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checkley77 answered: 12560 problems
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Pythagorean-theorem/137210: I have a problem with a question. The question is- One of the angles of a triangle measures 45 degrees, another angle of the triangle measures 72 degrees. What is the measure of the third angle of the triangle? HELP! (a.s.a.p. please =]) 1 solutions Answer 100399 by checkley77(12569)   on 2008-04-17 19:53:55 (Show Source): You can put this solution on YOUR website! 45+72+X=180 X=1890-45-72 X=63 THE UNKNOWN ANGLE.

Quadratic_Equations/137215: Solve using the quadratic formula: x^2-3x=-6x-1 1 solutions Answer 100398 by checkley77(12569)   on 2008-04-17 19:50:58 (Show Source): You can put this solution on YOUR website! X^2-3X=-6X-1 X^2-3X+6X+1=0 X^2+3X+1=0 X=(-3+-SQRT[3^2-4*1*1])/2*1 X=(-3+-SQRT[9-4])/2 X=(-3+-SQRT5)/2 X=(-3+-2.236)/2 X=(-3+2.236)/2 X=-.764/2 X=-.382 ANSWER. X=(-3-2.236)/2 X=(-5.236)/2 X=-2.618 ANSWER.

Systems-of-equations/137217: The bill for three glasses of orange juice and 5 pancake specials is 7.60, but the bill for five glases of orange juice and 4 pancake specials is 7.90. What would be the bill for one glass of orange juice and one panckae special? Write a system of equations for the given facts. Solve the system. 1 solutions Answer 100397 by checkley77(12569)   on 2008-04-17 19:41:47 (Show Source): You can put this solution on YOUR website! 3O+5P=7.6 MULTIPLY THIS EQUATION BY 5 5O+4P=7.9 MULTIPLY THIS EQUATION BY -3 & ADD THEM 15O+25P=38 -15O-12P=-23.7 -------------------------- 13P=14.3 P=14.3/13 P=1.10 PRICE OF ONE PANCAKE. 3O+5*1.1=7.6 3O+5.5=7.6 3O=7.6-5.5 3O=2.1 O=2.1/7 O=.30 COST OF ONE ORANGE. 1.10+.30=$1.40 COST OF 1 ORANGE & 1 PANCAKE.

Rate-of-work-word-problems/137212: Arlene and AJ are chemists. AJ can do an emulsion polymerization in 10 hours. If AJ and Arlene work together they can do the experiment in 13 hours. How long will it take Arlene working by herself to do the experiment. AJ= 10 Arlene= x+10 I think the answer is 3 but that's too obvious. 1 solutions Answer 100396 by checkley77(12569)   on 2008-04-17 19:00:30 (Show Source): You can put this solution on YOUR website! SOMETHING IS WRONG WITH THIS PROBLEM. IF AJ CAN DO THE EXPERIMENT IN 10 HOURS THEN WITH ARLENE'S HELP THE TIME MUST BE LESS THAN 10. 13 DOES NOT MEET THE TEST. ------------------------------------------------- ABSOLUTELY THE COMBINED TIME HAS TO BE LESS THAN THE 2 SEPARATE TIMES.

Travel_Word_Problems/137107: Jim and Juan are going to drive their motorcycles from Gastonia to Charleston. Jim leaves at 8:00 am but Juan can not leave until 8:30 am. If Jim drives at 50 mph and Juan drives at 55 mph, at what time will Juan catch up with Jim? 1 solutions Answer 100395 by checkley77(12569)   on 2008-04-17 18:56:26 (Show Source): You can put this solution on YOUR website! 50T=55(T-.5) 50T=55T-27.5 50T-55T=-27.5 -5T=-27.5 T=-27.5/-5 T=5.5 HOURS AFTER 8:00 AM THEY WILL MEET OR @ 1:30 PM.

Money_Word_Problems/137108: Susan wants to prepare 25 lbs. of mixed nuts worth $1.74 per pound by using walnuts valued at $1.30 per lb and cashews valued at $2.30 per lb. How many pounds of each should be used to ensure no change in profit. 1 solutions Answer 100394 by checkley77(12569)   on 2008-04-17 18:52:36 (Show Source): You can put this solution on YOUR website! 25*1.74=2.30X+1.30(25-X) 43.50=2.30X+32.50-1.30X 43.50-32.50=2.30X-1.30X 11=X POUNDS OF 2.30 CASHEWS. 25-11=14 POUNDS OF WALNUTS. PROOF 25*1.74=2.3*11+1.3*14 43.50=25.3+18.2 43.50=43.50

Travel_Word_Problems/137109: John drove to a distant city in 5 hours, when he returned, there was less traffic, and the trip took only 3hrs. If John drove 26 mph faster on the return trip, how fast did he drive each way? 1 solutions Answer 100393 by checkley77(12569)   on 2008-04-17 18:48:00 (Show Source): You can put this solution on YOUR website! 5X=3(X+26) 5X=3X+78 5X-3X=78 2X=78 X=78/2 X=39 MPH FOR THE FIRST TRIP 39+26=65 MPH FOR THE RETURN TRIP PROOF: 5*39=3*65 195=195 MILEAGE DRIVEN.

Money_Word_Problems/137110: A man invests part of $6,000 at 4% interest and the rest at 3% interest. His total annual income is $225. How much has he invested at each rate? 1 solutions Answer 100392 by checkley77(12569)   on 2008-04-17 18:43:41 (Show Source): You can put this solution on YOUR website! .04X+.03(6,000-X)=225 .04X+180-.03X=225 .01X=225-180 .01X=45 X=4500 AMOUNT INVWESTED @ 4% 6000-4500=1500 INVESTED @ 3% PROOF: .04*4500+.03*1500=225 180+135=225 225=225

Money_Word_Problems/137111: A sweater is on sale for $25.42. The sale price represents a 15% discount. Find the original price of the sweater and the amount saved during the sale. 1 solutions Answer 100391 by checkley77(12569)   on 2008-04-17 18:40:13 (Show Source): You can put this solution on YOUR website! 25.42=.85X X=25.42/.85 X=29.91 IS THE ORIGINAL PRICE. 29.91-25.42=4.48 AMOUNT OF THE SAVINGS.

Functions/137115: Find the x intercepts of f(x)=x^2+4x-21 a.-3,0 and 7,0 b.-7,0 and 3,0 c.0,-3 and 0,7 d.-11,0 and 10,0 1 solutions Answer 100390 by checkley77(12569)   on 2008-04-17 18:35:49 (Show Source): You can put this solution on YOUR website! f(x)=x^2+4x-21 (graph 300x200 pixels, x from -10 to 5, y from -25 to 10, x^2 +4x -21). ANSWER B)-7 & 3

Equations/137121: solve the equations by factoring. 20x to the 2nd power + 33x + 10 = 0 1 solutions Answer 100389 by checkley77(12569)   on 2008-04-17 18:32:09 (Show Source): You can put this solution on YOUR website! 20x^2+33x+10=0 (5x+2)(4x+5)=0 5x+2=0 5x=-2 x=-2/5 answer. 4x+5=0 4x=-5 x=-5/4 anwer.

Equations/137129: Solve the equation using the quadratic formula x squared - 10x + 34 =0 1 solutions Answer 100388 by checkley77(12569)   on 2008-04-17 18:28:27 (Show Source): You can put this solution on YOUR website! x^2-10x+34=0 x=(10+-sqrt[-10^2-4*1*34])/2*1 x=(10+-sqrt[100-136])/2 x=(10+-sqrt-36)/2 x=(10+-6i)/2 x=5+-6i/2 x=5+-3i answers.

Equations/137132: Solve the eqaution by the squared root property. (4x+4) squared = 64 1 solutions Answer 100387 by checkley77(12569)   on 2008-04-17 18:24:13 (Show Source): You can put this solution on YOUR website! (4x+4)^2=64 4x+4=8 4x=8-4 4x=4 x=1 answer. proof (4*1+4)^2=64 (4+4)^2=64 8^2=64 64=64

Quadratic_Equations/137154: Please help! y=x^2-6x+4 1 solutions Answer 100386 by checkley77(12569)   on 2008-04-17 18:21:34 (Show Source): You can put this solution on YOUR website! y=x^2-6x+4 (graph 300x200 pixels, x from -6 to 12, y from -10 to 10, x^2 -6x +4).

Triangles/137144: A trianglehas an area of 39cm^2. The base is 7 cm shorter than the height. Find the base and height. 1 solutions Answer 100385 by checkley77(12569)   on 2008-04-17 18:18:35 (Show Source): You can put this solution on YOUR website! BH/2=AREA (H-7)H/2=39 (H^2-7H)/2=39 H^2-7H=78 H^2-7H-78=0 (H-13)(H+6)=0 H-13=0 H=13 ANSWER. B=13-7=6 ANSWER. PROOF: 13*6/2=38 78/2=38 38=38

Quadratic_Equations/137184: solve using the square root property: 2x^2-5=93 1 solutions Answer 100384 by checkley77(12569)   on 2008-04-17 18:04:59 (Show Source): You can put this solution on YOUR website! 2X^2-5=93 2X^2=93+5 2X^2=98 X^2=98/2 X^2=49 X=SQRT49 X=7 ANSWER.

Probability-and-statistics/137196: This question is from textbook Fundmentals of Alegebraic Modeling The odds of John wnning a marathon are 4:11. What is the probability that John will win his next race? 1 solutions Answer 100383 by checkley77(12569)   on 2008-04-17 18:02:19 (Show Source): You can put this solution on YOUR website! 4/11=.364 OR 36.4%.

percentage/137197: This question is from textbook Harcourt Math i need to find the simple interest prinipal: $21,ooo rate:5.25% time: 18 years thanks for helping 1 solutions Answer 100381 by checkley77(12569)   on 2008-04-17 18:01:22 (Show Source): You can put this solution on YOUR website! 21,000(1+.0525)^18 21,000(1.0525)^18 21000*2.5119 $52,749.36 TOTAL AMOUNT AFTER 18 YEARS.

Coordinate-system/137198: using the distance formula how would u find a in the following problem (-4,1)(a,8);d=square root of 50 1 solutions Answer 100380 by checkley77(12569)   on 2008-04-17 17:56:34 (Show Source): You can put this solution on YOUR website! X DISTANCE=A+4 Y DISTANCE=8-1=7 (A+4)^2+7^2=SQRT50^2 A^2+8A+16+49=50 A^2+8X+65-50=0 A^2+8X+15=0 (A+5)(A+3)=0 A+5=0 A=-5 ANSWER A+3=0 A=-3 ANSWWER

Linear-systems/137178: This question is from textbook Could you please solve this problem by addition method? x+y=13 22x+36y=356 Thank you. 1 solutions Answer 100371 by checkley77(12569)   on 2008-04-17 16:28:44 (Show Source): You can put this solution on YOUR website! JUST A COMMENT ON NOT KNOWING IF YOU HAVE THE CORRECT ANSWER. ASSUMING (?) YOU HAVE THE CORRECT FORMULA, WHICH IS THE DIFFICULT PART WHEN SOLVING WORK PROBLEMS, THEN DOING THE PROOF BY REPLACING THE UNKNOWN(S) WITH THE ANSWER WILL HELP A LOT. --------------------------------------------------------------------- x+y=13 multiply this equation by -22 & add. 22x+36y=356 -22x-22y=-286 ----------------------- 0+14y=70 y=70/14 y=5 answer. x+5=13 x=13-5 x=8 answer. proof: 22*8+36*5=356 176+180=356 356=356

Quadratic_Equations/137155: Can someone solve this! Thanks! y=X^2+3x+1 1 solutions Answer 100370 by checkley77(12569)   on 2008-04-17 16:18:31 (Show Source): You can put this solution on YOUR website! y=X^2+3x+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 +3x +1).

Age_Word_Problems/137173: Jack is 15 years old, and his sister, Jane is 5 years old. In how many years will jack be twice as old as Jane? 1 solutions Answer 100368 by checkley77(12569)   on 2008-04-17 16:14:34 (Show Source): You can put this solution on YOUR website! Jack=15 Jane=5 15+x=2(5+x) 15+x=10+2x x-2x=10-15 -x=-5 x=5 years from now Jack will be twice as old as Jane. proof: 15+5=2(5+5) 20=2*10 20=20

Linear-systems/137094: what is y=3/2x-5 - Please help?!?!? 1 solutions Answer 100323 by checkley77(12569)   on 2008-04-17 09:22:14 (Show Source): You can put this solution on YOUR website! USING THE LINE EQUATION: Y-mX+b YOU HAVE A LINE WITH A SLOPE (m)=3/2 & A Y INTERCEPT (b)=-5 y=3/2x-5 THIS FORMULA DESCRIBES THE FOLLOWING LINE: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x/2 -5).

logarithm/137104: I need help with using the elimination method to solve 5/x + 2/y = 0 6/x + 4/y = 3 I know you have to do something with U's and V's but i'm totally lost 1 solutions Answer 100322 by checkley77(12569)   on 2008-04-17 09:18:17 (Show Source): You can put this solution on YOUR website! 5/x + 2/y = 0 multiply this equation by -2 & add them. 6/x + 4/y = 3 -10/x-4/y=0 --------------------- -4/x=3 3x=-4 x=-4/3 answer. 6/(-4/3)+4/y=3 6*-3/4+4/y=3 -18/4+4/y=3 4/y=3+18/4 4/y=(12+18)/4 4/y=30/4 30y=16 y=16/30 y=8/15 answer. proof: 5/(-4/3)+2/(8/15)=0 5*-3/4+2*15/8=0 -15/4+30/8=0 -15/4+15/4=0 0=0

Quadratic_Equations/137027: Please solve? Y=X^2-6X+9 1 solutions Answer 100306 by checkley77(12569)   on 2008-04-16 22:47:17 (Show Source): You can put this solution on YOUR website! y=x^2-6x+9 y=(x-3)^2 answer.

Quadratic_Equations/137034: Please solve. Thanks! 1.)y=(x+3)^2 2.)y=(x-4)^2 1 solutions Answer 100305 by checkley77(12569)   on 2008-04-16 22:45:40 (Show Source): You can put this solution on YOUR website! y=(x+3)^2 y=x^2+6x+9 ------------------ y=(x-4)^2 y=x^2-8x+16 setting these 2 equation equal we get: ----------------- x^2+6x+9=x^2-8x+16 x^2-x^2+6x+8x=16-9 14x=7 x=7/14 x=1/2 answer. y=(1/2+3)^2 y=3.5^2 y=12.25 answer. y=(1/2-4)^2 y=-3.5^2 y=12.25 answer.

Quadratic_Equations/137035: Please solve. Thanks! 1.)y=(x+3)^2 2.)y=(x-4)^2 1 solutions Answer 100304 by checkley77(12569)   on 2008-04-16 22:43:52 (Show Source): You can put this solution on YOUR website! y=(x+3)^2 y=x^2+6x+9 ------------------ y=(x-4)^2 y=x^2-8x+16 setting these 2 equation equal we get: ----------------- x^2+6x+9=x^2-8x+16 x^2-x^2+6x+8x=16-9 14x=7 x=7/14 x=1/2 answer. y=(1/2+3)^2 y=3.5^2 y=12.25 answer. y=(1/2-4)^2 y=-3.5^2 y=12.25 answer.

Graphs/137041: This question is from textbook Algebra 1 How do I find the equation of the line that contains the points (2,3) and (4,7)? 1 solutions Answer 100301 by checkley77(12569)   on 2008-04-16 22:36:46 (Show Source): You can put this solution on YOUR website! (2,3) and (4,7) SLOPE=(7-3)/(4-2)=4/2=2 Y=mX+b 3=2*2+b 3=4+b 3-4=b b=-1 THUS THE LINE EQUATION IS: Y=2X-1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x -1 ).

Numbers_Word_Problems/137063: The sum of three consecutive even numbers is 150. 1 solutions Answer 100298 by checkley77(12569)   on 2008-04-16 22:25:48 (Show Source): You can put this solution on YOUR website! LET X, X+2 & X+4 BE THE 3 NUMBERS. X+X+2+X+4=150 3X+6=150 3X=150-6 3X=144 X=144/3 X=48 THE FIRST NUMBER. 48=2=50 THE SECOND NUMBER. 48=4=52 THE LAST NUMBER. PROOF 48+50+52=150 150=150

Coordinate-system/136878: What is the distance between (6,-1)and (-3,7)? 1 solutions Answer 100271 by checkley77(12569)   on 2008-04-16 18:34:32 (Show Source): You can put this solution on YOUR website! distance between (6,-1)and (-3,7)is: for the x distance we have 6+3=9 for the y distance we have 7+1=8 thus we have a right triangle with 2 sides of 9 & 8 & we're looking for the hypotenuse using: [a^2+b^2=c^2]. 8^2+9^2=h^2 64+81=h^2 145=h^2 h=sqrt145 h=12.0416 is the distance between these 2 points.

Coordinate-system/136879: What is the distance between (6,-1)and (-3,7)? 1 solutions Answer 100270 by checkley77(12569)   on 2008-04-16 18:33:25 (Show Source): You can put this solution on YOUR website! distance between (6,-1)and (-3,7)is: for the x distance we have 6+3=9 for the y distance we have 7+1=8 thus we have a right triangle with 2 sides of 9 & 8 & we're looking for the hypotenuse using: [a^2+b^2=c^2]. 8^2+9^2=h^2 64+81=h^2 145=h^2 h=sqrt145 h=12.0416 is the distance between these 2 points.