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# Recent problems solved by 'Earlsdon'

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 Linear-systems/158341: The question is Solve the following system of equations using the substitution method. Check your answer. I'm not sure how to do substitution, so if you could tell me were everything is coming from it would be a great help.1 solutions Answer 116710 by Earlsdon(6287)   on 2008-09-22 11:48:01 (Show Source): You can put this solution on YOUR website!Solve by "substitution" means yo have to eliminate one of the variables (x or y) by substituting the other variable (y or x) into one of the two equations. It's easier to demonstrate the process: Substitute this for y in the 1st equation. Simplify and so;vefor x. Add 4x to both sides. Subtract 3 from both sides. Divide both sides by 4. Now substitute this into either equation and solve for y.
 Angles/158166: The ration of an angle to its supplement is 3:7. Find the ratio of the angle to its complement.1 solutions Answer 116542 by Earlsdon(6287)   on 2008-09-21 13:04:30 (Show Source): You can put this solution on YOUR website!Let the angle be A, then its supplement would be 180-A. The problem description states that the ratio of these two is 3:7, so... Cross multiply. Simplify. Add 3A to both sides. Divide both sides by 10. degrees. Now you are to show the ratio of the angle A to its complement. The complement of angle A is 90-A, so the ratio is: =
 Equations/158154: This question is from textbook x=1 y=3 x=2 y=9 x=3 y=27 x=4 y=81 find a formula relating x and y1 solutions Answer 116527 by Earlsdon(6287)   on 2008-09-21 10:43:21 (Show Source): You can put this solution on YOUR website!It looks like: ...= ...= ...= ...= This relationship can be expressed thus:
 Polynomials-and-rational-expressions/158104: Factor Completely 15+3y-5x^2-x^2y1 solutions Answer 116509 by Earlsdon(6287)   on 2008-09-20 23:33:49 (Show Source): You can put this solution on YOUR website!Factor completely: Factor by grouping: Factor 3 from the first group and from the second group. Now factor (5+y) from each term.
 Angles/158108: Okay, I don't want the answer, I just want to know how to set up the problem. Or maybe if you can just reword the problem, it would be easier because I can set up equations, it's just that the problem is confusing. Okay so this is what the problem states: The measure of the supplement of an angle exceeds three times the measure of the complement by 30. Find the measure of the supplement. I attempted this problem once but then it was too confusing so I just erased all of it. I just need help with understanding the problem. Thanks1 solutions Answer 116508 by Earlsdon(6287)   on 2008-09-20 23:26:35 (Show Source): You can put this solution on YOUR website!Let the angle be A, then its supplement would be 180-A and its complement would be 90-A. From the problem description... The supplement of A (180-A) is 30 degrees more than three times its complement (90-A), and this can be expressed as: 180-A = 3(90-A)+30 Simplify and solve for A. Once you have found A, you can then find its supplement, 180-A. Good luck!
 Expressions-with-variables/158078: Simplify/Factor: (a-2b)(a+3b)(b-a)-(4a+5b)(a-b)(a-2b) the answer is (b-a)(a-2b)(5a+8b) I can definitely see the familiarities in the answer and question but i really don't know how the book arrived at that answer.1 solutions Answer 116474 by Earlsdon(6287)   on 2008-09-20 18:44:15 (Show Source): You can put this solution on YOUR website!Try this! Factor the indicated factors from both terms. Now, so make the substitution in the second term. Factor the indicated factors from both terms and change the - to + Perfom the indicated addition.
 Coordinate-system/158077: Help is need to solve this problem as attempts have been made for days without success. Thank you for the assistance. ?) Consider the function f(x) = x^2 + 4x+ 1. Find the x-coordinate of the vertex of this parabola. Subsititue the two integers to the left and right of h into the function to find the corresponding y. Below is an attempt to solve this problem. x = (-b)/ 2a a=1 b=4 c=1 x = (-4)/(2*1) x = (-4)/2 x = -2 1 solutions Answer 116470 by Earlsdon(6287)   on 2008-09-20 18:12:09 (Show Source): You can put this solution on YOUR website!Well, there's nothing wrong with what you have dome so far! The value of h can be found if your equation is in the "vertex" form: . In this form, the vertex is located at (h, k), and since you already have the x-coordintate of the vertex (x = -2), then h = -2. The problem states that you are to substitute the two integers to left and right of h into the funtion to find the corresponding y. Since h = -2, then the two integers to the left of h would have to be -3 and -4 while the two integers to the right of h would have to be -1 and 0 So you substitute these integers, one-at-a-time into the function and solve for y. Let's start with x = -4: Now x = -3: You should be able to do the remaining ones yourself. If you still have trouble, please re-post.
 Linear-equations/158073: Can someone help me with this one. Determine whether the graphs of the equations are parallel lines, perpendicular lines or niether. 3x - 8y = -18 32x + 12y = -18 Thank you!1 solutions Answer 116466 by Earlsdon(6287)   on 2008-09-20 17:36:38 (Show Source): You can put this solution on YOUR website!To determine whether the graphs of the given equations are perpendicular lines, parallel lines, or neither, you need ony to compare their slopes. Perpendicular lines have negative reciprocal slopes. Parallel lines have equal slopes, and neither have neither! So, let's get the equations into their "slope-intercept" forms: y=mx+b. 1) Add 8y to both sides. Add 18 to both sides. Divide both sides by 8. The slope here is: 2) Subtract 2x from both sides. Divide both sides by 12. The slope here is: Comparing with , you can see that they are negative reciprocals and, therefore, their graphs of the equations will be perpendicular lines. For confirmation, we'll graph the two equations. Red = equation 1). Green = equation 2).
 Polynomials-and-rational-expressions/158076: 2c^2+10c-48= I don't understand can yo show me some examples? Thanks, Chance1 solutions Answer 116464 by Earlsdon(6287)   on 2008-09-20 17:10:41 (Show Source): You can put this solution on YOUR website!If you are tring to solve for c, then the equation must be equal to something! Is it equal to zero perchance? ? Let's say that it is. Solve by factoring. First, factor a 2 to simplify the equation a bit. so that: Factor this trinomial. Apply the zero product rule. or so that,,, or
 Equations/158074: 18x/x^2-5x-36 + 2x/x+4 I am not sure how to add rational equations. I was told to take the number that is largest and use it as the common denominator. Does the largest number have to have a variable with it? Please show me how to work this out. Thanks so much!1 solutions Answer 116462 by Earlsdon(6287)   on 2008-09-20 17:01:39 (Show Source): You can put this solution on YOUR website!Simplify: Did I get this right? If so, then factor the denominator of the first fraction. The common denominator is so multiply the second fraction by: to get: Perform the indicated addition. Simplify.
 Linear-equations/157985: This question is from textbook The left and right numbers of an open book are two consecutive integers who's sum is 469. Find these page #'s Next Question: The product of twice a number and three is the same as the difference of five times the number and 3/4. Find the number Next Question: To make an international telephone call you need the code for the country you are calling. The codes for Belgium, France, and Spain are three consecutive integers who's sum is 99. Find the code for each country. 1 solutions Answer 116383 by Earlsdon(6287)   on 2008-09-19 21:45:07 (Show Source): You can put this solution on YOUR website!1) Let the left page number be x, then the next consecutive right page number is x+1. You are told that the sum of these two numbers is 469, so you can write the equation: x+(x+1) = 469 2x+1 = 469 Subtract 1 from both sides. 2x = 468 Divide both sides by 2. x = 234 and (x+1) = 235 The page numbers are: 234 and 235 2) The product of twice a number and 3 ((2n)*3) is the same as (=) the difference of 5 times the number and 3/4 (5n-3/4). You can express this as: (2n)*3 = 5n-3/4 Simplify. 6n = 5n-3/4 Subtract 5n from both sides. n = -3/4 The number is -3/4 3) The sum of three consecutive integers is 99. This can be expressed as: x+(x+1)+(x+2) = 99 Simplify. 3x+3 = 99 Subtract 3 from both sides. 3x = 96 Divide both sides by 3. x = 32 The code for Belgium is 32. The code for France is 33. The code for Spain is 34
 Linear-systems/157696: 2.4k-15=3.9k+1 k=? question is from a handout at night college1 solutions Answer 116197 by Earlsdon(6287)   on 2008-09-18 10:56:53 (Show Source): You can put this solution on YOUR website!Solve for k: Subtract 2.4k from both sides. Subtract 1 from both sides. Divide both sides by -1.5 or
 Equations/157592: I keep working the problem and get a fraction as an answer. I get w= -17/2 -5/8(16w - 24) + 35 1 solutions Answer 116124 by Earlsdon(6287)   on 2008-09-17 19:17:57 (Show Source): You can put this solution on YOUR website!Simplify: Factor an 8 from the parentheses. Cancel the 8's leaving you with: Apply the distributive property...and don't forget the sign change -5(-3) = +15. Simplify. or
 absolute-value/157587: I need help solving an absolute problem for X: 5*absolute value of y+9 = 15 Sorry I wasn't sure how to type is absolute value sign..1 solutions Answer 116123 by Earlsdon(6287)   on 2008-09-17 19:09:48 (Show Source): You can put this solution on YOUR website!I don't see any X, do you mean solve for y? First, divide both sides by 5. Remove the absolute-value bars and write the two equations: or Now solve each of these. Subtract 9 from both sides. or Subtract 9 from both sides. In case you really did mean X, then just replace the y with X.
 Polygons/157554: How many sides does a polygon with an interior angle measure of 120 degrees have?1 solutions Answer 116120 by Earlsdon(6287)   on 2008-09-17 18:54:43 (Show Source): You can put this solution on YOUR website!I'm assuming that you mean a "regular" polygon! The measure of an interior angle, A, of a regular polygon of N sides is given by: Substitute A = 120 degrees. Multiply both sides by N. Subtract 120N from both sides. Add 360 to both sides. Finally, divide both sides by 60. The regular polygon has 6 equal sides and is called a hexagon.
 Money_Word_Problems/157563: a concrete slab requires between 10 and 12 yd cubed of concrete. if 2.5 yd cubed of concrete can be poured each hour, how long will it take to pour the slab?1 solutions Answer 116117 by Earlsdon(6287)   on 2008-09-17 18:44:09 (Show Source): You can put this solution on YOUR website!You need to know how many times can you get 2.5 cu.yds. out of 10 cu. yds. or out of 12 cu.yds. Divide 10 by 2.5 and So it wil take between 4 and 4.8 hours to pour the slab. That's between 4 hours and 4 hours, 48 minutes.
 Coordinate-system/157577: The steepness, or grade, of a road is expressed as a percent. If a road rises 3 feet for every 24 horizontal feet, what is the sope of the road? what percent grade is this? 1 solutions Answer 116115 by Earlsdon(6287)   on 2008-09-17 18:39:20 (Show Source): You can put this solution on YOUR website!Remember...slope = rise over run. Rise is 3 ft. and run is 24 ft, so slope = 3/24. Simplify to 1/8 and the decimal equaivalent is 0.125 which, changed to a percent = 12.5% The grade is 12.5%
 test/157433: The Robinson family went to dinner. the bill came out to be \$230 including a 17% tip. what was the total amount of \$ due excluding the tip price?1 solutions Answer 116021 by Earlsdon(6287)   on 2008-09-16 22:40:09 (Show Source): You can put this solution on YOUR website!Let x = the price witout tip. Change 17% to its decimal equivalent of 0.17, so... Combine like-terms. Divide both sides by 1.17 The total amount excluding tip is: \$196.58
 Inequalities/157418: x^2-9/x+1 less than equal to O I think you would factor out the top part which would be (x-3)(x+3)/x+1 from there I am completely lost. Thank you for any help!1 solutions Answer 116020 by Earlsdon(6287)   on 2008-09-16 22:33:34 (Show Source): You can put this solution on YOUR website!Solve for x: You're correct in factoring the numerator. Now multiply both sides by (x+1) because Finally: or so... or
 Equations/157411: I'm trying to solve the formula in terms of the given variable.I've been able to solve the rest, but on this one the variable is in the form of a fraction and I'm not sure what to do.The 3+b has a line under it and the e is on bottom, the 2 is under the f. This was not in a textbook, it's a worksheet. b+3/e=f/2 solving for e1 solutions Answer 116018 by Earlsdon(6287)   on 2008-09-16 22:22:22 (Show Source): You can put this solution on YOUR website!Solve for e: Multiply both sides by 2. Multiply both sides by e. Finally, divide both sides by f. or Simplify to:
 Rational-functions/157193: I dont understand what im supposed to do for this problem: without graphing, determine if the graphs of each pair of equations are parallel, perpendicular or neither. 2y=8x+4 and y=-1/4x1 solutions Answer 115871 by Earlsdon(6287)   on 2008-09-15 20:48:15 (Show Source): You can put this solution on YOUR website!You can do this without graphing by finding the slope of each equation. Remember the "slope-intercept" form? y = mx+b where m is the slope. Starting with the given equations, get them into the slope-intercept form so that you campare their slopes: First equation: To get y by itself, you divide both sides by 2. and you can see that the slope, . Second equation: as you can see, this is already in the slope-intercept form and the slope here is: Ok, we have the two slopes...now what? Well, we compare them! Why, because we know (or should know) that if two lines are parallel, their slopes are equal, and if two lines are perpendicular, their slopes are negative reciprocals. So what is the negative reciprocal of ? Why, it's just . So you can see that the slopes are negative reciprocals, therefore, the two lines are perpendicular!...and all this without graphing.
 Polynomials-and-rational-expressions/156948: Solve by factoring and using the principle of zero products. 18d^2 + 30d + 12 = 0 1 solutions Answer 115709 by Earlsdon(6287)   on 2008-09-14 19:38:20 (Show Source): You can put this solution on YOUR website!Solve for d: Factor. Apply the zero product rule: If a*b = 0, then either a = 0, or b = o, or both. or If then and If then and
 Polynomials-and-rational-expressions/156893: Please help me with these problems 1. x^2-6x-7 __________ x^2 - 1 2. x^2 -3x + 2/ 8x -8 divide x^2 -4/5x + 10 1 solutions Answer 115677 by Earlsdon(6287)   on 2008-09-14 16:26:18 (Show Source): You can put this solution on YOUR website!Simplify: 1. Factor the numerator and the denominator. Cancel the indicated factors to leave you with: ------------------- 2. divided by Invert the second fraction and multiply: Factor the numerators and the denominators. Cancel the indicated factors to leave you with:
 Equations/156894: Hello Did I do this correctly? 9(4-2)+6.2^2 ^ means there is a exponent or to next power ____________ 3(7-5) I got 18+24= 42 on the top I got 6 on the bottom 42/6=7 Thanks for any help1 solutions Answer 115669 by Earlsdon(6287)   on 2008-09-14 15:53:05 (Show Source): You can put this solution on YOUR website!Evaluate: = In you answer, you had ???
 Equations/156878: divide and reduce to lowest term. 2x^2-2/x^2+3x-4 divided by x^2+2x+1/x^4+x^31 solutions Answer 115666 by Earlsdon(6287)   on 2008-09-14 15:47:25 (Show Source): You can put this solution on YOUR website!Divide and reduce: by Invert the 2nd fraction and multiply. Factor the numerators and the denominators. Cancel the indicated factors. ...and this is far as you can go!
 Miscellaneous_Word_Problems/156868: 4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall . How long should the pieces of PVC plumbing pipe be? 1 solutions Answer 115662 by Earlsdon(6287)   on 2008-09-14 15:19:49 (Show Source): You can put this solution on YOUR website!If you think in terms of a right triangle, you can "see" that the height of the triangle represents the height of the tepee (h = 8ft) and the base of the triangle is half the distance across the base of the tepee (12ft), so this would be 6 ft. The PVC supports are represented by the hypotenuse of the right triangle, and we can call this c. So, invoking the Pythagorean theorem: where: a is the height (8ft), b is the base (6ft) and c is the length of the PVC support. Take the square root of both sides. or Discard the negative solution as length is a positive quabntity. The PVC supports are 10 feet long.
 Miscellaneous_Word_Problems/156875: If a ball is tossed in the air from a height of 6 feet with a velocity pf 32 feet per second, then its altitude at time t(seconds) can be described by the function A(t) = -16t2 + 32r + 6. Find the altitude of the ball at 2 seconds. 1 solutions Answer 115660 by Earlsdon(6287)   on 2008-09-14 15:07:07 (Show Source): You can put this solution on YOUR website!To find the altitude, A, when after two seconds (t=2), substitute t = 2 into the given equation and solve for the altitude, A. Substitute t =2. Simplify. The altitude at 2 seconds is 6 feet, so the ball is on the way down and, at 2 seconds, it is at the same altitude as when it was initially tossed.
 Graphs/156855: how do i graph the circle, x^2 + 4y^2 =11 solutions Answer 115646 by Earlsdon(6287)   on 2008-09-14 13:08:40 (Show Source): You can put this solution on YOUR website!You graph "circles" by plotting two graphs as follows: First, solve the given equation for y: Subtract x^2 from both sides. Now divide both sides by 4. Finally, take the square root of both sides. or Now when you graph these two functions, you'll see half the "circle" above the x-axis and the other half "circle" below the x-axis.
 Travel_Word_Problems/156854: a car is traveling at a speed of 55 miles per hour. you want to write an algebraic expression to show how far the car will travel in a certain number of hours. what will be your constant? your variable?1 solutions Answer 115640 by Earlsdon(6287)   on 2008-09-14 12:43:06 (Show Source): You can put this solution on YOUR website!Well, you can use the distance formula for this: d = rt where d = distance traveled, r = rate (speed) of travel, and t = the time used in traveling, so... d = 55t where t (time) is the variable and there is no constant or, to put it another way, the constant is zero.
 absolute-value/156821: -|+15|1 solutions Answer 115624 by Earlsdon(6287)   on 2008-09-14 10:07:08 (Show Source): You can put this solution on YOUR website!-|15| = -15
 Inequalities/156822: This question is from textbook Glencoe Algebra 2 . I tried to answer it by multiplying by the recipricals of the equation. When I did that, I got . Then I subtracted the 1 and got . After that,I subtracted 7 from both sides. When I did, I got as my answer. I don't know if that is right.1 solutions Answer 115623 by Earlsdon(6287)   on 2008-09-14 10:05:25 (Show Source): You can put this solution on YOUR website!Solve for x: Multiply both sides by 3. Mu;tiply both sides by 4. Simplify. Subtract 3x from both sides. or