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edjones answered: 7568 problems
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Numeric_Fractions/336574: How many yards of material from a 24 yard length of cloth remain after 3 pieces each of 3 1/2 yard long and 5 pieces of 2 1/4 yard long are remove 1 solutions Answer 241287 by edjones(7569)   on 2010-08-30 11:24:36 (Show Source): You can put this solution on YOUR website! 3 1/2=7/2 2 1/4=9/4 . 7/2 * 3 = 21/2 = 42/4 9/4 * 5 = 45/4 . 42/4 + 45/4 = 87/4 = 21 3/4 23 4/4 - 21 3/4 = 2 1/4 yards remain . Ed

Equations/336617: Solve P = 1/6 (r + 5t) for r. You must show all work. 1 solutions Answer 241286 by edjones(7569)   on 2010-08-30 11:14:28 (Show Source): You can put this solution on YOUR website! P = 1/6 (r + 5t) 6p=r+5t multiply 6 times each side. 6p-5t=r subtract 5t from each side . Ed

Polynomials-and-rational-expressions/336614: what is the product of the sum and the difference of two numbers equal the difference of their squares expressed algebraically? 1 solutions Answer 241283 by edjones(7569)   on 2010-08-30 11:09:30 (Show Source): You can put this solution on YOUR website! Let the 2 numbers be x and y. (x+y)(x-y)=x^2-y^2 . Ed

Polynomials-and-rational-expressions/336611: Choose the correct simplification of the expression . g to the 5th power h to the 4th power divide by g to the 2nd power h to the 3rd power? A: g to the 7th power h. B: g to the 3rd power h. C: g to the 7th power h to the 7th power. D: g to the 3rd power divided by g to the 7th power. 1 solutions Answer 241279 by edjones(7569)   on 2010-08-30 11:03:56 (Show Source): You can put this solution on YOUR website! g^5h^4/g^2h^3 =g^3h Subtract exponents when dividing. . Ed

Distributive-associative-commutative-properties/336581: how do i change the following 5 * 20 + 5 * 3 into an indicated product 1 solutions Answer 241276 by edjones(7569)   on 2010-08-30 10:59:54 (Show Source): You can put this solution on YOUR website! 5*20+5*3 =100+15 =115 . Ed

Miscellaneous_Word_Problems/336589: A bucket holds 4 quarts of popcorn. If 1/3 cup of corn kernels makes 2 quarts of popcorn, how many buckets can be filled with the popcorn made from 4 cups of kernels? (A) 96 (B) 24 (C) 6 (D) 3 (E) 1 1/2 1 solutions Answer 241274 by edjones(7569)   on 2010-08-30 10:57:18 (Show Source): You can put this solution on YOUR website! 1 cup makes 2*3=6 qts 4*6=24 qts 24/4=6 buckets . Ed

Probability-and-statistics/336607: A bowl contains 1 green marble, 1 yellow marble, and 1 black marble. One marble is drawn from the bowl at random, then a fair die is rolled once. List all the possible outcomes 1 solutions Answer 241270 by edjones(7569)   on 2010-08-30 10:48:37 (Show Source): You can put this solution on YOUR website! There are 18 possible outcomes, one of 3 colors with each of the 6 numbers on the die. Now you can list them yourself. . Ed

Equations/336605: I need help solving this problem 56-2(9+3*2)-9=. Please show me the steps to get to the answer. Thanks! Teisha 1 solutions Answer 241266 by edjones(7569)   on 2010-08-30 10:44:41 (Show Source): You can put this solution on YOUR website! 56-2(9+3*2)-9 =56-2(9+6)-9 =56-2*15-9 =56-30-9 =17 . Ed

Numeric_Fractions/336578: If x = –1 and y = 2, what is the value of the expression 2x3 – 3xy ? A. 8 B. 4 C. –1 D. –4 E. –8 1 solutions Answer 241262 by edjones(7569)   on 2010-08-30 10:39:58 (Show Source): You can put this solution on YOUR website! x=-1, y=2 2x^3-3xy =2(-1)^3-(3*-1*2) =(2*-1)-(-6) =-2+6 =4 . Ed

Probability-and-statistics/336570: A jar contains 10 red, 7 blue and 5 yellow marbles. Blue marbles are then added in order to change the probability of randomly selecting a blue marble from the jar to “greater than 1/2”.What is the least number of blue marbles that must be added? 1 solutions Answer 241259 by edjones(7569)   on 2010-08-30 10:30:19 (Show Source): You can put this solution on YOUR website! The probability before adding any blue balls is 10/(10+7+5)=10/22 Let x be the least number of blue marbles that must be added. (10+x)/(22+x) > 1/2 10+x>(22+x)/2 20+2x>22+x x>2 Since x is greater than 2 then x must be 3. . Ed

Permutations/336569: Five students are to be photographed for the school paper. They are to be arranged standing side by side in a single row with the tallest student in the center and the two shortest students on the ends. If no two students are the same height, how many different arrangements are possible? (A) Two (B) Four (C) Five (D) Six (E) Ten 1 solutions Answer 241248 by edjones(7569)   on 2010-08-30 10:07:41 (Show Source): You can put this solution on YOUR website! Since the tallest student is prearranged in the center there are 2 arrangements for the shortest 2 students and 2 for the medium height students. 2*2=4 B . Ed

Human-and-algebraic-language/336536: A passenger train travels 295 mi in the same amount of time it takes a freight train to travel 225 mi. The rate of the passenger train is 14 mph greater than the rate of the freigh train. Find the rate of each train. Distance Rate Time passenger 295 14+r 295 14+r freight 295 r 225 225 r 295 + 225 = ? 14+r r 1 solutions Answer 241246 by edjones(7569)   on 2010-08-30 09:56:32 (Show Source): You can put this solution on YOUR website! Let f=rate of the freight train, r=rate, d=distance, t=time rt=d t=d/r 295/(f+14)=225/f Since the times are equal. 295f=225(f+14) 295f=225f+3150 70f=3150 f=45 mph f+14=59 mph . Ed

Volume/336532: Find the exact value of the volume of a soup can with a diameter 6 centimeters and height of 8 centimeters. Include correct units with your solution. Use "pi" for p. 1 solutions Answer 241243 by edjones(7569)   on 2010-08-30 09:43:18 (Show Source): You can put this solution on YOUR website! V=pi*r^2*h pi*3^2*8 =pi*9*8 =72*pi cubic centimeters . Ed

Mixture_Word_Problems/336525: How many liters of a 10% alcohol solution must be mixed with 80 liters of a 80% solution to get a 50% solution? 1 solutions Answer 241240 by edjones(7569)   on 2010-08-30 09:37:37 (Show Source): You can put this solution on YOUR website! 80*.8=64 total liters alcohol in 80% soln. x *.1=.1x total liters alcohol in 10% soln. (80+x)*.5=40+.5x total liters alcohol in 50% soln. . 64+.1x=40+.5x 24=.4x x=60 L of the 10% alcohol must be added. . Ed

Quadratic_Equations/336529: solve the following equations for x. A) (x)(x)/(0.500-x) = 8.30 B) 2.94=(2.00 x)2/(0.200-x) C) x2/0.20+x)(0.030+x) = 2.00 D) 4.00x2/(0.100-x)(0.200-x) = 1.45 1 solutions Answer 241230 by edjones(7569)   on 2010-08-30 08:57:00 (Show Source): You can put this solution on YOUR website! (x)(x)/(0.500-x) = 8.30 x^2/(.5-x)=8.3 x^2=8.3(.5-x) x^2=4.15-8.3x x^2+8.3x-4.15=0 x=-8.773..., x=0.4730... (see below) . Ed . Solved by pluggable solver: SOLVE quadratic equation with variable 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=85.49 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.473040125285524, -8.77304012528553. Here's your graph:

Geometry_Word_Problems/336528: A flagpole casts a shadow of 27 feet, while a boy that is 5 feet tall casts a shadow of 3 feet. Determine the height of the flagpole. 1 solutions Answer 241227 by edjones(7569)   on 2010-08-30 08:43:15 (Show Source): You can put this solution on YOUR website! Similar triangles are proportional. Let x=height of the flagpole. x/27=5/3 x=180 . Ed

Surface-area/336526: what are a total Surface of a cube whose edges are 5 feet length 1 solutions Answer 241223 by edjones(7569)   on 2010-08-30 08:35:10 (Show Source): You can put this solution on YOUR website! 5*5=25 area of one side. 25*6=150 sq ft Total surface area of the cube. . Ed

Exponents/336530: The sum of two numbers is -216. One number is five times the other. What are the numbers? 1 solutions Answer 241221 by edjones(7569)   on 2010-08-30 08:32:13 (Show Source): You can put this solution on YOUR website! x+y=-216 y=5x . x+5x=-216 6x=-216 x=-36 y=-180 . Ed

Percentage-and-ratio-word-problems/336522: if the radius of a circle is increased by 50%, what will be the percent increase in the circumference of the circle? 1 solutions Answer 241210 by edjones(7569)   on 2010-08-30 02:00:42 (Show Source): You can put this solution on YOUR website! Let the radius=1 Then the diameter=2 and the circumference = 2pi . If the radius is increased by 50% then it is 1.5 and the circumference=3pi 3pi/2pi=3/2, an increase of 50% . Ed

Quadratic_Equations/336517: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. 5 - 3z2 = 6z HELP PLEASE 1 solutions Answer 241209 by edjones(7569)   on 2010-08-30 01:53:50 (Show Source): You can put this solution on YOUR website! The discriminant = b^2-4ac 5 - 3z2 = 6z y=3z^2-6z-5 a=3, b=-6, c=-5 (-6)^2-4*3*-5 =36-(-60) =36+60 =96 . Since the discriminant is greater than zero there are 2 real answers. Since it is not a perfect square then the answers will be irrational. . Ed

Travel_Word_Problems/336513: A student walks and jogs to college each day. she averages 5km/h walking and 9km/h jogging. the distance from home to college is 8km, and she makes the trip in 1hr. how far does the student jog? 1 solutions Answer 241208 by edjones(7569)   on 2010-08-30 01:35:56 (Show Source): You can put this solution on YOUR website! Let x=fraction of an hour walking. (5/h * xh)+ (9/h * (1-x)h) = 8 5x+9-9x=8 -4x=-1 x=1/4. 9(1- 1/4)=6.75 km distance the student jogs. . Ed

Quadratic_Equations/336508: what is the axis of symmetry of f(x)=x2-7x-60 1 solutions Answer 241207 by edjones(7569)   on 2010-08-30 01:17:38 (Show Source): You can put this solution on YOUR website! f(x)=x2-7x-60 f(x)=ax^2+bx+c axis of symmetry, x = -b/2a =7/2 . Ed

Polygons/336504: Suppose that the interior angles of a convex pentagon are five consecutive numbers. What is the measure of the largest angle? 1 solutions Answer 241203 by edjones(7569)   on 2010-08-30 00:55:27 (Show Source): You can put this solution on YOUR website! 180(n-2)=sum of the interior angles of a polygon. n=number of sides Let the consecutive numbers be x, x+1, x+2, x+3, x+4. 5x+10=180(5-2) ...=180*3 ...=540 5x+10=540 5x=530 x=106 x+4=110 degrees the largest angle. . Ed

Rectangles/336501: How do I find the perimeter and area of this reactangle:L (3x-7) W(x+8) 1 solutions Answer 241202 by edjones(7569)   on 2010-08-30 00:43:09 (Show Source): You can put this solution on YOUR website! L (3x-7) W(x+8) 2L+2W=P 2(3x-7)+2(x+8) =6x-14+2x+16 =8x+2 . Ed

Mixture_Word_Problems/336495: A hospital needs to dilute a 60% boric acid solution to a 10% solution. If it needs 40 liters of the 10% solution, how much of the 60% solution and how much water should it use? 1 solutions Answer 241201 by edjones(7569)   on 2010-08-30 00:40:26 (Show Source): You can put this solution on YOUR website! 40 * 1/6 = 40/6 = 6 2/3 liters.

Pythagorean-theorem/332450: C SQUARED= 136, WHAT IS C? 1 solutions Answer 238252 by edjones(7569)   on 2010-08-17 01:31:53 (Show Source): You can put this solution on YOUR website! c=sqrt(136) =sqrt(4*34) =2sqrt(34) . Ed

Polynomials-and-rational-expressions/332480: 3b multiplied by (-6b^4) =??? 1 solutions Answer 238251 by edjones(7569)   on 2010-08-17 01:17:55 (Show Source): You can put this solution on YOUR website! 3b(-6b^4)=-18b^5

Proportions/332444: A machine fills 750 cartons in 3 hours. how many cartons can this same machine fill in 8 hours 1 solutions Answer 238250 by edjones(7569)   on 2010-08-17 01:04:36 (Show Source): You can put this solution on YOUR website! x/8=750/3 x=2,000 cartons . Ed

Complex_Numbers/332403: 1/(√2)+ x=x/(√2) Thanks 1 solutions Answer 238249 by edjones(7569)   on 2010-08-17 00:57:33 (Show Source): You can put this solution on YOUR website! 1/(√2) + x = x/(√2) 1+sqrt(2)x=x multiply each side by sqrt(2) sqrt(2)x=x-1 2x^2=x^2-2x+1 x^2+2x-1=0 x^2+2x =1 x^2+2x+1=1+1 complete the square. (x+1)^2=2 x+1=+-sqrt(2) sqrt of each side. x=-1-sqrt(2) the only answer.[x=-1+sqrt(2) is extraneous] . Ed

Probability-and-statistics/332409: Find the indicated probability.A study conducted at a certain college shows that 54% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. 1 solutions Answer 238248 by edjones(7569)   on 2010-08-17 00:29:41 (Show Source): You can put this solution on YOUR website! 46% don't of the school's graduates don't find a job in their chosen field within a year after graduation. .46^9=.000922 probability that none of the 9 get a job. 1-.000922=.999078 the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. . Ed

Geometry_Word_Problems/332394: What is the size of an angle whose compliment is 25% of its supplement ? 1 solutions Answer 238245 by edjones(7569)   on 2010-08-17 00:15:21 (Show Source): You can put this solution on YOUR website! Let x be the angle (90-x)=.25(180-x) 90-x=45-.25x .75x=45 x=60 degrees . Ed