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# Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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 Polynomials-and-rational-expressions/64409: Factor completely. ax – ay + x^2 – xy1 solutions Answer 45049 by checkley71(8403)   on 2006-12-09 10:59:48 (Show Source): You can put this solution on YOUR website!AX-AY+X^2-XY A(X-Y)+X(X-Y) (A+X)(X-Y)
 Polynomials-and-rational-expressions/64410: Factor completely. x^2 – 41 solutions Answer 45048 by checkley71(8403)   on 2006-12-09 10:57:49 (Show Source): You can put this solution on YOUR website!X^2-4 (X-2)(X+2)
 Equations/64355: 3x+7=191 solutions Answer 45029 by checkley71(8403)   on 2006-12-08 22:20:54 (Show Source): You can put this solution on YOUR website!3X+7=19 3X=19-7 3X=12 X=12/3 X=4 SOLUTION PROOF 3*4+7=19 12+7=19 19=19
 Coordinate-system/64377: This question is from textbook An Incremental Development Find the distance between (-5, -2) and (4, -3)1 solutions Answer 45028 by checkley71(8403)   on 2006-12-08 22:18:20 (Show Source): You can put this solution on YOUR website!THE DISTANCE BETWEEN THE X POINTS IS 4-(-5)=4+5=9 THE DISTANCE BETWEEN THE Y POINTS IS -3-(-2)=-3+2=-1 THUS WE HAVE A TRIANGLE WITH SIDES 9 & 1. TO FIND THE HYPOTENUSE WE USE THE PATHAGOREAN FORMULA A^2+B^2=C^2 (C^2 BEING THE HYPOTENUSE. 1^2+9^2=C^2 1+81=C^2 C^2=82 C=SQRT82 C=9.0553851 OR THE DISTANCE BETWEEN THESE TWO POINTS.
 Numeric_Fractions/64258: can you please help me in these solution I really i appriciated thank you 1) Multiply: [(1/4)z + (1/3)][(1/4)z - (1/5)] 2)Simplify and evaluate: (22x5y-3z4/40x-2y-8z5)3 thank you so much1 solutions Answer 45027 by checkley71(8403)   on 2006-12-08 22:10:13 (Show Source): You can put this solution on YOUR website!(1/4Z+1/3)(1/4Z-1/5) 1/4X*1/4Z+1/4Z*1/3-1/5*1/4Z+1/3*-1/5 1/16Z^2+1/12Z-1/20Z-1/15 1/16Z^2+(5/60Z-3/60Z)-1/15 1/16Z^2+2/60Z-1/15 ----------------------------------------------------------------------
 Quadratic_Equations/64378: This question is from textbook An Incremental Development please help to solve : 2 - 3x / 5 + x/3 = 4 1 solutions Answer 45024 by checkley71(8403)   on 2006-12-08 21:52:58 (Show Source): You can put this solution on YOUR website!2-3X/5+X/3=4 -3X/5+X/3=4-2 FIND A COMMON DENOMINATOR FOR 3 & 5 WHICH IS 15 [(-3X)3+5X]/15=2 (-9X+5X)/15=2 -4X/15=2 CROSS MULTIPLY & WE GET -4X=30 X=30/-4 X=-7.5 PROOF 2-3(-7.5)/5-7.5/3=4 2+22.5/5-7.5/3=4 2+4.5-2.5=4 6.5-2.5=4 4=4
 Polynomials-and-rational-expressions/64391: This question is from textbook Algebra Structure and Method Randy and Amy left school at the same time and began walking in opposite diretions. Randy walked at a rate of 3.6 km/h and Amy walked at a rate of 4.2 km/h. How far apart were they after 10 minutes.1 solutions Answer 45022 by checkley71(8403)   on 2006-12-08 21:45:26 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME. THEREFORE X=3.6*1/6+4.2*1/6 (1/6 HOUR=10 MIN) X=.6+.7 X=1.3 KM IS HOW FAR THEY WIL BE APART AFTER 10 MINUTES.
 Numbers_Word_Problems/64290: This question is from textbook Algebra hi! could you help me with this word problem. thanks. the sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. find the number.1 solutions Answer 44925 by checkley71(8403)   on 2006-12-07 21:46:52 (Show Source): You can put this solution on YOUR website!X+Y=15 OR X=15-Y 3X=5Y-11 SUBSTITUTING (15-Y) FOR X WE GET 3(15-Y)=5Y-11 45-3Y=5Y-11 -3Y-5Y=-11-45 -8Y=-56 Y=-56/-8 Y=7 SOLUTION THEN X=15-7 X=8 SOLUTION PROOF 3*8=5*7-11 24=35-11 24=24
 Equations/64289: i have \$1.70 in dimes and quarters. i have 3 more dimes than quarters. how many of each coin do i have?....I am the father of a 7th grader trying to explain this to her...thanks for your help...1 solutions Answer 44924 by checkley71(8403)   on 2006-12-07 21:38:17 (Show Source): You can put this solution on YOUR website!10D+25Q=170 D=3+Q SO WE HAVE 10(3+Q)+25Q=170 30+10Q+25Q=170 35Q=170-30 35Q=140 Q=140/35 Q=4 SO WE HAVE 4 QUARTERS & D=3+4=7 DIMES PROOF 10*7+25*4=170 70+100=170 170=170
 Polygons/64267: 46*1801 solutions Answer 44923 by checkley71(8403)   on 2006-12-07 21:31:23 (Show Source): You can put this solution on YOUR website!46*180=8280. WHY IS THIS A GEOMETRY:POLYGONS PROBLEM?
 Travel_Word_Problems/64261: This question is from textbook Algebra 1 A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph takes 104 hours less to make the same trip. How far apart are the two cities?1 solutions Answer 44922 by checkley71(8403)   on 2006-12-07 21:29:36 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME DISTANCE=33(T+104) DISTANCE=605T SEEING AS THE DISTANCES ARE THE SAME WE HAVE 33(T+104)=605T 33T+3432=605T 3432=605T-33T 572T=3432 T=3432/572 T=6 HOURS FOR THE PLANE & 6+104=110 PROOF 33(110)=605*6 3630=3630
 Functions/64275: Find the slope of the line through the following pairs of points. (-5, -3) and (-5, 2)1 solutions Answer 44921 by checkley71(8403)   on 2006-12-07 21:23:23 (Show Source): You can put this solution on YOUR website!SLOPE=(Y2-Y1)/(X2-X1) SLOPE=(2+3)/(-5+5) SLOPE=5/0 OR AN UNDEFINED SLOPE WHICH IS A VERTICLE LINE THROUGH X=-5
 decimal-numbers/64278: Change the fraction to a decimal. 3/401 solutions Answer 44920 by checkley71(8403)   on 2006-12-07 21:21:18 (Show Source): You can put this solution on YOUR website!3/40=X/1000 40X=3000 X=3000/40 X=75 75/1000=.075
 Functions/64280: The revenue for a sandwich shop is directly proportional to its advertising budget. When the owner spent \$2000 a month on advertising, the revenue was \$120,000. If the revenue is now \$180,000, how much is the owner spending on advertising?1 solutions Answer 44919 by checkley71(8403)   on 2006-12-07 21:16:56 (Show Source): You can put this solution on YOUR website!2000/120000=X/180000 120000X=36000000 X=36000000/120000 X=\$3000 OR HOW MUCH THE OWNER SPENT ON ADVERTISING TO GET 180000 REVENUE.
 Square-cubic-other-roots/64285: Solve for the variable: ((square root of)j) - 4 = -1 a) 9 or -9 b) -9 c) 9 d) no real solution e) none of these1 solutions Answer 44918 by checkley71(8403)   on 2006-12-07 21:13:16 (Show Source): You can put this solution on YOUR website!sqrtJ-4=-1 SQRTJ=4-1 SQRTJ=3 SQUARING BOTH SIDES WE GET J=+/-9
 Miscellaneous_Word_Problems/64282: You throw three darts at the board shown at the right (scores of 1, 4 and 10). If each dart hits the board, what possible point totals can you score?1 solutions Answer 44917 by checkley71(8403)   on 2006-12-07 21:09:01 (Show Source): You can put this solution on YOUR website!.....1.....4.....10 .....3.............=3 ...........3.......=12 ..................3=30 .....2.....1.......=6 .....2............1=12 ...........2......1=18 .....1.....2.......=5 .....1............2=21 ...........1......2=24
 Reduction-of-unit-multipliers/64211: If i need 8 oz of onion to make 1/2gal then how many ones will i need to make 1 quart and one 1/2 gal.1 solutions Answer 44871 by checkley71(8403)   on 2006-12-07 10:56:43 (Show Source): You can put this solution on YOUR website!set up a fractional relationship thus 8oz. onion/.5gal=x/(1quart+.5gal.) 8/.5=x/(.25+.5) 8/.5=x/.75 now cross multiply .5x=8*.75 .5x=6 x=6/.5 x=12 oz. of onions needed to keep the same strength.
 Word_Problems_With_Coins/64163: This question is from textbook Florida Prentice Hall Mathematics Pre-Algebra you hand a costomer \$0.40 in change. a. in how many ways can you do this without using pennies? b. for part (a), make a table.1 solutions Answer 44835 by checkley71(8403)   on 2006-12-06 22:04:49 (Show Source): You can put this solution on YOUR website!NICKELS...+..DIMES...+...QUARTERS...=.40 8X5.................................=.40 6X5=30....+...1X10=10..............30+.10=.40 4X5=20....+...2X10=20..............20+.20=.40 2X5=10....+...3X10=30..............10+.30=.40 0X5=0.....+...4X10..................=.40 1X5=5.....+...1X10=10....+..1X25=25..5+10=25=.40 3X5=15...................+..1X25=25..15+25=.40
 Graphs/64169: Given f(x) = –x3 + 3x2 + x + 7, find f(–3), f(0), and f(1)1 solutions Answer 44834 by checkley71(8403)   on 2006-12-06 21:54:46 (Show Source): You can put this solution on YOUR website!F(X)=-X^3+3X^2+X+7 F(-3)=-(-3)^3+3(-3)^2-3+7 F(-3)=-(-27)+3(9)-3+7 F(-3)=27+27-3+7 F(-3)=58 --------------------------------- F(0)=-(0)^3+3(0)^2+0+7 F(0)=0+0+0+7 F(0)=7 ---------------------------------- F(1)=-(1)^3+3(1)^2+1+7 F(1)=-1+3+1+7 F(1)=10
 Graphs/64171: Determine which two equations represent parallel lines. Justify the answer. (a) y = (5/7) x + 3 (b) y =(7/5) x + 5 (c) y = (7/5) x – 5 (d) y = –(5/7) x + 5 1 solutions Answer 44831 by checkley71(8403)   on 2006-12-06 21:46:19 (Show Source): You can put this solution on YOUR website!THE SLOPE OF A LINE IS THE DETERMINING FACTOR IN IDENTIFYING IF THEY ARE PARALLEL OR PERPENDICULAR. PARALLEL LINES HAVE THE SAME SLOPE. THEREFORE B) Y=(7/5)+5 & C) Y=(7/5)-5 ARE PARALLEL
 Geometry_Word_Problems/64022: This question is from textbook Algebra Structure and Method Book1 A rectangle is 10m longer than it is wide.If its length and width are both decreased by 2 m,its area is decreased by 48 m squared.Find its original dimensions.1 solutions Answer 44806 by checkley71(8403)   on 2006-12-06 17:26:06 (Show Source): You can put this solution on YOUR website!L*W=AREA (W+10)W=(W-10-2)(W-2)+48 W^2+10W=(W-12)(W-2)+48 W^2+10W=W^2-12W-2W+24+48 10W+14W=72 24W=72 W=72/24 W=3 SOLUTION L=3+10=13 SOLUTION PROOF 13*3=(3-12)(3-2)+48 39=-9*1+48 39=-9+48 39=39
 Systems-of-equations/64111: Hi! Could someone please help me with this problem. Let x=4,y=-3 and z=2 xy^2-3z^2 ----------- (xy)^2(-3z)^21 solutions Answer 44805 by checkley71(8403)   on 2006-12-06 17:07:00 (Show Source): You can put this solution on YOUR website!xy^2-3z^2 ......=4*(-3)^2-3(2)^2=4*9-3*4=36-12=24 -----------.........--------------------------------------------------------- (xy)^2(-3z)^2...=(4*-3)^2(-3*2)^2=-12^2*-6^2=144*36=5184 24/5184=1/216
 Functions/64120: what is de anwer for 2(7)+51 solutions Answer 44804 by checkley71(8403)   on 2006-12-06 16:52:37 (Show Source): You can put this solution on YOUR website!2(7)+5 14+5 19
 Systems-of-equations/64153: THE difference between two different numbers in 1 {write in algebraic expressions both} and the sum of two different numbers is 14?1 solutions Answer 44803 by checkley71(8403)   on 2006-12-06 16:50:06 (Show Source): You can put this solution on YOUR website!X-Y=1 X+Y=14
 Equations/64154: I'm need the point-slope from for this to figure out the other froms of the equations, but im not sure how to get point-slope from from the following infromation... please help. Line L passes through (1,-6)with slope 3/2. Write the point-slope form, slope-intercept form, and standard form of an equation for line L.1 solutions Answer 44802 by checkley71(8403)   on 2006-12-06 16:48:02 (Show Source): You can put this solution on YOUR website!Y=mX+b m=3/2 THE SLOPE & b=THE Y INTERCEPT Y=3/2X+b SUBSTITUTE THE X & Y VALUES TO FIND THE Y INTERCEPT -6=3/2*1+b -6=3/2+b b=-6-1.5 b=-7.5 THUS THIS LINE EQUATION IS Y=3/2X-7.5
 Miscellaneous_Word_Problems/64152: Members of the Ski Club contributed equally to obtain \$1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay \$10 more to raise the \$1800. How many went on the trip?1 solutions Answer 44801 by checkley71(8403)   on 2006-12-06 16:43:18 (Show Source): You can put this solution on YOUR website!1800=m*c m=members & c=contribution m=1800/c also 1800=(m-6)(c+10) 1800=(1800/c-6)(c+10) 1800=1800+18000/c-6c-60 -18000/c+60=-6c now multiply every term by c to eliminate the c in the denominator -18000+60c=-6c^2 6c^2+60c-18000=0 divide all terms by 6 c^2+10c-3000=0 (c-50)(c+60)=0 c=50 & c=-60 the original cost is \$50 then there were 1800/50=36 contributors when 6 backed out there were 30 & they paid \$60 each proof 1800=30*60 1800=1800
 Quadratic_Equations/64141: This question is from textbook An Incremental Development Please help to solve 3x/4 - 2x - 3 / 3 = 61 solutions Answer 44795 by checkley71(8403)   on 2006-12-06 16:15:55 (Show Source): You can put this solution on YOUR website!3x/4-2x-3/3=6 .75x-2x-1=6 -1.25x=6+1 -1.25x=7 x=7/-1.25 x=-5.6 solution (3*-5.6)/4-2*-5.6-3/3=6 -16.8/4+11.2-1=6 -4.2+11.2-1=6 6=6
 Functions/64053: Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula E=9/5C+32. What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: -10, 0, 15, 100?1 solutions Answer 44685 by checkley71(8403)   on 2006-12-05 21:05:14 (Show Source): You can put this solution on YOUR website!E=9/5C+32 E=9/5*10+32 E=18+32=50 -------------------- E=9/5*0+32=32 ---------------------- E=9/5*15+32 P=27+32=59 --------------------- P=9/5*100+32 P=180+32=212
 Functions/64054: When x number of units are sold, the price of each unit (in dollars) is given by P=-x/2+75. Find the unit price when the following quantities are sold: 2, 7, 9, 11.1 solutions Answer 44682 by checkley71(8403)   on 2006-12-05 21:00:45 (Show Source): You can put this solution on YOUR website!P=-X/2+75 P=-2/2+75 P=-1+75=74 -------------- P=-7/2+75 P=-3.5+75 P=71.5 --------------- P=-9/2+75 P=-4.5+75 P=70.5 ----------------------- P=-11/2+75 P=-5.5+75 P=69.5
 Word_Problems_With_Coins/64036: Mike has 7 more nickles than quarters. In all he has \$1.25. How man nickles does he have? I'm stuck again!1 solutions Answer 44680 by checkley71(8403)   on 2006-12-05 20:56:11 (Show Source): You can put this solution on YOUR website!LET X BE THE NUMBER OF QUARTERS & (X+7) NICKLES THEN 25X+5(X+7)=125 25X+5X+35=125 30X=125-35 30X=90 X=90/30 X=3 QUARTERS THEN YOU HAVE 3=7=10 NICKLES PROOF 3*25+10*5=125 75+50=125 125=125
 Travel_Word_Problems/64037: Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16mi/h faster than Charlene. They meet in 5 hours. Find Carlene's speed. Any help is appreciated.1 solutions Answer 44678 by checkley71(8403)   on 2006-12-05 20:50:08 (Show Source): You can put this solution on YOUR website!450=5(x+x+16) 450=5x+5x+80 10x=450-80 10x=370 x=37/10 x=37 mph solution for Charline's speed. 37+16=53 mph for Paul's speed proof 450=5*37+5*53 450=185+265 450=450