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 Circles/271016: In triangle ACD, E is a point on segment AD and B is a point on segment AC , such that segment EB is parallel to segment DC. If AE = 3, ED = 6, and DC = 15, find the length of segment EB.1 solutions Answer 198476 by Earlsdon(6287)   on 2010-02-17 21:40:42 (Show Source): You can put this solution on YOUR website!If my intrepretation is correct, my drawing indicates that you have two similar triangles: ACD and ABE, so... Substitute ,, and
 Distributive-associative-commutative-properties/271062: Trying to reverse foil 18x^2-45x Any Thoughts?1 solutions Answer 198472 by Earlsdon(6287)   on 2010-02-17 21:31:03 (Show Source): You can put this solution on YOUR website!How about?
 logarithm/271046: Evaluate the logarithm: log9 1/811 solutions Answer 198471 by Earlsdon(6287)   on 2010-02-17 21:28:52 (Show Source): You can put this solution on YOUR website!Evaluate: Rewrite in exponential form: Substitute = The bases are equal so the exponents are equal.
 Age_Word_Problems/271049: Trisha is 3 times as old as Lilly, as Lilly is twice as old as Emma. If the sum of the tree girls' ages is 27, how old is Emma?1 solutions Answer 198469 by Earlsdon(6287)   on 2010-02-17 21:22:13 (Show Source): You can put this solution on YOUR website!T = 3L "Trisha is 3 times as old as Lilly." L = 2E "Lilly is twice as old as Emma." So T = 3(2E) = 6E. T+L+E = 27 "...the sum of the three girls' ages is 27." Perform the substitutions: 6E+2E+E = 27 Simplify. 9E = 27 Divide by 9. E = 3
 Rational-functions/270984: This one deals with simplifying a rational function. The problem is written as: 6-x-x^2/3x^2-10x+8 Ive tried every possible combination and can't sem to come into any equations that properly simplify.1 solutions Answer 198461 by Earlsdon(6287)   on 2010-02-17 21:12:44 (Show Source): You can put this solution on YOUR website!Simplify: Rewrite the numerator by factoring a (-1). Now factor the trinomials in the numerator and in the denominator. Cancel the indicated factors.
 Age_Word_Problems/271038: Fred is 4 years older than barney, five years ago the sum of their age was 48, how old are they now, please use F for fred and B for barney, thank you1 solutions Answer 198451 by Earlsdon(6287)   on 2010-02-17 20:57:34 (Show Source): You can put this solution on YOUR website!F = B+4 (F-5)+(B-5) = 48 Substitute F = B+4 (B+4-5)+(b-5) = 48 Simplify. 2B-6 = 48 Add 6 to both sides. 2B = 54 Divide both sides by 2. B = 27 and... F = B+4 F = 27+4 F = 31
 Quadratic_Equations/269827: Please help me solve using completing the square: 1 solutions Answer 197690 by Earlsdon(6287)   on 2010-02-15 14:28:32 (Show Source): You can put this solution on YOUR website!Solve by completing the square: Subtract 40 from both sides. Now add the square of half the coefficient of the t-term to both sides. This is Simplify. Take the square root of both sides. or Add 4 to both sides of each solution. or This could be further simplified to: or
 Mixture_Word_Problems/269773: JACKIE WANTS TO MAKE A MIXTURE OF NUTS TO SELL IN HER STORE CONSISTING OF HAZELNUTS AND CASHEWS.HAZELNUTS COST \$6.50 PER POUND AND CASHEWS COST \$4.50 PER POUND. IF JACKIE WANTS 60 POUNDS TOTAL OF MIXTURE AND THE COST TO BE \$5.10 PER POUND, HOW MANY POUND OF EACH WILL SHE NEED?1 solutions Answer 197661 by Earlsdon(6287)   on 2010-02-15 11:28:32 (Show Source): You can put this solution on YOUR website!Let x = the number of lbs. of hazelnuts at \$6.50 per pound and (60-x) = the number of lbs. of cashews at \$4.50 per pound. The mixture (the sum of these two) is to be 60 lbs at \$5.10 per pound. This can be expressed algebraically by: 6.5x+4.5(60-x) = 5.1(60) Simplify. 6.5x+270-4.5x = 306 Combine like-terms. 2x+270 = 306 Subtract 270 from both sides. 2x = 36 Divide both sides by 2. x = 18 Jackie will need to mix 18 lbs. of hazelnuts @ \$6.50 per pound with (60-18 = 42)lbs. of cashews @ \$4.50 per pound to obtain 60 pounds of the mixture @ \$5.10 per pound.
 Miscellaneous_Word_Problems/269618: a rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width. This is my attempt to the problem but then I am stuck. A=lw 216=6(L) * w 1 solutions Answer 197604 by Earlsdon(6287)   on 2010-02-14 20:52:20 (Show Source): You can put this solution on YOUR website!Try this: Substitute A = 216, and L = W+6 Rearrange to: Factor. so... or Discard the negative solution. and... so... The length of the cutting board is 18 inches and the width is 12 inches.
 Geometry_Word_Problems/269127: A rectangular box with no top has height 4 feet. The length of the base is three times the width, and the volume is 300 cubic feet. Find the amount of cardboard needed to construct the box, and label your answer with appropriate units 1 solutions Answer 197264 by Earlsdon(6287)   on 2010-02-13 10:00:19 (Show Source): You can put this solution on YOUR website!The volume of the open-top box (V) is given as 300 sq.ft. For a rectangular prism (a box), the volume is given by: and, in this problem, V = 300 sq.ft., h = 4 ft., W = W and L = 3W, so... Simplify. Divide by 12. and... ft. (Discard the negative solution from the square root). ft. So, to construct an open-top box with the foregoing dimensions, you would need to start with a rectangular sheet of cardboard with a length (l) of L+2h and a width (w) of W+2h, so... and... The initial sheet of cardboard has to be 23ft. by 13ft, from which you would cut the four corners measuring 4ft. by 4ft.
 Equations/269134: five-sixth of what number is -601 solutions Answer 197259 by Earlsdon(6287)   on 2010-02-13 09:41:39 (Show Source): You can put this solution on YOUR website!Let the number be x, then: Multiply both sides by the multiplicative inverse of which is . Evaluate. So, -60 is five-sixths of -72.
 Inverses/269035: Please help me solve this problem y/2-6=41 solutions Answer 197173 by Earlsdon(6287)   on 2010-02-12 20:49:02 (Show Source): You can put this solution on YOUR website!Solve: Add 6 to both sides. Multiply both sides by 2.
 Equations/269037: x to the third power -x to the second power -20x=1 solutions Answer 197169 by Earlsdon(6287)   on 2010-02-12 20:45:36 (Show Source): You can put this solution on YOUR website!= ? Er...what are w supposed to do with this? It can't be solved until we know what that the expression is equal to! Did you want to simplify it??? It would be most helpful if you could articulate your wishes. Simplify:
 Complex_Numbers/268901: How can I solve this equation for b?.... i/a+i/b=3/c Please show steps1 solutions Answer 197022 by Earlsdon(6287)   on 2010-02-12 11:19:35 (Show Source): You can put this solution on YOUR website!Solve for b: Add the fractions on the left side. Cross-multiply. Subtract bci from both sides. Factor b on the right side. Finally, divide both sides by (3a-ci).
 Distributive-associative-commutative-properties/268707: factor the following into the two binomials confirm your answerby multiply the two binomials x^2-36 1 solutions Answer 196907 by Earlsdon(6287)   on 2010-02-11 20:40:41 (Show Source): You can put this solution on YOUR website!The difference of two squares is factored thus: so... You can verify this by multiplying these two factors using the FOIL method.
 Polynomials-and-rational-expressions/268711: find the exact area of a triangle with a base of sqrt(30) meters and a height of sqrt(6 meters)1 solutions Answer 196903 by Earlsdon(6287)   on 2010-02-11 20:33:17 (Show Source): You can put this solution on YOUR website!Start with: for the area of a triangle. Substitute and to get: Substitute Substitute Simplify. Sq. meters.
 Age_Word_Problems/267552: Mr. Atkins is 33 years old and Mr.s Speyer is 27 years old. How many years ago was Mr. Atkins 1.5 as old as Mr Spyer was then?1 solutions Answer 196311 by Earlsdon(6287)   on 2010-02-09 11:38:45 (Show Source): You can put this solution on YOUR website!Let A = Mr. Atkin's present age (33) and S = Mr. Speyer's present age (27). x years ago, Mr. Atkin's age was 1.5 times Mr. Speyer's age then. This can be expressed algebraically as: (A-x) = 1.5(S-x) Substitute A = 33 and S = 27. (33-x) = 1.5(27-x) Simplify and solve for x. 33-x = 40.5-1.5x Add 1.5x to both sides. 33+0.5x = 40.5 Subtract 33 from both sides. 0.5x = 7.5 Divide both sides by 0.5 x = 15 15 years ago, Mr. Atkin's age was 1.5 times Mr. Speyer's age then.
 expressions/267098: whats the answer to -3 to the second power 1 solutions Answer 196082 by Earlsdon(6287)   on 2010-02-08 11:21:27 (Show Source): You can put this solution on YOUR website!It really depends on whether you are asking or ... = or... = Do you see the distinction?
 Money_Word_Problems/267099: If your salary of 33,000 this year was 10% more than last year, what was last years salary? I tried; 33,000*.1=3,300 33,000-3,300=29,700 so last year salary was \$297001 solutions Answer 196079 by Earlsdon(6287)   on 2010-02-08 11:15:56 (Show Source): You can put this solution on YOUR website!Let S be last year's salary, then we have S + 10% of S = \$33,000, or... S+0.1S = \$33,000 Simplify. 1.1S = \$33,000 S = \$33,000/(1.1) S = \$30,000 This was last year's salary.
 Mixture_Word_Problems/266027: Bobby and Mike have a summer job mowing the school yard once a week. The school provides them with two riding lawn mowers.One mower requires 7 hours to mow the school yard, while the other could cover the school yard in 6 hours. How long will the job take using both mowers? (Round your answer to the nearest tenth.)1 solutions Answer 195504 by Earlsdon(6287)   on 2010-02-05 11:43:35 (Show Source): You can put this solution on YOUR website!The first mower can mow of the yard in 1 hour. The second mower can mow of the yard in 1 hour. Together, they can mow of the yard in 1 hour. So it would take them hours to mow the entire yard. hours. Rounded to the nearest tenth this would be 3.2 hours.
 Inverses/265999: use inverse operations to write the inverse of f(x)=x/5+2 1 solutions Answer 195501 by Earlsdon(6287)   on 2010-02-05 11:29:45 (Show Source): You can put this solution on YOUR website!Find the inverse of: Substitute Now exchange the x and y. Solve for y. Substitute Check to see if and... Simplify the right side. so... QED
 Equations/266000: if 2+3=10 7+2=63 6+5=66 8+4=96 WHAT DOES 9+7= 1 solutions Answer 195492 by Earlsdon(6287)   on 2010-02-05 11:15:09 (Show Source): You can put this solution on YOUR website!If: 2+3 = 10 7+2 = 63 6+5 = 66 8+4 = 96 Then... 9+7 = 144
 Miscellaneous_Word_Problems/265484: A pyramid has a volume of 1875 ft cubed. Its base is a square that is 15 ft on each side. What is the height of the pyramid?1 solutions Answer 195201 by Earlsdon(6287)   on 2010-02-04 11:08:22 (Show Source): You can put this solution on YOUR website!Start with the fomula for the volume of a pyramid: Where: B = the area (15X15) of the base and h = the height, so... Divide both sides by 75. ft.
 Surface-area/265045: a machinist drilled a conical hole into a cube of metal. If the cube has sides of length 6 centimeters what is the surface are of the cone shaped hole? 3.14 for pi please help have a diagram if you need it1 solutions Answer 194969 by Earlsdon(6287)   on 2010-02-03 13:51:45 (Show Source): You can put this solution on YOUR website!I'm assuming that the circular base of the conical hole inscribed in the square side of the cube is an exact fit, that is the circle is tangent to the sides of the square. And that the depth of the conical hole does not protrude beyond the other side of the cube. So, given the above, you will have a cone (conical hole) whose circular base has a diameter (D) equal to the length of the side of the cube (D = 6cm.) and the height (h) of the cone (really the depth of the conical hole) is also equal to the length of the side of the cube (h = 6cm.). The surface area (S) of a right circular cone, such as you have here, is given by: Where: R = radius of base of cone = 3cm. and h = height of cone = 6cm. Making the appropriate substitutions... sq.cm.
 Linear-equations/265052: what is the solution of y= -x -3 for the given value of x you put -1 insted of x1 solutions Answer 194966 by Earlsdon(6287)   on 2010-02-03 13:20:44 (Show Source): You can put this solution on YOUR website!Sollve: Substitute x = -1. Evaluate.
 Evaluation_Word_Problems/264504: please help!!! four times a number added to 3 is divided by 8. the result is 7/4 find the number. i set the problem up like this 4x+3/8=7/4 but i cant remember how to work the problem.1 solutions Answer 194724 by Earlsdon(6287)   on 2010-02-02 13:07:52 (Show Source): You can put this solution on YOUR website!OK so far: Multiply both sides by 8. Simplify the right side. Subtract 3 from both sides. Divide both sides by 4.
 Miscellaneous_Word_Problems/264497: if a 150 lb person weighs 55 pounds on mars,about how much does a 7000 lb satellite weigh? round your answer to the nearest pound. i have 2566 is this correct?1 solutions Answer 194722 by Earlsdon(6287)   on 2010-02-02 13:03:20 (Show Source): You can put this solution on YOUR website!Well, I get... 2566.66... and, when rounded to the nearest pound, as instructed, it comes to... 2567 lbs.
 Mixture_Word_Problems/264491: please check my answer. a retirement dinner for two is \$65.20 including tax. find the total cost of the dinner if a tip of 15% is added to the cost. i have 74.981 solutions Answer 194720 by Earlsdon(6287)   on 2010-02-02 12:58:28 (Show Source): You can put this solution on YOUR website!Your answer is good! \$65.20+(0.15)(\$65.20) = \$65.20+\$9.78 = \$74.98
 Graphs/264483: How would i graph this 3x-2y+5=0? How Would i Make it able to be put into my calculator to graph?1 solutions Answer 194719 by Earlsdon(6287)   on 2010-02-02 12:52:46 (Show Source): You can put this solution on YOUR website!First rearrange the equation by solving for y: Add 2y to both sides. Now divide through by 2 to get y by itself. or Now you can graph this by first letting x = 0 and solving for y, then letting y = 0 and solving for x so that you will get two ordered pairs (points) which you can then plot on you coordinate graph paper. Join these two points with a straight line and you will have the graph of the given equation: substitute x = 0. The first point is (, ) Substitute y = 0. Subtract from both sides. Multiply both sides by . The second point is (,) The graph looks like this: For displaying the graph on your calculator, assuming that you have a graphing calculator such as TI-83, TI-86, etc press the "graph" key then, for enter followed by the "enter" or "=" key.
 Polynomials-and-rational-expressions/264438: find the greatest common factor for the group of terms. -42a^3,7a^4 I believe -7 is part of the answer, but not sure what to do with the variables.1 solutions Answer 194713 by Earlsdon(6287)   on 2010-02-02 12:32:34 (Show Source): You can put this solution on YOUR website!Find the GCF of and . Write the prime factors of each expression: Now select those factors that are common to both lists and multiply them: = GCF
 Polynomials-and-rational-expressions/264460: Factor completely 6y2-2yz. Could you show how you got your awnser cause i would like to know how to complete the rest myself.1 solutions Answer 194707 by Earlsdon(6287)   on 2010-02-02 12:13:35 (Show Source): You can put this solution on YOUR website!Factor completely: Rewrite this by factoring each term: Now take out the common factor in each term. ...and that's it!