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 percentage/750571: By a reduction of 30% a number becomes 210. To make the number equal to 450, the original number is to be increased by1 solutions Answer 456704 by dkppathak(23)   on 2013-05-19 21:58:22 (Show Source): You can put this solution on YOUR website!30% reduce make 210 let original number is x 30 % reduce means 100-30 =70 70% of x= 210 70/100 of x= 210 x=210x100/70 = 300 new number 450 and original is 300 increased value =450-300=150 x/100 of 300 =150 x=50 % answer 50%
 Exponents/750542: Please help... A family refers to a group of two or more people related by birth. Marriage or adoption who resides together. In 2000, in Country A, the average family net worth was \$360,000, and there were about 9.4x10^7 families. Calculate the total family net worth in Country A in 2000.1 solutions Answer 456703 by josmiceli(9661)   on 2013-05-19 21:56:47 (Show Source): You can put this solution on YOUR website! dollars
 Word_Problems_With_Coins/750567: Adam added 6 to a number and multiplied the results by NEGATIVE 3 and got 24. What is the number?1 solutions Answer 456702 by ankor@dixie-net.com(15638)   on 2013-05-19 21:53:47 (Show Source): You can put this solution on YOUR website!Adam added 6 to a number and multiplied the results by NEGATIVE 3 and got 24. What is the number? : -3(n+6) = 24 -3n - 18 = 24 -3n = 24 + 18 -3n = 42 n has to be positive, mult both sides by -1 3n = -42 n = -42/3 n = -14 : : See if that works -3(-14+6) = -3(-8) = +24
 Quadratic_Equations/750569: 2a^2-46a+254=0 thanks 1 solutions Answer 456701 by jim_thompson5910(28504)   on 2013-05-19 21:52:46 (Show Source): You can put this solution on YOUR website!Use the quadratic formula to solve for 'a' or or or
 Sequences-and-series/750549: Starting with n=1, find the first 5 terms of: . Please explain the steps the best that you can. Thanks. :) 1 solutions Answer 456700 by MathLover1(6622)   on 2013-05-19 21:52:07 (Show Source): You can put this solution on YOUR website! find the first terms of: ......if .....first term ......if .....second term ......if .....third term ......if .....fourth term ......if .....fifth term {..,,,,..}
 Travel_Word_Problems/750288: A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 16 minutes, and his brother claims to be able to do it in 14 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus? It will take about ____ minutes to clear the driveway together. Will this give the student enough time to get to the campus? I tried to solve this and came up with the wrong answer and am hoping I can find out where I am wrong. It will take about __x__ minutes to clear the driveway together. So, 1/x =1/14+1/16 x = 7.47 So It will take about __7.47__ minutes to clear the driveway together. I also tried 8 and it was also wrong, thank you! This will give the student enough time to get to the campus1 solutions Answer 456699 by ankor@dixie-net.com(15638)   on 2013-05-19 21:48:50 (Show Source): You can put this solution on YOUR website!A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 16 minutes, and his brother claims to be able to do it in 14 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus? : Use a shared work equation, let t = time working together Let the completed job = 1 (a cleared driveway) : + = 1 multiply equation by the least common multiple of 16 and 14, that 112, results: 7t + 8t = 112 15t = 112 t = 112/15 t = 7.47 minutes, so you are right!
 Polynomials-and-rational-expressions/750540: simply and list any restrictions 2x^3-6x^2+8x/6x^2-12x1 solutions Answer 456698 by lwsshak3(6471)   on 2013-05-19 21:47:52 (Show Source): You can put this solution on YOUR website!2x^3-6x^2+8x/6x^2-12x 2x(x^2-3x+4)/6x(x-2) x^2-3x+4/3(x-2) restrictions: x≠0, x≠2 (these values would make denominator=0, so function would be undefined)
 Travel_Word_Problems/750516: what are the zeros of the quadratic equations 22=6x^2+13 y=2x^2-11x y=x^2+x-12 Please show work, thank you.1 solutions Answer 456697 by lwsshak3(6471)   on 2013-05-19 21:36:43 (Show Source): You can put this solution on YOUR website!what are the zeros of the quadratic equations 22=6x^2+13 6x^2=9 x^2=9/6=3/2 x=±√(3/2) .. y=2x^2-11x 2x^2-11x=0 x(2x-11)=0 x=0 or x=11/2 .. y=x^2+x-12 x^2+x-12=0 (x+4)(x-3)=0 x=-4 or x=3
Exponential-and-logarithmic-functions/750564: Write an exponential function whose graph passes through the points (0, -6) and (-2, -54)
1 solutions

Answer 456696 by MathLover1(6622)   on 2013-05-19 21:35:34 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: Find the equation of line going through points hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, -6) and (x2, y2) = (-2, -54). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(24)x + (-6) Your graph:

since you can't see second point on graph above, here is another graph:

 Equations/750565: Completing the square x^2-2x-8=0 Im stuck on this thanks!3 solutions Answer 456695 by lwsshak3(6471)   on 2013-05-19 21:25:59 (Show Source): You can put this solution on YOUR website!Completing the square x^2-2x-8=0 x^2-2x-8=0 (x^2-2x+1)-1-8=0 (x-1)^2=9 x-1=±√9 x=1±3 Answer 456694 by MathLover1(6622)   on 2013-05-19 21:25:22 (Show Source): You can put this solution on YOUR website! ....write as ....group Answer 456693 by JoeTaxpayer(93)   on 2013-05-19 21:25:18 (Show Source): You can put this solution on YOUR website!x^2-2x-8=0 x^2-2x+1-1-8=0 x^2-2x+1=9 (x-1)^2=9 x-1 = -3 x-1 = 3 x=-2 x=4
 Miscellaneous_Word_Problems/750562: Three bells ring at the interval of 10,15 and 20 minutes respectively . If they all ring at 11 a.m at once,what time they ring together again ? Please show process also and answer also. 3 solutions Answer 456692 by ankor@dixie-net.com(15638)   on 2013-05-19 21:22:20 (Show Source): You can put this solution on YOUR website!Three bells ring at the interval of 10,15 and 20 minutes respectively . If they all ring at 11 a.m at once,what time they ring together again ? : Find the least common multiple of 10, 15, 20, Prime factor 10: 2*5 15: 3*5 20: 2*2*5 then 2*2*3*5 = 60 is LCM : 60 min from 11 is 12 Answer 456691 by reviewermath(507)   on 2013-05-19 21:22:09 (Show Source): You can put this solution on YOUR website!The LCM of 10, 15, and 20 is 60. After 60 minutes, they will ring together again. Answer: 12 noon Answer 456688 by JoeTaxpayer(93)   on 2013-05-19 21:19:59 (Show Source): You can put this solution on YOUR website!We need the lowest common multiple of 10,15,and 20 10 = 2*5 15 = 3*5 20 = 2*2*5 These are the prime factorization for these numbers. 2*2*3*5 = 60 This is the lowest common multiple. Noon is the answer.
 Mixture_Word_Problems/750560: Hi, I have an online algebra course and sometimes I find it difficult to solve equations. I was wondering if someone could please help me with this problem? Thank you so much(: The question is: Which of the following parabolas match the following graph below? And then since I couldn't drag and drop the image, I think but am not sure that two points that could be used were 1 and -1.However, to be sure, you can, I believe, go to this link and it should pull up the image. http://pub.provostacademy.com/suite/repository/workspace/System%20Files/a1p3u3l2aa1.gif1 solutions Answer 456690 by MathLover1(6622)   on 2013-05-19 21:20:40 (Show Source): You can put this solution on YOUR website! you have a parabola with a vertex at origin. From the graph I can see that if => and if => , then you have
 expressions/750332: what is the answer of (6^1/4)^2/3 could you explain to me please ? and (8/125)^-4/3, thank you 1 solutions Answer 456687 by ankor@dixie-net.com(15638)   on 2013-05-19 21:16:34 (Show Source): You can put this solution on YOUR website!what is the answer of (6^1/4)^2/3 = 6^(2/12) (multiply the exponents here 6^(1/6) (reduce the fraction) : (8/125)^-4/3, inverting the fraction gets rid of the negative (125/8)^(4/3) find the cube root (5/2)^4 Find the 4th power 625/16
 Numbers_Word_Problems/750543: what is a expression for the verbal expression four times the product of x and y increased by the sum of y^2, xy, and 51 solutions Answer 456686 by JoeTaxpayer(93)   on 2013-05-19 21:00:20 (Show Source):
 logarithm/750553: using base 2 logarithms solve the following equation x-3 5 =32 1 solutions Answer 456685 by stanbon(57246)   on 2013-05-19 20:54:12 (Show Source): You can put this solution on YOUR website!using base 2 logarithms solve the following equation x-3 5 =32 (x-3)log2(5) = log2(32) --------------------------- (x-3)log2(5) = 5 x-3 = 5/log2(5) ---- x = [5/log2(5)] + 3 ---------------------- Cheers, Stan H.
 Travel_Word_Problems/750544: A boat takes 8 hours to go 6 miles upstream and come back to the starting point. If the speed of the boat is 4 miles per hour in still water, what is the rate of the current?1 solutions Answer 456684 by stanbon(57246)   on 2013-05-19 20:50:33 (Show Source): You can put this solution on YOUR website!A boat takes 8 hours to go 6 miles upstream and come back to the starting point. If the speed of the boat is 4 miles per hour in still water, what is the rate of the current? ------- Upstream DATA: time = x hrs ; distance = 6 miles ; rate = d/t = 6/x hrs ---- Downstream DATA: time = 8-x hrs ; distance = 6 miles ; rate = d/t = 6/(8-x) -------- Equation: Upstream Rate Eq::: 4-c = 6/x Downstream Rt Eq::: 4+c = 6/(8-x) ---------------- Add to solve for "x": 8 = (6/x)+(6/(8-x)) ----- 8x(8-x) = 6(8-x) + 6x ----- 64x - 8x^2 = 48 --- x^2 - 8x + 48 = 0 ----- No Real Number solution. ================ Cheers, Stan H. ================
 Money_Word_Problems/750385: Find the monthly payment for the loan. (Round your answer to the nearest cent.) A \$130,000 home bought with a 20% down payment and the balance financed for 30 years at 11.5%1 solutions Answer 456683 by reviewermath(507)   on 2013-05-19 20:35:30 (Show Source): You can put this solution on YOUR website!The monthly payment for the loan is equal to = \$
 test/750545: Factor show step thank u 9a squared-60ab+100bsquared1 solutions Answer 456682 by stanbon(57246)   on 2013-05-19 20:33:50 (Show Source): You can put this solution on YOUR website!9a squared-60ab+100bsquared ----- 9a^2 - 60ab + 100b^2 ----- = (3a-10b)^2 ------------------ Cheers, Stan H.
 Expressions-with-variables/750517: Given the following sequence, find a100 -15,-8,-1,6,132 solutions Answer 456681 by reviewermath(507)   on 2013-05-19 20:26:07 (Show Source): You can put this solution on YOUR website!In arithmetic sequence, where = nth term, d = common difference The first term of the sequence -15,-8,-1,6,13,... is -15 and the common difference is 7. = = The 100th term is = Answer 456680 by tommyt3rd(457)   on 2013-05-19 20:20:58 (Show Source): You can put this solution on YOUR website!-15,-8,-1,6,13 tells us that d=7, :)
 Geometry_Word_Problems/750541: johanna built a rectangular fence inside her garden that enclosed 102 square feet of land.If the length and width were both whole numbers which shows the least number of feet of fence johanna could have used 2 solutions Answer 456679 by josmiceli(9661)   on 2013-05-19 20:20:56 (Show Source): You can put this solution on YOUR website! You can try possibilities: The perimeter = ft ----------------------- ft ---------------------- ft --------------------- It looks like 46 ft is the least she can buy Answer 456676 by JoeTaxpayer(93)   on 2013-05-19 20:09:05 (Show Source): You can put this solution on YOUR website!The greatest area a fence can surround in a rectangle is in h shape of a square. Let me offer a reason why. If one side is a tiny bit longer, the adjacent side is shorter by the same amount. (X-Y)(X+Y)=X^2-Y^2 so the maximum area is when Y= 0. In your case, we can't have sqr(102) as a side, so with two sides adding to 51, I'll say 25x26 are the dimensions.
 Numeric_Fractions/750529: 8s - 10 = 6 show work answer1 solutions Answer 456678 by rfer(12647)   on 2013-05-19 20:20:33 (Show Source): You can put this solution on YOUR website!8s=16 s=16/8 s=2
 Miscellaneous_Word_Problems/750539: please put this word problem into formula to solve for scientific notation. During feeding season, gray whales eat 3.4 x 10^5 lbs of food per day. If the feeding period lasts for 140 days. How many lbs of food total will a gray whale consume?1 solutions Answer 456677 by Edwin McCravy(8882)   on 2013-05-19 20:14:55 (Show Source): You can put this solution on YOUR website!```140 times (3.4 x 105) Change 140 to scientific notation: 1.40×102 (1.40×102·(3.4×105) Multiply the 1.40 by the 3.4, get 4.76. Add the exponents of 10, get 2+5 or 7. 4.76×107 pounds Edwin```
 test/750536: Factor show steps 75xysquare2-48x2xsquare1 solutions Answer 456675 by stanbon(57246)   on 2013-05-19 20:04:10 (Show Source): You can put this solution on YOUR website!Factor show steps 75xysquare2-48x2xsquare ----- 75xy*sqrt(2) - 48x^2*sqrt(2) ----- Common factor:::: 3x*sqrt(2) ----- Factored Form: 3x*sqrt(2)[25y - 16] ----- Cheers, Stan H. ========
 Mixture_Word_Problems/750537: 40 cups of juice contains 5% juice. how many cups of pure juice is needed to make 10% juice1 solutions Answer 456674 by josmiceli(9661)   on 2013-05-19 20:03:57 (Show Source): You can put this solution on YOUR website!You can assume that this is a juice and water mixture. Let = the cups of pure juice to be added cups of pure juice in 5% mixture ---------------- 2.222 cups of pure juice are needed check: OK
 Travel_Word_Problems/750379: Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was 3 hours, how far away did her friend live?1 solutions Answer 456673 by ankor@dixie-net.com(15638)   on 2013-05-19 19:58:24 (Show Source): You can put this solution on YOUR website!Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was 3 hours, how far away did her friend live? : let d = one way distance to friend's house : Write a time equation: time = dist/speed : bike time + ride time = 3 hrs + = 3 multiply by 80 to clear the denominators 5d + d = 80(3) 6d = 240 d = 240/6 d = 40 mi to fr house : : Confirm this by finding the total of the time each way 40/16 = 2.5 hrs 40/80 = .5 hrs ---------------- total: 3 hrs
 test/750535: Factor..show steps tjank u 12xy+8x-15y-101 solutions Answer 456672 by tommyt3rd(457)   on 2013-05-19 19:54:19 (Show Source): You can put this solution on YOUR website!12xy+8x-15y-10= (12xy+8x)-(15y+10)= 4x(3y+2)-5(3y+2)= (4x-5)(3y+2) :)
 Graphs/750534: Identify the slope and the y-intercept of the equation: y = - 5x + 4 1 solutions Answer 456671 by stanbon(57246)   on 2013-05-19 19:49:57 (Show Source): You can put this solution on YOUR website! Identify the slope and the y-intercept of the equation: y = - 5x + 4 ---- slope = -5 y-int is 4 ================= Cheers, Stan H. =================
 Graphs/750522: Find the x-intercept and y-intercept of the graph of the equation: -2x + y = 4 please help with this I am having trouble. Thank you2 solutions Answer 456670 by tommyt3rd(457)   on 2013-05-19 19:49:52 (Show Source): You can put this solution on YOUR website!Find x-intercept(s) by setting y=0: y=0 -2x +(0)= 4 -2x=4 x=-2 x-intercept (-2, 0) Find y-intercept by setting x=0: x=0 -2(0)+y=4 y=4 y-intercept (0, 4) :) Answer 456669 by josmiceli(9661)   on 2013-05-19 19:47:08 (Show Source): You can put this solution on YOUR website!The x-intercept ocurrs where The y-intercept ocurrs where So, you are looking for 2 points: x-intercept: (x,0) y-intercept: (0,y) ---------------- (x,0) ------------ (0,y) ---------- Here' the plot. It shows the intercepts at (-2,0) and {0,4)
 Percentage-and-ratio-word-problems/750530: Will you explain it too? Madeline bought 11 feet of ribbon for \$1.32 per yard. How much did she pay for the ribbon? I know 3 ft = 1 yard so 3 2/3 yards. How do I change that to decimal to make money to multiple 1.32 1.32 x 3 ----- 3.96 What do I do with the 2/3?1 solutions Answer 456668 by stanbon(57246)   on 2013-05-19 19:46:25 (Show Source): You can put this solution on YOUR website!Madeline bought 11 feet of ribbon for \$1.32 per yard. How much did she pay for the ribbon? ------- 11 feet = 11/3 yards ---- Value = (11/3)(1.32) = \$4.84 ============================== Cheers, Stan H. ===========
 Graphs/750531: Solve for y: 6x + 3y = 24 Thank you in advance for your help with this.1 solutions Answer 456667 by stanbon(57246)   on 2013-05-19 19:41:05 (Show Source): You can put this solution on YOUR website!Solve for y: 6x + 3y = 24 ---- Divide both sides by 3 to get: 2x + y = 8 ---- Subtract 2x from both sides: y = -2x+8 ============ Cheers, Stan H. ============
 percentage/750532: A store buys jeans for \$24 each and marks them up 30%. What os the selling price of a pair of jeans?1 solutions Answer 456666 by stanbon(57246)   on 2013-05-19 19:38:20 (Show Source): You can put this solution on YOUR website!A store buys jeans for \$24 each and marks them up 30%. What os the selling price of a pair of jeans? ------ selling price = 24 + 0.3*24 = 1.30*24 = \$31.20 ========================= Cheers, Stan H. ================