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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Graphs/289187: What is the slope of a line that is perpendicular to the graph of: y=(-1/2)x+4? (Please explain).1 solutions Answer 209545 by checkley77(12569)   on 2010-04-06 15:41:03 (Show Source): You can put this solution on YOUR website!y=(-1/2)x+4 (red line) This line has a slope=-1/2. Any perpendicular line will have a slope=the negative reciprocal of -1/2 OR 2. y=2x+4 (green line) (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -x/2 +4 and 2x +4).
 Triangles/289188: How do you find a triangle whose ratio is 2:5:8 - this is sophmore advanced geometry and I am just a homebound teacher. please help!!!1 solutions Answer 209543 by checkley77(12569)   on 2010-04-06 15:35:24 (Show Source): You can put this solution on YOUR website!2:5:8 IF these are the ratios of the three sides. 2n+5n+8n=15n where n is the multiplier of the sides.. However; these ratios are not valid for a triangle. The sum of the 2 smallest sides (2+5)=7 is less than the third side=8. Thus these ratios cannot be used to make a triangle. ----------------------------------------------------------- IF these ratios are for the angles then: 2n+5n+8n=15n 15n=180 n=180/15 n=12 is the multiplier of the ratio values. 2*12=24 degrees. 5*12=60 degrees. 8*12=96 degrees. Proof: 24+60+96=180 180=180
 Linear-equations/289052: y=-1 divided by 5-41 solutions Answer 209409 by checkley77(12569)   on 2010-04-06 09:06:53 (Show Source): You can put this solution on YOUR website!y=-1 divided by 5-4 Do you mean: y=(-1/5)-4 y=-1/5-20/5 y=-21/5 ans. OR: y=-1/(5-4) y=-1/1 y=-1 ans.
 Linear-equations/289053: Please help me solve this equation: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. (-4, 1) and (3, 1) 1 solutions Answer 209408 by checkley77(12569)   on 2010-04-06 09:03:44 (Show Source): You can put this solution on YOUR website!(-4, 1) and (3, 1) Slope=(y2-y1)/(x2-x1) Slope=(1-1)/(3+4)=0/7 this indicates an horizontal line through y=1 Thus the line equation is: Y=1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 1).
 Miscellaneous_Word_Problems/289059: It takes 7.5 hrs for 16 people to place flyers on each of the kiosks on campus. How long would it take 13 people? Any help would be greatly appreciated.1 solutions Answer 209407 by checkley77(12569)   on 2010-04-06 08:59:52 (Show Source): You can put this solution on YOUR website!7.5*16=120 manhours are required. 13x=120 x=120/13 x=9.23 hours.
 Distributive-associative-commutative-properties/288781: how do i solve 20 x 1.7 using distributive property? 1 solutions Answer 209288 by checkley77(12569)   on 2010-04-05 17:58:47 (Show Source): You can put this solution on YOUR website!20 x 1.7 20(1+.7)=20+14=34 ans.
 Numbers_Word_Problems/288782: It is between 60 and 68. The sum of the digits is 9. What is it?1 solutions Answer 209287 by checkley77(12569)   on 2010-04-05 17:56:52 (Show Source): You can put this solution on YOUR website!63 is the answer.
 Finance/288784: Determine the amount of an investment if \$15,000 is invested at an iterest of 4.85% compound quarterly for 5 years1 solutions Answer 209286 by checkley77(12569)   on 2010-04-05 17:54:59 (Show Source): You can put this solution on YOUR website!15,000(1+.0485/4)^5*4 15,000(1+.012125)^20 15,000*1.012125^20 15,000*1.2726=19,088.61 ans.
 Probability-and-statistics/288786: How many ways can karen choose 4 pizza toppings from a menu of 18 toppings if each topping can be chosen once?1 solutions Answer 209283 by checkley77(12569)   on 2010-04-05 17:50:37 (Show Source): You can put this solution on YOUR website!18*17*16*15=73,440 combinations are possible.
 Finance/288790: what is the last term in the expansion of (x+2y)^5?1 solutions Answer 209282 by checkley77(12569)   on 2010-04-05 17:48:50 (Show Source): You can put this solution on YOUR website!(x+2y)^5 (2y)^5=32y^5 ans.
 Money_Word_Problems/288702: Susan works in a large department store and earns \$6.00 per hour. The store will pay her an extra 5% in salary for each hour that she sells more than \$100 worth of merchandise. She makes this sales quote for each hour of her 4-hour shift. How much will she earn for the shift?1 solutions Answer 209280 by checkley77(12569)   on 2010-04-05 17:43:55 (Show Source): You can put this solution on YOUR website!4(6*1.05)=4*6.30=\$25.20 is her salary plus commission for her 4 hour shift.
 Permutations/288705: suppose they are 10 questions on a true false test. what is the probability the person will get all answers correct. without reading them. thank you for the help1 solutions Answer 209277 by checkley77(12569)   on 2010-04-05 17:27:17 (Show Source): You can put this solution on YOUR website!1/2^10=.000978 or .0978% chance to get all 10 questions correct.
 Expressions-with-variables/288707: simplify 3a^2-2a^-3/12a1 solutions Answer 209276 by checkley77(12569)   on 2010-04-05 17:24:47 (Show Source): You can put this solution on YOUR website!3a^2-(2a^-3)/12a 3a^2-(a^-4)/6 3a^2-1/6a^4 ans.
 Polynomials-and-rational-expressions/288709: My issue if finding a LCM to this equation. My teacher didn't explain it very well, however, I think AFTER obtaining the LCM I understand how to solve the equation. This particular problem is: 7/(x-3) - (2/7) = -10/(3x-9)1 solutions Answer 209275 by checkley77(12569)   on 2010-04-05 17:19:17 (Show Source): You can put this solution on YOUR website!7/(x-3) - (2/7) = -10/(3x-9) [7*7-2(x-3)]/7(x-3)=-10/(3x-9) [49-2x+6]/(7x-21)=-10/(3x-9) [-2x+55]/(7x-21)=-10/(3x-9) cross multiply. -10(7x-21)=(3x-9)(-2x+55) -70x+210=-6x^2+18x+165x-495 -70x+210=-6x^2+183x-495 6x^2-70x-183x+210+495=0 6x^2-253x+705=0 (6X-235)(X-3)=0 6X-235=0 6X=235 X=235/6 ANS. X-3=0 X=3 ANS. PROOF: 7/(x-3) - (2/7) = -10/(3x-9) 7/[(235/6)-3]-2/7=-10/[(3*235/6)-9] 7/[(235-3*6)/6]-2/7=-10/[(705/6)-9] 7/[217/6]-2/7=-10/[705-9*6]/6 7*6/217-2/7=-10/[705-54]/6 42/217-2/7=-10/[651]/6 .1935-.2857=-10*6/651 -.0922=-60/651 -.0922=-.0922
 Numeric_Fractions/288715: at baxter high school, two-fifth of the students are taking language classes. one-fourth of those students are studying french. what percent of the students at baxter high are studying french?1 solutions Answer 209267 by checkley77(12569)   on 2010-04-05 16:29:02 (Show Source): You can put this solution on YOUR website!2/5*1/4=2/20=1/10 or 10% are taking French.
 Proportions/288718: 145% of what # 0f inches is 11.6 inches1 solutions Answer 209266 by checkley77(12569)   on 2010-04-05 16:26:22 (Show Source): You can put this solution on YOUR website!1.45x=11.6 x=11.6/1.45 x=8 inches.
 Systems-of-equations/288739: Hello, Any help you can give will be appreciated! x-y=2 x2-y2=40 1 solutions Answer 209264 by checkley77(12569)   on 2010-04-05 16:23:15 (Show Source): You can put this solution on YOUR website!x-y=2 or x=y+2 x2-y2=40 (y+2)^2-y^2=40 y^2+4y+4-y^2=40 4y=40-4 4y=36 y=36/4 y=9 ans. x=9+2 x=11 ans. Proof: 11^1-9^2=40 121-81=40 40=40
 Rectangles/288741: length of a rectangle is 8 in less than twice the width. the area is 90 in squared find the width1 solutions Answer 209263 by checkley77(12569)   on 2010-04-05 16:19:12 (Show Source): You can put this solution on YOUR website!L=2W-8 AREA=LW 90=(2W-8)W 90=2W^2-8W 2W^2-8W-90=0 2(W^2-4W-45)=0 2(W-9)(W+5)=0 W-9=0 W=9 ANS. FOR THE WIDTH. L=2*9-8 L=18-8 L=10 ANS. FOR THE LENGTH. PROOF: 90=10*9 90=90
 Quadratic_Equations/288751: A jacket was marked down in price by 15%, and then later was marked down by an additional \$35. Its sale price was \$173.25. What was its original price?1 solutions Answer 209261 by checkley77(12569)   on 2010-04-05 16:12:08 (Show Source): You can put this solution on YOUR website!(X-.15X)-35=173.25 .85X=173.25+35 .85X=208.25 X=208.25/.85 X=\$245 WAS THE ORIGINAL PRICE.
 Quadratic_Equations/288753: A total of 1135 people attended a concert. Floor tickets cost \$40 each, while balcony tickets cost \$28 each. If a total of \$40,480 was collected, how many of each type of ticket were sold?1 solutions Answer 209258 by checkley77(12569)   on 2010-04-05 16:05:07 (Show Source): You can put this solution on YOUR website!F+B=1,135 OR F=1,135-B 40F+28B=40,480 40(1,135-B)+28B=40,480 45,400-40B+28B=40,480 -12B=40,480-45,400 -12B=-4,920 B=-4,920/-12 B=410 NUMBER OF BALCONY TICKETS WERE SOLD. 1,135-410=725 NUMBER OF FLOOR TICKETS WERE SOLD. 40*725+28*410=40,480 29,000+11,480=40,480 40,480=40,480
 Quadratic_Equations/288724: A picture that measures 10cm by 8cm is to be surrounded by a mat before framing. The width of the mat is to be the same on all sides of the picture. The area of the mat is equal to the area of the picture. What is the width of the mat, to the nearest tenth of a centimetre?1 solutions Answer 209255 by checkley77(12569)   on 2010-04-05 15:42:17 (Show Source): You can put this solution on YOUR website!10*8=80 cm^2 is the area of the picture. (10+2x)(8+2x)-80=80 80+16x+20x+4x^2-160=0 4x^2+36x-80=0 4(x^2+9x-20)=0 x=(-9+-sqrt[9^2-4*1*-20])/2*1 x=(-9+-sqrt[81+80])/2 x=(-9+-sqrt161)/2 x=(-9+-12.69)/2 x=(-9+-12.69)/2 x=(-9+12.69)/2 x=3.69/2 x=1.8 cm. is the width of the mat. Proof: (10+2*1.8)(8+2*1.8)-80=80 (10+3.6)(8+3.6)=160 13.8*11.6=160 160~160
 Numeric_Fractions/288729: I need to find the unknown of 2/3/10=1.8/r I think it is r=27 or no solution, please help.1 solutions Answer 209248 by checkley77(12569)   on 2010-04-05 15:23:58 (Show Source): You can put this solution on YOUR website!2/3/10=1.8/r (2/3)*1/10=1.8/r 2/30=1.8/r 2r=1.8*30 2r=54 r=54/2 r=27 answer. Proof: (2/3)*1/10=1.8/27 2/30=1.8/27 54=54
 Equations/288736: How much of a 10% saline solution should be mixed with a 20% saline solution to obtain 1000 milliters of a 12% saline solution? Use a system of equations and substitution to solve each problem. Thanks1 solutions Answer 209244 by checkley77(12569)   on 2010-04-05 15:19:02 (Show Source): You can put this solution on YOUR website!A single equation is a much simplier method. .20x+.10(1,000-x)=.12*1,000 .20x+100-.10x=120 .10x=120-100 .10x=20 x=20/.10 x=\$200 invested @ 20%. 1,000-200=\$800 invested @ 10%. Proof: .20*200+.10*800=.12*1,000 40+80=120 120=120
 Inequalities/288551: 4x-9>=-1/7+81 solutions Answer 209199 by checkley77(12569)   on 2010-04-05 10:54:31 (Show Source): You can put this solution on YOUR website!4x-9>=-1/7+8 4x>=-1/7+8+9 4x>=-1/7+17 4x>=-(1+17*7)/7 4x>=-(1+119)/17 4x>=-120/17 x>=-(120/17)/4 x>=-120/17*1/4 x>=-120/17*4 x>=-120/68 x>=-30/17 ans.
 Graphs/288633: graph x+y=41 solutions Answer 209198 by checkley77(12569)   on 2010-04-05 10:46:53 (Show Source): You can put this solution on YOUR website! x+y=4 y=-x+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x +4).
 Radicals/288439: How do I solve this equation (1 - sqrt x)^2?1 solutions Answer 209079 by checkley77(12569)   on 2010-04-04 18:46:27 (Show Source): You can put this solution on YOUR website!(1-sqrtx) (1-sqrtx) multiply ------------ 1-sqrtx-sqrtx+x 1-2sqrtx+x ans.
 Evaluation_Word_Problems/288441: a dog and a puppy together weigh 28 pounds, with their weights being 5:2. what is the weight of the puppy in pounds.1 solutions Answer 209078 by checkley77(12569)   on 2010-04-04 18:44:05 (Show Source): You can put this solution on YOUR website!5n+2n=28 7n=28 n=28/7 n=4 is the multiplier for the ratios. 5*4=20 pounds for the dog. 2*4=8 pounds for the puppy. Proof: 5/2=20/8 40=40 20+8=28 28=28
 Linear-systems/288434: juan made 2L of lemonade that consists of 40% pure lemon juice. how much water must he add to dilute it to 30% lemon juice1 solutions Answer 209077 by checkley77(12569)   on 2010-04-04 18:41:10 (Show Source): You can put this solution on YOUR website!2*.40=(2+x).30 .80=.60+.30x .30x=.80-.60 .30x=.20 x=.20/.30 x=2/3 of a liter of water is needed. Proof: 2*.40=(2+2/3).30 .8=8/3*.30 .8=2.4/3 .8=.8
 Rectangles/288260: A rectangle has a diagonal that measures 10 centimeters and a length that is 2 centimeters longer than the width.What is the width of the rectangle in centimeters?1 solutions Answer 209076 by checkley77(12569)   on 2010-04-04 18:35:31 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 a^2+(a+2)^2=10^2 a^2+a^2+4a+4=100 2a^2+4a+4-100=0 2a^2+4a-96=0 2(a^2+2a-48)=0 2(a+8)(a-6)=0 a-6=0 a=6 cm. ans. for the short side. 6+2=8 cm. ans. for the long side. Proof: 6^2+8^2=100 36+64=100 100=100
 Rectangles/288262: A rectangle has a diagonal that measures 10 centimeters and a length that is 2 centimeters longer than the width.What is the width of the rectangle in centimeters?1 solutions Answer 209074 by checkley77(12569)   on 2010-04-04 18:25:23 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 a^2+(a+2)^2=10^2 a^2+a^2+4a+4=100 2a^2+4a+4-100=0 2a^2+4a-96=0 2(a^2+2a-48)=0 2(a+8)(a-6)=0 a-6=0 a=6 cm. ans. for the short side. 6+2=8 cm. ans. for the long side. Proof: 6^2+8^2=100 36+64=100 100=100
 Bodies-in-space/288267: If there are 7.5 gallons to the cubic foot, and a cylindrical storage tank has a radius of 21 ft and an altitude of 28 ft, then using 3.14159 for π ,how many gallons, correct to the nearest whole gallon, will the full storage tank hold?1 solutions Answer 209072 by checkley77(12569)   on 2010-04-04 18:19:23 (Show Source): You can put this solution on YOUR website!V=BH V=3.14159*21^2*28 V=38,792.35332 FT^3 38,792.35332/7.5=5,172 GALLONS.