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 Trigonometry-basics/550570: Solve the equations for value of x tan mx + cot nx = 0 1 solutions Answer 359094 by mananth(12270)   on 2011-12-29 01:18:51 (Show Source): You can put this solution on YOUR website!The equation is valid if nx = -(pi/2 - mx) = mx - pi/2 (m - n)x = pi/2 x = (pi/2)/(m-n)
 Angles/550788: the degree measure on an angle exceeds 3 times the degree measure of its complement by 32. find the degree measure of the angle.1 solutions Answer 359093 by mananth(12270)   on 2011-12-29 01:13:09 (Show Source): You can put this solution on YOUR website!let the angle be x complement = 90-x x=3(90-x)+32 x=270-3x+32 x+3x= 270+332 4x=270+32 4x=302 /4 x=75.5 degrees
 Angles/550790: the degree measure on an angle exceeds 3 times the degree measure of its complement by 33. find the degree measure of the angle.1 solutions Answer 359092 by mananth(12270)   on 2011-12-29 01:09:49 (Show Source): You can put this solution on YOUR website!let the angle be x complement = 90-x x=3(90-x)+33 x=270-3x+33 x+3x= 270+33 4x=270+33 4x=303 /4 x=75.75 degrees
 Travel_Word_Problems/550791: I can't figure this out and I can't find my notes. Bob rode 3 miles in 2/3 of an hour. Jill rode 3 miles in 2/3 of Bob's time. How much time did it take for Jill to ride 3 miles? Thanks in Advance 1 solutions Answer 359091 by mananth(12270)   on 2011-12-29 01:06:47 (Show Source): You can put this solution on YOUR website!Bob rode 3 miles in 2/3 hours Jill took 2/3 of Bob's time = 2/3 * 2/3 = 4/9 hours Jill toke 4/9 hours for 3 miles
 Percentage-and-ratio-word-problems/550775: A sum of money was to be shared among three persons P, Q & R in the ratios of 2:5:9. If R receives \$2,170 more than P. Calculate (I) the sum of money shared. (II) P's share. (III) % of the total that Q receives.1 solutions Answer 359078 by mananth(12270)   on 2011-12-28 22:38:51 (Show Source): You can put this solution on YOUR website!P;Q:R;: 2:5:9 multiply by common factor x 2x, 5x, 9x 9x-2x=2170 7x=2170 x=310 p= 2*x = 620 Q= 5x=1550 R= 2790 Total = 4960
 Angles/550766: An angle is twice the measure of its complement. Find the measure of both angles.1 solutions Answer 359073 by mananth(12270)   on 2011-12-28 22:15:38 (Show Source): You can put this solution on YOUR website!let angle be x complement = 90-x x=2(90-x) x=180-2x 3x=90 /3 x=30 degree 30 & 60 are the angles
 Linear-equations/550676: Write an equation of the line perpendicular to the line given by 2x +3y =7 and having the same y-intercept as the line given 5x+ 2y =101 solutions Answer 359057 by mananth(12270)   on 2011-12-28 20:31:20 (Show Source): You can put this solution on YOUR website!2x +3y =7 and having the same y-intercept of line 5x+ 2y =10 2y=-5x+10 y=(-5/2)x +5 plug x=0 y=5 y intercept (0,5) 2 x + 3 y = 7 Find the slope of this line 3 y = -2 x + 7 Divide by 3 y = -0.667 x + 2.33 Compare this equation with y=mx+b slope m = -0.67 The slope of a line perpendicular to the above line will be the negative reciprocal 1.5 m1*m2=-1 The slope of the required line will be 3/2 m= 3/2 ,point ( 0 , 5 ) Find b by plugging the values of m & the point in y=mx+b 5 = 0.00 + b b= 5 m= 3/2 The required equation isy = 3/ 2x + 5 m.ananth@hotmail.ca
 Linear-equations/550717: 10x + 5y = 52.5 30x – 7y = 80.51 solutions Answer 359056 by mananth(12270)   on 2011-12-28 20:24:46 (Show Source): You can put this solution on YOUR website!10 x + 5 y = 52.5 .............1 30 x -7 y = 80.5 .............2 Eliminate y multiply (1)by 7 Multiply (2) by 5 70 x 35 y = 367.5 150 x -35 y = 402.5 Add the two equations 220 x = 770 / 220 x = 3.50 plug value of x in (1) 10 x + 5 y = 52.5 35 + 5 y = 52.5 5 y = 52.5 -35 5 y = 17.5 y = 3.50
 test/550758: If 1/2 y divided by 3 =2 , what is the value of y ?1 solutions Answer 359055 by mananth(12270)   on 2011-12-28 20:22:21 (Show Source): You can put this solution on YOUR website!y=6
 Linear-equations/550715: solve the system of equations by graphing then classify the system: y=-x-8 9x-8y=-381 solutions Answer 359054 by mananth(12270)   on 2011-12-28 20:21:31 (Show Source): You can put this solution on YOUR website!1 x + 1 y = -8 .............1 9 x -8 y = -38 .............2 equation1 when x= 0 y= -8 ( 0 , -8 ) when y = 0 x= -8 ( -8 , 0 ) Equation 2 when x= 0 y= 4.75 ( 0 , 4.75 ) when y = 0 x= -4.22 ( -4.22 , 0 ) Solution ( -6,-2)
 Word_Problems_With_Coins/550725: Could you please help me with this question:Christopher Columbus just spent 20 pieces of silver at the Mariner's Mall. He bought a hat, a cape, and a spyglass. The spyglass cost 9 more pieces of silver than the cape. The spyglass and the cape together cost 16 more pieces of silver than the hat. How much did Christopher Columbus pay for his hat?1 solutions Answer 359051 by mananth(12270)   on 2011-12-28 20:04:12 (Show Source): You can put this solution on YOUR website!Let cape cost x spy glass , x+9 Hat = (2x+9-16)=2x-7 x+x+9+2x-7=20 4x+2=20 4x=18 x=4.5--------- cape spy glass ---- 9+4.5 = 13.5 Hat = 2
 Linear-equations/550755: 10x + 7y = -120.5 -20x – 14y = 241 1 solutions Answer 359049 by mananth(12270)   on 2011-12-28 19:56:12 (Show Source): You can put this solution on YOUR website!10 x + 7 y = -120.5 .............1 -20 x -14 y = 241 .............2 Eliminate y multiply (1)by 2 Multiply (2) by 1 20 x 14 y = -241 -20 x -14 y = 241 Add the two equations 0 x = 0 This is absurd so the system has no solution. The lines are parallel
 Mixture_Word_Problems/550733: A chemist is mixing a solution that is 2% acid and another solution that is 8% acid. He needs to make 75 mL of a solution that is 5% acid. How much of each solution should he use? Solve and write a system of equations to model the situation.1 solutions Answer 359048 by mananth(12270)   on 2011-12-28 19:52:54 (Show Source): You can put this solution on YOUR website!percent percentage ---------------- quantity Acid type I 2 ---------------- x ml Acid type II 8 ---------------- 75 - x ml Mixture 5.00% ---------------- 75 2x+8(75-x)=5*75 2x+600-8x= 375 2x-8x=375-600 -6x=-225 /-6 x = 37.5 ml 2.00% Acid type I 37.5 ml 8.00% Acid type II
 Polynomials-and-rational-expressions/550754: Solve for k: M=kn/k+n I know that you have to multiply the denominator then distribute, but then what? 1 solutions Answer 359046 by mananth(12270)   on 2011-12-28 19:48:57 (Show Source): You can put this solution on YOUR website! Multiply by k+n M(k+n)=kn Mk+Mn=kn Mk-kn=-Mn k(M-n)=-Mn k=-Mn(M-n)
 Linear-equations/550740: I need help please!!!! Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this -x + 4y = 0.5 -3x – 6y = 10.51 solutions Answer 359044 by mananth(12270)   on 2011-12-28 19:44:16 (Show Source): You can put this solution on YOUR website!-1 x + 4 y = 0.5 .............1 3 x -6 y = 10.5 .............2 Eliminate y multiply (1)by 3 Multiply (2) by 2 -3 x 12 y = 1.5 6 x -12 y = 21 Add the two equations 3 x = 22.5 / 3 x = 7.50 plug value of x in (1) -1 x + 4 y = 0.5 -7.5 + 4 y = 0.5 4 y = 0.5 + 7.5 4 y = 8 y = 2
 Linear_Equations_And_Systems_Word_Problems/550750: the sum of two number is 44. if the larger number is 2 less than 3 times the smaller number, what are the two numbers?1 solutions Answer 359041 by mananth(12270)   on 2011-12-28 19:40:22 (Show Source): You can put this solution on YOUR website!let numbers be x & y x>y x+y=44 x=3y-2 x-3y=-2 multiply first equation by 3 we get 3x+3y=132 add this to the second equation 4x=130 /4 x=32.5 y=11.5
 Equations/550743: Solve: 0.75x + 0.26 = 2.8851 solutions Answer 359039 by mananth(12270)   on 2011-12-28 19:33:11 (Show Source): You can put this solution on YOUR website!0.75x + 0.26 = 2.885 -0.26 -0.26 0.75x=2.885-0.26 0.75x=2.625 /0.75 x=2.625/0.75 x=3.5
 Equations/550748: What is the slope of a line perpendicular to the line 4x - 3y = 5?1 solutions Answer 359037 by mananth(12270)   on 2011-12-28 19:29:12 (Show Source): You can put this solution on YOUR website!4 x -3 y = 5 Find the slope of this line -3 y = -4 x + 5 Divide by -3 y = 4/3 x -1.67 Compare this equation with y=mx+b slope m = 4/3 m1*m2=-1 The slope of a line perpendicular to the above line will be the negative reciprocal -3/4
 Graphs/550747: CAN SOMEONE PLEASE HELP ME AND SHOW ME HOW TO WORK OUT THESE PROBLEMS.I IF U BREAK IT DOWN FOR ME I WILL UNDERSTAND IT BETTER. SKETCH A GRAPH OF Y=(X/2)-1. INCLUDE THE SLOPE AND BOTH INTERCEPTS. THANK YOU!1 solutions Answer 359036 by mananth(12270)   on 2011-12-28 19:24:44 (Show Source): You can put this solution on YOUR website!Y=(X/2)-1 Y intercept plug x=0 when x= 0 y= -1 ( 0 , -1 ) X intercept plug y=0 when y = 0 x= 2 ( 2 , 0 )
 Average/550624: perform the indicated operation and if possible, simplify. please shoeall of your work. write your final answer exactly as a fraction in lowest terms. 32/85 / 50/511 solutions Answer 358906 by mananth(12270)   on 2011-12-28 10:14:42 (Show Source):
 Travel_Word_Problems/550591: A boat travels 60 miles downstream in The same time it takes to go 36 miles upstream. The speed of The boat in still water is 15 mph greater than The speed of The current. Find The speed of The current.1 solutions Answer 358901 by mananth(12270)   on 2011-12-28 08:47:37 (Show Source): You can put this solution on YOUR website!let speed of current be x speed of boat be y y-x=14..........(1) 60/(y+x)= 36/(y-x) 60(y-x)=36(y+x) /12 5(y-x)=3(y+x) 5y-5x=3y+3x 2y-8x=0 /2 y-4x=0..........(2) multiply (1) by -4 -4y+4x=-56 add this equation to (2) -3y=-56 y=18.66 mph y-x=14 18.66-x=14 x=4.66 mph