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edjones answered: 7568 problems
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Numbers_Word_Problems/102201: Please help with this problem. This sounds easy but it may be a trick question. My answer would be any number you start with it doesn't matter. The question is: Javier said, I have a number in mind. If I add 5 to it, then subtract 5 from it, the average of the results is the number I started with. Can you tell for sure what the number he has in mind? Why ? Thanks, Brian 1 solutions Answer 74362 by edjones(7569)   on 2007-10-04 12:57:37 (Show Source): You can put this solution on YOUR website! Let x be the number. 2x/2=x x=x While what he says is true it is meaningless also because we knew x=x before he started. Ed

Equations/102186: If {c,d} is the solution set of x^2-7=6x evaluate the following: c^3+c^2d+cd^2+d^3 1 solutions Answer 74360 by edjones(7569)   on 2007-10-04 12:46:21 (Show Source): You can put this solution on YOUR website! x^2-6x-7=0 (x-7)(x+1)=0 x=7 x=-1 so (c,d)=(7,-1) c^3+c^2d+cd^2+d^3 =7^3+7^2*-1+7(-1)^2+(-1)^3 =343-49+49-1=342 Ed

Polynomials-and-rational-expressions/102211: Perform the indicated operations. Simplify if possible. 42/7x + 40/8x 1 solutions Answer 74357 by edjones(7569)   on 2007-10-04 12:34:56 (Show Source): You can put this solution on YOUR website! I assume this is the problem. 6x+5x=11x Ed

Linear-equations/102253: A line passes through the origin and the point (-6, 5). Write the equation of the line that passes through (-6, 5) and is perpendicular to the given line. Write the final answer in the slope-intercept form y = mx + b. (The slope and y-intercept must be written as fractions, when needed). 1 solutions Answer 74356 by edjones(7569)   on 2007-10-04 12:29:31 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Finding the slope Slope of the line through the points (0, 0) and (-6, 5) Answer: Slope is the slope of a line perpendicular to the given line is Solved by pluggable solver: FIND a line by slope and one point What we know about the line whose equation we are trying to find out: it goes through point (-6, 5) it has a slope of 1.2 First, let's draw a diagram of the coordinate system with point (-6, 5) plotted with a little blue dot: Write this down: the formula for the equation, given point and intercept a, is (see a paragraph below explaining why this formula is correct) Given that a=1.2, and , we have the equation of the line: Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: . Here's the graph: Ed

Expressions-with-variables/102294: subtract the following: x^2+2x/3x - x^2+5x+6/3x I came up with x^4+5x+6/3x...is that right? I need step by step if my answer is wrong. Thank you so much for all your help. 1 solutions Answer 74353 by edjones(7569)   on 2007-10-04 12:02:40 (Show Source): You can put this solution on YOUR website! I assume this is the problem. 2/3-5x-2x cancel out factors 2/3-7x Ed

Equations/102293: This question is from textbook 2h/5-1/5=3h/5+4/5-2h/5 plesae help! 1 solutions Answer 74352 by edjones(7569)   on 2007-10-04 11:45:18 (Show Source): You can put this solution on YOUR website! 2h/5-1/5=3h/5+4/5-2h/5 2h-1=3h+4-2h muletiply each side times 5 to get rid of fractions. 2h-1=h+4 h=5 subtract h and add 1 to each side. Check: 10/5-1/5=15/5+4/5-10/5 9/5=9/5 Ed

Quadratic_Equations/102226: 5xsquared-x to the 4th +4=0 1 solutions Answer 74345 by edjones(7569)   on 2007-10-04 11:35:30 (Show Source): You can put this solution on YOUR website! 5x^2-x^4+4=0 x^4-5x^2-4=0 multiply each side times -1. x= +-2.3878... Ed

real-numbers/102227: This question is from textbook Algebra Structure and Method -5a-(-1/2b)+31/2a-1/2b 1 solutions Answer 74341 by edjones(7569)   on 2007-10-04 11:22:19 (Show Source): You can put this solution on YOUR website! -5a-(-1/2b)+31/2a-1/2b Ed

Equations/102249: The winner of the track meet had an average speed of 5 meters per second. the second plae runner had an average speed of 4.5 meters per second. if the winner finished 2.2 seconds ahead of the second place runner, how long did it take the winner to cross the finish line? 1 solutions Answer 74337 by edjones(7569)   on 2007-10-04 11:11:38 (Show Source): You can put this solution on YOUR website! 5m/s 4.5m/s d=st d=distance s=speed t=time st=st 5t=4.5(t+2.5) 5t=4.5t+11.25 .5t=11.25 subtract 4.5t from each side. t=11.25/.5 divide each side by .5 t=22.5 sec. Ans Check: 5*22.5=112.5 m (dist of race) 4.5(22.5+2.5)=4.5*25=112.5 m Ed

Miscellaneous_Word_Problems/102045: What is the probability of winning a lottery game where the winning number is made up of seven digits from 0 to 9 chosen at random? I have answered this question and still have them wrong...please help! 1 solutions Answer 74336 by edjones(7569)   on 2007-10-04 10:51:56 (Show Source): You can put this solution on YOUR website! 1/10^7= 1/10,000,000

Linear-equations/102019: Solve the equation. 14) 4(2z - 3) = 7(z + 5) 1 solutions Answer 74335 by edjones(7569)   on 2007-10-04 10:44:29 (Show Source): You can put this solution on YOUR website! 4(2z - 3) = 7(z + 5) 8z-12=7z+35 z=47 Subtract 7z and add 12 to each side. Check: 4(2*47-3)=7(47+5)...4(94-3)=7*52...4*91=364...364=364 Ed

Quadratic-relations-and-conic-sections/102276: invastigate the promlem y=xsquar+4x-4 name... table like x and y domain.... range..... slope.... asyptom.... graph "that is my question i hope you may uderstand cause i am not good in english" 1 solutions Answer 74333 by edjones(7569)   on 2007-10-04 10:34:24 (Show Source): You can put this solution on YOUR website! y=x^2+4x-4 domain: all real numbers. range: [-8,infinity) Ed Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=32 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.82842712474619, -4.82842712474619. Here's your graph:

Geometry_Word_Problems/102154: A tennis ball can in the shape of a cylinder with a flat top and bottom of the same radius as the tennis balls is designed so the space inside the can that is not occupied by the balls has a volume at most equal to the volume of one ball. What is the largest number of balls that the can will contain? 1 solutions Answer 74319 by edjones(7569)   on 2007-10-04 01:25:18 (Show Source): You can put this solution on YOUR website! Cylinder A=pi*r^2*h Sphere A= 4/3*pi*r^3 . for 1 ball with a radius of 1 Cylinder A=6/3*pi (h=2r=6/3) Sphere A= 4/3*pi ------------------ difference 2/3*pi . for 2 ball with a radius of 1 Cylinder A=12/3*pi Sphere A= 8/3*pi ------------------ difference 4/3*pi= volume of 1 ball . Can will hold no more than 2 balls. Ed

Geometry_Word_Problems/102269: I really need help understanding how to work this word problem out. If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find the area of, provide as good an estimate as you can. Assume the goat is tied to a corner outside the barn, cannot get in, and that the barn is not grazing area. (Remember, this will be based on parts of circles, no other shapes...the goat's rope will only get shorter when he tries to go around the barn...) 6. How much of the 50 foot circle can the goat reach without getting interrupted by the barn? What is that area? 1 solutions Answer 74317 by edjones(7569)   on 2007-10-04 00:48:38 (Show Source): You can put this solution on YOUR website! I'll answer the 2nd question 1st. It can graze 3/4 of a circle with a 50' radius. That area = pi*50^2= 2500*pi*(3/4)= 1875*pi Of the area not covered it has two 1/4 circles= 1 semicircle with a radius of 30' that area = pi*30^2*.5= 450*pi. 1875*pi + 450*pi = 2325*pi sq. ft. Ed

Expressions-with-variables/102263: -12 1/5 - 3 3/10 Im Not Quite Sure How To DO This Problem. I know i simplify it first -12 2/10 - 3 3/10 THEN WHAT??? please help me out and show the steps THANK YOU Conner 1 solutions Answer 74314 by edjones(7569)   on 2007-10-04 00:13:39 (Show Source): You can put this solution on YOUR website! -12 1/5 - 3 3/10 = -61/5 - 33/10 = -122/10 - 33/10 LCD=10 = -155/10 or if you like -15 1/2 Ed

Expressions-with-variables/102264: A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a yearly fee of $150 and $2 per day to use the volleyball courts. Write and solve an equation to find how many days you must use the volleyball courts to justify becoming a member. 1 solutions Answer 74313 by edjones(7569)   on 2007-10-04 00:05:05 (Show Source): You can put this solution on YOUR website! let x= number of days 8x=2x+150 6x=150 x=25 days. Check: 50+150=200 8*25=200 Ed

Exponents-negative-and-fractional/102265: This question is from textbook Algebra1 What is negative two thirds plus negative three fifths? 1 solutions Answer 74312 by edjones(7569)   on 2007-10-03 23:59:20 (Show Source): You can put this solution on YOUR website! -2/3 + (-3/5) =-2/3 - 3/5 =-10/15 -9/15 = -19/15 Ed

Surface-area/102261: a triangle has area of 768 ft squared with a base of 48 ft.the scale drawing of the figure has a scale of 1/16 inch to 1 ft. what is the area to the scale drawing of this triangle? 1 solutions Answer 74311 by edjones(7569)   on 2007-10-03 23:54:40 (Show Source): You can put this solution on YOUR website! 0.5*a*b=A a=altitude b=base=48' A=area 0.5a*48=768 a=768/24=32' divide each side by 24. Proportion for 1/16" : 12" b=3" a=2" A=.5*3*2= 3 sq inches (Ans.) Ed

Linear_Equations_And_Systems_Word_Problems/102257: 45 heads and 55 feet. Z=1 head and 3 feet. B=4 heads and 2 feet. How many Z's and B's can you make? Thank you. 1 solutions Answer 74307 by edjones(7569)   on 2007-10-03 22:36:36 (Show Source): You can put this solution on YOUR website! 5 Z's = 5H + 15F 8Z+8B=40H+40F ------------------- 13Z+8B=45H+55F . Ed

real-numbers/102003: 28-4x2 divided by one half 1 solutions Answer 74160 by edjones(7569)   on 2007-10-03 01:33:28 (Show Source): You can put this solution on YOUR website! 4*2=8 28-8=20 20/2=10

Geometry_Word_Problems/101992: The lenght of a rectangle is one inch less than twice its width. The diagonal of the rectangle is two inches more than its length. Find the area of the rectangle. 1 solutions Answer 74159 by edjones(7569)   on 2007-10-03 01:28:08 (Show Source): You can put this solution on YOUR website! L=2W-1 c=diagonal and is the hypotenuse of a triangle with sides L and W c=2W+1 a^2+b^2=c^2 (2W-1)^2+W^2=(2W+1)^2 4W^2-4W+1+W^2=4W^2+4W+1 W^2-8W=0 W(W-8)=0 W=0, W=8 Since the rectangle can't have a width of 0 W=0 is not an answer. W=8 is the only answer. L=15 c=17 A=15*8=120sq inches (Answer) check: 8^2+15^2=64+225=289 17^2=289 Ed

Linear_Algebra/101978: after hours of trying to help my kid i cannot figure this out and nothing i can or have tried works (x/x*x)+(x*x*x/x)+(x*x)=100 using only 1 - 9 1 solutions Answer 74156 by edjones(7569)   on 2007-10-03 00:59:25 (Show Source): You can put this solution on YOUR website! 1/x+x^2+x^2=100 2x^2+1/x=100 2x^3+1=100x multiply time x to eliminate fraction. 2x^3-100x+1=0 As you can see from the graph there are 3 answers. x=-7.08..., x=.01, x=7.07... Ed

Sequences-and-series/101976: Find the 37th term of the sequence 2,5,8,11,14,... My answer = 110 My question is that I need to make a sequence of the above problem and identify it as geometric or arithmetic. 1 solutions Answer 74153 by edjones(7569)   on 2007-10-02 23:52:34 (Show Source): You can put this solution on YOUR website! where d=common difference, , n=number of terms. d=3 n=37 c=2-3 you are correct. congratulations. Ed

Rational-functions/102000: Though this question is not out of our textook, it is based on Chapter 6. We are studying Rationals and Radicals. Somebody Please Help! I feel as though I am beating my head against a brick wall!! Ouch! Simplify: x^2 + x - 12 -------------- 2x^2 - 3x -9 Please help me to solve and understand the proper steps to solving. Thank You! 1 solutions Answer 74152 by edjones(7569)   on 2007-10-02 23:40:40 (Show Source): You can put this solution on YOUR website! x^2 + x - 12 (x+4)(x-3) . 2x^2 - 3x -9 Error, solver not defined for name 'quadratic_factoring'. Error occurred executing solver 'quadratic_factoring' .

Rational-functions/101998: This question is from textbook Algebra 2 Question #3 There were 6 more girls than twice the number of boys. There were 36 boys and girls in all. How many boys and how many girls were there? 1 solutions Answer 74151 by edjones(7569)   on 2007-10-02 23:16:33 (Show Source): You can put this solution on YOUR website! g=number of girls, b=number of boys g+b=36 g=2b+6 . 2b+6+b=36 replace g with 2b+6 in 1st equation. 3b+6=36 3b=30 subtract 6 from each side. b=10 divide each side by 3. g+10=36 g=26 Ed

Linear-equations/101932: What would the equation be for the line that passes throught the points (2,3) and (4,7). The answer should be in point slope form. 1 solutions Answer 74117 by edjones(7569)   on 2007-10-02 20:24:20 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Finding the Equation of a Line First lets find the slope through the points (,) and (,) Start with the slope formula (note: (,) is the first point (,) and (,) is the second point (,)) Plug in ,,, (these are the coordinates of given points) Subtract the terms in the numerator to get . Subtract the terms in the denominator to get Reduce So the slope is ------------------------------------------------ Now let's use the point-slope formula to find the equation of the line: ------Point-Slope Formula------ where is the slope, and (,) is one of the given points So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Distribute Multiply and to get Add to both sides to isolate y Combine like terms and to get ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line which goes through the points (,) and (,) is: The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver) Graph of through the points (,) and (,) Notice how the two points lie on the line. This graphically verifies our answer.

Miscellaneous_Word_Problems/101926: the sum of four consecutive odd integers is 184. what are the integers? 1 solutions Answer 74114 by edjones(7569)   on 2007-10-02 20:21:48 (Show Source): You can put this solution on YOUR website! let the integers be: x, x+2, x+4, x+6 x+ x+2+ x+4+ x+6 = 184 4x+12=184 4x=172 x=43 the integers are: 43, 45, 47, 49 Ed

Miscellaneous_Word_Problems/101578: Could someone please help me solve this word problem? The demand equation for a certain type of printer is given by The supply equation is predicted to be Find the equilibrium price. 1 solutions Answer 74110 by edjones(7569)   on 2007-10-02 20:13:06 (Show Source): You can put this solution on YOUR website! I am guessing that when supply=demand then there is equilibrium and the demand equation equals the supply equation. -200p+35000=-p^2+400p-20000 p^2-600p+55000=0 p=113, p=487 Ed Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=140000 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 487.082869338697, 112.917130661303. Here's your graph:

Linear_Equations_And_Systems_Word_Problems/101895: Slove each right triangle. Round measures of side to the nearest tenth and measures of angles to the nearest degree. GIVEN: A= 25 degrees c=6 1 solutions Answer 74094 by edjones(7569)   on 2007-10-02 19:06:33 (Show Source): You can put this solution on YOUR website! A= 25 degrees c=6 hypotenuse sin(25)=opp/hyp=a/6 a=sin(25)*6=2.5 cos(25)=adj/hyp=b/6 b=cos(25)*6=5.4 B=90-25=65 deg Ans: sides: a=2.5 b=5.4 c=6 Angles: A=25 B=65 C=90 Ed

Polynomials-and-rational-expressions/101882: PLEASE HELP ME WITH THIS EQUATION!! What are the excluded values of n in the expression * 1 solutions Answer 74089 by edjones(7569)   on 2007-10-02 18:22:27 (Show Source): You can put this solution on YOUR website! Whatever makes the denominators zero because division by zero is forbidden. So n can't be 8, -3 and/or 1.5 Ed

Quadratic_Equations/101897: solve for x using the quadratic formula x2+8x-5=0 1 solutions Answer 74088 by edjones(7569)   on 2007-10-02 18:14:35 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=84 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.58257569495584, -8.58257569495584. Here's your graph: