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Proportions/146518: The total cost(in dollars) for a company to manufacture and sell x items per week is:C=0.6xsq-140x+6200 and the revenue (in dollars)by selling all x items is: R=-0.4xsq+130 How many items must be sold to obtain a weekly profit of $10000? Thank you Nicole 1 solutions Answer 106932 by checkley77(12569)   on 2008-06-26 15:56:01 (Show Source): You can put this solution on YOUR website! C=0.6xsq-140x+6200 R=-0.4xsq+130 profit=revenue-cost. 10,000=-.4x^2+130-(0.6x^2-140x+6,200) 10,000=-.4x^2+130-.6x^2+140x-6,200 x^2-140x+10,000-6,200-130=0 x^2-140x+3,670=0 using the quadratic equation we get: x=(140+-sqrt[-140^2-4*1*3,670/2*1 x=(140+-sqrt[19,600-14,680)/2 x=(140+-sqrt[4,920]/2 x=(140+-70.14)/2 x=(140+70.14)/2 x=210.14/2 x=105.07 answer. x=(140-70.14)/2 x=69.86/2 x=34.9 answer.

Linear-equations/146519: A line passing through (15,19) and (10, Y) is parallel to a line with slope 2. What is the value of Y. I tried working this problem by using the following equation... M= Y2-Y1/X2-X1 M= Y-19/10-15 Now if they want the slope to be a positive number, then why is the bottom half of the equation (10-15) going to be a negative number (-5). To me, there is no way to get a slope of 2 from this equation. Can you please help. 1 solutions Answer 106931 by checkley77(12569)   on 2008-06-26 15:28:48 (Show Source): You can put this solution on YOUR website! M=Y2-Y1/X2-X1 M=Y-19/10-15 2=(y-19)/-5 y-19=-10 y=-10+19 y=9 proof: (9-19)/(10-15) -10/-5=2 voila we have a positive slope=2.

Exponents/146520: Help me solve this problem 1 solutions Answer 106930 by checkley77(12569)   on 2008-06-26 15:23:55 (Show Source): You can put this solution on YOUR website! (7t^-6)(-3t^-3c^-3) 1/7t^6*1/-3t^3c^3 1/-3t^18c^3

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 yw 1 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 - 36 1 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 -5 1 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 = -3 1 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 form 1 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 + 3 1 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^3y 1 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)^4 1 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^-2 1 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