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checkley77 answered: 12560 problems
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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-4 1 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 = 4 1 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) Seven 1 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+11 1 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)^4 1 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 thanks 1 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=-9 1 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 please 1 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)^2 1 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.

Quadratic_Equations/271674: Find the following. Assume that variables can represent any real number. sqrt:(a+2)^2=??? PLEASE HELP!!!!! 1 solutions Answer 198846 by checkley77(12569)   on 2010-02-19 09:16:38 (Show Source): You can put this solution on YOUR website! sqrt:(a+2)^2=a+2

Numbers_Word_Problems/271675: Seven times a number added to -7 is 28 1 solutions Answer 198844 by checkley77(12569)   on 2010-02-19 09:11:13 (Show Source): You can put this solution on YOUR website! 7X-7=28 7X=28+7 7X=35 X=35/7 X=5 ANS. PROOF: 7*5-7=28 35-7=28 28=28

test/271684: I need to add the fractions together! 1 solutions Answer 198843 by checkley77(12569)   on 2010-02-19 09:08:48 (Show Source): You can put this solution on YOUR website! (a-1)/(a+1)+(a+1)/(a-1) [(a-1)(a-1)+(a+1)(a+1)]/(a+1)(a-1) [a^2-2a+1+a^2+2a+1]/(a^2-1) [2a^2+2)/(a^2-1) 2(a^2+1)/(a^2-1) ans.

Age_Word_Problems/271686: Michael is 4 years older than Tom. 5 years ago, Michael was twice tom's age? How old is Tom? 1 solutions Answer 198842 by checkley77(12569)   on 2010-02-19 09:02:45 (Show Source): You can put this solution on YOUR website! M=X+4 NOW T=X NOW. 5 YEARS AGO: M=X+4-5 T=X-5 X-1=2(X-5) X-1=2X-10 X-2X=-10+1 -X=-9 X=9 YEARS OLD. FOR TOM NOW. 9+4=13 YEARS FOR MICHAEL NOW. PROOF: 9-1=2(9-5) 8=2*4 8=8

Sequences-and-series/271688: An arithmetic series has 20 terms. The first is -50 and the last term is 83, find the sum of the series 1 solutions Answer 198840 by checkley77(12569)   on 2010-02-19 08:56:25 (Show Source): You can put this solution on YOUR website! SUM=N/2(A+L) WHERE N=NUMBER OF TERMS, A=THE FIRST TERM, L=THE LAST TERM. S=20/2(-50+83) S=10*33 S=330 ANS.

Money_Word_Problems/271685: Piolo invested part of 35,000 in a stock paying 9% interest for 2 yrs and the balance in a stock paying 6% interest for 4 years. It turns out that the two investment earned equal interest. How much was invested at each rate? What is the total interest earned? 1 solutions Answer 198839 by checkley77(12569)   on 2010-02-19 08:48:42 (Show Source): You can put this solution on YOUR website! x(1+.09)^2=(35,000-x)(1+.06)^4 x*1.09^2=(35,000-x)(1.06)^4 x*1.1881=(35,000-x)*1.2625 1.1881x=44187.50-1.2625x 1.1881x+1.2625x=44,187.50 2.4506x=44,187.50 x=44,187.50/2.4506 x=18,031.30 invested @ 9% 35,000-18,031.30=16,968.70 invested @ 6% Proof: 18,031.30*1.09^2=16,968.70*1.06^4 18,031.30*1.1881=16,968.70*1.2625 21,422.98~21,422.98

Travel_Word_Problems/271392: Two jets are traveling toward each other and are 4000km apart. THe rate of one jet is 100km/h faster than the rate of the other. if the jets pass each other after 2.5 hrs., what is the rate of the faster jet? pleaaseee i need help coming up with the equations! 1 solutions Answer 198732 by checkley77(12569)   on 2010-02-18 18:22:18 (Show Source): You can put this solution on YOUR website! D=RT 4,000=(X+X+100)2.5 4,000=(2X+100)2.5 4,000=5X+250 5X=4,000-250 5X=3,750 X=3,750/5 X=750 KMH. SPEED OF THE SLOWER PLANE. 750+100=850 KMH SPEED OF THE FASTER PALNE. PROOF: 4,000=(750+850)2.5 4,000=1,600*2.5 4,000=4,000

Quadratic_Equations/271393: how do i do this?? Help please I dont understand! m(2m-16)=12 1 solutions Answer 198731 by checkley77(12569)   on 2010-02-18 18:17:20 (Show Source): You can put this solution on YOUR website! m(2m-16)=12 2m^2-16m-12=0 2(m^2-8m-6)=0 m=(8+-sqrt[-8^2-4*1*-6])/281 m=(8+-sqrt[64+24])/2 m=(8+-sqrt88)/2 m=(8+-9.38)/2 m=(8+9.38)/2 m=17.38/2 m=8.69 ans. m=(8-9.38)/2 m=-1.38/2 m=-.69 ans.

Polynomials-and-rational-expressions/271394: simplify Expression 7x^2+5x-4x^2+8x 1 solutions Answer 198728 by checkley77(12569)   on 2010-02-18 18:09:19 (Show Source): You can put this solution on YOUR website! 7x^2+5x-4x^2+8x 3X^2+13X X(3X+13) ans.

Linear_Equations_And_Systems_Word_Problems/271396: 2. Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a) Set up an equation for the perimeter involving only L, the length of the rectangle. Answer: b) Solve this equation algebraically to find the length of the rectangle. Find the width as well. Answer: Length _____, Width ______ Show your work here: 1 solutions Answer 198727 by checkley77(12569)   on 2010-02-18 18:04:04 (Show Source): You can put this solution on YOUR website! W=L-3 2W+2L=84 2(L-3)+2L=84 2L-6+2L=84 4L=84+6 4L=90 L=90/4 L=22.5 ANS. FOR THE LWNGTH. W=22.5-3=19.5 ANS. FOR THE WIDTH. PROOF; 2*19.5+2*22.5=84 39+45=84 84=84