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# Recent problems solved by 'ewatrrr'

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 Polynomials-and-rational-expressions/677742: 3(x-1)-2(x2+2x+3)-5(x+*)1 solutions Answer 421036 by ewatrrr(10682)   on 2012-11-08 13:17:28 (Show Source): You can put this solution on YOUR website!``` Hi 7 is 175% of what no 1.75x = 7 x = 7/1.75 = 4 ```
 Linear-equations/677737: A line has x-intercept a^2 and y-intercept ab (a and b are positive). Show that the equation of this line can be written as x/a + y/b = a1 solutions Answer 421030 by ewatrrr(10682)   on 2012-11-08 13:02:56 (Show Source): You can put this solution on YOUR website!``` Hi x-intercept a^2 and y-intercept ab (a^2,0) (0, ab) m = -ab/a^2 = -b/a y = (-b/a)x + ab y/b = -x/a + a x/a + y/b = a ```
 percentage/677733: what is 20% of 110 1 solutions Answer 421026 by ewatrrr(10682)   on 2012-11-08 12:53:40 (Show Source): You can put this solution on YOUR website!``` Hi 20% of 110 is = 22 ```
 logarithm/677734: Match the logarithmic equation with its exponential form. log64 4 = 1/3 1 solutions Answer 421023 by ewatrrr(10682)   on 2012-11-08 12:47:32 (Show Source): You can put this solution on YOUR website!``` Hi ⇒ 64^(1/3) = 4 ```
 Probability-and-statistics/677725: Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(z > c) = 0.1093, find c. 1 solutions Answer 421022 by ewatrrr(10682)   on 2012-11-08 12:44:57 (Show Source): You can put this solution on YOUR website!``` Hi If P(z > c) = 0.1093, find c. P(z ≤ c) = 1- 0.1093 = .8907, c = .81345 ```
 Quadratic_Equations/677696: find the roots of g(x)=6-(x-2)^2 and graph the function 1 solutions Answer 421021 by ewatrrr(10682)   on 2012-11-08 12:39:24 (Show Source): You can put this solution on YOUR website!``` Hi find the roots of g(x)=6-(x-2)^2 6-(x-2)^2 = 0 (x-2)^2 = 6 g(x)= -(x-2)^2 + 6 parabola Opening Downward, V(2,6) ```
 Graphs/677723: Graph the following equations on the same graph showing where they intersect - 3x - 2y = 6 2x + y = 4 1 solutions Answer 421017 by ewatrrr(10682)   on 2012-11-08 12:30:47 (Show Source): You can put this solution on YOUR website!``` Hi 3x - 2y = 6 ||(x,y) ordered pairs (0,-3) & (2,0) on this Line: Plot Pts, connect with line 2x + y = 4 ||(x,y) ordered pairs (0,4) & (2,0) on this Line: Plot Pts, connect with line ```
 Square-cubic-other-roots/677692: Is this how to solve this problem? Multiplying Square Roots: √2(5+√12) =5√2 +√24 =5√2 + √(4)(6) =5√2 + 2√61 solutions Answer 421014 by ewatrrr(10682)   on 2012-11-08 12:08:31 (Show Source): You can put this solution on YOUR website!``` Hi Good Work. ```
 logarithm/676744: I am trying to evaulate the expression of the logarithmic equation. Log(7) the square root of 3431 solutions Answer 420522 by ewatrrr(10682)   on 2012-11-06 17:19:30 (Show Source): You can put this solution on YOUR website!``` Hi NOte: 7^3 = 343 ```
 Rational-functions/676753: What's the equation of a function that has: Horizontal Asymptote at 1 Vertical Asymptotes at -1 and 2 x-intercepts at -2 and 3 y-intercept at 3? It's integrating the y-intercept part into the equation that's really confusing me. Thank you.1 solutions Answer 420512 by ewatrrr(10682)   on 2012-11-06 16:52:03 (Show Source): You can put this solution on YOUR website!``` Hi f(x) = ((x+2)(x-3))/((x+1)(x-2)) y-intercept at 3 ```
 Geometry_Word_Problems/676759: A rectangle's length is 3 more than three times its width . The perimeter is 110 cm. A: Find the rectangle's dimensions and B: Find the area of the rectangle. What does it mean to find the Dimensions? Please help1 solutions Answer 420506 by ewatrrr(10682)   on 2012-11-06 16:40:26 (Show Source): You can put this solution on YOUR website!``` Hi A rectangle's length is 3 more than three times its width finding the Dimensions is to find the length and width 2L + 2W = 110cm L + W = 55cm 3W +3 + W = 55cm 4W = 52cm W = 13cm and L = 42cm and A = L•W = 13cm•42cm = 546cm^2 ```
 Number-Line/676758: I'm confused where to put - 3/5 on a number line?1 solutions Answer 420500 by ewatrrr(10682)   on 2012-11-06 16:30:44 (Show Source): You can put this solution on YOUR website!``` Hi ```
 Quadratic_Equations/676747: Janet threw a basketball. The equation h(t)= -16t^2 +5t+5 describes the height h of the ball in t seconds after she threw it. How many seconds passed before the ball hit the ground? How long did it take for the ball to reach its maximum height?1 solutions Answer 420499 by ewatrrr(10682)   on 2012-11-06 16:29:40 (Show Source): You can put this solution on YOUR website!``` Hi h(t)= -16t^2 +5t+5 h(t)= -16(x- 5/32)^2 + 25/64 + 5 h(t)= -16(x- 5/32)^2 + 5.3906 ||Parabola opening Downward V(5/32, 5.3906) How long did it take for the ball to reach its maximum height? 5/32 sec How many seconds passed before the ball hit the ground? h(t) = 0 -16t^2 +5t+5 = 0 t = .7381 sec passed before the ball hit the ground ```
 Polynomials-and-rational-expressions/676739: I need help understanding this problem. Thank you! Factor out the greatest common factor from the expression: 10x^2yz^3 - 6x^2y^2z - 4xy^3z^2 Multiple Choice: 2xyz(5xz^2 - 3xy - 2y^2z) 2xy(5xz^3 - 3xyz - 2y^2z^2) 2xyz^2(5xz - 3xy - 2y^2) 2x^2y^2z^2(5z - 3 - 2y)1 solutions Answer 420489 by ewatrrr(10682)   on 2012-11-06 16:12:41 (Show Source): You can put this solution on YOUR website!``` Hi 10x^2yz^3 - 6x^2y^2z - 4xy^3z^2 || Dividing: subtract Exponents ```
 Money_Word_Problems/676737: Original price is \$60. Percent discount is 15%.What is the sale price?1 solutions Answer 420482 by ewatrrr(10682)   on 2012-11-06 16:01:48 (Show Source): You can put this solution on YOUR website!``` Hi Original price is \$60. Percent discount is 15% (Paying 85% ) .85 • \$60 = \$51 ```
 Money_Word_Problems/676726: Anthony invested a sum of money 6 yr ago in a savings account that has since paid interest at the rate of 7%/year compounded quarterly. His investment is now worth \$19,713.77. How much did he originally invest? Please round the answer to the nearest cent. A) \$13,000.01 B) \$12,500.01 C) \$14,000.01 D) \$11,500.01 E) \$11,000.011 solutions Answer 420481 by ewatrrr(10682)   on 2012-11-06 15:59:44 (Show Source): You can put this solution on YOUR website!``` Hi In General A = Accumulated Amount 19713.77 P= principal = r= annual rate = .07 n= periods per year = 4 t= years = 6 \$19,713.77/1.5164 = P = \$13,000.01 ```
 Problems-with-consecutive-odd-even-integers/676659: find two consecutive even integers whose sum is 442.1 solutions Answer 420449 by ewatrrr(10682)   on 2012-11-06 13:15:35 (Show Source): You can put this solution on YOUR website!``` Hi find two consecutive even integers whose sum is 442. x + (x+2) = 442 2x = 440 x = 220 two consecutive even integers are: 220, 222 ```
 Problems-with-consecutive-odd-even-integers/676656: find the smallest of three consecutive even integers whose sum is 99.1 solutions Answer 420448 by ewatrrr(10682)   on 2012-11-06 13:13:46 (Show Source): You can put this solution on YOUR website!``` Hi find the smallest of three consecutive even integers whose sum is 99. Not possible for even integers to have a sum of 99 ```
 Probability-and-statistics/676637: Find the probability of receiving more than two calls in a five-minute interval of time.1 solutions Answer 420446 by ewatrrr(10682)   on 2012-11-06 13:10:32 (Show Source): You can put this solution on YOUR website!need more information
 Polynomials-and-rational-expressions/676611: Please help solve the equation MULTIPLY OR DIVIDE AS INDICATED. (4x-4)/(8x-8) + (1/3x) A) 3x/2 B) 12x^3-12x^2/8x^2-8x C.) 2/3x D.) 32x^2 + 64x + 32/3x31 solutions Answer 420435 by ewatrrr(10682)   on 2012-11-06 12:21:18 (Show Source): You can put this solution on YOUR website!Need to put in appropriate parenthesis for clarity
 Numeric_Fractions/676620: Trying to help my daughter on this and I am drawing a blank on how to show her how to do this. She has to simplify. 21/28÷5/28÷49/28 I know I am going to knock myself in the head on this, but I am drawing a blank! Help. Thanks!1 solutions Answer 420431 by ewatrrr(10682)   on 2012-11-06 12:07:11 (Show Source): You can put this solution on YOUR website!``` Hi 21/28÷5/28÷49/28 ||Multiplying by the reciprocals... ```
 Mixture_Word_Problems/676582: A dealer has tea worth \$1.20 a pound and tea worth \$1.90 a pound. How many pounds of each kind must he use to make 70 pounds that can be sold for 1.50 per pound?1 solutions Answer 420414 by ewatrrr(10682)   on 2012-11-06 09:51:41 (Show Source): You can put this solution on YOUR website!``` Hi How many pounds of each kind must he use to make 70 pounds that can be sold for 1.50 per pound? has tea worth \$1.20 a pound and tea worth \$1.90 a pound. Mixing algebraically 1.90x + 1.20(70-x) = 1.50 • 70 .70x = .30• 70 x = 30lb of the \$1.90 and 40lb of the \$1.20 and ```
 Word_Problems_With_Coins/676578: David emptied his pockets and found that he had 30 coins worth \$4.80. He only had quarters and dimes. How do you solve this?1 solutions Answer 420412 by ewatrrr(10682)   on 2012-11-06 09:44:53 (Show Source): You can put this solution on YOUR website!``` Hi David emptied his pockets and found that he had 30 coins worth \$4.80. He only had quarters and dimes. CENTS makes sense 25x + 10(30-x) = 480¢ 15x = 180 x = 12, the number of Quarters. 18 Dimes ```
 Travel_Word_Problems/675996: A boat travels 140 miles going upstream and takes 10 hours. Then travels the same distance downstream in 5 hours. A What is the speed of the boat? B. What is the speed of the current? It's been over 50 years since I took algebra1 solutions Answer 420169 by ewatrrr(10682)   on 2012-11-05 07:27:11 (Show Source): You can put this solution on YOUR website!``` Hi D = rt 0r r = D/t r - c = 14 r + c = 28 2r = 42 r = 21mph and c = 7mph ```
 Word_Problems_With_Coins/675995: how to make 91 cents with 8 coins1 solutions Answer 420168 by ewatrrr(10682)   on 2012-11-05 07:22:05 (Show Source): You can put this solution on YOUR website!``` Hi how to make 91 cents with 8 coins 91 -1 1 Penny -50 2 Quarters -30 3 Dimes -10 2 Nickels ```
 Inequalities/675772: please solve 5(2x-8)-2=5(x-3)+3 i tried 10x-40-2=5x-15+3 then subtract or add 5x to both sides?1 solutions Answer 420045 by ewatrrr(10682)   on 2012-11-04 15:07:16 (Show Source): You can put this solution on YOUR website!``` Hi 5(2x-8)-2=5(x-3)+3 10x-40-2=5x-15+3 Yes. Good work. 10x-42= 5x - 12 || Adding -5x and 42 to both Sides of the Eq to combine Like Terms 5x = 30 x = 6 ```
 Quadratic-relations-and-conic-sections/675764: what is the a,b,and c for y= -x^2+2 and the x intercepts?1 solutions Answer 420042 by ewatrrr(10682)   on 2012-11-04 14:54:39 (Show Source): You can put this solution on YOUR website!``` Hi using standard form: y = ax^2 + bx + c y= -x^2+2 || a = -1 , b = 0 and c = 2 x -intercepts (when y = 0) -x^2 + 2 = 0 x^2 = 2 x = ± sqrt(2) ```
 Polynomials-and-rational-expressions/675761: Word problems are difficult. Could someone please walk me through this problem? Thank you. Andrew factored the expression -30x^3-9x^2-3x as -5x(6x^2-2x-1). But when Melissa applied the distributive law and multiplied out-5x(6x^2-2x-1), she got -30x^3+10x^2+5x; tus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original express, if possible. If the expression is prime, so state this.1 solutions Answer 420040 by ewatrrr(10682)   on 2012-11-04 14:51:42 (Show Source): You can put this solution on YOUR website!``` Hi -30x^3-9x^2-3x = -3x(10x^2 - 3x - 1) = -3x(5x + 1)(2x-1) Check factoring of (10x^2 - 3x - 1) Using FOIL F First terms O Outside terms I Inside terms L Last terms ```
 Quadratic_Equations/675757: Write the quadratic function in the form f(x)=a(x-h)^2+k Then, give the vertex of its graph f(x)=2x^2+20x+52 1 solutions Answer 420038 by ewatrrr(10682)   on 2012-11-04 14:48:15 (Show Source): You can put this solution on YOUR website!``` Hi f(x)=2x^2+20x+52 =2x^2+20x + 50 -50 +52 = 2(x+5)^2 - 50 + 52 = 2(x+5)^2 + 2 , V(-5,2) the vertex form of a Parabola opening up(a>0) or down(a<0): where(h,k) is the vertex ```
 Polynomials-and-rational-expressions/675758: Could someone please explain how to go about solving this? Thank you. The area of a rectangular athletic field is represented by the expression 64y^2-25z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution.1 solutions Answer 420036 by ewatrrr(10682)   on 2012-11-04 14:46:09 (Show Source): You can put this solution on YOUR website!``` Hi A = 64y^2-25z^2 = (8y-5z)(8y+5z) ||Factors representing one possible set of dimensions ```
 Trigonometry-basics/675752: if an object is propelled upward from a height of 64 feet at an initial velocity of 48 feet per second, then its height h after t seconds is given by the equation h=-16t^2+80t+48. after how many seconds did the object hit the ground1 solutions Answer 420035 by ewatrrr(10682)   on 2012-11-04 14:44:00 (Show Source): You can put this solution on YOUR website!``` Hi h= -16t^2+80t+48 = 0 (object hitting the ground) -16t^2+80t+48 = 0 16t^2-80t-48 = 0 t^2-5t-3 = 0 ||Positive value only for unit measure 0r -16(t-5/2)^2 + 100 + 48 = 0 -16(t-5/2)^2 + 148 = 0 t = 5/2 ± sqrt(148/16) t = 5/2 ± sqrt(37)/2 ```