---------------------------------- 16x^4-72x^3y+108x^2y^2-54xy^3-24x^3y+108x^2y^2-162xy^3+81y^4 16x^4-126x^3y+216x^2y^2-216xy^3+81y^4 ans.
 Polynomials-and-rational-expressions/271978: can you show me step by step how to do this one: Find the GCF of the set of monomials. 36x3y2z, 60xyz2 1 solutions Answer 199033 by checkley77(12569)   on 2010-02-20 10:10:10 (Show Source): You can put this solution on YOUR website!36x^3y^2z, 60xyz^2 Factors of 36 are: 1,2,3,4,6,9,[12],18,36 Factors of 60 are: 1,2,3,4,5,6,10,[12],15,20,30,60 12 is the greatest common factor of these integers. x is the common factor. y is the common factor z is the common factor 12xyz(x^2y), 12xyz(5z) ans.
 Polynomials-and-rational-expressions/271979: Factor the expression, if possible. Otherwise, enter PRIME. 91m3n2 - 92x2y 1 solutions Answer 199030 by checkley77(12569)   on 2010-02-20 10:02:46 (Show Source): You can put this solution on YOUR website!91m^3n^2 - 92x^2y PRIME.
 Polynomials-and-rational-expressions/271981: Factor the expression, if possible. Otherwise, enter PRIME. 40t6 - 32t3 + 84t2 thanks1 solutions Answer 199027 by checkley77(12569)   on 2010-02-20 10:00:11 (Show Source): You can put this solution on YOUR website!40t6 - 32t3 + 84t2 4t^2(10t^4-8t+21) ans.
 Linear-systems/271657: 3x+5y=-6, 3x-15/2y=-91 solutions Answer 198855 by checkley77(12569)   on 2010-02-19 09:38:56 (Show Source): You can put this solution on YOUR website!3x+5y=-6 5y=-3x-6 y=-3x/5-6/5 (red line). 3x-15/2y=-9 -15/2y=-3x-9 y=-3x/(-15/2)-9/(-15/2) y=3x*2/15+9*2/15 y=6x/15+18/15 y=2x/5+6/5 (green line). (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -3x/5 -6/5 and 2x/5 +6/5).
 Distributive-associative-commutative-properties/271658: Can you please help me understand the FOIL math system? I need to answer questions like this:(y-6)*(y-4) I just don't understand. help please1 solutions Answer 198852 by checkley77(12569)   on 2010-02-19 09:28:32 (Show Source): You can put this solution on YOUR website!First, Outer, Inner, Last items are multiplied. (y-6)(y-4) y*y=y^2 -4y -6y -6*-4=24 now combine like terms. y^2-4y-6y+24 y^2-10y+24 ans.
 Radicals/271669: simplify by removing factors of 1 n^2-49/(n+7)^21 solutions Answer 198849 by checkley77(12569)   on 2010-02-19 09:20:26 (Show Source): You can put this solution on YOUR website!n^2-49/(n+7)^2 (n+7)(n-7)/(n+7)(n+7) cancel out one set of (n+7) terms. (n-7)/(n+7) ans.