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# Recent problems solved by 'Earlsdon'

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 percentage/26549: if 98 girls and 87 boys attend a dance. what percentage of attendees were female1 solutions Answer 14433 by Earlsdon(6287)   on 2006-02-05 11:19:22 (Show Source): You can put this solution on YOUR website!To find the percentage of female attendees, divide the number of female attendees by the total number of attendees then multiply by 100 to get percentage. = 52.97%
 Polynomials-and-rational-expressions/26543: I have attempted to solve this problem and am lost since I am not sure if I am doing this right or not. Any help in pointing out my mistakes would be great. Show each step in adding the following rational expression [(9m)/(3m-1) + [3/1-3m)] This is what I have tried 9m+3 / (3m-1) + (1-3m) 9m+3 / (3m-1) + (1 +3m) sign change 9m+3/6m I have no idea if this is right or not. Thank you for your help. 1 solutions Answer 14432 by Earlsdon(6287)   on 2006-02-05 11:12:33 (Show Source): You can put this solution on YOUR website!Try this: Rewrite the second term. Perform the indicated subtraction. Factor out a 3 in the numerator. Cancel the common factor (3m-1). The answer is 3
 Travel_Word_Problems/26560: My question is: After driving 60km, the bonewitz family has completed 3/5 of their vacation. How long is the total trip?1 solutions Answer 14430 by Earlsdon(6287)   on 2006-02-05 10:57:53 (Show Source): You can put this solution on YOUR website!Let x = the number of kilometers in the total trip. Multiply both sides of the equation by the multiplicative inverse of which is. Total trip is 100 km.
 test/26554: Is this solvable? This is a take home quiz. I know that this is the conversion from fahrenheit to celsius, but it doesn't give anything to convert. The question is: Solve the given formula for the specified variable: C = 5/9(F - 32) for F Thank you for your help.1 solutions Answer 14428 by Earlsdon(6287)   on 2006-02-05 10:53:18 (Show Source): You can put this solution on YOUR website!To solve this for F, all you do is rearrange the equation so that F = something. Multiply both sides of the equation by the multiplicative inverse of which is. Now add 32 to both sides. or ...and there it is!
 Length-and-distance/26516: How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?1 solutions Answer 14383 by Earlsdon(6287)   on 2006-02-04 13:36:54 (Show Source): You can put this solution on YOUR website!First, you'll need to find the volume of the cylindrical tank. Then, you'll need to find the density (gallons/cubic foot) of water. Your answer will be the product of these two quantities. Using: r = 12 ft. and h = 30 ft. Using as an approximation. cubic feet. Density of water: 7.48 gallon(U.S. liquid) per cubic foot. Capacity of tank: C = 101,465 gallons of water.
 Radicals/26403: it's asking me to find the square root of 27/y^6....but it has a little 3 outside the rational sign...does that make sense?1 solutions Answer 14379 by Earlsdon(6287)   on 2006-02-04 10:57:53 (Show Source): You can put this solution on YOUR website!Yes, it does make sense. You are being asked to find the "cube root" of The "cube root" sign uses the same "radical" sign as the square root, but with a little 3 in the front. You can also write the cube root as an exponent, thus: You can rewrite this expression as factors. = Multiply the exponents to get: The answer is:
 percentage/26492: Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is Adam's correct average test score?1 solutions Answer 14376 by Earlsdon(6287)   on 2006-02-04 10:46:56 (Show Source): You can put this solution on YOUR website!Let the sum of Adam's seven test scores = x. Let's find the sum. Multiply by both sides by 6. The sum of Adam's seven test scores is 504. To find the correct average, you'll divide this sum by the number of scores, or 7. Let A = Adam's correct average. Adam's correct average test score is 72.
 Quadratic_Equations/26253: I'm having trouble with the following problem. Could someone please help me divide the problem below into the simplest form, showing work steps: 3y - y^2 +2y^3 +2 divided by 2y + 1 Thank you!1 solutions Answer 14343 by Earlsdon(6287)   on 2006-02-03 19:16:56 (Show Source): You can put this solution on YOUR website!2)Simplify: Rewrite the numerator. Factor the numerator. Cancel the (2y+1)'s in the top and bottom. This is it!
 Geometric_formulas/26465: A rectangular garden is to be surrounded by a walkway of constant width. The gardens dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth? I am unable to figure this problem out at all. If you could please help me I would greatly appreciate it!! Thank you!!1 solutions Answer 14317 by Earlsdon(6287)   on 2006-02-03 12:15:29 (Show Source): You can put this solution on YOUR website!Let the width of the walkway = x ft. The total area, A, of the garden plus walkway can be expressed in terms of x as follows: A = L*W Perform the indicated multiplication. The total area is given as 8000 sq.ft., so: Subtract 8000 from both sides of the equation. Solve this quadratic equation for x. First factor out a 4. Apply the zero products principle. Solve using the quadratic formula: = -38.86 Discard this negative solution. = 3.86 ft. The walkway is 3.86 feet wide.
 Equations/26386: This equation I have been stuck on it for three days now and can not seem to get past it: 5-a/b ------ 15/b My answers for solutions are A) 5b - 1 ----------- 15 B) 5b - a ---------- 15 C) 5-a -------- 15 D) b-a -------- 3 This is a division problem that is why I put the lines there. I believe I would divide the 15 by 5 = 3. Then I think I would also divide the b by the b which would eliminate the b. So I would have gotten this for an answer: 5 - a -------- 3 But this is not an answer on the test as you can see. Where am I going wrong with this problem? Thank you so much for your help!1 solutions Answer 14273 by Earlsdon(6287)   on 2006-02-02 21:34:18 (Show Source): You can put this solution on YOUR website!First of all, this "equation" is an "expression" and I expect the directions are to..."simplify this expression" First, simplify the numerator. Now divide the numerator by the denominator by changing the sign to multiply and inverting the denominator. Now cancel the b's ...and there you have it!
 Exponents/26443: Please help me solve this: 5x^2=3x1 solutions Answer 14272 by Earlsdon(6287)   on 2006-02-02 21:17:11 (Show Source): You can put this solution on YOUR website!Solve: Subtract 3x from both sides. Factor out an x. Apply the zero products principle. and/or so The two roots are:
 Polynomials-and-rational-expressions/26434: -6x^2+25x-14/-10x^2+39x-14 This needs to be simplified, I just have no idea how to do it....it's due tonight for my online class! HELP!1 solutions Answer 14270 by Earlsdon(6287)   on 2006-02-02 21:13:13 (Show Source): You can put this solution on YOUR website!Simplify: First, factor out -1 from the top and the bottom. Next, cancel the -1's Now factor the top and the bottom. Cancel the 's This is it!
 Polynomials-and-rational-expressions/26426: what is the way to solve for b^2+5b-24 and how do you do it?1 solutions Answer 14268 by Earlsdon(6287)   on 2006-02-02 20:43:39 (Show Source): You can put this solution on YOUR website!Well, you can not really solve for b unless you have an equation. What you have here is an expression and expressions can be simplified or evaluated, but not "solved" Now, if your problem were stated as an equation such as: Then this can be "solved" Perhaps you have left something out of your problem statement!
 Expressions-with-variables/26429: My problem is 2(x-3)-3(x+5)=3(x-2)-7 I need to solve for x and I can not get the answer. I have gotten so many different answers for x. I get a different answer everytime. How do I do this problem?1 solutions Answer 14267 by Earlsdon(6287)   on 2006-02-02 20:38:25 (Show Source): You can put this solution on YOUR website!This problem is largely an application of the distributive property. Apply the disributive property. Combine like-terms. Add x to both sides of the equation. Add 13 to both sides. Divide both sides by 4. Answer is: x = -2
 Inequalities/26350: Kina solved -15q<135 by adding 15 to each side of the inequality. What mistake did she make? B. kina's solution was q<150. She checked her work by substituting 150 for q in the original inequality. Why didn’t her check let her know that she had made a mistake? 1 solutions Answer 14208 by Earlsdon(6287)   on 2006-02-02 11:22:33 (Show Source): You can put this solution on YOUR website!First, Kina tried to add un-like terms (-15q+15) does not equal q, it equals (-15q+15). When she used 150 to check her solution, it would appear to have checked out because she would have ended up with: -2250<135 and this is true. What Kina should have done is divide both sides of the inequality by -15 and, in doing this, she also should have reversed the order of the inequality. Divide both sides by -15 and reverse the order of the inequality. To check her solution, Kina should try a number that is greater than -9 because her solution is the set of all numbers greater than -9. Try -5: It checks!
 Polynomials-and-rational-expressions/26327: I did this problem and I don't know what I did wrong could someone please help me? Simplify: (f^2 + 4f-1)+(2f^2-3f+2) this is what I did: =(f^2+2f^2)+(4f-3f)+(-1+2) = 2f^2+2 + f-5 = 2f^4+f-5 could you explain what I did wrong? thank you1 solutions Answer 14164 by Earlsdon(6287)   on 2006-02-01 23:00:01 (Show Source): You can put this solution on YOUR website!Simplify: You started out just fine by combining like-terms. Then something went awry! You probably missed the 1 in front of so that and I don't see where the -5 came from. It should be:
 absolute-value/26323: Why is Absolute Value of Every Real Number a Positive?1 solutions Answer 14163 by Earlsdon(6287)   on 2006-02-01 22:51:46 (Show Source): You can put this solution on YOUR website!Because the absolute value of a number is defined to be the distance of that number from zero on the number line. And distances are positive.
 Triangles/26185: a landscape architect designed a flower bed in a shape of a triangle with side lengths 12,14,15.the architech needs to know the area of the flower bed. My Notes to you: it shows a triangle. base is 14 and the sides are 13 and 15. with a line down the middle. I belive Im suppose to use the pangerium therom All I need to know how to find the height. Ive tried to split 14 in different ways but the height is not the same on both sides Thanks for all the help!!!1 solutions Answer 14161 by Earlsdon(6287)   on 2006-02-01 22:42:20 (Show Source): You can put this solution on YOUR website!Well, you must be studying a new theorem because I've never heard of the "Pangerium theorem"! Perhaps you meant to write "Pythagorean theorem" but if the problem is to find the area of the triangle, you don't need to find the height since you are given the lengths of the three sides. You can use Heron's formula for finding the area if you know the lengths of the three sides. a = 13, b = 14, and c = 15 Heron's formula: Where: S is the semi-perimeter of the triangle and a, b, and c are the lengths of the sides. sq.units. But now, let's try to find the height of the scalene triangle. The base is 14, so when we drop a perpendicular line from the vertex angle to the base, the base is split into two unequal parts. Let's label one part x. The other part will then be 14-x. So we now have two right triangles whose dimension are: 1) Hypotenuse = 13, base = x, and the height = h. 2) Hypotenuse = 15, the base = 14-x, and the height = h (same as the h above) Now we can use the Pythgorean theorem to find the height, h. For triangle 1): Solve this for . For triangle 2): Solve this for . Simplify. But , so... Simplify and solve for x. Add to both sides. Subtract 29 from both sides. Divide both sides by 28. or Now substitute this value into one of the two equations for and solve for h. Take the square root of bothsides. Discard the negative solution as the height can only be positive. So, finally, we have the height of the scalene triangle and now we can find the area using: where b = 14 and h = 12. sq. units.
 Polynomials-and-rational-expressions/26313: hi. the directions say to multiply but i need some basic instructions. thank you.1 solutions Answer 14155 by Earlsdon(6287)   on 2006-02-01 21:32:21 (Show Source): You can put this solution on YOUR website!You can multiply these binomials using the method known as FOIL which stands for First, Outer, Inner, Last. =
 Numeric_Fractions/26309: 4) A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism. So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved. a) How much money would Mr. Brown have to put on the 32nd square? 1 solutions Answer 14152 by Earlsdon(6287)   on 2006-02-01 21:23:14 (Show Source): You can put this solution on YOUR website!This is a variation an old story. By placing 1 penny on the first square, two pennies on the second square, three pennies on the third square, etc, Farmer Brown is creating a geometric sequence in which each term can be represented by: (an) where n = the ordinal number of the term. So, a(1) is the first term, a(2) is the second term, etc. The nth term of such a sequence is given by: where a(1) is the first term and (r) is the common ratio and is found by. In this problem, r = 2 and a(1) = 1 (penny) The 32nd term would be = and, since this is the number of pennies, this would amount to \$21,474,836.48 Note: a(1) means... a sub 1
 Inequalities/26307: how do you solve this problem. step by step 2x+2>5x+11 solutions Answer 14148 by Earlsdon(6287)   on 2006-02-01 20:45:44 (Show Source): You can put this solution on YOUR website!You can solve inequalities such as this much like you would solve equations. Subtract 2x from both sides of the inequality. Subtract 1 from both sides. Finally, divide both sides by 3. or
 Complex_Numbers/26058: ok, i just DONT understand imaginary numbers in problems! i really need help! heres a problem: 7i^3 + 8i^12 +9i^17 -5i^16 = ? PLEASE HELP! i dont know what to do with the numbers in front...!!!1 solutions Answer 14034 by Earlsdon(6287)   on 2006-01-31 11:38:11 (Show Source): You can put this solution on YOUR website!Imaginary numbers: In math, the lower-case letter i is used to stand for the square root of -1, thus: If you multiply i times i or this is the same as multiplying = -1 so you can see that Now if you keep doing this, that is, find ,,, you begin to see a definite pattern: = = = = = = = ...and so on. Do you see it? Sometimes it's helpful to constuct a table for the values of for different values of n: n---- -------------- 1.....i 2....-1 3....-i 4.....1 5.....i 6....-1 7....-i 8.....1 9.....i 10...-1 11...-i 12....1 and so on As for the number in front of the i's in your problem, you just multiply by that number. For example: = = 8
 Distributive-associative-commutative-properties/26067: A right triangle has sides 15cm and 20cm. What is the lenght of the hypotenuse?THANKYOU1 solutions Answer 14001 by Earlsdon(6287)   on 2006-01-30 21:45:37 (Show Source): You can put this solution on YOUR website!Use the Pythagorean theorem to determine the length of the hypotenuse, c. The length of the hypotenuse is 25cm.
 Polynomials-and-rational-expressions/26071: 16x^2+72xy+81y^2 facotor each plynomial completely1 solutions Answer 14000 by Earlsdon(6287)   on 2006-01-30 21:39:40 (Show Source): You can put this solution on YOUR website!Notice that the first term and the last term are both perfect squares: and respectivley. This would suggest trying the following: as the factors. Check using FOIL. = The factors are:
 Travel_Word_Problems/26006: How do you solve this problem? Two planes leave the Dallas-Forth Worth airport at the same time. One travels east at 550mph, and the other travels west at 500 mph. Assuming no wind, how long will it take for the planes to be 2100 miles apart? 1 solutions Answer 13967 by Earlsdon(6287)   on 2006-01-30 18:04:11 (Show Source): You can put this solution on YOUR website!Use the distance formula: where: d = distance traveled, r = rate of travel (speed), and t = time of travel. For the east-bound plane: d1 = 550 mph(t) For the west-bound plane: d2 = 500 mph(t) But: d1 + d2 = 2100 miles, so: 550(t) + 500(t) = 2100 Solve for t. 1050(t) = 2100 Divide both sides by 1050 t = 2 hours.
 Exponents-negative-and-fractional/25992: If you have a negative number to the 0 power, is the answer positive or negative one? 1 solutions Answer 13964 by Earlsdon(6287)   on 2006-01-30 17:55:28 (Show Source): You can put this solution on YOUR website!Any number to the zero power is 1: Example; and But take note: and
 Graphs/26002: The problem is y = 1/2x + 1 and "x" is -4. How do we figure out what -y is on the graph? Please help!!!! Thank you. y = 1/2(-4) + 11 solutions Answer 13963 by Earlsdon(6287)   on 2006-01-30 17:48:37 (Show Source): You can put this solution on YOUR website!Well, you're almost there! Simplify.
 expressions/25993: I am trying to help my son with his pre algebra.....but it has been a long time...can you show me how to solve the following: 1/3(p+21)=1/6(p-9) thanks, Rick1 solutions Answer 13962 by Earlsdon(6287)   on 2006-01-30 17:43:27 (Show Source): You can put this solution on YOUR website!Solve: Multipy both sides of the equation by 3 to clear the 1/3 fraction Simplify. Multiply both sides by 2 to clear the 1/2 fraction. Simplify. Apply the distributive property to the left side. Subtract p from both sides. Subtract 42 from both sides.
 Linear-equations/25995: you have noticed that your car can travel 420 miles on a tank of gas. your car can hold 17.5 gallons in its tank. write an equation relating the number of miles driven and the numbers of gallons in the tank. this is what i think it is 420 miles= 1 tank of gas 17.5 gallons=1 tank of gas i get lost after this 1 solutions Answer 13961 by Earlsdon(6287)   on 2006-01-30 17:28:06 (Show Source): You can put this solution on YOUR website!You can let M = the number of miles driven. = 24 MPG
 Equations/25996: can you show me how to solve this equation to see if I did it right? thanks, Ben Age 11 -2p-6=12-4p1 solutions Answer 13960 by Earlsdon(6287)   on 2006-01-30 17:23:29 (Show Source): You can put this solution on YOUR website!Solve: Add 4p to both sides of the equation. Add 6 to both sides. Finally, divide both sides by 2.
 Quadratic_Equations/25938: Please help me find the vertex and intercepts for this quadratic function, and sketch its graph. y = -3x^2 + 6x1 solutions Answer 13951 by Earlsdon(6287)   on 2006-01-30 11:40:11 (Show Source): You can put this solution on YOUR website!Find the vertex and the x-intercepts of: The quadratic equation is in standard form: where: a = -3, b = 6, and c = 0 The x-coordinate of the vertex is given by: The y-coordinate of the vertex is found by substituting the x = 1 into the original equation and solving for y. The vertex is at (1, 3) The x-intercepts are found by setting y = 0 in the original equation and solving for the x-values. Factor an x Apply the zero products principle. and/or One of the x-intercepts is x = 0 The other one is found from: Subtract 6 from both sides. Divide both sides by -3. The x-intercepts are: x = 0 and x = 2 Here's the graph of the parabola: