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# Recent problems solved by 'Earlsdon'

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 real-numbers/68217: This question is from textbook Glencoe Algebra Concepts and Applications I understand what to do when the signs are the same in this problem but what do I do if they differ? 89.3+(-14.4)1 solutions Answer 48512 by Earlsdon(6291)   on 2007-01-27 13:12:57 (Show Source): You can put this solution on YOUR website!Remember...adding a negative quantity is really subtracting the quantity. 89.3+(-14.4) = 89.3-14.4 = 74.9
 Polynomials-and-rational-expressions/68215: Please help me simplify this equation: 1 solutions Answer 48511 by Earlsdon(6291)   on 2007-01-27 13:06:38 (Show Source): You can put this solution on YOUR website!Simplify the "expression": This appears more formidable than it really is! Remember that to divide fractions..."Copy - Flip - Flip" Now, in the second parentheses, factor the numerator. Rewrite this as: Now cancel factors where appropriate. Simplify the numerator. = 1
 Functions/68123: Given f(x) = 5x^2 - 3x + 1, find f(-2). a)-13 b)15 c)-25 d)27 I have tried to work this problem and just can't seem to find the f(-2) can someone please help with this. Thanks1 solutions Answer 48432 by Earlsdon(6291)   on 2007-01-26 17:03:09 (Show Source): You can put this solution on YOUR website!If find Just substitute -2 for x and solve. Simplify.
 Distributive-associative-commutative-properties/68096: my question says: below are some trinomials for you to factor. 5x to the second + 35x + 60= PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1 solutions Answer 48383 by Earlsdon(6291)   on 2007-01-25 22:04:09 (Show Source): You can put this solution on YOUR website!Try this: Factor: The first term has the factors: (5x) and x The last term can be factored as: 3X20 among others, try: =
 Linear-equations/68090: I am helping my 13 year old with his homework. Please tell me what slope is and how it is measured in general. We are using an Egyptian pyramid as a model. Thank you !1 solutions Answer 48382 by Earlsdon(6291)   on 2007-01-25 21:47:35 (Show Source): You can put this solution on YOUR website!Well, slope is defined as..."Rise over Run" which means that slope is a ratio (fraction, if you like) of the amount of rise divided by the distance from the base of the vertical height. For example, if the pyramid's height is 250 meters (not sure if this is a realistic number) and the distance from the base of the verical line up through the center of the pyramid (this is called the height) is 200 meters, then the slope would be: Rise/Run = 250m/200m = 5/4
 Polynomials-and-rational-expressions/68070: This question is from textbook Algebra Structure and Method please factor as a difference of squares: m^2-n^2-2m+1 1 solutions Answer 48369 by Earlsdon(6291)   on 2007-01-25 21:02:38 (Show Source): You can put this solution on YOUR website!Factor as the difference of two squares: Rearrange this as follows: Factor the parentheses. Done!
 Quadratic_Equations/68069: I have asked this question within the past two days without a response. I am having a tough time figuring out how to set this problem up. Once I know how to set it up and why, I can probably solve the equation. I hope someone out there can help me with this one, please. Find two consecutive positive integers such that the sum of their squares is 85. [You must use algebra to solve this, setting up an equation with a variable, and using algebra to solve for the variable.]1 solutions Answer 48368 by Earlsdon(6291)   on 2007-01-25 20:55:02 (Show Source): You can put this solution on YOUR website!Let x be the first positive integer. The next consecutive positive integer would then be x+1. The sum of the squares of these is 85. Simplify and solve for x. Simplify. Subtract 85 from both sides. Divide through by 2. Factor. Apply the zero product principle. and/or So, x = -7 and x = 6 Discard the negative value as the problem requires positive integers. The two integers are: 6 and 7 Check: =
 Rectangles/68061: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.1 solutions Answer 48367 by Earlsdon(6291)   on 2007-01-25 20:50:22 (Show Source): You can put this solution on YOUR website!Let l = the length and W = the width of the rectangle. From the problem description, you can write: The perimeter, P, of a rectangle is given by: Substitute the L from above and P = 52 and solve for W. Subtract 4 from both sides. Divide both sides by 6. The width is 8 cm The length is 18 cm Check:
 Proportions/68051: How do I: "Write a proportion and solve" --What percent of 80 is 42? I came up with 52.5% I wrote this down The teacher circled "write a proportion," and marked it wrong. I did not show my work. Sammy1 solutions Answer 48365 by Earlsdon(6291)   on 2007-01-25 20:40:05 (Show Source): You can put this solution on YOUR website!You can write the proportion as follows: x percent can be written as and this would be set equal to Solve for x. Multiply both sides by 100. Simplify. The answer, as you have noted, is: 42 is 52.5% of 80
 Square-cubic-other-roots/67962: Simplify: sqrt 20 1 -------- - ------- 5 sqrt 5 I have a few answers to choose from and this problem has lost me. Here are the answers: A) 1/5 sqrt 5 B) Cannot be simplified C) sqrt 20 - sqrt 5 ----------------- 5 D) sqrt 20 - 5 sqrt 5 ----------------- sqrt 5 Thank you for your help!1 solutions Answer 48325 by Earlsdon(6291)   on 2007-01-25 00:35:51 (Show Source): You can put this solution on YOUR website!Simplify: Simplify. or
 Square-cubic-other-roots/67965: Simplify: SQRT 500 I believe the answer is 250, is this correct? Thank you1 solutions Answer 48322 by Earlsdon(6291)   on 2007-01-25 00:27:39 (Show Source): You can put this solution on YOUR website!Sorry! Simplify: =
 Square-cubic-other-roots/67968: Find the distance between (-3, -2) and (1, 4) A) sqrt 10 B) 27 C) 2 sqrt 5 D) 2 sqrt 13 Can anyone help me understand this problem? Thank you so very much!!1 solutions Answer 48321 by Earlsdon(6291)   on 2007-01-25 00:24:40 (Show Source): You can put this solution on YOUR website!You can use the distance formula: which is derived from the Pythagorean theorem. (x1, y1) = (-3, -2) and (x2, y2) = (1, 4) Making the appropriate substitutions:
 Square-cubic-other-roots/67900: i need help solving for a a^2+4a=451 solutions Answer 48277 by Earlsdon(6291)   on 2007-01-24 16:49:47 (Show Source): You can put this solution on YOUR website!Solve for a: Subtract 45 from both sides. Solve this quadratic equation by factoring: Apply the zero product principle. and/or If then If then The solutions: a = 5 a = -9
 Mixture_Word_Problems/67898: This question is from textbook How many gallons of a 5% acid solution must be mixed with 5 gal of a 10% solution to obtain a 7% solution?1 solutions Answer 48276 by Earlsdon(6291)   on 2007-01-24 16:44:13 (Show Source): You can put this solution on YOUR website!Let x = the required number of gallons of 5% acid solution. You can write the equation from the problem description but first convert the percentages to their decimal equivalents. 5% of x + 10% of 5 = 7% of (x+5) 0.05(x) + 0.1(5) = 0.07(x+5) Simplify and solve for x. 0.05x + 0.5 = 0.35 + 0.07x Subtract 0.05x from both sides. 0.5 = 0.35+0.02x Subtract 0.35 from both sides. 0.15 = 0.02x Finally, divide both sides by 0.02 x = 7.5 You will need to add 7.5 gallons of 5% acid solution to 5 gallons of 10% acid solution to obtain 12.5 gallons of 7% acid solution.
 Linear_Equations_And_Systems_Word_Problems/67820: my problem is: Luke has \$5.00 more than Sam, together they have \$73.00. How much does each have. Explain the equation. I know the answer is \$34.00 and \$39.00, but i don't know how to write it out. Thank you1 solutions Answer 48218 by Earlsdon(6291)   on 2007-01-23 21:47:39 (Show Source): You can put this solution on YOUR website!Try this! Let L = the amount that Luke has and S = the amount that Sam has. From the problem description, you can write: L = S+\$5 and L+S = \$73 Substitute here the L from above and solve for S. (S+\$5) + S = \$73 Simplify. 2S+\$5 = \$73 Subtract \$5 from both sides. 2S = \$68 Divide both sides by 2. S = \$34 L = S+\$5 L = \$39
 Equations/67814: I am trying to solve and check can you help me where I am wrong. 5x+8+3x-x+5=6x-3 7x+13=6x-3 3x 3x 10x+13=9x-3 3 3 10x+16=9x -9x -9x x+16=0 -16 -16 x=-16 check 5x+8+3x-x+5=6x-3 -80+8-48+16+5=-96-3 -99=-99 1 solutions Answer 48214 by Earlsdon(6291)   on 2007-01-23 21:40:49 (Show Source): You can put this solution on YOUR website!Solve for x: Simplify. Subtract 6x from both sides. Subtract 13 from both sides. Check: Simplify. Check!
 Coordinate-system/67743: Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4). I am at total loss. 1 solutions Answer 48186 by Earlsdon(6291)   on 2007-01-23 17:38:42 (Show Source): You can put this solution on YOUR website!Well, first you must find the slope of the line that contains the two given points. You can use the slope formula: where: (x1, y1) = (0, 5) and (x2, y2) = (-3, -4) Simplify. Now, you'll recall that perpendicular lines have slopes that are the negative reciprocal of each other. The negative reciprocal of 3 is So the answer is.: the slope is
 Quadratic_Equations/67738: I have a square field with an area x + 12 by x + 12. A section of it has been removed, and that area is x + 1 by x + 7. The area of the square minus the missing section is 217. The equation is (x + 12)^2 - (x + 1)(x + 7) = 217. I tried using the distributive property to get x^2 + 24x + 144 - x^2 + 8x + 7 = 217. Then I get stuck. If I combine x^2 and -x^2, I no longer have a quadratic equation, (which is the section we're studying). What should I do? Thanks for your help. GJL 1 solutions Answer 48185 by Earlsdon(6291)   on 2007-01-23 17:18:40 (Show Source): You can put this solution on YOUR website!If the problem is to solve for x, which this appears to be, then you are proceeding correctly, except for the results of applying the distributive property. I shouldn't be too concerned with not having a quadratic equation in the final stages. Solve for x. Simplify the left side. Continue simplifying. Subtract 137 from both sides. Finally, divide both sides by 16. As you can see, the 's drop out so you no longer have a quadratic equation but you can still solve for x.
 Exponents/67736: How can I slove the equation 3x2-8=1001 solutions Answer 48182 by Earlsdon(6291)   on 2007-01-23 17:03:02 (Show Source): You can put this solution on YOUR website!Solve for x: Add 8 to both sides of the equation. Now divide both sides by 3. Finally, take the square root of both sides. and