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# Recent problems solved by 'solver91311'

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 test/322993: Find the -intercept of the line whose equation is: y=12/5x-13/61 solutions Answer 231200 by solver91311(17077)   on 2010-07-16 13:10:17 (Show Source): You can put this solution on YOUR website! You didn't say whether you want the -intercept or the -intercept. John
 Quadratic_Equations/322964: Multiply (r + 1/4)(r + 1/3) Simplify. Thanks!!1 solutions Answer 231199 by solver91311(17077)   on 2010-07-16 13:09:10 (Show Source): You can put this solution on YOUR website! Use FOIL. First: Outside: Inside: Last: Add 'em up: John
 Miscellaneous_Word_Problems/322962: Need help finding the radius. If the diameter of a circle is 1.3 x 〖10〗^(-12) meters, then what is its radius?1 solutions Answer 231198 by solver91311(17077)   on 2010-07-16 13:02:46 (Show Source): You can put this solution on YOUR website! The radius is always 1/2 of the diameter John
 Exponents/322990: I need to simplify All variables represent nonzero real numbers. 〖(3〗^3/3)〖^2〗1 solutions Answer 231196 by solver91311(17077)   on 2010-07-16 12:27:21 (Show Source): You can put this solution on YOUR website! I have no idea what you are trying to represent here. Write it again in a different way. John
 Polynomials-and-rational-expressions/322991: let say an 8-foot by 5-foot section of wall is to be convered by sqaure tiles that measure 4 inches on each side. IF the tiles are not cut, how many of them will be needed to cover the wall and the choices are: 30 240 360 14401 solutions Answer 231195 by solver91311(17077)   on 2010-07-16 12:26:19 (Show Source): You can put this solution on YOUR website! 4 inches is 1/3 foot. So there are 3 times 3 4inch tiles in a square foot. The wall is 8 times 5 square feet. John
 Evaluation_Word_Problems/322985: The perimeter of a rectangle is 120 meters. Its length is 3 times its width. Find the dimensions of the rectangle. 1 solutions Answer 231194 by solver91311(17077)   on 2010-07-16 12:24:02 (Show Source): You can put this solution on YOUR website! Let represent the width. Then is the length. The perimeter is two times the length plus two times the width, so: Solve for . John
 Quadratic_Equations/322979: Solve. Square root of 9x + 55 = x + 5 Simplify and use comma to separate answers as needed. Thank you so much!!!1 solutions Answer 231193 by solver91311(17077)   on 2010-07-16 12:19:33 (Show Source): You can put this solution on YOUR website! Presuming you mean: which makes sense, instead of which is really what you wrote, proceed as follows: Square both sides: Collect everything on the left: Which is an easily factorable quadratic (6 plus -5 = 1, 6 times -5 equals -30). Check both roots. One of them will not check. Exclude that root as extraneous -- introduced by squaring both sides of the equation in the first step. John
 Expressions-with-variables/322984: Solve. s^2 - 4s - 45 = 0 Use comma to separate answers as needed. If there is NO Solution type N. Thank you so much!!!1 solutions Answer 231190 by solver91311(17077)   on 2010-07-16 12:09:42 (Show Source): You can put this solution on YOUR website! This little monster factors quite tidily. Hint: John
 Triangles/322775: The hypotenuse of a triangle is 15 meters. If one leg is 3 meters longer than the other, what are the lengths of the legs?1 solutions Answer 231058 by solver91311(17077)   on 2010-07-15 16:56:07 (Show Source): You can put this solution on YOUR website! Use Pythagoras: Just solve for John
 Quadratic_Equations/322752: Ethan cuts half a rectangular lawn 40 m by 30 m by mowing a strip of equal width around the perimeter. Julia cuts the small rectangle left. How wide a strip does Ethan cut so that they share the work equally?1 solutions Answer 231055 by solver91311(17077)   on 2010-07-15 16:51:05 (Show Source): You can put this solution on YOUR website! Since Ethan cuts a strip meters wide all the way around, each of the dimensions of the rectangle left for Julia is the original dimension reduced by . The entire lawn area is 30 times 40 meters or 1200 square meters. That means we need to choose so that Julia's piece which measures by is half of that area or 600 square meters. Expand the binomials, put the equation in standard form, and then solve the resulting quadratic for . John
 Geometry_proofs/322771: Choose the corresponding reason for each statement. 1. TR ≅ TY 2. TR=TY 3. ΔTRY is isosceles.1 solutions Answer 231052 by solver91311(17077)   on 2010-07-15 16:41:44 (Show Source): You can put this solution on YOUR website! Triangle TRY is isosceles by the definition of isosceles -- at least two of the sides of the triangle have the same measure. But not having the diagram or any other information, I can't tell you what would lead you to think that TY and TR are either congruent or equal in measure. John
 Radicals/322773: i am not good with htis stuff do you think a tutor can come help me1 solutions Answer 231051 by solver91311(17077)   on 2010-07-15 16:38:58 (Show Source): You can put this solution on YOUR website! Sure, where are you? John
 absolute-value/322768: what is the "absolute value of 2x-5"?1 solutions Answer 231050 by solver91311(17077)   on 2010-07-15 16:36:50 (Show Source): You can put this solution on YOUR website! Use the definition of absolute value. In the case that In the case that John
 Finance/322766: The balance, B n + 1, in Mr. Smith's savings account at the end of a year is calculated by the equation B n+1 = (1.065) Bn, where Bn is the balance at the end of the previous year. Mr. Smith made a deposit to pen the account 4 years ago. He has not made any additional deposits or withdrawls since. The balance at the end of two years was 1701.34. What is the balance at the end of 4 years? a) 1922.51 b) 1929.70 c) 2143.69 d) 2188.721 solutions Answer 231048 by solver91311(17077)   on 2010-07-15 16:26:43 (Show Source): You can put this solution on YOUR website! You told us how to do the problem. The only thing left is to do the arithmetic. Are you saying that you cannot operate a calculator? is the balance at the end of the 3rd year, so must be the balance at the end of the 4th year. John
 Expressions-with-variables/322767: substition x+y=12 x-4y=-81 solutions Answer 231047 by solver91311(17077)   on 2010-07-15 16:21:24 (Show Source): You can put this solution on YOUR website! "substition" What does that mean? I know how to solve a system of linear equations by substitution. Is that what you want? John
 Rectangles/322758: In a diagram, a square named PQRS is tilted on its side so that vertex Q is on point (0,4) and vertex P is on (5,0). What is the coordinate of vertex S (the vertex oppisite vertex Q) ?1 solutions Answer 231045 by solver91311(17077)   on 2010-07-15 16:18:41 (Show Source): You can put this solution on YOUR website! That would depend, of course, on which side of the line segment PQ you construct the rest of the square. Is the origin (0,0) inside or outside of the square? Using the properties of congruent triangles, you can have or John
 Expressions-with-variables/322755: at work it take 1.5 minute for 1.5 tables of worker to finish 1.5 pizza how long will take 2 tables to finish 2 pizzas? 1 solutions Answer 231043 by solver91311(17077)   on 2010-07-15 16:07:41 (Show Source): You can put this solution on YOUR website! It would take 1.5 minutes for tables of workers to finish pizzas. John
 Probability-and-statistics/322762: alex had 2.5 times as many books as i do you could also say she has 27 more books than i do. how many do i have? thankyou1 solutions Answer 231041 by solver91311(17077)   on 2010-07-15 16:04:49 (Show Source): You can put this solution on YOUR website! Let represent the number of books that you have. Then represents the number of books that Alex has. Also, represents the number of books that Alex has. Since the number of books that Alex has is equal to the number of books that Alex has, we can say: Just solve for . By the way, don't you have a 'Shift' key on your keyboard? Lack of capitalization and missing punctuation made your submission very difficult to read. Please have more consideration for those of us who are trying to help you. John
 Functions/322744: I know the differences between domain and range, and that square roots are a restricted function, but are there others?1 solutions Answer 231023 by solver91311(17077)   on 2010-07-15 14:59:56 (Show Source): You can put this solution on YOUR website! All domains are restricted in the sense that any value that would make the function undefined must be excluded. Some functions, most notably polynomial functions and exponential functions have no restrictions on the domain, which is to say that the domain is all real numbers. You gave one example of a type of function which does have a restricted domain, namely a function that involves a radical with an even-numbered index, or equivalently, a fractional exponent with an even-numbered denominator. In this case, the domain must be restricted such that the radicand is always greater than or equal to zero. Another common example is the rational function, such as . In such a function the domain must be restricted such that . The domain of Logarithmic functions must be restricted such that the argument of the log function is greater than 0. Note that the argument must be strictly greater than 0; it cannot equal zero. Trigonometric functions are often artificially restricted because of their periodic nature, and the fact that some trig fuctions have discontinuities at 0, or . And finally, where you have a complex function that includes more than one of these considerations, all must be taken into account. John
 Linear-equations/322692: Given a triangle with x, y and z. x=12 and z=15 what is y? 1 solutions Answer 231017 by solver91311(17077)   on 2010-07-15 14:47:25 (Show Source): You can put this solution on YOUR website! There is no way to tell other than to say that because of the triangle inequality. Had you qualified the triangle as a right triangle and had you identified which of , , or was the hypotenuse, or had you given the measure of one of the angles of the triangle, then someone could have given you a specific answer. John
 Polynomials-and-rational-expressions/322690: how do i factor this expression out completely?mn - 4m - 5n + 20 1 solutions Answer 231000 by solver91311(17077)   on 2010-07-15 12:59:20 (Show Source): You can put this solution on YOUR website! Factor out of the first two terms. Factor out of the last two terms. Factor out of what remains. John
 Angles/322689: the measure of the angles of a triangle are in the ratio 1:2:3. what is the measure(in degrees) of the smallest angle?1 solutions Answer 230998 by solver91311(17077)   on 2010-07-15 12:52:17 (Show Source): You can put this solution on YOUR website! Let represent the measure of the smallest angle. Then the other two angles must measure and . The sum of the measures of the interior angles of a triangle is . Solve for John
 Numbers_Word_Problems/322679: Akeesh’s age is an odd number less than 30 but greater than 20. The number has only 3 factors. How old is Akeesh?1 solutions Answer 230996 by solver91311(17077)   on 2010-07-15 12:49:10 (Show Source): You can put this solution on YOUR website! This problem can be solved without knowing the fact that Akeesh's age is an odd number. In order for a number to have an odd number of factors, it must be a perfect square. That is because factors must always come in pairs, so for there to be an odd number of factors, one of the pairs must consist of two identical numbers and the product must then be a perfect square. There is only one perfect square in the interval . John
 Probability-and-statistics/322673: A pair of dice is rolled. Find the probabilities of the given events. a. The sum of four. b. The sum of four, given that the sum is odd. c. The roll is doubles, given that the sum is four.1 solutions Answer 230995 by solver91311(17077)   on 2010-07-15 12:41:02 (Show Source): You can put this solution on YOUR website! The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures. There are 36 possible outcomes for rolling a standard pair of 6-sided dice. Dice with different numbers of sides and with different numbering than the standard 1 through 6 have different numbers of outcomes. There are three ways to make a 4. 1,3 2,2 and 3,1. Hence, the probability of a four is . Since 4 is an even number there is no combination where the sum is 4 and the sum is odd simultaneously. The numerator of the fraction is zero. There is only one way to roll a 4 with doubles...2 and 2. That's why they call it the "hard way" at the Craps table. John
 Equations/322668: How do I solve 2x^-96=01 solutions Answer 230993 by solver91311(17077)   on 2010-07-15 12:32:52 (Show Source): You can put this solution on YOUR website! What you wrote is 2x^-96 = 0, which means which renders as -- the graph of which is asymptotic to the -axis, and hence has no zeros. But I don't think that is what you meant. I suspect you meant , which is VASTLY different than what you wrote. I suspect you are laboring under the misapprehension that the caret mark means to square the variable that precedes it. It does not mean that -- it means to raise the variable that precedes it to the power that follows it. I.e. x^2 means x squared, x^3 means x cubed, x^6 means x to the sixth power...and x^-96 means to raise x to the -96th power. Going on my presumption, proceed as follows: John
 Linear_Equations_And_Systems_Word_Problems/322661: In 1948, Earl Shaffer became the first person to hike all the 2100 mi of the Appalachian trial- from Springer Mountain, Georgia, to Mt. Katahdin, Maine. Shaffer repeated the feat 50 years later, and at the age of 79 became the oldest person to hike the entire trail. When Shaffer stood atop Big Walker Mountain, Virgina, he was three times as from from the northern end of the trail as from the southern end. At that point, how far was he from each end of the trail?1 solutions Answer 230991 by solver91311(17077)   on 2010-07-15 12:18:35 (Show Source): You can put this solution on YOUR website! Let represent the distance from the southern end. Then represents the distance from the northern end. Solve for John
 Matrices-and-determiminant/322666: this is a problem!! jose invested $600 at 7% interest. he also invested$400 at 6.5% interest at the end of the year, his money had earned \$68 interest?1 solutions Answer 230990 by solver91311(17077)   on 2010-07-15 12:15:56 (Show Source): You can put this solution on YOUR website! That's exactly right. What's the problem? John
 Linear-equations/322664: The linear equation y=0.16x+0.78 represents an estimate of the average cost of gas for year x starting in 1997 (“Consumer price index,” 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9. What is the y-intercept?1 solutions Answer 230989 by solver91311(17077)   on 2010-07-15 12:14:03 (Show Source): You can put this solution on YOUR website! Substitute zero for . That leaves . Hence the -intercept is John
 Linear-equations/322663: The linear equation y=0.16x+0.78 represents an estimate of the average cost of gas for year x starting in 1997 (“Consumer price index,” 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9. What is the slope, or rate of change, of this equation?1 solutions Answer 230988 by solver91311(17077)   on 2010-07-15 12:12:03 (Show Source): You can put this solution on YOUR website!already answered this one
 Linear-equations/322665: The linear equation y=0.16x+0.78 represents an estimate of the average cost of gas for year x starting in 1997 (“Consumer price index,” 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9. What does the y-intercept represent?1 solutions Answer 230987 by solver91311(17077)   on 2010-07-15 12:11:11 (Show Source): You can put this solution on YOUR website! If represents the year 1997, then the -intercept, where must represent the year 1996. John
 Geometry_Word_Problems/322535: If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260°. hexagon heptagon nonagon no such polygon exists1 solutions Answer 230900 by solver91311(17077)   on 2010-07-14 20:35:59 (Show Source): You can put this solution on YOUR website! The sum of the interior angles of any convex polygon is: where is the number of sides (or vertices, for that matter). So: and solve for where If is not an integer, the polygon does not exist. Hint: A hexagon has 6 sides, a heptagon has 7 sides, and a nonagon has 9 sides. John