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# Recent problems solved by 'checkley77'

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 Graphs/240632: Please, How can I solve this problem? Find an equation for the line parallel to the line 3x-y=8 and containing the point(3,0). Express the answer using the the slope–intercept form.1 solutions Answer 176314 by checkley77(12569)   on 2009-11-19 08:44:00 (Show Source): You can put this solution on YOUR website!line parallel to the line 3x-y=8 and containing the point(3,0). 3x-y=8 -Y=-3X+8 Y=3X-8 (RED LINE) THIS LINE HAS A SLOPE=3. A PARALLLEL LINE ALSO HAS A SLOPE=3. 0=3*3+b 0=9+b b=-9 THE Y INTERCEPT. Y=3X-9 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x -8 and 3x -9).
 logarithm/240649: 7(1 divided by 7)^7-t=71 solutions Answer 176309 by checkley77(12569)   on 2009-11-19 08:22:51 (Show Source): You can put this solution on YOUR website!7(1/7)^7-t=7 7*1/823,543-T=7 7/823,543-T=7 -T=7-7/823,543 -T=7-.0000085 -T=6.999915 T=-6.999915 ANS.
 Linear-equations/240651: A line joins the points (-2,4) and (- 1, 1). The coordinates of the point where the line intersects the x-axis are: A. (0,-2); B. (-2,0); C. (-3/2,0); D. (-2/3,0); E. none1 solutions Answer 176307 by checkley77(12569)   on 2009-11-19 08:08:06 (Show Source): You can put this solution on YOUR website!(-2,4) and (- 1, 1). Y=mX+b M=(Y2-Y1)/(X2-X1)=(1-4)/(-1+2)=-3/1=-3 ANS. FOR THE SLOPE. 4=-3*-2+b 4=6+b B=4-6 b=-2 ANS. FOR THE Y INTERCEPT. Y=-3X-2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x -2). ANSWER. D) (-2/3,0)
 Linear-equations/240656: The points (6,12) and (0,-6) are connected by a straight line. Another point on this line is: A. (3, 3); B. (2, 1); C. (7, 16); D. (−1,−4); E.none1 solutions Answer 176305 by checkley77(12569)   on 2009-11-19 07:59:31 (Show Source): You can put this solution on YOUR website!(6,12) and (0,-6) Y=mX+b m=(Y2-Y1)/(X2-X1)=(-6-12)/(0-6)=-18/-6=3 ans. for the slope. -6=3*0+b -6=b the Y intercept. Y=3X-6 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -6). ANSWER: A(3,3)
 Numbers_Word_Problems/240661: the difference between two numbers is 16. three times the larger number is seven times the smaller1 solutions Answer 176304 by checkley77(12569)   on 2009-11-19 07:53:00 (Show Source): You can put this solution on YOUR website!X-Y=16 X=16+Y 3X=7Y REPLACE X BY (16+Y) 3(16+Y)=7Y 48+3Y=7Y 3Y-7Y=-48 -4Y=-48 Y=-48/-4 Y=12 ANS. FOR THE SMALLER NUMBER. X-12=16 X=16+12 X=28 ANS. FOR THE LARGER NUMBER. PROOF: 3*28=7*12 84=84
 Travel_Word_Problems/240662: One car traveling 40 Km/hr left a certain place 4 hours later than another car traveling in the same direction at the rate of 30 km/hr. In how many hours will the faster car overtake the other?1 solutions Answer 176302 by checkley77(12569)   on 2009-11-19 07:46:55 (Show Source): You can put this solution on YOUR website!D=RT D=30T D=40(T-4) SEEING AS THE 2 DISTANCES ARE THE SAME THEN: 30T=40(T-4) 30T=40T-160 30T-40T=160 -10T=-160 T=-160/-10 T=16 HOURS THEY WILL MEET. PROOF: 30*16=40(16-4) 480=40*12 480=480
 Rectangles/240486: The width of a rectangular painting is tw thirds of its length. If the perimeter is 60 inches then what are the length and width?1 solutions Answer 176236 by checkley77(12569)   on 2009-11-18 20:25:51 (Show Source): You can put this solution on YOUR website!W=2/3L 2W+2L=60 2(2L/3)+2L=60 4L/3+2L=60 (4L+3*2L)/3=60 (4L+6L)/3=60 10L/3=60 10L=3*60 10L=180 L=180/10 L=18 ANS. W=2/3*18 W=36/3=12 ANS. PROOF: 2*12+2*18=60 24+36=60 60=60
 Linear-equations/240492: the problem is to complete the table of oredered pairs for the equation and plot the ordered pairs for 3x+2y=6. They gave us for the first one x is 0 secord y is 0, the third x is 1, the fourth was y is 3. What I came up with was (o,3) (2,o) (4,3) I am not sure if I did it right. 1 solutions Answer 176232 by checkley77(12569)   on 2009-11-18 20:09:29 (Show Source): You can put this solution on YOUR website!x is 0 secord y is 0, the third x is 1, the fourth was y is 3. 3x+2y=6 3*0+2Y=6 0+2Y=6 2Y=6 Y=6/2 Y=3 ANS. (0,3) 3X+2*0=6 3X+0=6 X=6/3 X=2 ANS. (2,0) 3*1+2Y=6 3+2Y=6 2Y=6-3 2Y=3 Y=3/2 ANS. (3/2,2) 3X+2*3=6 3X+6=6 3X=6-6 3X=0 X=0 ANS. (0,3)
 Problems-with-consecutive-odd-even-integers/240500: find two consecutive even integers such that the larger,added to eight times the smaller, equals 110.i have tried to work out this problem but its very confusing for me.This is how i tried it x+2+8=110,x+10=110.then i minused the 10 from the 110.And my answer was x=100. 1 solutions Answer 176228 by checkley77(12569)   on 2009-11-18 20:00:52 (Show Source): You can put this solution on YOUR website!x+2+8=110 YOU FORGOT THAT THE Y MULTIPLIER FOR THE 8. LET X & X=2 BE THE 2 INTEGERS. (X+2)+8X=110 9X+2=110 9X=110-2 9X=108 X=108/9 X=12 ANS. PROOF: 12+2=14 ANS. FOR THE LARGER INTEGER. 14+8*12=110 14+96=110 110=110
 Travel_Word_Problems/240511: I need to solve the following word problem using the system of linear equations in two variables. The word problem I am having trouble with is: Traveling with the current, a canoe can go 48 miles in 4 hours. traveling against the current, it takes 6 hours to go the same distance. find the speed of the canoe in still water. I came up with the following linear equations: 12=x+y for speed of canoe with current 8=x-y for speed of canoe against current I solved for each variable and came up with x=10, y=2. My question is which one is the correct answer for finding the speed of the canoe in still water? My thought is it is x=10. Please help1 solutions Answer 176216 by checkley77(12569)   on 2009-11-18 19:29:47 (Show Source): You can put this solution on YOUR website!D=RT OR R=D/T R=48/4=12 MPH WITH THE CURRENT. R=48/6=8 MPH AGAINST THE CURRENT (12-8)/2=4/2=2 MPH IS THE RATE OF THE CURRENT. PROOF: 12-2=10 MPH SPEED OF THE CANOE IN STILL WATER. 8+2=10 DITTO.
 Travel_Word_Problems/240512: I need to solve the following word problem using the system of linear equations in two variables. The word problem I am having trouble with is: Traveling with the current, a canoe can go 48 miles in 4 hours. traveling against the current, it takes 6 hours to go the same distance. find the speed of the canoe in still water. I came up with the following linear equations: 12=x+y for speed of canoe with current 8=x-y for speed of canoe against current I solved for each variable and came up with x=10, y=2. My question is which one is the correct answer for finding the speed of the canoe in still water? My thought is it is x=10. Please help1 solutions Answer 176214 by checkley77(12569)   on 2009-11-18 19:28:24 (Show Source): You can put this solution on YOUR website!D=RT OR R=D/T R=48/4=12 MPH WITH THE CURRENT. R=48/6=8 MPH AGAINST THE CURRENT (12-8)/2=4/2=2 MPH IS THE RATE OF THE CURRENT. PROOF: 12-2=10 MPH SPEED OF THE CANOE IN STILL WATER. 8+2=10 DITTO.
 Equations/240443: Solve the equation. (y - 11) - (y + 6) = 8y 1 solutions Answer 176210 by checkley77(12569)   on 2009-11-18 19:18:19 (Show Source): You can put this solution on YOUR website!(y - 11) - (y + 6) = 8y Y-Y-8Y=11+6 -8Y=17 Y=17/-8 Y=-17/8 ANS.
 Miscellaneous_Word_Problems/240450: the sum of a number and 24 is equal to 4 times the number. what is the number1 solutions Answer 176207 by checkley77(12569)   on 2009-11-18 19:14:07 (Show Source): You can put this solution on YOUR website!X+24=4X X-4X=-24 -3X=-24 X=-24/-3 X=8 ANS. PROOF: 8+24=4*8=32=32
 Graphs/240458: solve use reduced fractions not decimals x-2/2+1/3=x/61 solutions Answer 176206 by checkley77(12569)   on 2009-11-18 19:11:32 (Show Source): You can put this solution on YOUR website!x-2/2+1/3=x/6 X-1+1/3-X/6=0 X-X/6=1-1/3 6X/6-X/6=3/3-1/3 5X/6=2/3 CROSS MULTIPLY 3*5X=6*2 15X=12 X=12/15 X=4/5 ANS. PROOF: 4/5-1+1/3=(4/5)/6 12/15-15/15+5/15=(4/5)*1/6 2/15=4/30 2/15=2/15
 Linear-equations/240461: An orange contains about 80 milligrams of vitamin C, which is 10 times as much as an apple contains. Write and solve an equation to find the amount of vitamin C in an apple.1 solutions Answer 176204 by checkley77(12569)   on 2009-11-18 19:04:00 (Show Source): You can put this solution on YOUR website!80=10X X=80/10 X=8 MG OF VITAMIN C IN AN APPLE.
 Quadratic_Equations/240469: a farmer with 4000 meters of fencing wants to encloce a rectangular plot that borders on a river. *if the farmer does not fence the side along the river, what is the largest area that can be enclosed? *provide the area function used and graph it. Identify the maximum and interpret what it means.1 solutions Answer 176203 by checkley77(12569)   on 2009-11-18 19:00:56 (Show Source): You can put this solution on YOUR website!THIS IS A SPECIAL CASE WHERE THE LENGTH IS TWICE THE WIDTH & THERE IS ONLY 1 LENGTH BUT 2 WIDTHS. L=2W 2W+L=4,000 2W+2W=4,000 4W=4,000 W=4,000/4 W=1,000 ANS. FOR THE EACH OF THE WIDTHS. L=2*1,000=2,000 ANS. FOR THE 1 LENGTH. PROOF: 2*1,000+2,000=4,000 2,000+2,000=4,000 4,000=4,000 PROOF: 1,000*2,000=2,000,000 TOTAL AREA. TEST: ADD 2 TO THE LENGTH & SUBTRACT 1 FROM EACH OF THE SIDES. 2002*999=1.999,998 ADD 1 TO EACH OF THE WIDTHS & SUBTRACT 2 FROM THE LENGTH. 1998+1001=1,999,998
 Quadratic_Equations/240473: A rectangular garden is 20 ft longer than it is wide. Its area is 2925 . What are its dimensions?1 solutions Answer 176189 by checkley77(12569)   on 2009-11-18 18:18:26 (Show Source): You can put this solution on YOUR website!W=L+20 LW=2925 L(L+20)=2925 L^2+20L-2925=0 (L-45)(L+65)=0 L-45=0 L=45 FT. IS THE LENGTH. W=45+20=65 FT. IS THE WIDTH. PROOF: 45*65=2925 2925=2925
 Reduction-of-unit-multipliers/240480: what are two unit multipliers to convert 300 square inches to square feet.1 solutions Answer 176184 by checkley77(12569)   on 2009-11-18 18:14:00 (Show Source): You can put this solution on YOUR website!300/12*12=300/144=2 1/12 ft^2. or 2.08333 ft.
 Linear-equations/240482: Write an equation in slope-intercept form with the given slope that contains the given point. slope=-1/2;(-3,4)1 solutions Answer 176178 by checkley77(12569)   on 2009-11-18 18:09:53 (Show Source): You can put this solution on YOUR website!slope=-1/2;(-3,4) Y=mX+b 4=-1/2*-3+b 4=3/2+b b=4-3/2 b=8/2-3/2 b=5/2=2.5 ans. for the Y intercept. Y=-X/2+2.5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x/2 +2.5).
 Inequalities/240481: Solve The Inequality 6x<121 solutions Answer 176172 by checkley77(12569)   on 2009-11-18 18:06:28 (Show Source): You can put this solution on YOUR website!6x<12 x<12/6 x<2 ans.
 Linear-equations/240395: How do I solve y = 2/3x + 1 (2/3 is a fraction)1 solutions Answer 176171 by checkley77(12569)   on 2009-11-18 18:05:10 (Show Source): You can put this solution on YOUR website!y=2x/3+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x/3 +1).
 Triangles/240409: Each of the equal sides of an isoceles (two sides equal) triangle is 2 times the third side. The perimeter of the triangle is 20m. Find the sides of the triangle.1 solutions Answer 176169 by checkley77(12569)   on 2009-11-18 18:02:41 (Show Source): You can put this solution on YOUR website!2X+2X+X=20 5X=20 X=20/5 X=4 LENGTH OF THE THIRD SIDE 2*4=8 LENGTH OF THE 2 EQUAL SIDES. PROOF: 8+8+4=20 20=20
 Money_Word_Problems/240411: A cashier has only five-dollar and twenty-dollar bills in her register. If the register contains 19 bills worth \$215, how many five-dollar bills does she have?1 solutions Answer 176166 by checkley77(12569)   on 2009-11-18 17:58:53 (Show Source): You can put this solution on YOUR website!T+F=19 OR T=19-F 20T+5F=215 20(19-F)+5F=215 380-20F+5F=215 -15F=215-380 -15F=-165 F=-165/-15 F=11 FIVE DOLLAR BILLS. 19-11=8 20 DOLLAR BILLS. PROOF: 20*8+5*11=215 160+55=215 215=215
 Linear-equations/240417: if you have the corridents (1, 6) (4,r) and m=3 how do you find r1 solutions Answer 176163 by checkley77(12569)   on 2009-11-18 17:54:18 (Show Source): You can put this solution on YOUR website!(1, 6) (4,r) and m=3 SLOPE=(Y2-Y1)/X2-X1) 3=(R-6)/(4-1) 3=(R-6)/3 R-6=3*3 R-6=9 R=9+6 R=15 ans. PROOF: 3=(15-6)/4-1) 3=9/3 3=3
 Linear-equations/240418: y = x-21 solutions Answer 176160 by checkley77(12569)   on 2009-11-18 17:50:17 (Show Source): You can put this solution on YOUR website!y = x-2 (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, x -2 ).
 Human-and-algebraic-language/240422: At General Electric, shift 1 produced 4 times as much as shift 2. General Electric’s total production for the month of July was 5,500 jet engines. What was the output for each shift?1 solutions Answer 176158 by checkley77(12569)   on 2009-11-18 17:47:19 (Show Source): You can put this solution on YOUR website!4X+X=5,500 5X=5,500 X=5,500/5 X=1,100 ANS. FOR THE OUTPUT FOR THE SHIFT 2. 5,500-1,100=4,400 ANS. FOR THE OUTPUT FOR THE SHIFT 1.
 Rectangles/240425: a rectangle has a perimeter of 78 in. its length is 6 in more than twice its length.1 solutions Answer 176157 by checkley77(12569)   on 2009-11-18 17:43:48 (Show Source): You can put this solution on YOUR website!L=2W+6 2L+2W=78 2(2W+6)+2W=78 4W+12+2W=78 6W=78-12 6W=66 W=66/6 W=11 ANS. L=2*11+6 L=22+6 L=28 ANS. PROOF: 2*28+2*11=78 56+22=78 78=78
 Numbers_Word_Problems/240426: Three consecutive even integers are such that the product of the first twois 6 less than 9 time the third. Find the integers.1 solutions Answer 176156 by checkley77(12569)   on 2009-11-18 17:40:45 (Show Source): You can put this solution on YOUR website!LET X, X+2 & X+4 BE THE 3 CONSECUTIVE INTEGERS. X(X+2)=9(X+4)-6 X^2+2X=9X+36-6 X^2+2X-9X-36+6=0 X^2-7X-30=0 (X-10)(X+3)=0 X-10=0 X=10 ANS. FOR THE SMALLER INTEGER. 10+2=12 ANS. FOR THE MIDDLE INTEGER. 10+4=14 ANS. FOR THE LARGEST INTEGER. PROOF: 10*12=9*14-6 120=126-6 120=120 X+3=0 X=-3 ANS. FOR THE SMALLEST INTEGER. -3+2=-1 ANS. FOR THE MIDDLE INTEGER. -3+4=1 ANS. FOR THE LARGEST INTEGER. PROOF: -3*-1=9*1-6 3=9-6 3=3
 Quadratic_Equations/240431: if a rectangle has an area of 117cm2 and a perimeter of 44cm what is it's length and breadth1 solutions Answer 176152 by checkley77(12569)   on 2009-11-18 17:28:51 (Show Source): You can put this solution on YOUR website!LW=117 L=117/W 2L+2W=44 2(117/W)+2W=44 234/W+2W=44 (234+2W^2/W=44 (234+2W^2)/W=44 2W^2+234=44W 2W^2-44W+234=0 2(W^2-22W+117)=0 2(W-13)(W-9)=0 W-13=0 W=13 ANS. L*13=117 L=117/13 L=9 ANS 2*9+2*13=44 18+26=44 44=44 PROOF:
 Square-cubic-other-roots/240380: square roots: 500 + 3001 solutions Answer 176136 by checkley77(12569)   on 2009-11-18 16:47:16 (Show Source): You can put this solution on YOUR website!SQRT(500+300) SQRT800=28.28427 ANS.
 percentage/240381: 1. how do you convert 3/7 to a percentage? (round to the nearest tenth if needed)? 2. How do you convert 0.89 to a percentage? 3. How do you convert 5% into a fraction and reduced to lowest term? 4) 100 is 85% of ?1 solutions Answer 176135 by checkley77(12569)   on 2009-11-18 16:45:25 (Show Source): You can put this solution on YOUR website!convert 3/7 to a percentage? 3/7=.4 ANS. -------------------------------- convert 0.89 to a percentage? .89=89% ANS. ------------------------------- convert 5% into a fraction and reduced to lowest term? 5%=.05=5/100=1/20 ANS. -------------------------------- 100 is 85% of ? 100/.85=117.647 ANS. --------------------------------