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# Recent problems solved by 'checkley77'

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 Mixture_Word_Problems/146391: The Good Seed Flower Shop sells its own brand of fertilizer. It mixes one brand of fertilizer that contains 7% nitrogen with another than contains 8% nitrogen. The resulting mixture contains 7.7% nitrogen. How many pounds of the 7% fertilizer must be used to make 400 pounds of the 7.7% mixture?1 solutions Answer 106901 by checkley77(12569)   on 2008-06-25 16:12:26 (Show Source): You can put this solution on YOUR website!.07x+.08(400-x)=.077*400 .07x+32-.08x=30.8 -.01x=30.8-32 -.01x=-1.2 x=-1.2/-.01 x=120 pds. of 7% nitrogen is used. 400-120=380 pds. of 8% is used. proof: .07*120+.08*280=30.8 8.4+22.4=30.8 30.8=30.8
 Numeric_Fractions/146420: 6+29.27-(-16)1 solutions Answer 106900 by checkley77(12569)   on 2008-06-25 16:06:13 (Show Source): You can put this solution on YOUR website!6+29.27-(-16) 6+29.27+16=51.27 answer.
 Volume/146296: Find the volume, to the nearest tenth, of a pyramid that is 6 feet tall and whose base is an equilateral triangle with sides each 10 feet long????1 solutions Answer 106853 by checkley77(12569)   on 2008-06-24 22:47:13 (Show Source): You can put this solution on YOUR website!V=1/3BH FIRST WE FIND THE BASE AREA. WE CONSTRUCT 2 RIGHT TRIANGLES BY DRAWING A PERPENDICULAR LINE FROM ONE CORNER TO THE CENTERER OF THE OPPOSITE SIDE. ONE SIDE OF THESE TRIANGLES IS 5 FEET & THE HYPOTENUSE IS 10 FEET. USING THE PYTHAGOREAN THEOREM A^2+B^2=C^2 WE GET: 5^2+x^2=10^2 25+X^2=100 X^2=100-25 X^2=75 X=SQRT75 X=8.66 FOR THE HEIGHT. AREA OF 2 TRIANGLES=2*5*8.66=86.6 FT^2. V=1/3*86.6*6 V=519.6/3 V=173.2 FT^3
 Numeric_Fractions/146299: how would i do this? Simplify the following fractions by putting them in lowest terms or by performing the indicated operations. xy-zy over y times xw-xy over yz yw1 solutions Answer 106852 by checkley77(12569)   on 2008-06-24 22:26:48 (Show Source): You can put this solution on YOUR website!xy-zy over y times xw-xy over yz yw I believe you are missing a + or a - sign between the last 2 terms (yz & yw)
 Percentage-and-ratio-word-problems/146313: This question is from textbook Elementary and Intermediate Algebra Brian needs to make a total of deliveries this week. So far he has completed of them. What percentage of his total deliveries has Brian completed? 1 solutions Answer 106851 by checkley77(12569)   on 2008-06-24 22:22:45 (Show Source): You can put this solution on YOUR website!Insufficient data to solve.
 Polynomials-and-rational-expressions/146314: I am not understanding how to work this problem out. Perimeter of a rectangle. The width of a rectangle playground is 2x-5 feet, and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet. 1 solutions Answer 106848 by checkley77(12569)   on 2008-06-24 22:20:59 (Show Source): You can put this solution on YOUR website!perimeter=2L+2W per=2(3x+9)+2(2x-5) per=6x+18+4x-10 per=10x+8 if x=4 then per=10*4+8 per=40=8 per=48 feet.
 Polynomials-and-rational-expressions/146316: I do not understand how to do this problem. Swimming space. The length of a rectangular swimming pool is 2x – 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters. 1 solutions Answer 106847 by checkley77(12569)   on 2008-06-24 22:17:46 (Show Source): You can put this solution on YOUR website!area=(2x-1)(x+2) area=2x^2+3x-2 if x=5 then: area=2*5^2+3*5-2 area=2*25+15-2 area=50+15-2 area=63 m^2 is the area of the pool.
 Polynomials-and-rational-expressions/146318: I am not understanding how to work this problem out. Area of a Parallelogram. Find a trinomial that represents the area of a parallelogram whose base is 2x + 3 meters.1 solutions Answer 106845 by checkley77(12569)   on 2008-06-24 22:14:09 (Show Source): You can put this solution on YOUR website!the area of a parallelogram requires 2 dimensions. base & height. (2x+3)h you are missing the height.
 Unit_Conversion_Word_Problems/146327: Find the number of grams in 180 drams, where 1 grain is 1/60 of a dram. Need to find the formula.1 solutions Answer 106844 by checkley77(12569)   on 2008-06-24 22:11:27 (Show Source): You can put this solution on YOUR website!160(1/60)=160/60=2.667 or 2 2/3 grams.
 Polynomials-and-rational-expressions/146325: Factor (2y-7)squared - 361 solutions Answer 106842 by checkley77(12569)   on 2008-06-24 22:07:58 (Show Source): You can put this solution on YOUR website!(2y-7)^2-36 4y^2-28y+49-36 4y^2-28y+13 (2y-1)(2y-13)
 Polynomials-and-rational-expressions/146319: Can you please help me? Shrinking garden. Rose’s garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. What polynomial represents the new area? By how much will the area of the new garden differ from that of the old garden?1 solutions Answer 106840 by checkley77(12569)   on 2008-06-24 22:02:38 (Show Source): You can put this solution on YOUR website!x*x=x^2 is the original area of the garden (x+5)(x-5)=x^2-25 ix the area of the modified garden. The new garden will be 25ft^2 less than the original garden.
 Polynomials-and-rational-expressions/146320: Can you please help me? Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P (1 + r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parenthesis. Evaluate the polynomial if P = \$200 and r = 10%.1 solutions Answer 106839 by checkley77(12569)   on 2008-06-24 21:59:33 (Show Source): You can put this solution on YOUR website!200(1+.10/2)^2 200(1.05)^2 200*1.1025 \$220.5 is the amount after 1 year @ 10% rate compounded semiannually.
 Inequalities/146324: 6+S+3>5 -12 < P-8 d+3 less than or equal to -51 solutions Answer 106838 by checkley77(12569)   on 2008-06-24 21:56:10 (Show Source): You can put this solution on YOUR website!6+S+3>5 s>5-6-3 s>-4 -------------------------- -12 < P-8 -12+8 -4 ------------------------- d+3 less than or equal to -5 d+3<=-5 d<=-5-3 d<=-8
 Permutations/146031: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following: In how many different ways can 6 classes be scheduled during a 6-period day? 1 solutions Answer 106810 by checkley77(12569)   on 2008-06-24 15:19:02 (Show Source): You can put this solution on YOUR website!6!=720 answer.
 real-numbers/146244: find x and y 2x + 3y = 6 3x - 4y = -31 solutions Answer 106807 by checkley77(12569)   on 2008-06-24 15:12:14 (Show Source): You can put this solution on YOUR website!2x + 3y = 6 multiply by 3 3x - 4y = -3 multiply by -2 6x+9y=18 -6x+8y=6 now add. ---------------------------- 17y=24 y=24/17 answer. 2x+3*24/17=6 2x+72/17=6 2x=6-72/17 2x=(6*17-72)/17 2x=(102-72)/17 2x=30/17 x=(30/17)/2 x=30/17*1/2 x=30/34=15/17 answer. proof: 3*15/17-4*24/17=6 45/17-96/17=-3 -51/17=-3 -3=-3
 Quadratic_Equations/146210: how to solve this one 3(2w)-[w-z-(w+z)]? please show the solution :D thanyou.1 solutions Answer 106763 by checkley77(12569)   on 2008-06-24 06:45:00 (Show Source): You can put this solution on YOUR website!3(2w)-[w-z-(w+z)] 6w-[w-z-w-z] 6w-w+z+w+z 6w+2z 2(3w+z)
 Probability-and-statistics/146098: This question is from textbook how would i do this? The letters of the word Mississippi are placed in a hat. What is the probability that the first two letters drawn are both i if the first letter drawn is not replaced? 1 solutions Answer 106660 by checkley77(12569)   on 2008-06-23 07:49:35 (Show Source): You can put this solution on YOUR website!The first draw has a success of 4 out of 11. The second draw has a success 3 out of 10 Thus we have: 4/11*3/10=12/110=6/55 is the chances of picking an i on the first & second draw.
 Linear-systems/146101: please help me solve this equation: 1 solutions Answer 106659 by checkley77(12569)   on 2008-06-23 07:45:16 (Show Source): You can put this solution on YOUR website!3a+2b=48 (a+b)/2=7 a+b=14 a=14-b 3(14-b)+2b=48 42-3b+2b=48 -b=48-42 -b=6 b=-6 answer. 3a+2*-6=48 3a-12=48 3a=48+12 3a=60 a=60/3 a=20 answer. (20-6)/2=7 14/2=7 7=7
 Age_Word_Problems/146108: Jack is twice as old as Jill. In 10 years, Jill's age will be 3/4 of jack's age. How old are they now. 1 solutions Answer 106658 by checkley77(12569)   on 2008-06-23 07:39:12 (Show Source): You can put this solution on YOUR website!3/4(2x+10)=x+10 6x/4+30/4=x+10 (6x+30)/4=x+10 6x+30=4x+40 6x-4x=40-30 2x=10 x=10/2 x=5 Jill's age now. 2*5=10 Jack's age now. proof 3/4(10+10)=5+10 3/4*20=15 60/4=15 15=15
 Graphs/146076: The % of workers receiving direct deposit of their paychecks went from 32% in 1994 to 60% in 2004. Let 1994 be year 0 and 2004 be year 10. Write equation of the line through (0,32) and (10,60) to model the growth of direct deposit Use equation to predict the year in which 100% of all workers will receive direct deposit 1 solutions Answer 106633 by checkley77(12569)   on 2008-06-22 19:56:32 (Show Source): You can put this solution on YOUR website!(0,32) (10,60) first we find the slope (y2-y1)/(x2-x1) (60-32)/(10-0) 28/10=2.8 is the slope. now replace one set of (x,y) values in the line equation (Y=mX+b) & solve for b. 32=2.8*0+b b=32 for the y intercept. tghus the line equation is: y=2.8x+32 100=2.8x+32 2.8x=100-32 2.8x=68 x=68/2.8 x=24.2857 or 1994+24.2857=2018 Is the year when 100% are projected to be direct depositing.
 Expressions-with-variables/146071: 5a+24b=109.60 16a+24b=171 Have got this far. I understand how to write it in elimination. Please show me how to write it correctly in substitution form1 solutions Answer 106631 by checkley77(12569)   on 2008-06-22 19:40:46 (Show Source): You can put this solution on YOUR website!5a+24b=109.60 5a=109.6-24b a=109.6/5-24b/5 now substitute (109.6/5-24b/5) for a in the other equation & solve for b. 16a+24b=171 16(109.6/5-24b/5)+24b=171 1753.6/5-384b/5+24b=171 -384b/5+24b=171-1753.6/5 (-384b+5*24b)/5=(5*171-1753.6)/5 (-384b+120b)/5=(855-1753.6)/5 264b/5=898.6/5 csncelling out the denominators we have: 264b=898.6 b=989.6/264 answer. 16a+24(898.6/264)=171 16a+21566.4/264=171 16a=171-21566.4/264 16a=(171*264-21566.4)/264 16a=(45144-21566.4)/264 16a=23577.6/264 a=(23577.6/264)(1/16) a=23577.6/4224 a=61.4/11 answer.
 Geometry_Word_Problems/145975: Two similar triangles have perimeters of 15 and 8. If the area of the larger triangle is 100, find the area of the smaller triangle rounded to the nearest tenth.1 solutions Answer 106539 by checkley77(12569)   on 2008-06-21 09:09:41 (Show Source): You can put this solution on YOUR website!15/100=8/X 15X=800 X=800/15 X=53.3 ANSWER.
 Linear-equations/145875: Find the x and y intercepts of each linear equation. Be sure to write your answers as ordered pairs. a. y = 3x - 6 b. 6y = -x + 2 1 solutions Answer 106502 by checkley77(12569)   on 2008-06-20 20:44:11 (Show Source): You can put this solution on YOUR website!a. y = 3x - 6 (2,-6) b. 6y = -x + 2 Y=-X/6+2 (12,2)
 Linear-equations/145877: Which line is the flattest (or is less steep)? Why? a. y = 5x -6 b. y = 5x + 6 c. y = x - 3 d. y = 1/2x + 31 solutions Answer 106501 by checkley77(12569)   on 2008-06-20 20:40:12 (Show Source): You can put this solution on YOUR website!Y=mX+b where m=SLOPE. The slope determines the steepness of the line. The larger the slope value the steeper the line. Therefore the smallest value for the slope is 1/2 thus answer d) has the flattest line.
 Polynomials-and-rational-expressions/145913: Hi I need some help with this math problem: Solve by completing the square. Write the solutions in simplest radical form. The equation is x to the 2nd power - 14x = -47 Thanks for any help you can provide.1 solutions Answer 106500 by checkley77(12569)   on 2008-06-20 20:33:58 (Show Source): You can put this solution on YOUR website!x^2-14x=-47 x^2-14x+49=-47+49 (x-7)(x-7)=2 (x-7)^2=2 x-7=sqrt2 x=7+-1.414 x=8.41 answer. x=5.59 anser.
 Exponents-negative-and-fractional/145870: 13x^8y^7/28x^3y1 solutions Answer 106466 by checkley77(12569)   on 2008-06-20 10:11:48 (Show Source): You can put this solution on YOUR website!13x^8y^7/28x^3y 13x^(8-3)y^(7-1)/28 13x^5y^6/28
 Exponents-negative-and-fractional/145871: (2x^3y^8)^41 solutions Answer 106465 by checkley77(12569)   on 2008-06-20 10:09:44 (Show Source): You can put this solution on YOUR website!(2x^3y^8)^4 2^4x^12y^32 16x^12y^32
 Exponents-negative-and-fractional/145869: 3x^-21 solutions Answer 106461 by checkley77(12569)   on 2008-06-20 08:48:47 (Show Source): You can put this solution on YOUR website!3x^-2 3/x^2
 Exponents-negative-and-fractional/145793: 2(x^-5y^7)^-31 solutions Answer 106448 by checkley77(12569)   on 2008-06-19 22:24:08 (Show Source): You can put this solution on YOUR website!2(x^-5y^7)^-3 2(Y^7/X^5)^-3 2(X^5/Y^7)^3 2(X^15/Y^21)
 Geometry_Word_Problems/145846: The length of a rectangle is twice its width. If the perimeter of the rectangle is 30cm , find its area.1 solutions Answer 106443 by checkley77(12569)   on 2008-06-19 22:10:58 (Show Source): You can put this solution on YOUR website!2L+2W=30 L=2W 2(2W)+2W=30 4W+2W=30 6W=30 W=30/6 W=5 FOR THE WIDTH. L=2*5=10 FOR THE LENGTH PROOF: 2*5+2*10=30 30=30 5*10=50 FOR THE AREA.
 Human-and-algebraic-language/145799: This question is from textbook college algebra blitzer The length of a retangular pool is 6 meters less than twice the width. If the pools perimeter is 126 meters, what are its dimensions?1 solutions Answer 106409 by checkley77(12569)   on 2008-06-19 16:53:13 (Show Source): You can put this solution on YOUR website!L=2W-6 2L+2W=126 2(2W-6)+2W=126 4W-12+2W=126 6W=126+12 6W=138 W=138/6 W=23 M. FOR THE WIDTH L=2*23-6 L=46-6 L=40 M. FOR THE LENGTH. PROOF 2*40=2*23=126 80+46=126 126=126