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# Recent problems solved by 'checkley77'

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 decimal-numbers/263547: Express the decimal number 4693 as a binary number?1 solutions Answer 194212 by checkley77(12569)   on 2010-01-31 17:48:53 (Show Source): You can put this solution on YOUR website!4693=1001001010101 OR 4096 &512 &&64 &&16 &&&4 &&&1 ------ 4693
 Square-cubic-other-roots/263552: solve by completing the square: x^2 + 5x -8=01 solutions Answer 194206 by checkley77(12569)   on 2010-01-31 17:40:30 (Show Source): You can put this solution on YOUR website!x^2 + 5x -8=0 X^2+5X+25/4=8+25/4 (X+5/2)^2=(4*8+25)/4 (X+5/2)^2=(32+25)/4 (X+5/2)^2=57/4 ANS.
 Miscellaneous_Word_Problems/263555: the owner of an apple orchard ships apples in boxes that weigh 2 kilograms when empty.the average apple weighs 0.25 kilograms and the total weight of a box filled with apples is 12 kilograms. How many appls are packed in each box?1 solutions Answer 194203 by checkley77(12569)   on 2010-01-31 17:36:03 (Show Source): You can put this solution on YOUR website!2+.25X=12 .25X=12-2 .25X=10 X=10/.25 X=40 APPLES PER BOX. PROOF: 2+.25*40=12 2+10=12 12=12
 Proportions/263556: 8=X/3-8 I KNOW U ADD 8 FROM BOTH SIDES BUT THEN WHAT1 solutions Answer 194202 by checkley77(12569)   on 2010-01-31 17:33:48 (Show Source): You can put this solution on YOUR website!8=X/3-8 ADD 8 16=X/3 CROSS MULTIPLY X=16*3 X=48 ANS. PROOF: 8=48/3-8 8=16-8 8=8
 percentage/263549: here is the qusetion The pie chart below represents the number of students enrolled at each course at Lakeside High School. Using this information, find the percentage of students enrolled in History. Round your answer to the nearest tenth of a percent. Math:57 History:117 English:93 Chemistry:361 solutions Answer 194201 by checkley77(12569)   on 2010-01-31 17:31:00 (Show Source): You can put this solution on YOUR website!Math:57 History:117 English:93 Chemistry:36 TOTAL=57+117+93+36=303 STUDENTS. 117/303=.386=38.6 % OF THE STUDENTS WERE ENROLLED IN HISTORY.
 Linear_Equations_And_Systems_Word_Problems/263443: In 1996 there were 3927 J.C. Penney stores and in 2000 there were 3800 stores. Write a linear equation that gives the number of stores in terms of the year. Let t=0 represent 1996. Then predict the numbers of stores for the years 2005 and 2010.1 solutions Answer 194199 by checkley77(12569)   on 2010-01-31 17:25:34 (Show Source): You can put this solution on YOUR website!Y=mX+b WHERE m=SLOPE & b=THE Y INTERCEPT. USING THE POINTS (0,3927) & (4,3800) SLOPE=(3800-3927)/(4-0) SLOPE=-127/4 SLOPE=-31.75 3927=-31.75*0+b 3927=b b=3927 Y=mX+b Y(9)=-31.75*0+3927 Y=-31.75X+3927 Y=-31.45*9+3927 Y=-285.75+3927 Y=3641.25 STORES IN 2005. Y(14)=-31.75*14+3927 Y=-444.50+3927 Y=3482.5 STORES IN 2010
 Money_Word_Problems/263445: An employee who produces x units per hour earns an hourly wage of y=0.95x + 7 (in dollars). Find the hourly wage for an employee who produces 6 units per hour. Answers: A). \$13.20 B). \$12.40 c). \$13.10 d). \$12.70 1 solutions Answer 194188 by checkley77(12569)   on 2010-01-31 16:30:59 (Show Source): You can put this solution on YOUR website!y=0.95x + 7 WHEN X=6: Y=.95*6+7 Y=5.70+7 Y=\$12.70 IS THE HOURLY WAGE. ANSWER D)
 Unit_Conversion_Word_Problems/263446: An auto has a gas mileage of 25.6 mi/gallon. How many kilometers can it travel on 1.5 L of gas? 1.61 km= 1 mile 3.79L= 1 gallon I have tried this several ways..i have no idea. I divided 25.6 by 1.61 and got 15.9 km. Then i multiplied 15.9km by 1.5L and divided by 3.79L.....no clue1 solutions Answer 194187 by checkley77(12569)   on 2010-01-31 16:26:44 (Show Source): You can put this solution on YOUR website!25.6*1.61=41.216 KM. PER GAL. (41.216/3.79)=10.875 KM PER LITEER. 10.875*1.5=16.31 KM ON 1.5 LITERS OF GAS.
 Polynomials-and-rational-expressions/263460: Add, simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers. (sqrt10a) + (2sqrt250a^3)1 solutions Answer 194179 by checkley77(12569)   on 2010-01-31 16:07:55 (Show Source): You can put this solution on YOUR website!(sqrt10a) + (2sqrt250a^3) SQRT10A+2*5A^2SQRT10A 5SQRT10A+10A^2SQRT10A (5+10A^2)(SQRT10A) 5(1+2A^2)(SQRT10A)
 Probability-and-statistics/263461: An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobile are available?1 solutions Answer 194177 by checkley77(12569)   on 2010-01-31 16:03:35 (Show Source): You can put this solution on YOUR website!7*6*4*5=840 POSSIBLE VARIETIES OF CARS ARE AVAILABLE.
 Mixture_Word_Problems/263463: Find the cost per ounce of a sunscreen made from 130 oz of lotion that cost \$3.41 per ounce and 90 oz of lotion that cost \$11.99 per ounce.1 solutions Answer 194174 by checkley77(12569)   on 2010-01-31 16:01:01 (Show Source): You can put this solution on YOUR website!3.41*130+11.99*90=220X 443.30+1,079.10=220X 1,522.4=220X X=1,522.4/220 X=\$6.92 COST OF THE MIXTURE PER OZ. PROOF: 3.41*130+11.99*90=220*6.92 443.30+1,079.10=1,522.40 1,522.40=1,522.40
 Linear_Equations_And_Systems_Word_Problems/263464: Write the equation of a line with the slope of -2 which contains the point (3,6) 1 solutions Answer 194172 by checkley77(12569)   on 2010-01-31 15:55:46 (Show Source): You can put this solution on YOUR website!slope=-2 through (3,6) Y=mX+b 6=-2*3+b 6=-6+b b=6+6 b=12 the Y intercept. Y=-2x+12 is the line equation. (graph 300x200 pixels, x from -6 to 10, y from -10 to 15, -2x +12).
 Graphs/263466: Solve this equation 3x -9 =3y1 solutions Answer 194169 by checkley77(12569)   on 2010-01-31 15:51:19 (Show Source): You can put this solution on YOUR website!3x -9 =3y 3Y=3X-9 Y=3X/3-9/3 Y=X-3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x -3).
 Rectangles/263469: The length of a rectangular board is 9 meters greater than the width. If the perimeter of the board is 26 meters, then what are the length and the width? 1 solutions Answer 194167 by checkley77(12569)   on 2010-01-31 15:46:55 (Show Source): You can put this solution on YOUR website!L=W+9 2L+2W=26 2(W+9)+2W=26 2W+18+2W=26 4W=26-18 4W=8 W=8/4 W=2 ANS. FOR THE WIDTH. L=2+9=11 ANS. FOR THE LENGTH. PROOF: 2*11+2*2=26 22+4=26 26=26
 Linear-systems/263475: Can you help me find the point slope form of this equation? (6,2) and m= 1/2 Thanks!1 solutions Answer 194166 by checkley77(12569)   on 2010-01-31 15:43:46 (Show Source): You can put this solution on YOUR website!(6,2) and m= 1/2 Y=mX+b where m=slope & b=the Y intercept. 2=6/2+b 2=3+b b=2-3 b=-1 the Y intercept. Y=X/2-1 is the line equation. (graph 300x200 pixels, x from -6 to 8, y from -10 to 10, x/2 -1).
 Linear-systems/263478: How would you graph this? -x -y =3 1 solutions Answer 194163 by checkley77(12569)   on 2010-01-31 15:37:53 (Show Source): You can put this solution on YOUR website!-x -y =3 -Y=X+3 Y=-X-3 THE Y INTERCEPT=(0,-3) SETTING Y=0 & SOLVE FOR X WE GET: 0=-X-3 X=-3 THE X INTERCEPT=(-3,0) PLOT THESE 2 INTERCEPTS & DRAW THE LINE BETWEEN THEM. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x -3).
 Word_Problems_With_Coins/263481: a coin bank containe nickels, dimes, and quarters totaling \$5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank?1 solutions Answer 194160 by checkley77(12569)   on 2010-01-31 15:33:51 (Show Source): You can put this solution on YOUR website!Q=2D OR D=Q/2 N=Q+11 N+D+Q=5.45 .05N+.10D+.25Q=5.45 .05(Q+11)+.10(Q/2)+.25Q=5.45 .05Q+.55+.05Q+.25Q=5.45 .35Q=5.45-.55 .35Q=4.90 Q=4.90/.35 Q=14 QUARTERS. N=14+11=25 NICKELS D=14/2=7 DIMES PROOF: .05*25+.10*7+.25*14=5.45 1.25+.70+3.50=5.45 5.45=5.45
 Radicals/263477: Hi there! I am lost on this! Thank you! Determine whether the triple of numbers can be the sides of a right triangle. 9, 12, 16 A) Yes B) No 1 solutions Answer 194158 by checkley77(12569)   on 2010-01-31 15:25:29 (Show Source): You can put this solution on YOUR website!9, 12, 16 A^2+B^2=C^2 9^2+12^2=16^2 81+144=256 225=256 DOES NOT IDENTIFY A RIGHT TRIANGLE. ANSWER IS B) NO! 9^2+12^2=15^2 81+144=225 225=225 IS A RIGHT TRIANGLE.
 Polynomials-and-rational-expressions/263473: Multiply and simplify by factoring. Assume that all expressions under radicals represent non negative numbers. (^3sqrt r^13)(^3sqrt16y^14)1 solutions Answer 194156 by checkley77(12569)   on 2010-01-31 15:20:33 (Show Source): You can put this solution on YOUR website!Is there supposed to be a value or unknown before the [^3] signs? (^3sqrt r^13)(^3sqrt16y^14)
 Expressions-with-variables/263342: Solve by the elimination method. 2x - 4y = 3 2x - 4y = 4 What is the solution of the system?1 solutions Answer 194063 by checkley77(12569)   on 2010-01-31 10:12:09 (Show Source): You can put this solution on YOUR website!2x - 4y = 3 2x - 4y = 4 subtract. ------------------------ 0x+0y=-1 no unique solution for x or y.
 Linear-systems/262921: 2x-y=6 3x+4y=-21 solutions Answer 193924 by checkley77(12569)   on 2010-01-30 19:14:54 (Show Source): You can put this solution on YOUR website!2x-y=6 solve for y y=2x-6 3x+4y=-2 replace y with (2x-6) & solve for x. 3x+4(2x-6)=-2 3x+8x-24=-2 11x=-2+24 11x=22 x=22/11 x=2 ANS. y=2*2-6 substitute 2 for x & solve for y. y=4-6 y=-2 ans. Proof: 3*2+4*-2=-2 6-8=-2 -2=-2
 Evaluation_Word_Problems/262944: Solve for x: 4 (x+2)+1= 7x - 3(x-2)1 solutions Answer 193920 by checkley77(12569)   on 2010-01-30 19:07:55 (Show Source): You can put this solution on YOUR website! 4(x+2)+1=7x-3(x-2) 4x+8+1=7x-3x+6 4x-7x+3x=6-8-1 0x=-3 no solution for x.
 Rational-functions/263004: f(x)=-x^2-2x+7 find the vertex and axis of symmetry and graph the function1 solutions Answer 193916 by checkley77(12569)   on 2010-01-30 19:04:31 (Show Source): You can put this solution on YOUR website!f(x)=-x^2-2x+7 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x^2 -2x +7). Vertex=(-1,8) Axis=-1
 Human-and-algebraic-language/263055: triple a number minus the sum of the number and nine1 solutions Answer 193908 by checkley77(12569)   on 2010-01-30 18:47:43 (Show Source): You can put this solution on YOUR website!3X-(X+9) ANS.
 Numeric_Fractions/263060: 5 3/16-9/161 solutions Answer 193906 by checkley77(12569)   on 2010-01-30 18:45:54 (Show Source): You can put this solution on YOUR website!5 3/16-9/16 83/16-9/16 74/16=37/8 ans.
 Travel_Word_Problems/263065: Find the x- and y-intercepts (if any) for each line. Show your work. Plot those intercepts, and graph the two lines on the same chart. Submit your graph through the Dropbox. Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this). Show your work. The 2 equations are: x + 5y = 29 -7x + 4y = 70 Below is what I came up with but I just want to know if I did this correctly. x + 5y = 29 y = 0 x + 5(0) = 29 x = 29 x = 0 0 + 5y = 29 5y = 29 y = 29/5 -7x + 4y = 70 y = 0 -7x + 4(0)= 70 -7x = 70 x = -10 x = 0 -7(0) + 4y = 70 4y = 70 y = 70/4 = 35/2 I will use the substitution system to point of intersection. x = 29 - 5y -7(29 - 5y) + 4y = 70 -203 + 35y + 4y = 70 39y = 273 y = 7 x + 5(7) = 29 x + 35 = 29 x = 29/351 solutions Answer 193903 by checkley77(12569)   on 2010-01-30 18:43:23 (Show Source): You can put this solution on YOUR website! The 2 equations are: x + 5y = 29 -7x + 4y = 70 Below is what I came up with but I just want to know if I did this correctly. x + 5y = 29 y = 0 x + 5(0) = 29 x = 29 x = 0 0 + 5y = 29 5y = 29 y = 29/5 -7x + 4y = 70 y = 0 -7x + 4(0)= 70 -7x = 70 x = -10 x = 0 -7(0) + 4y = 70 4y = 70 y = 70/4 = 35/2 I will use the substitution system to point of intersection. x = 29 - 5y -7(29 - 5y) + 4y = 70 -203 + 35y + 4y = 70 39y = 273 y = 7 x + 5(7) = 29 x + 35 = 29 x = 29/35 GOOD WORK UP TO THIS POINT [X=29-35=-6 ans.] Check the graph below. (graph 300x200 pixels, x from -8 to 5, y from -10 to 10, of TWO functions -x/5 +29/5 and 7x/4 +35/2).
 Systems-of-equations/263067: SOLVE -13<=4X-6<=-51 solutions Answer 193882 by checkley77(12569)   on 2010-01-30 17:53:57 (Show Source): You can put this solution on YOUR website!-13<=4X-6<=-5 -13+6<=4X<=-5+6 -7<=4X<=1 -7/4<=X<=1/4 ans.
 Travel_Word_Problems/263127: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water? 1 solutions Answer 193881 by checkley77(12569)   on 2010-01-30 17:51:28 (Show Source): You can put this solution on YOUR website!D=RT OR T=D/R TU=7/(R-C) TRAVEL UPSTREAM TD=15/(R+C) TRAVEL DOWN STREAM. THE TIMES ARE EQUAL. 7/(R-4)=15/(R+4) CROSS MULTIPLY. 15(R-4)=7(R+4) 15R-60=7R+28 15R-7R=28+60 8R=88 R=88/8 R=11 IS THE SPEED OF THE BOAT IN STILL WATER. PROOF: 7/(11-4)=15(11+4) 7/7=15/15 1=1
 Divisibility_and_Prime_Numbers/263129: how do you do factor form like n to the second power + 11n +181 solutions Answer 193874 by checkley77(12569)   on 2010-01-30 17:43:15 (Show Source): You can put this solution on YOUR website!n^2 + 11n +18 The factors of 18 are: 1 & 18 the sum=19 -1 & -18 the sum is=-19 2 & 9 the sum is=11 [the only factors that match the middle term.] -2 & -9 the sum is=-11 3 & 6 the sium is=9 -3 & -6 the sum is=-9 (n+2)(n+9) ans.
 Money_Word_Problems/262868: A bus driver wants to earn \$3,500 per year in supplemental income from an inheritance of \$40,000. If the driver invests \$10,000 in a mutual fund paying 8%, what rate must he earn on the remainder to achieve his goal?1 solutions Answer 193673 by checkley77(12569)   on 2010-01-29 21:25:46 (Show Source): You can put this solution on YOUR website!.08*10,000+X*30,000=3,500 800+30,000X=3,500 30,000X=3,500-800 30,000X=2,700 X=2,700/30,000 X=.09 OR 9% IS THE RATE REQUIRED FOR THE \$30,000 INVESTMENT TO MEET HIS GOALS. PROOF: .08*10,000+.09*30,000=3,500 800+2,700=3,500 3,500=3,500
 Travel_Word_Problems/262869: Two truck drivers leave a warehouse traveling in opposite directions, one driving at 50 mph and one driving at 56 mph. If the slower driver has a 2-hour head start, how long has she been on the road when two drivers are 683 miles apart?1 solutions Answer 193669 by checkley77(12569)   on 2010-01-29 21:16:08 (Show Source): You can put this solution on YOUR website!D=RT 683=50T+65(T-2) 683=50T+65T-130 115T=683+130 115T=813 T=813/115 T=7.7 HOURS THE 50MPH CAR HAS BEEN ON THE ROAD WHEN THEY ARE 583 MILES APART.