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# Recent problems solved by 'checkley77'

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 Linear-equations/207948: find the slope and the y intercept of f(x)=-3x-51 solutions Answer 157289 by checkley77(12569)   on 2009-08-22 19:11:16 (Show Source): You can put this solution on YOUR website!Y=mX+b m=slope=-3 b=y intercept=-5 f(x)=-3x-5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x -5).
 Travel_Word_Problems/207950: A certain aircraft can fly 960 miles with the wind in 4 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind?1 solutions Answer 157288 by checkley77(12569)   on 2009-08-22 19:08:09 (Show Source): You can put this solution on YOUR website!D=RT T=D/R 4=960/R 4R=960 R=960/4 R=240MPH WITH THE WIND 6=960/R 6R=960 R=960/6 R=160 MPH AGAINST THE WIND. (240-160)/2=80/2=40 MPH IS THE WIND SPEED. PROOF: 240*4=160*6 960=960
 test/207952: Please solve this formula for the given variable. P=F/A Solve for A. Then, Solve for F. Thanks!1 solutions Answer 157287 by checkley77(12569)   on 2009-08-22 19:02:29 (Show Source): You can put this solution on YOUR website!P=F/A AP=F ANS. A=F/P ANS.
 Graphs/207956: I need help with this question. Solve using either elimination or substitution. If the system has either no solution or an infinite number of solutions, state this. 7x - 2y = 24 5x + 4y = 28 1 solutions Answer 157285 by checkley77(12569)   on 2009-08-22 19:00:06 (Show Source): You can put this solution on YOUR website!7x - 2y = 24 MULTIPLY THIS EQUATION BY 2 & ADD THEM. 5x+4y=28 14X-4Y=48 --------------------- 19X=76 X=76/19 X=4 ANS. 7*4-2Y=24 28-2Y=24 -3Y=24-28 -2Y=-4 Y=-4/-2 Y=2 ANS. PROOF: 5*4+4*2=28 20+8=28 28=28
 Linear_Equations_And_Systems_Word_Problems/207803: if four shirts and five jerseys cost \$370, calculate the cost of a shirt given that the cost of a jersey is \$30.1 solutions Answer 157215 by checkley77(12569)   on 2009-08-21 21:17:12 (Show Source): You can put this solution on YOUR website!4s+5j=370 4s+5*30=370 4s+150=370 4s=370-150 4s=220 s=220/4 s=55 is the price of each shirt.
 Numbers_Word_Problems/207809: You are selling tickets at a high school football game. Student tickets cost \$2 and general admission tickets cost \$3. you sell 1957 tickets and collect \$5035. How many of each ticket did you sell?1 solutions Answer 157213 by checkley77(12569)   on 2009-08-21 21:13:05 (Show Source): You can put this solution on YOUR website!2s+3g=5035 s+g=1957 s=1957-g 2(1957-g)+3g=5035 3914-2g+3g=5035 g=5035-3914 g=1121 general tickets sold. 1957-1121=836 student tickets sold. Proof: 2*836+3*1121=5035 1672+3363=5035 5035=5035
 Linear-equations/207827: x+5y=101 solutions Answer 157211 by checkley77(12569)   on 2009-08-21 21:05:57 (Show Source): You can put this solution on YOUR website!x+5y=10 5y=-x+10 y=-x/5+10/5 y=-x/5+2 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -x/5 +2).
 Linear_Equations_And_Systems_Word_Problems/207838: Solve: -2x > 1/91 solutions Answer 157208 by checkley77(12569)   on 2009-08-21 21:02:07 (Show Source): You can put this solution on YOUR website!-2x > 1/9 x<(1/9)/-2 (note: the > sign changes to the < sign when dividing by a negative value). x<1/9*-1/2 x<-1/18 ans. Proof: Let x=-1/19 -2*-1/19>1/9 2/19>1/9 -.1053>-.1111
 Linear_Equations_And_Systems_Word_Problems/207840: Use the intercepts and graph the equation. x + 4y = 81 solutions Answer 157205 by checkley77(12569)   on 2009-08-21 20:47:24 (Show Source): You can put this solution on YOUR website!x + 4y = 8 4y=-x+8 y=-x/4+8/4 y=-x/4+2 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -x/4 +2).
 Equations/207842: solve system using addition method -4x+y=4 -16x-4y=16 solution (?,?)1 solutions Answer 157204 by checkley77(12569)   on 2009-08-21 20:43:41 (Show Source): You can put this solution on YOUR website!-4x+y=4 multiply by 4 & add -16x-4y=16 -16x+4y=16 -------------------- -32y=32 y=32/-32 y=-1 ans. -4x-1=4 -4x=4+1 -4x=5 x=5/-4 x=-5/4ans. solution (-5/4,-1) Proof: -16*(-5/4)+4*-1=16 80/4-4=16 20-4=16 16=16
 Equations/207844: i do not know what to do on this problem. How much 40% antifreeze solution must be mixed with a 80% antifreeze solution to produce 20 gallons of a 70% disinfectant solution? Round answer to the nearest gallon. ? gallons 40% solution, ? gallons 80% solution1 solutions Answer 157203 by checkley77(12569)   on 2009-08-21 20:33:43 (Show Source): You can put this solution on YOUR website!.40x+.80(20-x)=.70*20 .40x+16-.80x=14 -.40x=14-16 -.40x=-2 x=-2/.40 x=5 gal of 40% antifreeze is used. 20-5=15 gal of 80% anti freeze is used. [5] gallons 40% solution, [15] gallons 80% solution Proof: .4*5+.8*15=.7*20 2+12=14 14=14
 Equations/207843: I think this is linear equations in 2 variables.... 3v+2d=33.07 6v+6d=79.38 v=?,d=?1 solutions Answer 157202 by checkley77(12569)   on 2009-08-21 20:27:28 (Show Source): You can put this solution on YOUR website!3v+2d=33.07 muktiply this equation by -2 & add 6v+6d=79.38 -6v-4d=-66.14 ------------------ 2d=13.24 d=13.24/2 d=6.62 ans. 3v+2*6.62=33.07 3v+13.24=33.07 3v=33.07-13.24 3v=19.83 v=19.83/3 v=6.61 ans. Proof: 6*6.61+6*6.62=79.38 39.66+39.72=79.38 79.38=79.38 ---------------------- v=6.61,d=6.62
 Linear-equations/207765: 2[w-(2w+4)+3]=2(w+1)1 solutions Answer 157148 by checkley77(12569)   on 2009-08-21 09:57:26 (Show Source): You can put this solution on YOUR website!2[w-(2w+4)+3]=2(w+1) 2[w-2w-4+3]=2w+2 2[-w-1]=2w+2 -2w-2=2w+2 -2W-2W=2+2 -4W=4 W=4/-4 W=-1 ANS. PROOF: 2[-1-(2*-1+4)+3]=2(-1+1) 2[-1-(-2+4)+3]=2*0 2[-1-2+3]=0 2[-3+3]=0 2*0=0 0=0
 Expressions-with-variables/207493: 13s+s+7/15s collect like terms, simplify answer type improper fraction1 solutions Answer 157081 by checkley77(12569)   on 2009-08-20 18:21:22 (Show Source): You can put this solution on YOUR website!13s+s+7/15s 13s+s+7s/15 (15*13s+15s+7s/15 (195s+15s+7s)/15 217s/15
 Linear_Equations_And_Systems_Word_Problems/207571: The equation y= -1777x + 27,153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is, x=0 corresponds to 2003, x=6 corresponds to 2006 and so on. Predict the number of gun deaths in 2006 and 2008. In what year will the number of gun deaths be 9383? Gun deaths in 2006 Gun deths in 2008 Predicted number of gun deaths will be 9383 in the year 1 solutions Answer 157078 by checkley77(12569)   on 2009-08-20 18:11:06 (Show Source): You can put this solution on YOUR website!y= -1777x + 27,153 y=-1,777*6+27,153 y=-10,662+27,153 y=16,491 ------------------------ y=-1,777*8+27,153 y=14,216+27,153 y=12,937 --------------------------- 9,383=-1,777x+27,153 1,777x=27,153-9,383 1,777x=17,770 x=17,770/1,777 x=10 or the year 2010 Gun deaths in 2006=16,491 Gun deths in 2008=12,937 Predicted number of gun deaths will be 9383 in the year=2010
 Travel_Word_Problems/207646: Maria drove at a steady speed for 5 hrs. on the turnpike. she then slowed her traveling speed by 15 miles per hour for traveling on secondary roads. the entire trip took 7 hours and covered 369 miles. what was her speed on the turnpike?1 solutions Answer 157073 by checkley77(12569)   on 2009-08-20 17:59:55 (Show Source): You can put this solution on YOUR website!d=rt 369=5x+(7-5)*(x-15) 369=5x+2(x-15) 369=5x+2x-30 369+30=7x 399=7x x=399/7 x=57 mph. for the first 5 hrs. 57-15=42 mph for the last 2 hrs. Proof: 369=5*57+2*42 369=285+84 369
 Age_Word_Problems/207661: x^2-9x=0 I am told to factor Please help i have no idea!1 solutions Answer 157059 by checkley77(12569)   on 2009-08-20 17:40:26 (Show Source): You can put this solution on YOUR website!x^2-9x=0 x(x-9)=0 x=0 ans. x-9=0 x=9 ans.
 Travel_Word_Problems/207655: If a person travels 450 miles in 7 hours, how long will it take them to travel 600 miles?1 solutions Answer 157057 by checkley77(12569)   on 2009-08-20 17:38:26 (Show Source): You can put this solution on YOUR website!450/600=7/x 450x=600*7 450x=4,200 x=4,200/450 x=28/3 or 9 hrs & 20 min. ans.
 Geometry_Word_Problems/207656: Can you answer this: The length of a side of a rectangle is 4 inches more than the width. If the perimeter is 62 inches, what are the dimensions. -Thanks1 solutions Answer 157056 by checkley77(12569)   on 2009-08-20 17:33:40 (Show Source): You can put this solution on YOUR website!2L+2W=PERIMETER L=W+4 2(W+4)+2W=62 2W+8+2W=62 4W=62-8 4W=54 W=54/4 W=13.5 in. IS THE WIDTH. L=13.5+4=17.5 in. IS THE LENGTH. PROOF: 2*17.5+2*13.5=62 35+27=62 62=62
 Trigonometry-basics/207658: This question is from textbook supplementary angles with measures 6x - 4 and 8x - 12 degrees1 solutions Answer 157054 by checkley77(12569)   on 2009-08-20 17:29:44 (Show Source): You can put this solution on YOUR website!(6x - 4)+(8x - 12)=180 14x-16=180 14x=180+16 14x=196 x=196/14 x=14 (6*14-4)=84-4=80 deg for this angle. (8*14-12)=112-12=100 for this angle Proof: 80+100=180
 Rectangles/207657: Find the length of a diagonal of a rectangle with l = 72 feet and w = 30 feet1 solutions Answer 157052 by checkley77(12569)   on 2009-08-20 17:26:10 (Show Source): You can put this solution on YOUR website!What you now have is a right triangle with sides of 72 & 30 ft. Looking for the hypotenuse. a^2+b^2=c^2 72^2+30^2=c^2 5,184+900=c62 c^2=6,084 c=sqrt6,084 c=78 ft. ans. for the diagonal(hypotenuse).
 Divisibility_and_Prime_Numbers/207602: This question is from textbook Fundamentals of math What are the first five multiples of 157?1 solutions Answer 157002 by checkley77(12569)   on 2009-08-20 10:51:24 (Show Source): You can put this solution on YOUR website!157*157=24,649*157=3,869,893*157=607,573,201*157=9.538899256*10^10
 Radicals/207604: Simplify the expression. Assume all variables represent positive real numbers. square root of: ___________ 1 solutions Answer 157001 by checkley77(12569)   on 2009-08-20 10:45:42 (Show Source): You can put this solution on YOUR website!sqrt[g^3h^5/r^3] gh^2(sqrtgh)/r(sqrtr) ans. )
 Square-cubic-other-roots/207520: Simplify the square root of x/x1 solutions Answer 157000 by checkley77(12569)   on 2009-08-20 10:26:14 (Show Source): You can put this solution on YOUR website!sqrtx/x sqrt1=1 ans.
 absolute-value/207558: how do you solve 5-3{2+2w]=-7 and -2{7-3y}-6=-14 Thanks in advance :)1 solutions Answer 156999 by checkley77(12569)   on 2009-08-20 10:23:18 (Show Source): You can put this solution on YOUR website!5-3{2+2w]=-7 5-6-6w=-7 -6w=-7-5+6 -6w=-6 w=-6/-6 w=1 ans. -2{7-3y}-6=-14 -14+6y-6=-14 6y=-14+14+6 6y=6 y=6/6 y=1 ans.
 Problems-with-consecutive-odd-even-integers/207613: 3 consecutive even numbers where the product of the smaller two numbers is 52 less than the square of the largest number.1 solutions Answer 156998 by checkley77(12569)   on 2009-08-20 10:18:50 (Show Source): You can put this solution on YOUR website!Let x, x+1 & x+2 be the three numbers. x(x+1)+52=(x+2)^2 x^2+x+52=x^2+4x+4 x^2-x^2-4x+x=4-52 -3x=-48 x=-48/-3 x=16 ans. for the smallest number 16=1=17 ans. for the middle number 16+2=18 ans. for the largest number Proof 16*17+52=18^2 272+52=324 324=324
 Volume/207586: V=(4/3)3.14(22.86)^31 solutions Answer 156997 by checkley77(12569)   on 2009-08-20 10:10:30 (Show Source): You can put this solution on YOUR website!V=(4/3)3.14(22.86)^3 V=12.56/3*11,946.169 V=150,043.88/3 V=50,014.63 ans.
 Human-and-algebraic-language/207605: use FOIL. Multiply as indicated: (√x − √10)2 1 solutions Answer 156996 by checkley77(12569)   on 2009-08-20 10:05:30 (Show Source): You can put this solution on YOUR website!(√x − √10)^2 sqrtx-sqrt10 sqrtx-sqrt10 ----------------- x-sqrt10x-sqrt10x+10 x-2sqrt10x+10 ans.
 Graphs/207610: A line passes through the points P(4,0) and Q(6,-4). a) Calculate the slope of the line. b) Write the equation of the line in slope-intercept form. 1 solutions Answer 156994 by checkley77(12569)   on 2009-08-20 10:01:53 (Show Source): You can put this solution on YOUR website!Y=mX+b m=slope=(y2-y1)/(x2-x1)=(-4-0)/6-4)=-4/2=-2 is the slope. a)=-2 0=-2*4+b 0=-8+b b=8 is the y intercept. b) Y=-2X+8 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x +8).
 Coordinate-system/207611: 3x + 4y =12 graph the equation on the coordinate system1 solutions Answer 156992 by checkley77(12569)   on 2009-08-20 09:57:15 (Show Source): You can put this solution on YOUR website!3x + 4y =12 4y=-3x+12 y=-3x/4+12/4 y=-3x/4+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/4 +3).
 Linear-equations/207465: i need help with the following problem.. X-4y=4 ( ,-2) (4, )1 solutions Answer 156900 by checkley77(12569)   on 2009-08-19 17:02:48 (Show Source): You can put this solution on YOUR website!X-4y=4 x-4*-2=4 x+8=4 x=4-8 x=-4 (-4,-2) ans. 4-4y=4 -4y=4-4 -4y=0 y=0 (4,0) ans.