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 Equations/153613: This question is from textbook algebra1 hi, my name is jay, and i am struggling with this question. the question is: if a pitcher throws a baseball 90 miles per hour, how many seconds does it take for the ball to reach home plate? here's what i've tried: time equals distance divided by speed i divide 60.5 feet by 90 mph, and i get .6722 seconds. Then i thought, can i really solve this equation this way? can i use feet in distance as the numerator and miles per hour in divisor. I'm not sure how to solve this. thank you so much for your time. Jay 1 solutions Answer 113070 by Earlsdon(6287)   on 2008-08-26 20:24:35 (Show Source): You can put this solution on YOUR website!Jay, you are right to question your answer! The answer is you must use consistent units. In other words, don't mix feet and miles or hours and seconds. Since your problem asks "...how many seconds..." you need to convert the speed from miles per hour to feet per second. You general approach is good! Use: Let's convert 90 mph to x ft/sec. As you know, there are 5,280 feet in one mile and there are 3600 seconds in one hour, multiply the 90 mph by 5,280 feet per mile and 1 hour by 3600 secs per hour to get: 90 mph = 132 ft/sec. So, seconds (approximately)
 Travel_Word_Problems/153602: The distance between Maggie's house and Rashmee's house is 1,600. If it takes Maggie 3 seconds to walk 10 feet, how long will it take her to walk to Rashmee's house? (please show steps!)1 solutions Answer 113060 by Earlsdon(6287)   on 2008-08-26 19:36:31 (Show Source): You can put this solution on YOUR website!You can use the distance formula: d = r*t where: d = distance (1600 feet in this problem), r = rate (speed, which is 10 ft/3 secs), and t is the time it takes to travel. Let's rearrange the formula for t: Now substitute the given numbers: Evaluate this. Seconds. Convert to minutes by dividing by 60 secs per minute. minutes.
 Travel_Word_Problems/153600: The elevator in the Washington Monument takes 75 seconds to travel 500 feet to the top floor. What is the speed of the elevator in miles per hour? Give your answer to two significant digits.1 solutions Answer 113057 by Earlsdon(6287)   on 2008-08-26 19:25:50 (Show Source): You can put this solution on YOUR website!You need to convert: 500ft per 75 secs into miles per hour. To convert ft/sec into mph, you would divide the number of feet by 5,280 feet/mile, and to convert seconds to hours, you would divide the number of seconds by 3,600 secs/hour. Let's see how this works: (500 ft)/(75 secs) = (500 ft/5280 ft per mile)over(75 secs/3600 secs per hour)= 4.54 miles per hour.
 Quadratic_Equations/153519: This question is from textbook Intermediate Algebra I need help with this equation. The problem is use factoring to solve the equation. x^2-19x+88=0 Thank you for your help.1 solutions Answer 113000 by Earlsdon(6287)   on 2008-08-26 12:03:42 (Show Source): You can put this solution on YOUR website!Solve for x by factoring: The factors will look like: where: and So, if you write some of the factors of 88 you get: 88 = 11*8 and (-11)+(-8) = -19, so... then... so that: or
 Quadratic_Equations/153520: This question is from textbook Intermediate Algebra I tried to use the sqrt property to solve the equation. The problem is x^2=9 Will you tell me if I did this correctly? x^2=9 x=+/-9 x=+/-3 x=3, x=3 Thanks for anyones help.1 solutions Answer 112999 by Earlsdon(6287)   on 2008-08-26 11:55:06 (Show Source): You can put this solution on YOUR website!You have done everything correctly, but your final line should read" ,
 Miscellaneous_Word_Problems/153505: use the properties of log. to evalueate the expression log.a cube root a^21 solutions Answer 112995 by Earlsdon(6287)   on 2008-08-26 10:29:18 (Show Source): You can put this solution on YOUR website!Evaluate: Rewrite this as: Apply the product rule for logs: Apply the power rule for logs: Perform the addition.
 Miscellaneous_Word_Problems/153504: Solve the exponential equation e^x+3=8: Express the solution as a natural logarithm.1 solutions Answer 112994 by Earlsdon(6287)   on 2008-08-26 10:10:55 (Show Source): You can put this solution on YOUR website!Solve for x: Subtract 3 from bth sides. Take the natural log of both sides. Apply the power rule for logs to the left side: Substitute
 Expressions-with-variables/153446: This question is from textbook algebra 1 need help please, the product of 2 and the second power of y, the answer came up with is y2 x 2. is that correct?1 solutions Answer 112934 by Earlsdon(6287)   on 2008-08-25 21:30:52 (Show Source): You can put this solution on YOUR website!Yes, that is correct! or
 Linear-equations/153428: I have a few questions like these in my college algebra book with no examples to help. 10-13/x=4+5/x and x/(x+4) + 4/(x+4) + 2= 01 solutions Answer 112932 by Earlsdon(6287)   on 2008-08-25 21:14:06 (Show Source): You can put this solution on YOUR website!Solve for x: Multiply both sides by x. Subtract 4x from both sides. Add 13 to both sides. Finally, divide both sides by 6. --------------- Multiply through by (x+4) Expand the last term. Combine like-terms. Subtact 12 from both sides. Finally, divide both sides by 3. The only problem with this solution is that it is x = -4 is an excluded value. Why? Because, when you substitute x = -4 into the original equation, the first two terms are undefined: As you can see, the first two terms are undefined because division by zero is not defined.
 Numeric_Fractions/153411: You went trout fishing and caught 6 trout fish. The lengths are 8 5/8, 10 1/2, 9 1/4, 8 3/4, 10 2/3 and 9 5/6. What is the average length of the trout you caught? Please explain. I get 1383/144 or 9 87/144 but this is wrong, what am I doing wrong? 1 solutions Answer 112921 by Earlsdon(6287)   on 2008-08-25 19:34:04 (Show Source): You can put this solution on YOUR website!As you know, to find the average or mean of a set of numbers, you add the numbers then divide the sum by the number of numbers (6 in this case) you have added up. With fractions/mixed numbers, such as you have here, of course, there is a little more work to do because you must first convert the mixed numbers to improper fractions then find the least common denominator (LCD) before you can add them all together. Here we go! Convert the mixed numbers to improper fractions: 8 5/8 = 69/8 10 1/2 = 21/2 9 1/4 = 37/4 8 3/4 = 35/4 10 2/3 = 32/3 9 5/6 = 59/6 Notice that denominators will all divide into 24, so this is our LCD, so now we must convert each improper fraction to 24ths. Adding the right sides, we get: ------------------- Now divide the numerator by 6 (or multiply by ), the number of trout. Reduce this improper fraction to... 9 87/144 = which is precisely the answer that you got! Why do think that your answer is wrong?
 Polynomials-and-rational-expressions/153407: This question is from textbook Algebra I I can't figure out how to do this problem. How do I show my work on this equation: 40/a - 4 = 0 I know the answer is 10, it's obvious, but I dont know how to get that answer. Please help me!1 solutions Answer 112913 by Earlsdon(6287)   on 2008-08-25 18:48:46 (Show Source): You can put this solution on YOUR website!Your answer is correct! Here's how you would get it: First, add 4 to both sides. Next, multiply both sides by a. Finally, divide both sides by 4. so...
 Systems-of-equations/153400: How do you simplify the equation -w=14?1 solutions Answer 112911 by Earlsdon(6287)   on 2008-08-25 18:45:04 (Show Source): You can put this solution on YOUR website!Simplify: Multiply both sides by -1
 Finance/153403: whats the total cost of buying several shirts at \$24.95 each?1 solutions Answer 112910 by Earlsdon(6287)   on 2008-08-25 18:43:28 (Show Source): You can put this solution on YOUR website!That's easy, it's: Total cost = (several)*(\$24.95) Now, if you only knew how many several was, you could get a more definitive answer!
 Linear-equations/153402: Solve for x: 4x = 3xy-2 Im not sure if I divide both sides by 3x (including the "-2") or if I divide both sides by x.1 solutions Answer 112909 by Earlsdon(6287)   on 2008-08-25 18:40:13 (Show Source): You can put this solution on YOUR website!Solve for x: First, subtract 3xy from both sides to get the x's on one side of the equation. Now factor the x from the left side. Finally, divide both sides by (4-3y)
 Angles/153393: How many sides does a regular polygon have if its interior angle measures 120 degrees?1 solutions Answer 112908 by Earlsdon(6287)   on 2008-08-25 18:16:54 (Show Source): You can put this solution on YOUR website!The measure of an interior angle of a regular polygon of n sides is given by: In this problem, the interior angle is 120 degrees, so... Simplify and solve for n. Multiply both sides by n. Expand the left side. Subtract 120n from both sides. Now add 360 to both sides. Finally, divide both sides by 60. The regular polygon has 6 sides, and this is called a hexagon.
 Expressions-with-variables/153371: I took algebra last year and my geometry teacher just gave us a review on the first day. she did not go over the problems and i am confused on how to do these types of problems. can you tell me if i am doing this correctly? if not will you show me what is wrong? the / represents the fraction bar, not division. x /(x-3) = (x+1) / (x-4) x-x-3 = x-x+1+4 -3 = 51 solutions Answer 112895 by Earlsdon(6287)   on 2008-08-25 16:50:45 (Show Source): You can put this solution on YOUR website!Solve for x: Multiply both sides by both (x-3) and (x-4) Now expand both sides of the equation. Now subtract from both sides. Add 4x to both sides. Add 3 to both sdes. Finally, divide both sides by 2.
 Expressions-with-variables/153367: Please help me solve the following problem: Simplify 1 solutions Answer 112894 by Earlsdon(6287)   on 2008-08-25 16:34:23 (Show Source): You can put this solution on YOUR website!Simplify: You can rewrite this as: Now, multiply the integers. When multiplying factors with the same base (that's x here), you add their exponents.
 Expressions-with-variables/153368: Please help me solve the following problem: Rewrite the expression using positive exponents. 1 solutions Answer 112892 by Earlsdon(6287)   on 2008-08-25 16:29:03 (Show Source): You can put this solution on YOUR website!Rewrite, using positive exponents: First, anything to the zero power is equal to 1 , so , so now you have: You can remove the inner parentheses as they are not needed. To raise an exponent to a power, you multiply the exponents.
 Quadratic_Equations/153351: This question is from textbook Intermediate Algebra Hello, I am in deep need of help. I am suppose to use the sqrt property to solve equation. (a-2)^2=8 Thanks for anyone that can help.1 solutions Answer 112875 by Earlsdon(6287)   on 2008-08-25 12:58:57 (Show Source): You can put this solution on YOUR website!Solve for a, by applying the square root property: Take the square root of both sides of the equation: add 2 to both sides: Simplify the right side. or
 Polynomials-and-rational-expressions/153341: -20-3x+3x^2=0 I know that the trinomial cannot be factored, but is there another way to solve the equation?1 solutions Answer 112874 by Earlsdon(6287)   on 2008-08-25 12:54:44 (Show Source): You can put this solution on YOUR website!Yes there is! Quadratic equations can always be solved by 1) completing the square: and 2) using the quadratic formula. Solve for x: Rearrange this so that it is in standard form: Apply the quadratic formula: The a, b, and c come from the general form of the quadratic equation: , so in this case, a = 3, b = -3, and c = -20. Making the appropriate substitutions, we get: Simplifying this, we get: or These are the exact solutions. For the approximate numeric solutions, take the square roots where indicated: or or
 Polynomials-and-rational-expressions/153338: 2x^2y-4xy-30y1 solutions Answer 112867 by Earlsdon(6287)   on 2008-08-25 12:03:13 (Show Source): You can put this solution on YOUR website!Simplify??? First, factor 2y since this is a factor in each term. Now factor the trinomial.
 test/153328: This question is from textbook Algebra 1 An Incremental Development Simplify: 3√32 - 5√50 - 8√45 + 7√201 solutions Answer 112863 by Earlsdon(6287)   on 2008-08-25 11:56:27 (Show Source): You can put this solution on YOUR website!Simplify: Factor the numbers under the radicals (the radicands). Notice that one of the factors under each radical is a perfect square. So you can take the square root of these and move the result outside of the radical. Now perfom the indicated multiplication. Finally, combine like-terms. ...and there you have it!
 Numbers_Word_Problems/153331: This question is from textbook Arnold has made 69 lace handkerchiefs. 2/3 of them are blue, and the rest are white. How many are blue?1 solutions Answer 112857 by Earlsdon(6287)   on 2008-08-25 11:33:19 (Show Source): You can put this solution on YOUR website!You need to find 2/3 of 69 Cancel the 3's as indicated. 46 of the handkerchiefs are blue.
 Trigonometry-basics/153272: This is what my paper says... Find each angle measure to the nearest degree. 1) tan A=2.05031 solutions Answer 112803 by Earlsdon(6287)   on 2008-08-24 21:54:50 (Show Source): You can put this solution on YOUR website!If tan(A) = 2.0503, find the measure of angle A.If you know the tangent of an angle (A), you can find the angle (A) by taking the arctan of 2.0503 using your calculator. arctan(2.0503) = 64 degrees.
 Exponential-and-logarithmic-functions/153245: (6xy^2)(-8x+9y)1 solutions Answer 112779 by Earlsdon(6287)   on 2008-08-24 18:42:46 (Show Source): You can put this solution on YOUR website!Multiply:
 Equations/153243: HELP!!! Solve the equation algebraically by factoring or using quadratic formula; x squared - 2x -3 = 0 very confused!!!!!1 solutions Answer 112778 by Earlsdon(6287)   on 2008-08-24 18:40:23 (Show Source): You can put this solution on YOUR website!Solve for x: Factor the trinomial. Apply the zero product rule. or or
 Surface-area/153186: I need to calculate the number of roses necessary to cover an 8" globe. The roses would average 2" in width.1 solutions Answer 112709 by Earlsdon(6287)   on 2008-08-24 11:23:22 (Show Source): You can put this solution on YOUR website!By "8-inch globe", I assume that you mean the diameter of the globe (sphere) is 8 inche!? And by the roses' average width of 2" I assume that the diameter of the rose averages 2 inches! So, let's find the surface area of the 8" globe (sphere). The surface area of a sphere is given by: ...and the area of a rose, which approximates a circle, is given by: or = So, for the 8" globe, we have: sq.in....and for the roses, we have: sq.in. Now you want to know many times will the area of the rose (sq.in.) go into the area of the globe (sq.in.)? So we divide the globe area by the rose area. You would need about 64 2"-roses to cover the surface of an 8"-globe.
 expressions/153179: I would want to know step by step of how to simplfy ecuation and to reduce the expresion? 1 4(2x-1)-6(x+3) 2 6a-2a+5=17 3 4(8-3w)=32-8(w+2)1 solutions Answer 112708 by Earlsdon(6287)   on 2008-08-24 11:02:51 (Show Source): You can put this solution on YOUR website!Ok, the first one is not an ecuation(sic) but an expression. 1) 4(2x-1)-6(x+3) First, apply the distributive property to both terms to get: (8x-4)-(6x+18) Now remove the parentheses and don't foget to change the sign (+ to -) in the second group. 8x-4-6x-18 Combine like terms. (8x-6x)+(-4-18) 2x+(-22) = 2x-22 or 2(x-11) ------------------------------------------ 2) 6a-2a+5 = 17 Now this is an equation! Combine the a's on the left side. 4a+5 = 17 Now subtract 5 from both sides. 4a = 12 Finally, divide both sides by 4. a = 3 -------------------------------------------- 3) 4(8-3w) = 32-8(w+2) Apply the distributive property, where appropriate. (32-12w) = 32-(8w+16) Remove the parentheses and remember the sign-change (+ to -) in the right-most set of parentheses. 32-12w = 32-8w-16 Now combine like-terms. 32-12w = 16-8w Add 12 w to both sides. 32 = 16+4w Subtract 16 from both sides. 16 = 4w Finally, divide both sides by 4. 4 = w or w = 4
 Expressions-with-variables/153183: N cubed - 27 ------------ N - 31 solutions Answer 112701 by Earlsdon(6287)   on 2008-08-24 10:41:20 (Show Source): You can put this solution on YOUR website!Simplify??? Factor the difference-of-cubes binomial in the numerator. Cancel the indicated factors. ...and this is not factorable.
 logarithm/153152: Please help. Anyone? Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. ln1 solutions Answer 112698 by Earlsdon(6287)   on 2008-08-24 10:29:01 (Show Source): You can put this solution on YOUR website!Write as the sum/difference of logs: It's not clear from your post whether it's or I.ll assume =
 logarithm/153136: If log 2 » 0.301 and log 3 » 0.477, then log 6 »1 solutions Answer 112641 by Earlsdon(6287)   on 2008-08-23 20:01:09 (Show Source): You can put this solution on YOUR website!Try this: Log(6) = Log(2*3) = Log(2)+log(3) = 0.301+-.477 = 0.778