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# Recent problems solved by 'solver91311'

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 Expressions-with-variables/229312: -3b+9 = 9 - 3b what is b?1 solutions Answer 170041 by solver91311(16897)   on 2009-10-20 18:12:49 (Show Source): You can put this solution on YOUR website! Anything you would like it to be. The given statement is true for all possible values of the variable. John
 real-numbers/229306: when is the answer all real numbers?1 solutions Answer 170040 by solver91311(16897)   on 2009-10-20 18:11:36 (Show Source): You can put this solution on YOUR website! Whenever you cannot exclude at least one real number. John
 Numbers_Word_Problems/229302: My greatest digit is 9. But im less than 900. I am one more than a multiple of 10, my digits equal 12. What am i ?1 solutions Answer 170039 by solver91311(16897)   on 2009-10-20 18:10:04 (Show Source): You can put this solution on YOUR website! Greatest digit is 9, but less than 900, so at most the number can have three digits, and the hundreds digit cannot be 9. One more than a multiple of 10. All multiples of 10 end in 0, so one more must end in 1. That means that the 1s digit is 1, and since 1 plus 9 is only 10, we need another digit, namely a 2 to make the sum of the digits be 12. The 2 has to go in the 100s place, the 9 in the 10s place, and the 1 in the 1s place. I am 291. John
 Volume/229296: Please help me with this question...Im not understanding it.--Thank you!! Two similar triangles are also congruent triangles.1 solutions Answer 170036 by solver91311(16897)   on 2009-10-20 18:04:20 (Show Source): You can put this solution on YOUR website! Perhaps you don't understand the question because it is not a question. It is a statement, an utterly false statement, but a statement nonetheless. Now, if you turn the statement around, you will have a true statement, that is: Two congruent triangles are also similar triangles. Your given statement is false because just because the sides of two triangles are in proportion (they are similar), they aren't necessarily equal (congruent). My statement is true because the sides cannot be equal unless they are also in proportion. John
 Volume/229293: I need some help PLEASE. Two lines are parallel if they have the same slope. Explain why the points with the following coordinates form a parallelogram. Thank you so much!!!1 solutions Answer 170034 by solver91311(16897)   on 2009-10-20 17:55:57 (Show Source): You can put this solution on YOUR website! The probability of you receiving an answer to this question will increase from 0 to some number larger than 0 if you would only take the time to share the ordered pairs that form the vertices of the quadrilateral in question. John
 Number-Line/229275: explain how to find the greatest interger on a number line1 solutions Answer 170032 by solver91311(16897)   on 2009-10-20 17:53:46 (Show Source): You can put this solution on YOUR website! Don't know what an interger is. If you mean integer, then you can't find the greatest integer on a number line. A number line goes on forever, so there is no largest number on it. Of course, you can only represent part of a number line at any given time, so I guess the greatest integer on any given segment of the number line would be the integer with the largest value that you could see on that segment. John
 Numbers_Word_Problems/229285: one fourth of a number is 3 times greater than one sixth of it find the number1 solutions Answer 170029 by solver91311(16897)   on 2009-10-20 17:45:45 (Show Source): You can put this solution on YOUR website! Let represent the number. Just solve for . However, you will find that there is no solution to this problem because it reduces to the absurdity . John
 Volume/229230: I have a math problem where they say sand is poured from a grinder forming a conically shaped pile. When the pile is 28 feet in diameter and 12 feet high, how many cubic yards of sand are in the pile. I have been trying to get the answer using the volume of a cone formula. V= 1/3(3.14)(14)squared(12). I cannot seem to get the answer. Can you help me please? Thank you very much.1 solutions Answer 170027 by solver91311(16897)   on 2009-10-20 17:37:54 (Show Source): You can put this solution on YOUR website! Since the dimensions of the cone are given in feet, i.e. 28 feet base diameter and 12 feet height, when you square the radius, in feet, you get feet squared, then when you multiply by height, in feet, you get feet cubed, or cubic feet. But the problem requires the answer in cubic yards. 3 times 3 times 3 equals 27, so there are in this cone, but there are John
 Trigonometry-basics/229168: Solve using the quadratic formula. x(squared) + 2x - 3 = 01 solutions Answer 169957 by solver91311(16897)   on 2009-10-20 12:05:53 (Show Source): You can put this solution on YOUR website! Same as problem 229172 (http://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.229172.html), except for different coefficients: , , and . John
 Trigonometry-basics/229169: Solve using the quadratic formula. x(squared) - 16x - 57 = 01 solutions Answer 169956 by solver91311(16897)   on 2009-10-20 12:05:25 (Show Source): You can put this solution on YOUR website! Same as problem 229172 (http://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.229172.html), except for different coefficients: , , and . John
 Trigonometry-basics/229170: Solve using the quadratic formula. 2x(squared) - 9 - 6x = 01 solutions Answer 169955 by solver91311(16897)   on 2009-10-20 12:04:32 (Show Source): You can put this solution on YOUR website! Same as problem 229172 (http://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.229172.html), except for different coefficients: , , and . John
 Trigonometry-basics/229172: Solve using the quadratic formula. 7x(squared) + 4x = 21 solutions Answer 169954 by solver91311(16897)   on 2009-10-20 12:02:08 (Show Source): You can put this solution on YOUR website! First put your equation into standard form, Now you can see that , , and . Plug it into the quadratic formula: The only thing left to do is the arithmetic. I'll leave that in your capable hands. John
 Coordinate-system/229163: Find the ordered pair for the following: -2y=14x+11 solutions Answer 169952 by solver91311(16897)   on 2009-10-20 11:57:17 (Show Source): You can put this solution on YOUR website! You can't find THE ordered pair that satisfies I can't find it, and neither can anyone else. That is because the set of ordered pairs that satisfy the given equation has an infinite number of elements -- in fact, uncountably infinite (unless you restrict the domain to something like the integers or the rationals). If you need AN ordered pair that satisfies , just pick any value you like for , substitute that value in place of in the equation, and then do the arithmetic required to calculate the value of . Then your ordered pair will be (x,y) where is the value you picked and is the value you calculated. John
 Probability-and-statistics/229152: how many 3 digit number can we do out of these numbers {0,1,2,3,4,5,6} that are greater than 330.(repetition is allowed)1 solutions Answer 169949 by solver91311(16897)   on 2009-10-20 11:39:15 (Show Source): You can put this solution on YOUR website! 331 to 336 : 6 numbers 340 to 366 : 1 way to choose high digit, 3 ways to choose middle digit, 7 ways to choose low digit : 1 X 3 X 7 = 21 400 to 666 : 3 ways to choose high digit, 7 ways to choose middle digit, 7 ways to choose low digit: 3 X 7 X 7 = 147 6 + 21 + 147 = 174 John
 Money_Word_Problems/229084: PLEASE HELP?!! i am studying for a test and im ready to cry... the twice is totally throwing me off.... a man invested twice as much money at 10% as he does at 8%. If his total interest is $224.00 how much does he invest at each rate?1 solutions Answer 169917 by solver91311(16897) on 2009-10-20 02:04:55 (Show Source): You can put this solution on YOUR website! Let represent the amount invested at 8%, then is the amount invested at 10%. So:$800.00 @ 8% = $64.00 and$1,600.00 @ 10% = $160.00.$160.00 + $64.00 =$224.00 John
 Numbers_Word_Problems/229063: what are three positive integers whose sum equals their product?1,2,3 1+2=3+3=6 1*2=2*3=61 solutions Answer 169916 by solver91311(16897)   on 2009-10-20 00:58:16 (Show Source): You can put this solution on YOUR website! 1, 2, and 3 John
 Angles/229019: COMPLIMENTARY ANGLE OF 104 DEGREES?1 solutions Answer 169915 by solver91311(16897)   on 2009-10-20 00:50:51 (Show Source): You can put this solution on YOUR website! In the first place, stop typing your posts in all CAPS. It is the electronic equivalent of shouting and is therefore both rude and annoying. In the second place, I have never heard one angle say something nice to or about another angle. Angles, as I understand them, can neither speak or make judgments about anything, therefore angles cannot be complimentary. In the third place, complementary angles are acute angles. An angle that measures 104° is an obtuse angle and therefore cannot have a complement. Now, if you really meant supplementary, write back and we'll talk. John
 Angles/228956: when given an angle that has been bisected and one piece = 2X and the other half = 3x+9 , how do you find the measure of the entire angle ?1 solutions Answer 169911 by solver91311(16897)   on 2009-10-19 23:42:10 (Show Source): You can put this solution on YOUR website! If the angle has been bisected, the measure of one part of the bisection has to be the same as the measure of the other half of the bisection. However, your expressions for the measures of the two pieces make no sense. Here's why: Since the two pieces have to be equal: Now the total measure of the original angle must be the sum of the to parts: But if And a negative value for the measure of something is absurd. On the other hand, if you had a typo and you really meant and , then everything works fine: John
 Numbers_Word_Problems/229033: find four consecutive even integers such that the sum of the squares of the first and the second is 12 more than the last1 solutions Answer 169905 by solver91311(16897)   on 2009-10-19 23:05:53 (Show Source): You can put this solution on YOUR website! Let represent the smallest integer. Then is the next consecutive even integer. The next one after that is And the last one is The square of the first one is: The square of the second one is: The sum of the squares of the first two is: Twelve more than the last is So: Solve the quadratic for to find the smallest integer, and then count by 2s to get the next three. Hint: This quadratic factors. You will get two roots, but one of them will not be an integer. The positive integer root is your answer. John
 Square-cubic-other-roots/229035: One more and that it it I promise. Simplify: (-27x9)1/3 The 9 is a 'to the power number' and the 1/3 is a fraction and 'to the power number.' Will someone please help me. 1 solutions Answer 169896 by solver91311(16897)   on 2009-10-19 22:35:59 (Show Source): You can put this solution on YOUR website! First recognize that () So: Then use: So: Now use So: John
 Age_Word_Problems/228831: Nancy is 4 times as old as her sister, Fran. 3 years ago, the sum of their ages was 4 years total. How old was Fran 3 years ago? What does that mean, technically? Please provide a chart! THANKS!!!!!!!!!!1 solutions Answer 169770 by solver91311(16897)   on 2009-10-19 18:03:23 (Show Source): You can put this solution on YOUR website! Let represent Fran's age now. Then Nancy's age now is . Fran's age 3 years ago is , and Nancy's age 3 years ago is . Three years ago the sum of their ages was 4, so: Solve for and then subtract 3. You will discover that Fran's mother wasn't even expecting 3 years ago. John
 Systems-of-equations/228842: How do you do -4y=x+48 and solve for y1 solutions Answer 169769 by solver91311(16897)   on 2009-10-19 17:56:20 (Show Source): You can put this solution on YOUR website! Multiply both sides by John
 Polygons/228839: can you please help me with my homework i really dont get this problem the measure of each interior angle of a regular polygon is t times the measure of each exterior angle of a polygon. show that the polygon has 2(t+1) sides1 solutions Answer 169768 by solver91311(16897)   on 2009-10-19 17:54:58 (Show Source): You can put this solution on YOUR website! The measure of an exterior angle of a regular -gon is: The measure of an interior angle of a regular -gon is: If the interior angle is times the exterior angle, then: Just solve for in terms of John
 Mixture_Word_Problems/228824: Please help me solve this: Find the amount of a 12% saline solution a lab assistant should add to 80 cc(cubic centimeters) of a 22% saline solution in order to have a 16% solution.1 solutions Answer 169761 by solver91311(16897)   on 2009-10-19 17:17:51 (Show Source): You can put this solution on YOUR website! Let represent the amount to add in CCs. Just solve for John
 Numbers_Word_Problems/228683: Find four consecutive even integers such that the sum of the squares of the first and the second is 12 more than the last.1 solutions Answer 169699 by solver91311(16897)   on 2009-10-19 12:33:56 (Show Source): You can put this solution on YOUR website! Let represent the smallest integer. Then is the next consecutive even integer. The next one after that is And the last one is The square of the first one is: The square of the second one is: The sum of the squares of the first two is: Twelve more than the last is So: Solve the quadratic for to find the smallest integer, and then count by 2s to get the next three. Hint: This quadratic factors. You will get two roots, but one of them will not be an integer. The positive integer root is your answer. John
 Geometry_Word_Problems/228686: A 27-foot board is cut into pieces with lengths in the ratio 4:5. Which is the length of the longer piece?1 solutions Answer 169697 by solver91311(16897)   on 2009-10-19 12:24:51 (Show Source): You can put this solution on YOUR website! Let represent the measure of the longer piece. Then the measure of the shorter piece must be . Since these two pieces are in the ratio 4:5, we can write: Cross multiply and solve for . John
 Triangles/228684: A corn field has a rectangular area of 40,000 square yards. If the length is 200 yards more than twice the width, find the dimensions of the field.1 solutions Answer 169695 by solver91311(16897)   on 2009-10-19 12:20:11 (Show Source): You can put this solution on YOUR website! Let represent the width. Twice the width is then . 200 yards more than that is , which is the length. The length times the width is the area: Just solve the quadratic for to get the width, then calculate the length from that. Hint: This factors. You will get two real number roots but one of them will be negative. Exclude the extraneous negative root because you are looking for a positive measure of length. John
 Polynomials-and-rational-expressions/227287: f(x)= x^2-2x-1 luvly_lenz@yahoo.com1 solutions Answer 168949 by solver91311(16897)   on 2009-10-15 18:53:33 (Show Source): You can put this solution on YOUR website! What a cute little quadratic polynomial function. Does it have a name? Does it come when it is called? Is it housebroken? Exactly what is it you wanted to do with this? Is there a question somewhere that I missed? John
 absolute-value/227283: How can you alter an absolute value equation?1 solutions Answer 168947 by solver91311(16897)   on 2009-10-15 18:51:13 (Show Source): You can put this solution on YOUR website! That would depend on what you wanted to accomplish by altering it. If you mean what can you do to put it into a form such that it can be solved, use the definition of absolute value: Other than that, I can't help you much unless you would care to share a specific problem. John
 Equations/227271: in order to number the pages of a book, the printer used 2,989 digets. how many pages did the book have?1 solutions Answer 168945 by solver91311(16897)   on 2009-10-15 18:48:03 (Show Source): You can put this solution on YOUR website! Pages 1 through 9 use 1 digit each, for a total of 9 digits, leaving 2,980 digits remaining. Pages 10 through 99 use 2 digits each: 90 pages times 2 digits per page is 180 digits, leaving 2800 digits remaining. Pages 100 through 999 each use 3 digits: 900 pages times 3 digits is 2700 digits, leaving 100 digits remaining. Each subsequent page uses 4 digits, so there are enough digits left to number 100 divided by 4 equals 25 additional pages, namely page 1000 through 1024. The book, presuming it had no additional un-numbered pages, has 1024 pages. John