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# Recent problems solved by 'checkley75'

checkley75 answered: 3664 problems
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 Miscellaneous_Word_Problems/88809: Three oranges cost half of what nine apples cost. If one orange and one apple together cost 30 cents how much does one orange cost. This question is not from a textbook-the instructor gave it to us. A+O=.30 THEN A=.30-O 3O=9A/2 3O=9(.30-O)/2 3O=(2.7-9O)/2 3O=(2.7-9O)/2 6O=2.7-9O 60+9O=2.7 15O=2.7 O=2.7/15 O=.18 FOR EACH ORANGE. A=30-18 A=12. PROOF 3*.18=9*.12/2 .54=1.08/2 .54=.54 1 solutions Answer 64534 by checkley75(3666)   on 2007-07-17 15:58:37 (Show Source): You can put this solution on YOUR website!A+O=.30 THEN A=.30-O 3O=9A/2 3O=9(.30-O)/2 3O=(2.7-9O)/2 3O=(2.7-9O)/2 6O=2.7-9O 60+9O=2.7 15O=2.7 O=2.7/15 O=.18 FOR EACH ORANGE. A=30-18 A=12. PROOF 3*.18=9*.12/2 .54=1.08/2 .54=.54
 Money_Word_Problems/88810: The cost of a fish dinner to the owner of the Golden Wharf restaurant is \$7.95, the fish dinner is sold for \$11.95. Find the percent markup?1 solutions Answer 64532 by checkley75(3666)   on 2007-07-17 15:39:44 (Show Source): You can put this solution on YOUR website!11.95/7.95=1.503=50.3% MARKUP.
 Numeric_Fractions/88813: What is the factor: 10xy + 12xm -8xw1 solutions Answer 64531 by checkley75(3666)   on 2007-07-17 15:37:51 (Show Source): You can put this solution on YOUR website!10XY+12XM-8XM=2X(5Y+6M-4M)
 Percentage-and-ratio-word-problems/88814: I need help on this problem for my summer honors work. A baseball park has 40,000 seats of which 13,040 are box seats and 18,200 are reserved seats. What percent of the seats are box seats? Reserved seats? I already tried to put 40,000 times X%=13,040 but it gave me the wrong answer so if you could help me i would greatly appreciate it, thank you. 1 solutions Answer 64530 by checkley75(3666)   on 2007-07-17 15:35:53 (Show Source): You can put this solution on YOUR website!13040/40000=.326 OR 32.6% ARE BOX SEATS. 18200/40000=.455 OR 45.5% ARE RESERVED SEATS.
 Expressions-with-variables/88768: If Joy's age now is 3 times her age 14 years ago, how old is she now?1 solutions Answer 64518 by checkley75(3666)   on 2007-07-17 10:31:13 (Show Source): You can put this solution on YOUR website!3X=X+14 2X=14 X=14/2 X=7 IS HER AGE 14 YEARS AGO THEREFORE SHE IS NOW 7+14=21 YEARS OLD.
 test/88750: write the equation of the line passing through each of the given pairs of points. Write your results in slope intercept form where possible. #20 is: (-1,3) and (4,-2) #24 is: (2,-3) and (2,4) Thanks!1 solutions Answer 64517 by checkley75(3666)   on 2007-07-17 10:27:32 (Show Source): You can put this solution on YOUR website!20) SLOPE=(-2-3)/(4+1)=-5/5=-1 NOW SUBSTITUTE 1 SET OF POINTS & SOLVE FOR THE Y INTERCEPT. 3=-1*1+b 3=-1+b b=3+1 b=4 Y=X+4 ANSWER. ---------------------------------------------------------- 24) SLOPE=(4+3)/(2-2)=7/0 THIS REPRESENTS A VERTICLE LINE THROUGH X=2 THUS THE EQUATION IS X=2.
 Inverses/88754: how do I solve this question Multiply. 2y^3 * 5y^6 1 solutions Answer 64516 by checkley75(3666)   on 2007-07-17 10:02:58 (Show Source): You can put this solution on YOUR website!2Y^3*5Y^6=10Y^9
 Polynomials-and-rational-expressions/88755: -x^2 - 5x - 6, x= -3 and x= -2 find the values of the following polynomials for the given values of the variable.1 solutions Answer 64515 by checkley75(3666)   on 2007-07-17 10:01:01 (Show Source): You can put this solution on YOUR website!-X^2-5X-6 FOR X=-3 WE GET: -(-3)^2-(5*-3)-6 -9+15-6=0 --------------------------- -(-2)^2-(5*-2)-6 -4+10-6=0 ---------------------------
 decimal-numbers/88756: how will you make 1.234 into fraction?1 solutions Answer 64514 by checkley75(3666)   on 2007-07-17 09:56:16 (Show Source): You can put this solution on YOUR website!1.234=1234/1000 REDUCES TO 617/500
 Equations/88758: A=3B(2+D) MAKE D THE SUBJECT OF THE FORMULA (X-2)(3X-X)= CAN YOU PLEASE ANSWER THESE TWO 1 solutions Answer 64513 by checkley75(3666)   on 2007-07-17 09:53:44 (Show Source): You can put this solution on YOUR website!A=3B(2+D) A=6B+3BD 3BD=A-6B [SORRY I MISTAKENLY SUBSTITUTED 1 FOR "A". A TYPO] D=(A-6B)/3B ----------------------------------------------- (X-2)(3X-X)=(X-2)(2X)=2X^2-4X
 Travel_Word_Problems/88697: At 10:00 a.m. planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320mph, at what time will they be 1,000 miles apart?1 solutions Answer 64463 by checkley75(3666)   on 2007-07-16 20:21:17 (Show Source): You can put this solution on YOUR website!280T+320T=1000 600T=1000 T=1000/600 T=1 2/3 HOURS THEY WILL BE 1000 MILES APART OR @ 11:40 AM.
 Numeric_Fractions/88698: Estimate the following sum 4 1/9 + 7 9/10 + 2 1/7 + 5 7/81 solutions Answer 64461 by checkley75(3666)   on 2007-07-16 20:16:51 (Show Source): You can put this solution on YOUR website!4+8+2+6~20
 Money_Word_Problems/88701: The gas tank in Giorgio's car holds 23 gal when full. The car gets 30 mi/gal. How far can he travel on 2 full tanks?1 solutions Answer 64459 by checkley75(3666)   on 2007-07-16 20:14:50 (Show Source): You can put this solution on YOUR website!30(2*23)=30*46=1380 MILES CAN BE DRIVEN WITH 2 FULL TANKS OF GAS.
 Mixture_Word_Problems/77863: martina leaves home at 9am, bicycling at a rate of 24mi/h. Two hours later, john leaves, driving at the rate of 48 mi/h. at what time will john catch up with martina?1 solutions Answer 64456 by checkley75(3666)   on 2007-07-16 19:31:46 (Show Source): You can put this solution on YOUR website!24X=48(X-2) 24X=48X-96 24X-48X=-96 -24X=-96 X=-96-24 X=4 IN HOURS AFTER 9:AM THEY WILL MEET @1:00 PM.
 Surface-area/88655: The length of a rectangle is 7/8 yd, and its width is 32/49 yd. What is its area in square yards?1 solutions Answer 64455 by checkley75(3666)   on 2007-07-16 19:23:26 (Show Source): You can put this solution on YOUR website!7/8*32/49=7*32/8*49=224/392=.57143 SQYDS.
 Travel_Word_Problems/88688: At 2:00 p.m. two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other, how fast does each car go,of they meet at 5:00p.m.?1 solutions Answer 64454 by checkley75(3666)   on 2007-07-16 19:17:33 (Show Source): You can put this solution on YOUR website!THEY MEET AFTER THREE HOURS FROM THE START & EACH TRAVEL FOR 3 HOURS. ONE TRAXELS @ X MPH & THE OTHER @ (X+10) MPH. 240=3X+3(X+10) 240=3X+3X+30 6X=240-30 6X=210 X=210/6 X=35 MPH FOR THE SLOWER CAR. 35+10=45 MPH FOR THE FASTER CAR. PROOF 240=3*35+3*45 240=105+135 240=240
 Mixture_Word_Problems/88659: Pool problems: A) Directions say to add 1 gallon of algae guard for every 50,000 gallons of water for the initial application. My pool currently contains 3,800 gallons. How much algae guard do I need to apply for the initial treatment of the pool in ounces? B) Second part of instrutions say to add 1 quart per 10,000 gallons every 3-5 days. How much algae guard do I add to my pool every 3-5 days in ounces?1 solutions Answer 64453 by checkley75(3666)   on 2007-07-16 19:11:40 (Show Source): You can put this solution on YOUR website!SET UP A PAIR OF FRACTION SHOWING THE RELATIONSHIP OF BOTH MIXES THUS: 1/50000=X/3800 NOW WE CROSS MULTIPLY. 50000X=3800 X=3800/50000 X=.076 GALLONS ARE NEEDED. .076*8=.608 LBS. .608*16=9.728 OZ. -------------------------------------------- 1/10000=X/3800 10000X=3800 X=3800/10000 X=.38 QUARTS. .38*32=12.16 OUNCES.
 Expressions-with-variables/88660: 7 less than 4 times a number1 solutions Answer 64451 by checkley75(3666)   on 2007-07-16 18:49:43 (Show Source): You can put this solution on YOUR website!4N-7 IS 7 LESS THAN 4 TIMES A NUMBER (N).
 Coordinate-system/88677: Graph the following equations and determine the solutions, if there are any y= 3x squared + 3x - 6 I don't remenber how to do it!1 solutions Answer 64449 by checkley75(3666)   on 2007-07-16 18:39:22 (Show Source): You can put this solution on YOUR website!Y=3X^2+3X+6 YOU SOLVE THIS BY SETTING X=0,1,-1,2,-2,3,-3,4,-4,5,-5 ETC. & SOLVE FOR Y. THEN PLOT THE PAIR OF POINTS. IF DONE CORRECTLY YOU SHOULD GET THE GRAPH THAT FOLLOWS: (graph 300x400 pixels, x from -6 to 5, y from -10 to 20, y = 3x^2 +3x +6).
 Coordinate-system/88676: graph: y= -x - 2x - 41 solutions Answer 64448 by checkley75(3666)   on 2007-07-16 18:31:53 (Show Source): You can put this solution on YOUR website!Y=-X-2X-4 Y=-3X-4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x -4).
 Linear-systems/88662: This question is from textbook Intermediate algebra I tried to work the problem and couldn't come up with the same answer that the book has. I just want to know how to work the problem so that I can get the right answer. The book has the answer as (4,3), and I don't understand how it was gotten. Here is the problem, 3x-2y=6 over y=3 the instructions say to solve by graphing. 1 solutions Answer 64447 by checkley75(3666)   on 2007-07-16 18:28:42 (Show Source): You can put this solution on YOUR website!FIRST WE NEED TO PUT THESE EQUATION INTO THE LINE EQUATION FORM Y=mX+b WHERE (m)=SLOPE & (b)= Y INTERCEPT. 3X-2Y=6 -2Y=-3X+6 Y=-3X/-2+6/-2 Y=3X/2-3 (RED LINE) Y=3 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x/2 -3 and y = 3). NOTE: THE INTERSECTION OF THESE 2 LINES IS (4,3) WHICH IS THE SOLUTION.
 real-numbers/88666: 1/3+(-5/6) + (-1/2) =? {-27+14}=? -1/2-(5/8)=? -3.4-(7.6)=? 1 solutions Answer 64446 by checkley75(3666)   on 2007-07-16 18:20:46 (Show Source): You can put this solution on YOUR website!1/3+(-5/6)+(-1/2)=1/3-5/6-1/2 now we need to find a common denominator for 3,6 & 2. 6 is the LCD. (1*2-5-3*1)/6=(2-5-3)/6=-6/6=-1 ----------------------------------------------- -27+14=-13 ------------------------------------------------- -1/2-5/8 the common denominator hjere is 8 (-1*4-5)/8=(-4-5)/8=-9/8=-1 1/8 ------------------------------------------------- -3.4-7.6=-11
 Linear-systems/88553: Find the coordinates of the y intercept of 3x-5y=101 solutions Answer 64390 by checkley75(3666)   on 2007-07-15 21:03:33 (Show Source): You can put this solution on YOUR website!3x-5y=10 -5y=-3x+10 y=-3x/-5+10/-5 y=3x/5-2 thus (-2) is the y intercept. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3x/5 -2).
 Polynomials-and-rational-expressions/88543: 4xsquared - 2xsquared + (-8xsquared)1 solutions Answer 64387 by checkley75(3666)   on 2007-07-15 20:42:40 (Show Source): You can put this solution on YOUR website!4X^2-2X^2+(-8X^2)=-6X^2
 Functions/88549: 5/2x+3=1/x-61 solutions Answer 64386 by checkley75(3666)   on 2007-07-15 20:40:53 (Show Source): You can put this solution on YOUR website!5/(2x+3)=1/(x-6) if this is what you have? Then we need to cross multiply. 2x+3=5(x-6) 2x+3=5x-30 2x-5x=-3-30 -3x=-33 x=-33/-3 x=11 answer. proof: 5/(2*11+3)=1/(11-6) 5/(22+3)=1/5 5/25=1/5 again cross multiply: 25=25 ------------------------------------------------------- HOWEVER: IF YOU HAVE (5/2X)+3=(1/X)-6 THEN WE HAVE A TOTALLY DIFFERENT PROBLEM. tHUS: (5/2X)-(1/X)=-3-6 (5-2*1)/2X=-9 (5-2)/2X=-9 3/2X=-9 NOW WE CROSS MULTIPLY: -18X=3 X=3/-18 X=-1/6 ANSWER.
 Mixture_Word_Problems/88548: The number N of guests that arrive at a mall food court each hour can be approximated by N = -12x2 + 110x + 35, where x is the number of hours after 11:00 a.m. At what times, to the nearest minute, are 200 guests per hour arriving at the food court? 1 solutions Answer 64385 by checkley75(3666)   on 2007-07-15 20:28:21 (Show Source): You can put this solution on YOUR website!200=-12x^2+110x+35 -12x^2+110x+35-200=0 12x^2-110x+165=0 using the quadratic equation we get: x=(110+-sqrt[110^2-4*12*165])/2*12 x=(110+-sqrt[12100-7920])/24 x=(110+-sqrt4180)/24 x=(110+-64.65)/24 x=(110+64.65)/24 x=174.65/24 x=7.28 hours or 7 hours & 17 minutes after 11:00 am. is one answer. x=(110-64.65)/24 x=45.35/24 x=1.9 or 1 hour & 54 minutes after 11:00 am is the other answer.
 Linear-systems/88547: The graph of y = 2x + 7 is: A.The same as the graph of y = 2x moved to the right 7 on the x axis B.The same as the graph of y = 2x moved to the left 7 on the x axis C.The same as the graph of y = 2x moved up 7 on the y axis. D.The same as the graph of y = 2x moved down 7 on the y axis. 1 solutions Answer 64384 by checkley75(3666)   on 2007-07-15 20:16:19 (Show Source): You can put this solution on YOUR website!y=2x+7 (red line) y=2x (green line (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x +7 and y = 2x). It would appear from the 2 graphs that the line is moved up the y axix 7 places. Thus answer C) is correct.
 Rational-functions/88204: Please help me with this question: Find the LCD for this rational expression and convert the rational expression int an equivalent rational expression with the LCD as the denominator: __4___ ___5x___ x-y’ 2y-2x 1 solutions Answer 64361 by checkley75(3666)   on 2007-07-15 16:57:55 (Show Source): You can put this solution on YOUR website!IF YOUR ADDING THEN: 4/(X-Y)+5X/-2(X-Y) (4*-2+5X)/-2(X-Y) (-8+5X)/-2(X-Y)
 Polynomials-and-rational-expressions/88496: (2x-5)^1 solutions Answer 64360 by checkley75(3666)   on 2007-07-15 16:48:37 (Show Source): You can put this solution on YOUR website!I BELIEVE YOU FORGOT TO ADD THE POWER ^ VALUE. ADD & THEN RESUBMIT.
 Linear-equations/88510: rewrite the equation 4x-6y=-30 as a function of x1 solutions Answer 64359 by checkley75(3666)   on 2007-07-15 16:46:52 (Show Source): You can put this solution on YOUR website!4X-6Y=-30 4X=6Y-30 X=6Y/4-30/4 X=3Y/2-15/2
 Rectangles/88513: The length of a rectangle is 5in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle. 1 solutions Answer 64358 by checkley75(3666)   on 2007-07-15 16:44:57 (Show Source): You can put this solution on YOUR website!LENGTH=(2W+5) 2L+2W=52 2(2W+5)+2W=52 4W+10+2W=52 6W=52-10 6W=42 W=42/6 W=7 INCHES IS THE WIDTH. PROOF 2(2*7+5)+2*7=52 2(14+5)+14=52 2*19+14=52 38+14=52 52=52