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# Recent problems solved by 'checkley77'

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 Proportions/135475: x-3/x=4/71 solutions Answer 99280 by checkley77(12569)   on 2008-04-06 15:19:40 (Show Source): You can put this solution on YOUR website!(X-3)/X=4/7 CROSS MULTIPLY 7(X-3)=4X 7X-21-4X=0 3X=21 X=21/3 X=7 ANSWER. PROOF: (7-3)/7=4/7 4/7=4/7 ----------------------------------- IF YOU MEAN X-(3/X)=4/7 THEN: (X^2-3)/X=4/7 CROSS MULTIPLY 7(X^2-3)=4X 7X^2-21-4X=0 7X^2-4X-21=0 USING THE QUADRATIC EQUATION WE GET: (2.04 & -1.47) ------------------------------------------------ IN THE FUTURE PLEASE MAKE BETTER USE OF THE ( ) AS YOU CAN SEE IT MAKES QUITE A DIFFERENCE HOW THESE TERMS ARE INTERPRETED.
 Problems-with-consecutive-odd-even-integers/135465: The product of two positive consecutive odd integers is 339. The sum of these two integers is:1 solutions Answer 99277 by checkley77(12569)   on 2008-04-06 15:09:37 (Show Source): You can put this solution on YOUR website!x(x+2)=339 x^2+2x-339=0 the answer (using the quadratic equation is: 17.439 & 19.439. the sum is (the b value in the equation ax^2+bx-c, where a=1) 19.439-17.439=2 answer.
 Distributive-associative-commutative-properties/135471: This question is from textbook Prentice Hall New York Integrated Algebra I was adding the algebraic fractions a/a+3 and 4/a+5. I got a^2+5a/(a+3)(a+5)+4a+12/(a+3)(a+5). I added the numerators and got a^2+9a+12, but I can't factor it. Is it possible?1 solutions Answer 99276 by checkley77(12569)   on 2008-04-06 14:58:07 (Show Source): You can put this solution on YOUR website!A^2+9A+12 CAN BE FACTORED BY USING THE QUADRATIC EQUATION: aX^2+bX+c YOU'LL GET ANSWERS OF (-1.62 & -7.37).
 Radicals/135468: simplify: 3 square root b^2 divided by 4 square root b^3 a. 1 over 12 square root b b. 12 square root b^5 c. 7 square root b^5 d. 12 square root b1 solutions Answer 99274 by checkley77(12569)   on 2008-04-06 14:51:47 (Show Source): You can put this solution on YOUR website!(3SQRTB^2)/(4SQRTB^3) 3B/4BSQRTB 3/4SQRTB OR: (3SQRTB)^2/(4SQRTB)^3 9B/(64BSQRTB) 3/18SQRTB NO MATCHERS HERE WITH YOU OPTIONS.
 Radicals/135469: subtract : (9-6i) - (-7i-5)1 solutions Answer 99271 by checkley77(12569)   on 2008-04-06 14:41:10 (Show Source): You can put this solution on YOUR website!(9-6i)-(-7i-5) 9-6i+7i+5 14+i ANSWER.
 Polynomials-and-rational-expressions/135362: Hi, Can you help me with this math problem? Find the maximum or minimum point of the function and state whether it is a maximum or minimum. f(x)=2x^2+8x-21 solutions Answer 99269 by checkley77(12569)   on 2008-04-06 14:37:02 (Show Source): You can put this solution on YOUR website!F(X)=2X^2+8X-2 (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, 2x^2 +8x -2). IT APPEARS TO BE A MINIMUM VALUE OF (-2,-10).
 Distributive-associative-commutative-properties/135382: (2a-3b)(3a+2b)1 solutions Answer 99266 by checkley77(12569)   on 2008-04-06 14:29:20 (Show Source): You can put this solution on YOUR website!2A-3B 3A+2B ------------------------- 6A^2-9AB+4AB-6B^2 6A^2-5AB-6B^2 ANSWER.
 Problems-with-consecutive-odd-even-integers/135407: Three times the greatest of 3 consecutive even integers exceeds twice the least by 38. Find the integers.1 solutions Answer 99265 by checkley77(12569)   on 2008-04-06 14:27:18 (Show Source): You can put this solution on YOUR website!LET X, X+2 & X+4 BE THE 3 INTEGERS. 3(X+4)-2X=38 3X+12-2X=38 X=38-12 X=26 ANSWER FOR THE SMALLEST INTEGER. 26+2=28 FOR THE MIDDLE INTEGER 26+4=30 IS THE LARGESTINTEGER. PROOF: 3*30-2*26=38 90-52=38 38=38
 Mixture_Word_Problems/135455: This question is from textbook What quantity of a 60% acid solution must be mixed with a 30% solution to produce 300mL of a 50% solution?1 solutions Answer 99262 by checkley77(12569)   on 2008-04-06 14:20:44 (Show Source): You can put this solution on YOUR website!.6x+.3(300-x)=.5*300 .6x+90-.3x=150 .3x=150-90 .3x=60 x=60/.3 x=200 ml of 60% is used. 300-200=100 ml of 30% is used. proof: .6*200+.3*100=150 120+30=150 150=150
 Equations/135457: 2(1+c)-(2+c)=101 solutions Answer 99261 by checkley77(12569)   on 2008-04-06 14:18:07 (Show Source): You can put this solution on YOUR website!2(1+c)-(2+c)=10 2+2c-2-c=10 c=10 answer. proof: 2(1+10)-(2+10)=10 2*11-12=10 22-12=10 10=10
 Miscellaneous_Word_Problems/135389: The area of a rectangular field is 1200m^2. Two parallel sides are fenced with aluminum at \$20/m. The remaining two sides are fenced with steel at \$10/m. The total cost of the fencing is \$2200. What is the length of each side fenced with aluminum and what is the length of each side fenced with steel?1 solutions Answer 99234 by checkley77(12569)   on 2008-04-06 11:30:59 (Show Source): You can put this solution on YOUR website!XY=1200 OR X=1200/Y 2*20X+2*10Y=2200 40X+20Y=2200 40(1200/Y)+20Y=2200 48,000/Y+20Y=2200 (48,000+20Y^2)/Y=2200 CROSS MULTIPLY 48,000+20Y^2=2200Y 20Y^2-2200Y+48,000=0 20(Y^2-110Y+2,400)=0 20(Y-30)(Y-80)=0 Y-30=0 Y=30 ANSWER X=1200/30 X=40 ANSWER Y-80=0 Y=80 ANSWER X=1200/80 X=15 ANSWER. PROOFS: 30*40=1200 1200=1200 80*15=1200 1200=1200 2*20*40+2*10*30=2200 1600+600=2200 2200=2200
 Problems-with-consecutive-odd-even-integers/135408: Find two consecutive integers such that 3 times the first integer plus 2 times the second integer is equal to 107.1 solutions Answer 99230 by checkley77(12569)   on 2008-04-06 11:14:14 (Show Source): You can put this solution on YOUR website!LET X= THE FIRST INTEGER LET X+1=THE NEXT NUMBER 3X+2(X+1)=107 3X+2X+2=107 5X=107-2 X=105 X=105/5 X=21 IS THE FIRST INTEGER. 21+1=22 IS THE NEXT NUMBER. PROOF 3*21+2*22=107 63+44=107 107=107
 Linear_Equations_And_Systems_Word_Problems/135415: This question is from textbook PLease help me with this word problem! The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73%in 2000. Let 1970 be year 0 and 2000 be year 30. a) Find and interpret the slope of the line through the points (0,55) and (30, 73) b) Find the equation of the line in part (a) c)What is the meaning of the y-intercept d)Use the equation to predict the percentage in 2010. e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%?1 solutions Answer 99229 by checkley77(12569)   on 2008-04-06 11:08:30 (Show Source): You can put this solution on YOUR website!A) SLOPE=(73-55)/(30-0)=18/30=3/5=.6 IS THE SLOPE. B) Y=mX+b 55=.6*0+b b=55% THE Y INTERCEPT. C) THE Y INTERCEPT IS THE VALUE FOR YEAR 0 IN THIS PROBLEM. D) IN 2010 (YEAR 40) THE Y VALUE WILL BE: Y=.6*40+55 Y=24+55 Y=79% ANSWER FOR THE PROJECTION OF UNMARRIED WOMEN. E) THE PROJECTION FOR 100% IS: 100=.6X+55 .6X=100-55 .6X=45 X=45/.6 X=75 OR THE YEAR 1970+75=2045 THIS PROJECTION SHOWS 100% OF THE WOMEN HAVE NEVER BEEN MARRIED. -------------------------------------- THEN WHAT HAPPENS????????????????????????????????? WHO GETS TO CLEAN UP THE MESS WE'VE LEFT???????????????
 Polynomials-and-rational-expressions/135331: Find the GCF in this set. 2x^3, 8x^2y^2,17xy^31 solutions Answer 99179 by checkley77(12569)   on 2008-04-05 18:26:30 (Show Source): You can put this solution on YOUR website!2X^3, 8X^2Y^2, 17XY^3 2*4*17=136X^3Y^3 IS THE GCF.
 Numeric_Fractions/135332: y=(3/4)x+12 2x/3+1/2=2 I need help on solving these equations1 solutions Answer 99178 by checkley77(12569)   on 2008-04-05 18:21:44 (Show Source): You can put this solution on YOUR website!Y=3X/4+12 IF THIS IS A LINE EQUATION THEN: (graph 300x200 pixels, x from -6 to 15, y from -10 to 20, 3x/4 +12). FOR SETS OF POINTS ONN THIS LINE SET X=TO ANY INTEGER & SOLVE FOR Y. THUS IF X=0 THEN Y=3*0/4+12=12 OR (0,12) IS ONE SET OF VALUES. IF X=4 THE Y=3*4/4+12=12/4+12=3+12=15 OR (4,15) --------------------------------------------------------- 2x/3+1/2=2 2x/3=2-1/2 2x/3=3/2 now cross multiply 2*2x=3*3 4x=9 x=9/4 answer.
 Coordinate-system/135338: This question is from textbook elementry algebra Here is the question,graph the equation by finding (3)three ordered pair that satisfy the following equations y= -3x +4 I come up short of the book answer Thank you for any help that you can provide1 solutions Answer 99177 by checkley77(12569)   on 2008-04-05 18:12:38 (Show Source): You can put this solution on YOUR website!TERE ARE AN INFINITE NUMBER OF PAIRS (X,Y) TO ANY LINE. DON'T FEEL BAD IF YOU DON'T FIND THEIRS. Y=-3X+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x +4). THE BEST WAY TO MATCH THEIR PAIRS IS TO SUBSTITUTE ANY NUMBER FOR X & SOLVE FOR Y. THUS IF X=1 THEN: Y=-3*1+4 Y=-3+4 Y=1 ANSWER (1,1) IF X=4 THEN: Y=-3*4+4 Y=-12+4 Y=-8 ANSWERN(4,-8)
 Linear-systems/135340: I have three questions if that is ok. Solve for x: 5x - 12 = 4x + 5 Solve for x: -3(4x+3)-2 = 7 -2x + 3 Solve for x: (x + 3)/4 - 3/2 = (x + 4)/8 thank you in advance for you help1 solutions Answer 99174 by checkley77(12569)   on 2008-04-05 17:52:56 (Show Source): You can put this solution on YOUR website!I'LL LEAVE THE PROOFS TO YOU: IT'S GREAT PRACTICE. ------------------------------------------------ 5X-12=4X=5 5X-4X=5+12 X=17 ANSWER. -------------------- -3(4X+3)-2=7-2X+3 -12X-9-2=-2X+10 -12X+2X=10+11 -10X=21 X=21/-10 ANSWER. ----------------------- (X+3)/4-3/2=(X+4)/8 (X+3)/4-(X+4)/8=3/2 [2(X+3)-(X+4)]/8=3/2 [2X+6-X-4]/8=3/2 [X+2]/8=3/2 NOW CROSS MULTIPLY. 2[X+2]=8*3 2X+4=24 2X=24-4 2X=20 X=20/2 X=10 ANSWER.
 Travel_Word_Problems/135344: Katy leaves City A for City B at 8 A.M., driving at 52 mi/h. At 10 A.M., Jensen leaves City B for City A, driving at 61 mi/h along the same route. If the cities are 443 mi apart, at what time (P.M.) will they meet? 1 solutions Answer 99173 by checkley77(12569)   on 2008-04-05 17:38:40 (Show Source): You can put this solution on YOUR website!52X+61(X-2)=443 52X+61X-122=443 113X=443+122 113X=565 X=565/113 X=5 HOURS AFTER KATY LEAVES THEY WILL MEET. 8+5=13 OR 1 PM. PROOF 52*5+61*3=443 260+183=443 443=443
 Miscellaneous_Word_Problems/135351: Suppose the width of a certain rectangle is 1 inch more than one-fourth of its lenght. the perimeter of the rectangle is 42 inches. find the lenght and width of the rectangle.1 solutions Answer 99172 by checkley77(12569)   on 2008-04-05 17:32:28 (Show Source): You can put this solution on YOUR website!LET WIDTH=L/4+1 WHERE L IS THE LENGTH. 2W+2L=42 2(L/4+1)+2L=42 2L/4+2+2L=42 2L/4+2L=42-2 (2L+4*2L)/4=40 (2L+8L)/4=40 10L/4=40 10L=4*40 10L=160 L=160/10 L=16 FOR THE LENGTH. W=16/4+1 W=4+1 L=5 FOR THE LENGTH. PROOF: 2*16+2*5=42 32+10=42 42=42
 Miscellaneous_Word_Problems/135352: A board 20 feet long is cut into two pieces such that the lenght of one piece is two-thirds of the lenght of the other piece. find the lenght of the shorter piece of board.1 solutions Answer 99170 by checkley77(12569)   on 2008-04-05 17:24:29 (Show Source): You can put this solution on YOUR website!X+2X/3=20 (3X+2X)/3=20 5X/3=20 5X=3*20 5X=60 X=60/5 X=12 FOR ONE PIECE 2*12/3=24/3=8 FOR THE OTHER PIECE. PROOF 12+8=20 20=20
 Miscellaneous_Word_Problems/135353: Annilee's present age is two-thirds of Jessie's present age. In 12 years the sum of their ages will be 54 years. Find their present ages.1 solutions Answer 99169 by checkley77(12569)   on 2008-04-05 17:21:54 (Show Source): You can put this solution on YOUR website!A=2J/3 IN 12 YEARS A WILL BE A+12 IN 12 YEARS J WILL BE J+12 USING THE (2J/3) FOR A's GURRENT AGE WE ADD 12 YEARS OR 2J/3+12 USING J+12 FOR J's AGR 12 YEARS FROM NOW. ADDING THESE 2 AGES WE GET: 2J/3+12+J+12=54 2J/3+J=54-12-12 5J/3=54-24 5J/3=30 5J=3*30 5J=90 J=90/5 J=18 IS THE CURRENT AGE OF J. A=2*18/3=36/3=12 IS THE CURRENT AGE OF A. PROOF 18+12+12+12=54 54=54
 Miscellaneous_Word_Problems/135354: One of two supplementary angles is 4 degree more than one-third of the other angle. find the measure of each angle.1 solutions Answer 99167 by checkley77(12569)   on 2008-04-05 17:15:09 (Show Source): You can put this solution on YOUR website!SUPPLEMENTARY ANGLES (2) ADD UP YO 180 DEGREES. THEREFORE: X=Y/3+4 & X+Y=180 THUS WE HAVE THE EQUATION (Y/3+4)+Y=180 Y/3+4+Y=180 Y/3+Y=180-4 (Y+3Y)/3=176 4Y=176*3 4Y=528 Y=528/4 Y=132 DEGREES IS THE LARGER ANGLE. X=132=180 X=180-132 X=48 DEGREES FOR THE SMALLER ANGLE. PROOF: 132/3+4+132=180 44+4+132=180 180=180
 Radicals/135222: simplify: 3 square root b^2 divided by 4 square root b^31 solutions Answer 99150 by checkley77(12569)   on 2008-04-05 08:40:40 (Show Source): You can put this solution on YOUR website!3(sqrtb^2)/4(sqrtb^3) 3b/4b(sqrtb) answer.
 Triangles/135325: I tried solving this question but trial and error but I was wondering if there is a formula to use? In triangle ABC,angle A is 5 times angle B, and angle c is 16 degrees less than angle b. What are the measures of the three angles? I got Angle A-140 Angle B-28 and ANgle C-12 because I know all angles on a triangle must equal 180 degrees. Is this right and is there a formula to solve it? Thank you!1 solutions Answer 99148 by checkley77(12569)   on 2008-04-05 08:35:39 (Show Source): You can put this solution on YOUR website!a=5b c=b-16 a+b+c=180 5b+b+b-16=180 7b=180+16 7b=196 b=196/7 b=28 answer. a=5*28=140 answer. c=28-16=12 answer.
 Quadratic_Equations/135292: This question is from textbook beginning algebra solve equation using quadratic formula 1 solutions Answer 99129 by checkley77(12569)   on 2008-04-04 20:17:34 (Show Source): You can put this solution on YOUR website!x^2-5x+7=5 x^2-5x+7-5=0 x^2-5x+2=0 x=(5+-sqrt[-5^2-4*1*2])/2*1 x=(5+-sqrt[25-8])/2 x=(5+-sqrt17)/2 x=(5+-4.123)/2 x=(5+4.123)/2 x=9.123/2 x=4.56 answer. x=(5-4.123)/2 x=.877/2 x=.4385 answer.
 Graphs/135184: Find the equation of the line with slope 6 that goes through the point (6,4). Write your answer in slope-intercept form.1 solutions Answer 99040 by checkley77(12569)   on 2008-04-04 10:09:27 (Show Source): You can put this solution on YOUR website!Y=mX+b 4=6*6+b 4=36+b b=4-36 b=-32 ANSWER FOR THE Y INTERCEPT. Y=6X-32 LINE EQUATION ANSWER.
 Graphs/135196: Find the equation of the line through the point (4,3)that is perpendicular to y=4x-8. Write your answer in slope-itercept form1 solutions Answer 99039 by checkley77(12569)   on 2008-04-04 10:05:22 (Show Source): You can put this solution on YOUR website!Y=4X+8 (RED LINR)HAS A SLOPE=4. THEREFORE ANY PERPENDICULAR LINE HAS A SLOPE=-1/4. 3=-1/4*4+b 3=-1+b b=3+1 b=4 THE Y INTERCEPT. Y=-X/4+4 ANSWER (GREEN LINE) (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 4x +8 and -x/4 +4).
 Graphs/135197: sketch the graph of y=-121 solutions Answer 99037 by checkley77(12569)   on 2008-04-04 09:59:18 (Show Source): You can put this solution on YOUR website!Y=-12 (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, Y = -12).
 Linear-equations/135215: find equation of a line. this was on my test, please solve so I can study them A.) m=5(5,0) B.) m=-2 (-6,2)1 solutions Answer 99036 by checkley77(12569)   on 2008-04-04 09:57:37 (Show Source): You can put this solution on YOUR website!A) Y=mX+b 0=5*5+b b=-25 Y=5X-25 ANSWER FOR THIS LINE. B) 2=-2*-6+b 2=12+b b=2-12 b=-10 Y=-2X-10 ANSWER FOR THIS LINE.
 Miscellaneous_Word_Problems/135145: solve : 1) The sum of the page numbers on facing pages of a book is 157; what are the page numbers? 2) A girl buys three apples and seven oranges for \$4.56. If an orange costs \$0.28 more than an apple, how much does each fruit cost? 3) A woman buys three pairs of jeans for \$99.84, including tax. If each pair of jeans cost \$32, what was the sales tax rate? 1 solutions Answer 99035 by checkley77(12569)   on 2008-04-04 09:53:23 (Show Source): You can put this solution on YOUR website!x+x+1=157 2x=157-1 2x=156 x=156/2 x=78 answer for the first page. 78+1=79 answer for the next page. proof: 78+79=157 --------------------------------------- 3A+7O=4.56 O=A+.28 3A+7(A+.28)=4.56 3A+7A+1.96=4.56 10A=4.56-1.96 10A=2.60 A=2.60/10 A=.26 PRICE OF 1 APPLE. O=.26+28 O=.54 COST OF 1 ORANGE. PROOF 3*.26+7*.54=4.56 .78+3.78=4.56 4.56=4.56
 Graphs/135182: Find the slope and y-intercept of the equation: y+9=-3x1 solutions Answer 99033 by checkley77(12569)   on 2008-04-04 09:34:51 (Show Source): You can put this solution on YOUR website!Y=mX+b WHERE m=SLOPE & b=Y INTERCEPT. Y+9=-3X Y=-3X-9 THIS LINE HAS A SLOPE (m)=-3 & Y INTERCEPT (b)=-9 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x -9).