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Evaluation_Word_Problems/451519: Becky has 20 coins; some are quarters and the rest are dimes. The total vaue of the coins is $3.65. Find the number of each kind of coin. 1 solutions Answer 310472 by solver91311(16885)   on 2011-05-19 00:01:33 (Show Source): You can put this solution on YOUR website! Let represent the number of quarters. Then must be the number of dimes. The value of the quarters is cents, and the value of the dimes is , and the sum of these two values must be the total amount of money, $3.65, which is to say 365 cents so as to express everything in the same units. Just solve for John My calculator said it, I believe it, that settles it

Proportions/451525: solve this math problem by using quadratic equation : 2x^2-12x+3=0 1 solutions Answer 310470 by solver91311(16885)   on 2011-05-18 23:55:52 (Show Source): You can put this solution on YOUR website! Do your own arithmetic. John My calculator said it, I believe it, that settles it

Exponential-and-logarithmic-functions/451518: Evaluate the following function at the indicated values. Round to the nearest ten-thousandth. f(x) = e2x (a) f(-4) = (b) f(-1/3) = (c) f(4) = 1 solutions Answer 310469 by solver91311(16885)   on 2011-05-18 23:52:25 (Show Source): You can put this solution on YOUR website! Just take the value given and replace x, then do the indicated arithmetic on your calculator. John My calculator said it, I believe it, that settles it

Triangles/451205: I have a picture of a triangle and my instructions are : find the length of the unknown side of each triangle, give the exact length and a one decimal place approximation. my one side is 5 then square root of 3 beside it, and another side is 10 cm. How do i do this? 1 solutions Answer 310290 by solver91311(16885)   on 2011-05-18 13:58:32 (Show Source): You can put this solution on YOUR website! It depends on whether it is a right triangle or not. If not, then I can't help you because you haven't provided enough information. If it is, then you can do this one of two ways. First - use the Pythagorean Theorem: Where is the measure of the hypotenuse. Or you can recognize a 30-60-90 right triangle where if the shortest side is , the longest side is , and the remaining side is . Hence, where then John My calculator said it, I believe it, that settles it

test/451209: What percent is 2 out of 10 1 solutions Answer 310287 by solver91311(16885)   on 2011-05-18 13:48:26 (Show Source): You can put this solution on YOUR website! Divide 2 by 10. Multiply the result by 100. John My calculator said it, I believe it, that settles it

Graphs/451126: Which of the following is not a step used when graphing the equation y=-1/4-5 using the slope-intercept method? 1 solutions Answer 310284 by solver91311(16885)   on 2011-05-18 13:47:37 (Show Source): You can put this solution on YOUR website! Which of what following? This is algebra.com, NOT the Psychic Hot Line. John My calculator said it, I believe it, that settles it

Triangles/451034: one leg of a triangle is 2 more than twice the other. The hypotenuse is 13 meters. Find the lengths of the two legs. 1 solutions Answer 310163 by solver91311(16885)   on 2011-05-18 00:31:58 (Show Source): You can put this solution on YOUR website! 5, 12, 13 -- a Pythagorean Triple.

Parallelograms/451027: how do u find the value of h in a parallelogram 1 solutions Answer 310153 by solver91311(16885)   on 2011-05-18 00:03:42 (Show Source): You can put this solution on YOUR website! It depends upon what you know about the parallelogram. Share a problem and perhaps someone can help. Also, in the future, have the courtesy and respect for us to write your question in Standard English. Using "u" when you mean "you" is disrespectful. John My calculator said it, I believe it, that settles it

Average/451024: The average score of the six tests was 82. The five scores were 91,87,78,86, and 72. What was the score of the sixth test? 1 solutions Answer 310150 by solver91311(16885)   on 2011-05-17 23:58:44 (Show Source): You can put this solution on YOUR website! Think about how you get the average. You added up the 6 scores and divided the total by 6. That means that the total of the 6 scores is 82 times 6. If you add the 5 scores you know, you can subtract that total from the product 82 times 6 and the difference has to be the unknown score. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/451029: three times the difference of a number and six is one more than the number 1 solutions Answer 310149 by solver91311(16885)   on 2011-05-17 23:55:31 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

test/450889: Simplify e^ln(5x) 1 solutions Answer 310068 by solver91311(16885)   on 2011-05-17 20:06:22 (Show Source): You can put this solution on YOUR website! 5x

Rectangles/450851: FIND THE AREA IF A RECTANGLE.. X PLUS 5 AND X PLUS 3 AND HOW YOU DO THIS ? THANK YOU 1 solutions Answer 310067 by solver91311(16885)   on 2011-05-17 20:05:32 (Show Source): You can put this solution on YOUR website! The very first thing you have to do is to stop typing in all caps. It is the equivalent of shouting and is therefore annoying and rude. The area of a rectangle is the length times the width, so presuming you meant that represents the measure of the length and that represents the measure of the width, just multiply the two expressions. Use FOIL. John My calculator said it, I believe it, that settles it

test/450877: John went jogging for 120 minutes. He averaged a speed of 4.5 mph. How long would the same jog take him if he ran at a speed of 5 mph 1 solutions Answer 310058 by solver91311(16885)   on 2011-05-17 19:43:10 (Show Source): You can put this solution on YOUR website! If someone does something for 120 minutes, they are also doing it for 2 hours. If he jogs for 2 hours at 4.5 mph, he must have traveled 9 miles. If he goes 9 miles at 5 mph, then it takes him 9/5 hours, or 1.8 hours. 1.8 hours times 60 minutes is your answer in minutes. John My calculator said it, I believe it, that settles it

Equations/450874: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -1,3+i f(x)= 1 solutions Answer 310052 by solver91311(16885)   on 2011-05-17 19:32:49 (Show Source): You can put this solution on YOUR website! First your real number zero of -1 means: Hence: Therefore is a factor of your polynomial. Also, by the same logic is also a factor of your desired polynomial Then, since complex roots always come in conjugate pairs, meaning that if is a root of your equation, then is also a root of your equation, we can write: is also a factor of your desired polynomial. Now all you have to do is multiply the three factors: to find the desired polynomial. Hints: Remember that the product of two conjugates is the difference of two squares and that John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/450870: Ok so this problem is about factoring..... Wat is x^2 - 12x +36 factored 1 solutions Answer 310049 by solver91311(16885)   on 2011-05-17 19:22:57 (Show Source): You can put this solution on YOUR website! Hint: and John My calculator said it, I believe it, that settles it

Coordinate-system/450858: Why is the line x=4 a vertical line? 1 solutions Answer 310048 by solver91311(16885)   on 2011-05-17 19:20:45 (Show Source): You can put this solution on YOUR website! Consider the equation as a description of a set of ordered pairs. means give me the set of all ordered pairs that have an -coordinate equal to 4, and, oh by the way, I don't care what the -coordinate is. The set of ordered pairs where is a vertical line that passes through the point (4,0). John My calculator said it, I believe it, that settles it

Probability-and-statistics/450863: What is the answer to 6P2? 1 solutions Answer 310047 by solver91311(16885)   on 2011-05-17 19:17:07 (Show Source): You can put this solution on YOUR website! Do your own arithmetic. John My calculator said it, I believe it, that settles it

Radicals/450866: If you are adding or subtracting radicals how do you do this if you have a fractional radicand? (sqrt)2 + (sqrt)1/2 1 solutions Answer 310046 by solver91311(16885)   on 2011-05-17 19:14:53 (Show Source): You can put this solution on YOUR website! Rationalize the denominator for the fractional radicand, use the now rational denominator as the LCD, and then add the two terms directly. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/450846: How do you set up the problem: A 24 foot board is cut into 2 pieces. One piece is 24 less than double the other piece. How many feet long is the bigger piece? 1 solutions Answer 310045 by solver91311(16885)   on 2011-05-17 19:12:53 (Show Source): You can put this solution on YOUR website! Presuming that "One piece is 24 less than double the other piece" ACTUALLY means "One piece is 24 INCHES less than double the other piece" proceed as follows: Remembering that 24 inches is actually 2 feet, let represent the measure in feet of one of the pieces and then is the measure, in feet, of the other piece. Then: Solve for and then calculate . John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/450847: Find two consecutive odd integers such that the sum of their squares is 74. 1 solutions Answer 310042 by solver91311(16885)   on 2011-05-17 18:50:26 (Show Source): You can put this solution on YOUR website! Let represent the first odd integer. Then the second odd integer is . The first one squared is: The second one squared is: The sum is: And the sum is equal to 74, so: Divide by 2: Factor and solve the quadratic. John My calculator said it, I believe it, that settles it

Quadratic-relations-and-conic-sections/450840: what shape is given by the equation 2x^2+y^2-5=0 1 solutions Answer 310040 by solver91311(16885)   on 2011-05-17 18:44:34 (Show Source): You can put this solution on YOUR website! 2nd degree equation, so it is a conic. Contains both x-squared and y-squared terms, so NOT a parabola Signs on the x-squared and y-squared terms are the same, so NOT a hyperbola Coefficients on the x-squared and y-squared terms are different, so NOT a circle Only thing left is an ellipse. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/450827: A cowboy was asked how many cows were on the ranch. He replied that he was unsure, but he knew that when he counted them by twos, threes, fours, fives or sixes he always had one left over. The only way he could avoid this was to count by sevens; he then had non left over. What is the smallest number of cows on the ranch? 1 solutions Answer 310038 by solver91311(16885)   on 2011-05-17 18:37:42 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Polygons/450805: True or false: There exists a polygon such that the sum of the measures of the interior angles is 180. 1 solutions Answer 310033 by solver91311(16885)   on 2011-05-17 18:15:13 (Show Source): You can put this solution on YOUR website! What is the sum of the measures of the interior angles of a triangle? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/450629: Please explain? Give an example of a rational equation for which there is an actual solution and an extraneous solution if you solve the equation using cross products. 1 solutions Answer 310022 by solver91311(16885)   on 2011-05-17 16:32:58 (Show Source): You can put this solution on YOUR website! Cross-multiply: or Exclude because that makes the original RHS undefined. John My calculator said it, I believe it, that settles it

Inequalities/450632: What is 2x - 3 over 5 < 7? Thanks. 1 solutions Answer 309960 by solver91311(16885)   on 2011-05-17 12:46:27 (Show Source): You can put this solution on YOUR website! Is a linear inequality. John My calculator said it, I believe it, that settles it

Probability-and-statistics/450293: How to do this problem Willard has just been given a ten question multiple choice test in one of his classes. each question has five answers only one of which is correct. Since willard has not attended class recently, he does not know any of the answers. assume that willard guesses randomly on all ten questions. Find the probability that he will answer at most 3 questions correctly. 1 solutions Answer 309749 by solver91311(16885)   on 2011-05-16 19:06:18 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by + You need the probability that he will score 0, 1, 2, OR 3, so: John My calculator said it, I believe it, that settles it

Probability-and-statistics/450295: All new drivers must take the drivers test. Monday eighteen new driver will take the drivers examination. If the probability a new driver passes the drivers test on the first try is .8, find the following probabilities: A. what is the probability that 12 will pass? B. what is the probability that no less than 12 will pass? C. what is the probability that at most 12 will pass? 1 solutions Answer 309743 by solver91311(16885)   on 2011-05-16 18:54:12 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by Part a): Part b): Part c: John My calculator said it, I believe it, that settles it

Travel_Word_Problems/450282: George a race-walker, is on one end of a 6 mile track. John a average walker is on the other end of the track. The two start walking towards each other and meet in 1/2 hour. If George's average speed exceeds John's by 6 mph, find the speed of both walkers. How do I set up and solve the equation? This is what I came up with: r+6= rate of George 1/2r + 1/2(r+6)=6 John=3 mph 1/2r + 1/2r + 3=6 George=9 mph r + 3=6 r+3-3=6-3 r=3 3+6=9 1 solutions Answer 309739 by solver91311(16885)   on 2011-05-16 18:45:00 (Show Source): You can put this solution on YOUR website! Nothing whatsoever wrong about the way you did the problem. Actually, this is a two-by-two linear system problem that lends itself neatly to solution by the Substitution method. You simply skipped the step of writing the quantity equation that relates the two speeds, solving that equation for one of the speeds, and then substituting the expression into your second equation. But there is nothing wrong with that approach when the relationships are this simple. John My calculator said it, I believe it, that settles it

Points-lines-and-rays/449980: What is the y axis of (2,4), (3,10), and (4,8)? 1 solutions Answer 309730 by solver91311(16885)   on 2011-05-16 18:26:23 (Show Source): You can put this solution on YOUR website! This question makes no sense. 3 non-collinear points do not have a "y-axis" 3 non-collinear points uniquely define a parabola that has a y-intercept. But that is a lot of work for me to do just on a wild guess as to what you meant. Re-post and write your question correctly. John My calculator said it, I believe it, that settles it

percentage/450050: Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him? 1 solutions Answer 309625 by solver91311(16885)   on 2011-05-16 11:50:28 (Show Source): You can put this solution on YOUR website! He started with some amount, call it . He multiplied times 35% or rather 0.35. Then he added the result to the original amount, to arrive at a sale price of $670. You can do your own arithmetic. John My calculator said it, I believe it, that settles it

Triangles/450053: The lengths of the legs of a right triangle are 22 feet and 19 feet. which equation would you solve to find the length of the hypotenuse? 1 solutions Answer 309619 by solver91311(16885)   on 2011-05-16 11:45:16 (Show Source): You can put this solution on YOUR website! I wouldn't solve an equation, per se, I would simply do some arithmetic. Square 22, square 19, add the two values, take the square root of the result. But if you insist on an equation: John My calculator said it, I believe it, that settles it