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# Recent problems solved by 'checkley71'

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 Mixture_Word_Problems/117351: How much of a 80% alcohol solution must be mixed with 60 gallons of a 24% alcohol solution to obtain a solution that is 70% alcohol?1 solutions Answer 85379 by checkley71(8403)   on 2007-12-17 19:14:54 (Show Source): You can put this solution on YOUR website!.8x+.24*60=.7(x+60) .8x+14.4=.7x+42 .8x-.7x=42-14.4 .1x=27.6 x=27.6/.1 x=276 gallons of 80% alcohol is required. proof .8*276+14.4=.7(276+60) 220.8+14.4=.7*336 235.2=235.2
 Parallelograms/117370: This question is from textbook seven of the angles of an octagon have measures of 90 degrees, 105 degrees, 125 degrees, 130 degrees, 150 degrees, 155 degrees, and 165 degrees. how do you find the measure of the 8th angle? 1 solutions Answer 85378 by checkley71(8403)   on 2007-12-17 19:06:33 (Show Source): You can put this solution on YOUR website!the sum of all interior angles of an 8 sided figure is: 180(8-2) 180*6 1080 what you have are 7 of these angles which total: 90+105+125+130+150+155+165=920 so the missing angle must be: 1080-920=160 degrees.
 Parallelograms/117368: Find the measure of one of the interior angles of a regular polygon with twelve sides. Thanks! 1 solutions Answer 85377 by checkley71(8403)   on 2007-12-17 19:02:19 (Show Source): You can put this solution on YOUR website!the formula for this is: t=180(12-2) t=the total of all 12 angles t=180*10 t=1800 seeing as there are 12 angles we have 1800/12=150 degrees is the measurement of all interior angles.
 Rational-functions/117333: will you please solve this problem it will be greatly appreciated solve: (x)/(x-2)= 7/51 solutions Answer 85362 by checkley71(8403)   on 2007-12-17 16:17:21 (Show Source): You can put this solution on YOUR website!X/(X-2)=7/5 CROSS MULTIPLY 7(X-2)=5X 7X-14=5X 7X-5X=14 2X=-14 X=-14/2 X=-7 ANSWER. PROOF 7/(7-2)=7/5 7/5=7/5
 Equations/117336: 4 1/3 divided by (-2 1/4)1 solutions Answer 85358 by checkley71(8403)   on 2007-12-17 16:13:11 (Show Source): You can put this solution on YOUR website!(4 1/3)/(-2 1/4) (13/3)/(-9/4) NOW INVERT THE DENOMINATOR & MULTIPLY. 13/3*-4/9 -52/27 ANSWER.
 test/117332: will you please solve this problem solve: (9)/(m-5)<31 solutions Answer 85357 by checkley71(8403)   on 2007-12-17 16:09:48 (Show Source): You can put this solution on YOUR website!9/(M-5)<3 CROSS MULTIPLY 3(M-5)>9 3M-15>9 3M>9+15 3M>24 M>24/3 M>8 ANSWER. PROOF: LET M=8.1 9/(8.1-5)<3 9/3.1<3 2.9<3
 Polynomials-and-rational-expressions/117237: Factor. 12x^4y^3 + 16x^3y^3 – 20x^3y^4 i think i got this but want to make sure. 1 solutions Answer 85355 by checkley71(8403)   on 2007-12-17 16:04:05 (Show Source): You can put this solution on YOUR website!12X^4Y^3+16X^3Y^3-20X^3Y^4 4X^3Y^3(4X+4-5Y) ANSWER.
 Equations/117323: Divide. 3 '/' 12 -- --- x^5 x^21 solutions Answer 85352 by checkley71(8403)   on 2007-12-17 15:39:48 (Show Source): You can put this solution on YOUR website!(3/X^5)/(12/X^2) NOW INVERT THE DENOMINATOR & MULTIPLY. (3/X^5)(X^2/12) 3X^2/12X^5 1/4X^3 ANSWER.
 Polynomials-and-rational-expressions/117143: Simplify the expression. Write the reslut using positive exponents only. 5^-7x^-3y^2 ____________ 5^-4x^-6y^41 solutions Answer 85351 by checkley71(8403)   on 2007-12-17 15:17:36 (Show Source): You can put this solution on YOUR website!5^-7/5^-4=5^(-7+4)=5^-3=1/5^3 X^-3/X^-6=X^(-3+6)=X^3 Y^2/Y^4=Y^(2-4)=Y^-2=1/Y^2 COMBINING THESE ELEMENTS WE HAVE: X^3/5^3Y^2 OR X^3/125Y^2 ANSWER.
 Linear-equations/117320: Hello I really need some help with this math problem it deal with Coordinate Geometry: Linear Equations in Two Variables. What is the equation of the line that contains the points with (x,y) coordinates (-3,7) and (5,-1) ? I don't have clue how to set this type of problem up, please help. thanks 1 solutions Answer 85349 by checkley71(8403)   on 2007-12-17 15:06:44 (Show Source): You can put this solution on YOUR website!FIRST YOU NEED TO FIND THE SLOPE: SLOPE=(Y2-Y1)/(X2-X1) SLOPE=(-1-7)/(5+3) SLOPE=-8/8 SLOPE=-1 USING THE SLOPE (m) AND A SET OF (X,Y) VALUES IN THE LINE EQUATION Y=mX+b SOLVE FOR (b), THE Y INTERCEPT. 7=-1*-3+b 7=3+b b=7-3 b=4 THUS THE EQUATION IS: Y=-X+4
 Quadratic_Equations/117290: Find two consecutive positive intergers such that the sum of their square is 85. 1 solutions Answer 85320 by checkley71(8403)   on 2007-12-17 09:58:46 (Show Source): You can put this solution on YOUR website!X^2+(X+1)^2=85 X^2+X^2+2X+1=85 2X^2+2X+1-85=0 2X^2+2X-84=0 2(X^2+X-42) 2(X+7)(X-6)=0 X+7=0 X=-7 ANSWER. X-6=0 X=6 ANSWER. PROOF 6^2+7^2=85 36+49=85 85=85
 Polynomials-and-rational-expressions/117145: y2+11y=281 solutions Answer 85319 by checkley71(8403)   on 2007-12-17 09:54:23 (Show Source): You can put this solution on YOUR website!Y^2+11Y=28 Y^2+11Y-28=0 USING THE QUADRATIC EQUATION: WE GET Y=(-11+-SQRT[11^2-4*1*-28])/2*1 Y=(-11+-SQRT[121+112])/2 Y=(-11+-SQRT[233)/2 Y=(-11+-15.26)/2 Y=(-11+15.26)/2 Y=4.26/2 Y=2.13 ANSWER. Y=(-11-15.26)/2 Y=-26.26/2 Y=-13.13 ANSWER.
 Coordinate-system/117147: determine whether the lines through the paris of points are parallel, perpendicular, of neither 3x-12y=11 64x+12y=-181 solutions Answer 85318 by checkley71(8403)   on 2007-12-17 09:47:55 (Show Source): You can put this solution on YOUR website!3X-12Y=11 OR -12Y=-3X+11 OR Y=-3X-12+11/-12 0R Y=X/4-11/12 SLOPE=1/4 64X+12Y=-18 OR 12Y=-64X-18 OR Y=-64X/12-18/12 OR Y=-16X/3-3/2 SLOPE=-16/3 THESE TWO LINES ARE NEITHER PARALLEL NOR PERPENDICULAR.
 Travel_Word_Problems/117198: a cruise boat travels 24 miles downstreamin 3 hoursand returns to its starting point upstream in 6 hours. find the speed of the stream.1 solutions Answer 85317 by checkley71(8403)   on 2007-12-17 09:42:00 (Show Source): You can put this solution on YOUR website!24/3=8 MPH GOING DOWNSTREAM. 24/6=4 MPH GOING UPSTREAM. 8-S=4+S -2S=-4 S=-4/-2 S=2 IS THE SPEED OF THE STREAM. PROOF 24/(8-2)=24/(4+2) 24/6=24/6 4=4
 Linear-systems/117263: A Chemist ahs 25% and a 50% acid soultion. How much of each soultion should be used to form 200 ml of a 35% acid soultion.1 solutions Answer 85315 by checkley71(8403)   on 2007-12-17 09:31:50 (Show Source): You can put this solution on YOUR website!.25X+.50(200-X)=200*.35 .25X+100-.50X=70 -.25X=70-100 -.25X=-30 X=-30/-.25 X=120 ML OF 25% ACID IS REQUIRED. 200-120=80 ML OF 50% ACID IS ALSO REQUIRED. PROOF .25*120+.50*80=70 30+40=70 70=70
 Linear-systems/117264: The length of a rectangle is 3 m more than twice its width, IF the perimeter of the rectangle is 42 m, find the dimensions of the rectangle.1 solutions Answer 85314 by checkley71(8403)   on 2007-12-17 09:26:22 (Show Source): You can put this solution on YOUR website!L=2W+3 42=2(2W+3)+2W 42=4W+6+2W 42=6W+6 6W=42-6 6W=36 W=36/6 W=6M FOR THE WIDTH. L=2*6+3 L=12+3 L=15M FOR OF THE LENGTH. PROOF 42=2*15+2*6 42=30+12 42=42
 Linear-systems/117265: Adult tickets for a play cost \$11 and child tickets cost \$10. If there were 23 people at a perfromance and the theater collected \$246 from tickets sales, how mant childern attended the play?1 solutions Answer 85313 by checkley71(8403)   on 2007-12-17 09:21:52 (Show Source): You can put this solution on YOUR website!A+C=23 OR A=23-C FOR THE NUMBER OF TICKETS SOLD. 11A+10C=246 NOW REPLACE A WITH(23-C) IN THE SECOND EQUATION & SOLVE FOR C 11(23-C)+10C=246 253-11C+10C=246 -C=246-253 -C=-7 C=7 CHILDREN'S TICKETS WERE SOLD. (NO IDEA HOW MANY CHILDREN ATTENDED) 23-7=16 ADULT TICKETS SOLD. PROOF 11*16+10*7=246 176+70=246 246=246
 Linear-systems/117266: Thw equation y=0.10x +200 describes the award money in a recycling contest. What are the slope and the y-intercept for this equation.1 solutions Answer 85312 by checkley71(8403)   on 2007-12-17 09:15:27 (Show Source): You can put this solution on YOUR website!Y=0.10X+200 THE LINE FORMULA IS Y=mX+b WHERE (m)=SLOPE & (b)=Y INTERCEPT. THE SLOPE=0.10 THE Y INTERCEPT=200
 Radicals/117270: 2sqrtx=4sqrt31 solutions Answer 85311 by checkley71(8403)   on 2007-12-17 09:12:35 (Show Source): You can put this solution on YOUR website!2SQRTX=4SQRT3 SQUARING BOTH SIDES. (2*2)(SQRTX*SQRTX)=(4*4)(SQRT3*SQRT3) 4X=16*3 4X=48 X=48/4 X=12 ANSWER. PROOF 2SQRT12=4SQRT3 2SQRT4*3=4SQRT3 (2*2)SQRT3=4SQRT3 4SQRT3=4SQRT3
 expressions/117280: simplify 54m third power/9m fourth power1 solutions Answer 85310 by checkley71(8403)   on 2007-12-17 09:05:38 (Show Source): You can put this solution on YOUR website!54M^3/9M^4 6/M ANSWER.
 Inequalities/117285: Solve for y: y + 1/2 = -1/3 (x + 1/2) What I have done: y + 1/2 = -1/3x + 1/2 * -1/3 y + 1/2 = - 1/3x -2/6 (THIS SHOULD BE -1/6) y + 1/2 - 1/2 = - 1/3 x - 2/6 - 1/2 y = - 1/3x + 10/12 y = - 1/3x + 5/6 y = - 1/3x / -1/3 + 5/6 / -1/3 y = x -15/61 solutions Answer 85308 by checkley71(8403)   on 2007-12-17 09:03:16 (Show Source): You can put this solution on YOUR website!Y+1/2=-1/3(X+1/2) Y+1/2=-1/3X-1/3*1/2 Y+1/2=-1/3X-1/6 Y=-1/3X-1/6-1/2 Y=-1/3X-4/6 Y=-1/3X-2/3 Y=-X/3-2/3 Y=(-X-2)/3 ANSWER.
 Money_Word_Problems/117248: ms. jones has been given a loan of \$2500 for 1 year. if the interest charged is \$275, what is the interest rate on the loan?1 solutions Answer 85285 by checkley71(8403)   on 2007-12-16 21:28:21 (Show Source): You can put this solution on YOUR website!275/2500=.11 OR 11% INTEREST.
 Percentage-and-ratio-word-problems/117250: a survey of 400 people found that 66 were left-handed. What percent of those surveyed were left-handed?1 solutions Answer 85284 by checkley71(8403)   on 2007-12-16 21:26:42 (Show Source): You can put this solution on YOUR website!66/400=.165 OR 16.5 % WERE LEFT HANDED.
 Percentage-and-ratio-word-problems/117251: the electricity costs of a business decreased from \$12,000 one year to \$10,920 the next. what is the rate of decrease?1 solutions Answer 85283 by checkley71(8403)   on 2007-12-16 21:25:15 (Show Source): You can put this solution on YOUR website!(12,000-10,920)/12,000=1080/12,000.09 OR 9% ANNUAL DECREASE.
 Probability-and-statistics/117140: Given a single deck of cards, what is the probability of drawing either a king or a diamond? Hint – There are four kings in a deck and 13 diamonds. There are a total of 52 cards in a single deck.1 solutions Answer 85282 by checkley71(8403)   on 2007-12-16 21:23:18 (Show Source): You can put this solution on YOUR website!(4+12)/52=16/52=4/13 OR.3077 IS THE PROBABILITY OF DRAWING A KING OR A DIAMOND. THERE ARE 4 KINGS (1 OF WHICH IS A DIAMOND)
 Miscellaneous_Word_Problems/117136: After surveying 50 students in Mr. Paul's math class, it is determined that 18 take pre-cal and 19 take statistics.Given that information, what is the minimum number of sudents in his class who take both pre-cal and statistics?1 solutions Answer 85281 by checkley71(8403)   on 2007-12-16 21:18:57 (Show Source): You can put this solution on YOUR website!THE ANSWER IS 0. PRE CAL=18 STAT=19 THUS YOU HAVE A TOTAL OF 37 STUDENTS THAT COULD TAKE ONLY ONE OF THESE SUBJECTS AND ANOTHER 50-37=13 WHO TAKE NEITHER COURSE.
 Miscellaneous_Word_Problems/117132: A poker hand consists of five cards dealt from a deck of 52. How many diferent poker hands are possible?1 solutions Answer 85280 by checkley71(8403)   on 2007-12-16 21:14:01 (Show Source): You can put this solution on YOUR website!52*51*50*49*48=311,875,200 POSSIBLE DIFFERENT HANDS CAN BE DEALT WITH 5 CARDS.
 Money_Word_Problems/117196: Ace bought a jacket for \$36. This was a reduction in price of 21%. What was the price of the jacket?1 solutions Answer 85278 by checkley71(8403)   on 2007-12-16 21:06:19 (Show Source): You can put this solution on YOUR website!X-.21X=36 .79X=36 X=36/.79 X=\$45.57 WAS THE ORIGINAL PRICE BEFORE THE REDUCTION.
 Polynomials-and-rational-expressions/117226: I hate word problems, and have a hard enough time figuring them out let alone making one up. How should I give an example of using polynomials in “real life” applications?1 solutions Answer 85277 by checkley71(8403)   on 2007-12-16 20:56:43 (Show Source): You can put this solution on YOUR website!HERE'S ONE. GAS IS \$3.00 PER GALLON, YOUR CAR AVERAGES 25 MPG AND YOU ARE PLANNING A TRIP OF 3,000 MILES. HOW MUCH GAS MONEY SHOULD YOU TAKE ON THE TRIP? 25/3000=3/X (X BEING THE AMOUNT OF MONEY NEEDED). NOW CROSS MULTIPLY 25X=3*3000 25X=9000 X=9000/25 X=\$360 IS THE COST OF GAS @ \$3.00 PER GALLON, TO TRAVEL 3,000 MILES, IN A CAR THAT GETS 25 MPG. \$360 WILL BUY YOU 360/3=120 GALLONS OF GAS 120 GALLONS OF GAS TIMES 25 MPG=3000 MILES.
 Miscellaneous_Word_Problems/117228: Solve. Mark drove 250 miles to visit Sandra. Returning by a shorten route, he found that the trip was only 225 miles, but traffic slowed his speed by 5 miles. If the two trips took exactly the same time, what was his rate on the return trip?1 solutions Answer 85276 by checkley71(8403)   on 2007-12-16 20:47:57 (Show Source): You can put this solution on YOUR website!250/R=225/(R-5) NOW CROSS MULTIPLY 250(R-5)=225R 250R-1250=225R 250R-225R=1250 25R=1250 R=1250/25 R=50 MPH IS THE SPEED OF THE FIRST TRIP 50-5=45 MPH FOR THE RETURN TRIP. PROOF 250/50=225/45 5=5
 Polynomials-and-rational-expressions/117229: Find all positive values for k for which each of the following can be factored. x^2+x-k Thanks1 solutions Answer 85275 by checkley71(8403)   on 2007-12-16 20:43:12 (Show Source): You can put this solution on YOUR website!k can be any number that has 2 factors that differ by 1' examples are: 2*3=6 (x^2+x-6)=(x-2)(x+3) 7*8=56 (x^2+x-56)=(x-7)(x+8) 9*10=90 (x^2+x-90)=(x+10)(x-9)