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# Recent problems solved by 'checkley71'

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 Travel_Word_Problems/55158: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?1 solutions Answer 37415 by checkley71(8403)   on 2006-10-08 16:43:05 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE TIMES TIME 380=50T+60T 380=110T T=380/110 T=3 5/11 HOURS LATER THEY MEET PROOF 380=50(3 5/11)+60(3 5/11) 380=50*38/11+60*38/11 380=1900/11+2280/11 380=4180/11 380=380
 Graphs/55152: 28x – 2(10x – 0.365) = 7x + 0.0351 solutions Answer 37414 by checkley71(8403)   on 2006-10-08 16:34:57 (Show Source): You can put this solution on YOUR website!28X-2(10X-.365)=7X+.035 28X-20X+.73=7X+.035 8X-7X=.035-.73 X=-.695 PROOF 28*-.695-2(10*-.695-.365)=7*-.695+.035 -19.46-2(-6.95-.365)=-4.865+.035 -19.46-2(-7.315)=-4.83 -19.46+14.63=-4.83 -4.83=-4.83
 Human-and-algebraic-language/55157: This question is from textbook Beginning Algebra If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm^2. What were the dimensions of the origional square?1 solutions Answer 37411 by checkley71(8403)   on 2006-10-08 15:48:19 (Show Source): You can put this solution on YOUR website!(X-3)(X-3)=X^2-81 X^2-6X+9=X^2-81 -6X=-81-9 6X=90 X=90/6 X=15 PROOF (15-3)(15-3)=15*15-81 12*12=225-81 144=144
 Numeric_Fractions/55153: what is the diference between two thirds and 1 quarter1 solutions Answer 37409 by checkley71(8403)   on 2006-10-08 15:29:46 (Show Source): You can put this solution on YOUR website!TWO THIRDS = 2/3 & 1 QUARTER 1/4 THUS. FINDING THE DIFERENCE BY SUBTRACTION THUS. 2/3-1/4=8/12-3/12=5/12
 Coordinate-system/54876: write an equation in slope intercept form for the line that satisfies each set of conditions. slope -1/2,passes through (1,3)1 solutions Answer 37078 by checkley71(8403)   on 2006-10-05 20:46:22 (Show Source): You can put this solution on YOUR website!Y=mX+b 3=(-1/2)1+b 3=-1/2+b 3+1/2=b 3.5=b Y=(-.5)X+3.5
 Linear-equations/54885: The larger of two numbers is 12 more than the smaller. The sum of the number is 36. What are the numbers? Write a equation.1 solutions Answer 37075 by checkley71(8403)   on 2006-10-05 20:42:27 (Show Source): You can put this solution on YOUR website!X+(X+12)=36 X+X+12=36 2X=36-12 2X=24 X=12 X=12=24 PROOF 12+24=36 36=36
 Linear-equations/54890: What is the slope of the line whose equation is 2y=5x+4?1 solutions Answer 37073 by checkley71(8403)   on 2006-10-05 20:39:28 (Show Source): You can put this solution on YOUR website!2Y=5X+4 Y=5/2X+2 Y=mX+b WHERE THE SLOPE IS m OR 5/2
 Linear-equations/54902: The newspaper said that only 42% of the registered voters in the school board election. If 11.960 people voted, how many registered voters are there? Write an equation.1 solutions Answer 37072 by checkley71(8403)   on 2006-10-05 20:36:57 (Show Source): You can put this solution on YOUR website!11,960/.42=28,476 THE TOTAL NUMBER OF REGISTERED VOTERS.
 Equations/54901: I need help on the following problem: The difference when 7 less than a number is subtracted from twice the number is 12. What is the number? I have no clue as to how to set up this equation. Please help! thanks!1 solutions Answer 37070 by checkley71(8403)   on 2006-10-05 20:33:03 (Show Source): You can put this solution on YOUR website!2X-(X-7)=12 2X-X+7=12 X=12-7 X=5 PROOF 2*5-(5-7)=12 10-(-2)=12 10+2=12 12=12
 Linear_Equations_And_Systems_Word_Problems/54900: This question is from textbook mathematical reasoning a new football field under construction will have a total length (including end zones) that is 40 feet more than twice its width. the area of the football field must be calculated in order to determine the amount of grass seed is necessary to seed the field. Find the area of the field if its perimeter will be 1040 feet.1 solutions Answer 37069 by checkley71(8403)   on 2006-10-05 20:30:34 (Show Source): You can put this solution on YOUR website!LENGTH=40+2*WIDTH 1040=2*LENGTH+2*WIDTH 1040=2(40*2W)+2*W 1040=80+4W+2W 1040-80=6W 960=6W W=160 THEN L=40+2*160 L=40+320 L=360 PROOF 1040=2*360+2*160 1040=720+320 1040=1040
 Exponents-negative-and-fractional/54894: if y =7 when x=4, find y when x = 12.1 solutions Answer 37067 by checkley71(8403)   on 2006-10-05 20:24:03 (Show Source): You can put this solution on YOUR website!X:Y 4:7 12:21 MULTIPLYING BOTH BY 3
 Travel_Word_Problems/54897: I ran 15 miles going 20 feet per second, how far did I run and how long did it take me?1 solutions Answer 37065 by checkley71(8403)   on 2006-10-05 20:19:26 (Show Source): You can put this solution on YOUR website!YOU RAN 15 MILES OR 5280*15=79200 FEET 79200/20=3960 SECONDS 3960/60= 66MINUTES 66/60=1.1 HOUR OR 1 HOUR 6 MINUTES FOR THE 15 MILWE RUN @ 20 FEET PER SECOND.
 Linear-systems/54827: Paul works for \$6 an hour on weekdays, and makes \$7 on weekends. Last week he made \$250 for 40 hours. Determine how many hours he worked during the week and how many during the weekend.1 solutions Answer 37041 by checkley71(8403)   on 2006-10-05 17:22:31 (Show Source): You can put this solution on YOUR website!6X+7(40-X)=250 6X+280-7X=250 -X=250-280 -X=-30 X=30 HOURS WOEKED DURING THE WEEK FOR \$6 PER HOUR 40-30=10 HOURS WORKED ON THE WEEKEND FOR \$7 PER HOUR PROOF 6*30+7*10=250 180+70=250 250=250
 expressions/54834: Can someone help me on this? The length of a rectangular garden is 2 ft. less than 3 times its width. If the perimeter of the garden is 44 ft, find the dimensions of the garden. Thanks, Lyn1 solutions Answer 37040 by checkley71(8403)   on 2006-10-05 17:17:26 (Show Source): You can put this solution on YOUR website!LENGTH=3W-2 WIDTH=W PERIMETER=2*LENGTH+2*WIDTH 44=2(3W-2)+2W 44=6W-4+2W 44+4=8W 48=8W W=48/8 W=6 & L=3*6-2 OR L=18-2 L=16 PROOF 44=2*16+2*6 44=32+12 44=44
 Equations/54839: Can someone help me on this? I need to translate the following statement into an algebraic equation. Let x represent the number: 7 more than a number is 19 Thanks, Lyn1 solutions Answer 37039 by checkley71(8403)   on 2006-10-05 17:09:48 (Show Source): You can put this solution on YOUR website!X+7=19
 Complex_Numbers/54843: WORD PROBLEM: How much water should be added to 8 ML of 6% Saline solution to reduce the concentration to 4%? Please Help?1 solutions Answer 37037 by checkley71(8403)   on 2006-10-05 17:07:58 (Show Source): You can put this solution on YOUR website!8*.06=(8+X).04 .48=.32+.04X .04X=.48-.32 .04X=.16 X=.16/.04 X=4 ADDITIONAL L OF WATER NEEDED TO CHANGE THE MIX FROM 6% TO 4%. PROOF 8*.06=(8+4).04 .48=12*.04 .48=.48
 Linear-equations/54854: 1. Which of the ordered pairs (3, 1), (0, –4), (–4, 0), (–3, –7) are solutions for the equation x – y = 4? A) (0, –4), (–4, 0), and (–3, –7) B) (–4, 0) and (–3, –7) C) (0, –4) and (–3, –7) D) (3, 1) and (–4, 0) No book. Thank you so much for your help!!!! 1 solutions Answer 37032 by checkley71(8403)   on 2006-10-05 16:48:47 (Show Source): You can put this solution on YOUR website!ANSWER=C)
 Linear-equations/54860: 19. Write the equation of the line with x-intercept (7, 0) and y-intercept (0, 1). no book Thanks so very much!!!1 solutions Answer 37030 by checkley71(8403)   on 2006-10-05 16:46:05 (Show Source): You can put this solution on YOUR website!SLOPE=(0-1)/(7-0) -1/7 IS THE SLOPE 1 IS THE Y INTERCEPT THEN Y=(-1/7)X+1 IS THE EQUATION FOR THE LINE THRIOUGH (7,0)&(0,1)
 Signed-numbers/54701: -25 divided by 6 + 4 1/51 solutions Answer 36998 by checkley71(8403)   on 2006-10-05 11:33:00 (Show Source): You can put this solution on YOUR website!(-25/6)+4.2 -4.17+4.2=.03 OR -25/(6+4.2) -25/10.2=2.45
 Inverses/54770: why is algebra so hard1 solutions Answer 36994 by checkley71(8403)   on 2006-10-05 11:26:34 (Show Source): You can put this solution on YOUR website!TRUST ME IT ISN'T!!!!!!!!!!!!!!!!! AN EXAMPLE THAT SAYS YOU'VE BEEN DOING ALGEBRA IN YOUR HEAD FOR YEARS BUT DON'T RECOGNIZE IT AS ALGEBRA. EXAMPLE: YOU BUY A DOZEN (12) EGGS FOR \$ 1.20. QUESTION (WITHOUT PENCIL & PAPER) TELL ME HOW MUCH EACH INDIVIDUAL EGG COSTS? IF YOUR ANSWE IS \$.10 OR 10 CENTS. YOU JUST SOLVED AN ALGEBRA PROBLEM EXPRESSED BY THE FORMULA 12E=1.20 DIVIDING BOTH SIDES BY 12 WE GET 12E/12=1.20/12 1E=.10 OR 1(EACH) EGG COSTS \$.10 ALGEBRA IS NOT A MYSTERY BUT SIMPLY PUT A SET OF RULES, WHEN MASTERED OPENS UP A WHOLE NEW WORD OF KNOWLEDGE AND POTENTIAL BUSINESS OPPORTUNITIES. TRY TO NAME A JOB THAT DOES NOT REQUIRESOME LEVEL OF MATHEMATICS. CARPENTERS NEED TO KNOW FRACTIONS. CASHIERS NEED TO KNOW HOW TO MAKE CHANGE (REGISTERS HAVE BEEN KNOWN TO FAIL). ALL BUSINESS PEOPLE NEED TO KNOW HOW TO MANAGE A LEDGER (INCOME, PAYMENTS, ASSETS, TAXES). HOMEOWNERS NEED TO BALANCE A CHECK BOOK, RESOLVE CREDIT CARD BILLS, MKE MORTGAGE PAYMENTS, ETC. 'NUF SAID.
 Mixture_Word_Problems/54769: A 25% SOLUTION OF ALCOHOL IS TO BE MIXED WITH A 40% SOLUTION TO GET 50L OF A FINAL MIXTURE THAT IS 30% alcohol. How much of each of the original solution should be used?1 solutions Answer 36993 by checkley71(8403)   on 2006-10-05 11:03:52 (Show Source): You can put this solution on YOUR website!.25X+.40(50-X)=50*.30 .25X+20-.40X=15 -.15X=15-20 -.15X=-5 X=-5/-.15 [CORRECTION I USED .25 INSTEAD OF .15 - SORRY] X=33.33 L OF 25% ALCOHOL & 50-33.33=16.67 L OF 40% ALCOHOL ARE USED TO CREATE A MIX OF 50 L WITH 30% ALCOHOL.
 Money_Word_Problems/54709: Adult tickets for a play cost \$11 and child tickets cost \$10. If there were 23 people at a performance and the theater collected \$246 from ticket sales, how many children attended the play?1 solutions Answer 36991 by checkley71(8403)   on 2006-10-05 10:56:29 (Show Source): You can put this solution on YOUR website!A+C=23 11A+10C=246 A=23-C 11(23-C)+10C=246 253-11C+10C=246 -C=246-253 -C=-7 C=7 THEN A+7=23 A=23-7 A=16 PROOF 11*16+10*7=246 176+70=246 246=246
 Functions/54767: This question is from textbook Algebra & Trigonometry X^2 + Y^2=161 solutions Answer 36990 by checkley71(8403)   on 2006-10-05 10:49:44 (Show Source): You can put this solution on YOUR website!X^2+Y^2=16 X^2=16-Y^2 X=SQRT(16-Y^2) X=(4-Y)(4+Y) OR Y^2=16-X^2 Y=SQRT(16-X^2) Y=(X-4)(X+4)
 Mixture_Word_Problems/54735: This question is from textbook technical mathematics i need to see how you work this problem with all steps shown: How many metric tons of chromium must be added to 2.50 metric tons of stainless steel to raise the percent chromium from 11% to 18%?1 solutions Answer 36989 by checkley71(8403)   on 2006-10-05 10:46:07 (Show Source): You can put this solution on YOUR website!(2.5+X).18=2.5*.11+X .45+.18X=.275+X .45-.275=-.18+X .175=.82X X=.175/.82 X=.2134 METRIC TONS OF CHROMIUM NEEDS TO BE ADDED TO 2.5 TONS OF 11% TO RAISE THE % OF CHROMIUM TO 18% PROOF (2.5+.2134).18=2.5*.11+.2134 2.7134*.18=.275+.2134 .488=.488 THE TOTAL AMOUNT OF CHROMIUM
 decimal-numbers/54732: 6780.50568 rounded to .01, .1, 1, 10, 1001 solutions Answer 36967 by checkley71(8403)   on 2006-10-05 08:50:00 (Show Source): You can put this solution on YOUR website!IF THE .01,.1,1,10,100 INDICATE THE POSITION TO BE ROUNDED THEN 6780.50568 R TO THE .O1 POSITION IS 6780.51 R TO THE .1 POSITION IS 6780.5 R TO THE 1 POSITION IS 6781. R TO THE 10 POSITION IS 6780. R TO THE 100 POSITION IS 6800.
 Distributive-associative-commutative-properties/54742: can you solve 9-r=r+1 thanks!!1 solutions Answer 36964 by checkley71(8403)   on 2006-10-05 08:40:36 (Show Source): You can put this solution on YOUR website!9-R=R+1 9-1=R+R 8=2R R=8/2 R=4 PROOF 9-4=4+1 5=5
 Square-cubic-other-roots/54744: I am stuck on correct answer for: if the width of a rectangle is one-third of its length and its length is 12, what is the area of the rectangle? I am not using any specific book. I am just practicing..1 solutions Answer 36963 by checkley71(8403)   on 2006-10-05 08:35:11 (Show Source): You can put this solution on YOUR website!area=length*width area=12(1/3*12) area=12*4 area=48
 expressions/54713: 9x - 1 = -281 solutions Answer 36934 by checkley71(8403)   on 2006-10-04 20:11:50 (Show Source): You can put this solution on YOUR website!9X-1=-28 9X=-28+1 9X=-27 X=-27/9 X=-3 PROOF 9(-3)-1=-28 -27-1=-28 -28=-28
 Miscellaneous_Word_Problems/54702: I need to know how many cats and witches are out in this problem. I know that the number of legs was 3.5 times the number of heads and the total number of heads and legs are 72.1 solutions Answer 36933 by checkley71(8403)   on 2006-10-04 20:08:45 (Show Source): You can put this solution on YOUR website!WHERE DO YOU GET THAT LEGS IS 3.5 TIMES THE NUMBER OF HEADS. I GET 2 HEADS WITH A TOTAL OF 6 LEGS WHICH IS 3 TO 1 NOT 3.5 TO 1. 72=X(3)+Y(5) 72=3X+5Y THIS HAS A FEW SOLUTIONS 6 CATS 14 WITCHES 0R 6*5+14*3=72 OR 30+42=72 OR 72=72 9 CATS 9 WITCHES OR 9*5+9*3=72 OR 45=27=72 OR 72=72 12 CATS 4 WITCHERS OR 12*5+4*3=72 OR 60+12=72 OR 72=72
 Equations/54670: This question is from textbook Algebra1 Conceptsand Skills 8y-(8+6y)=201 solutions Answer 36921 by checkley71(8403)   on 2006-10-04 19:22:44 (Show Source): You can put this solution on YOUR website!8Y-(8+6Y)=20 8Y-8-6Y=20 2Y=20+8 2Y=28 Y=28/2 Y=14 PROOF 8*14-(8+6*14)=20 112-(8+84)=20 112-(92)=20 112-92=20 20=20
 Graphs/54682: Statistics. Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade. 1 solutions Answer 36918 by checkley71(8403)   on 2006-10-04 19:05:16 (Show Source): You can put this solution on YOUR website!70<=(75+63+68+X)/4 70<=(206+X)/4 280<=206+X 280-206<=X 74<=X HIS FINAL SCORE MUST BE AT LEAST 74 TO OBTAIN AN AVERAGE OF 70.