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solver91311 answered: 17056 problems
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Money_Word_Problems/562541: Calculating future value of salary. During a job interview, Pam Thompson is offered a salary of 28,000. The company gives annual raises of 6 percent. What would be Pam's salary during her fifth year on the job? 1 solutions Answer 364610 by solver91311(17070)   on 2012-01-25 16:37:09 (Show Source): You can put this solution on YOUR website! Get out your calculator. John My calculator said it, I believe it, that settles it

Triangles/562536: The altitude of an equilateral triangle is 12 cm.find the perimeter of the triangle 1 solutions Answer 364608 by solver91311(17070)   on 2012-01-25 16:35:26 (Show Source): You can put this solution on YOUR website! The altitude of an equilateral triangle forms a 30-60-90 right triangle where the side of the equilateral triangle is the hypotenuse and the altitude is the long leg. The sides of a 30-60-90 right triangle are in proportion . Hence, if the side of the equilateral triangle measures , then the altitude must measure . A little algebra music, Sammy: Now that you have one side of your equilateral triangle, you should be able to compute the perimeter yourself. John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/562530: I need two equations and two variables.A rectangle is five times as long as it is wide. If it were 24cm shorter and 24 cm wider, it would be a square. What are the dimensions? help please!! :) 1 solutions Answer 364606 by solver91311(17070)   on 2012-01-25 16:26:21 (Show Source): You can put this solution on YOUR website! A square is a rectangle where the length equals the width, so: John My calculator said it, I believe it, that settles it

Triangles/562529: explain why you only need to know the measure of two angles of a triangle in order to classify it by its angles 1 solutions Answer 364605 by solver91311(17070)   on 2012-01-25 16:22:29 (Show Source): You can put this solution on YOUR website! The sum of the measures of the interior angles of any triangle is always . So if you know two of the angles, you know all three by a simple subtraction. John My calculator said it, I believe it, that settles it

Trigonometry-basics/561942: what are all the solutions of 2cos^2(x)-cos(x)-1=0 that lie in the interval [0, 2pi] 1 solutions Answer 364411 by solver91311(17070)   on 2012-01-24 18:08:58 (Show Source): You can put this solution on YOUR website! Do a simple substitution. Let Then It factors So or Hence or So or Find these values on the unit circle: bearing in mind that the cosine is represented by the -coordinate of a point on the unit circle and don't miss the fact that your given interval is inclusive of BOTH end points. John My calculator said it, I believe it, that settles it

Age_Word_Problems/561944: 11 years ago Shannon was twice my age. 18 years ago Shannon was 3 times my age. How old am I ? How old is Shannon? 1 solutions Answer 364408 by solver91311(17070)   on 2012-01-24 17:47:19 (Show Source): You can put this solution on YOUR website! Let represent Shannon's age now. Let represent my age now. Eleven years ago, Shannon was amd I was . Eighteen years ago, and We are given that: And Just solve the 2X2 linear system. John My calculator said it, I believe it, that settles it

Radicals/561929: 5 square root (32) + 7 square root (50) how do I do this? 1 solutions Answer 364407 by solver91311(17070)   on 2012-01-24 17:32:44 (Show Source): You can put this solution on YOUR website! I don't know how you would do it. This is how I would do it. John My calculator said it, I believe it, that settles it

Evaluation_Word_Problems/561917: on a trivia game show, a contestant will answer 21 questions. A maximum of 200 points can be earned. Some questions are worth 10 points and some are worth 8 points. How many of each point-value question must the contestant answer to earn the maximum number of points? please help my on this word problem? i have to show work to. 1 solutions Answer 364406 by solver91311(17070)   on 2012-01-24 17:19:28 (Show Source): You can put this solution on YOUR website! This is exactly the same as a "two kinds of coins in a pig bank" problem. You have to derive an equation that relates to the total NUMBER of the two things and then an equation that relates to the total VALUE of the two things. In this case, the value is expressed in points, but the idea and the process are the same. Let represent the number of 8 point questions and represent the number of 10 point questions. Then the point value of all of the 8 point questions is and the point value of all of the 10 point questions is . The total NUMBER of questions is 21 and the total point VALUE of all the questions is 200, so: Just solve the 2X2 linear system. John My calculator said it, I believe it, that settles it

Linear-equations/561568: find the point of intersection y=1/2x-1 y=x+4 I can't understand what I'm doing wrong. A graphed these equations, though i don't see how they pass each other. Please help 1 solutions Answer 364303 by solver91311(17070)   on 2012-01-23 22:09:01 (Show Source): You can put this solution on YOUR website! You have equal to two different things, so set the two things equal to each other. Solve Substitute: The solution set is: John My calculator said it, I believe it, that settles it

Triangles/561578: If a second side length is three times as long as the first side, what is the range of possible values for the third side lenght? 1 solutions Answer 364298 by solver91311(17070)   on 2012-01-23 21:58:49 (Show Source): You can put this solution on YOUR website! Any side of a triangle must measure strictly less than the sum of the measures of the other two sides. John My calculator said it, I believe it, that settles it

Numeric_Fractions/561579: Evaluate the function f(x) = 5x + 6 for x=-4 1 solutions Answer 364296 by solver91311(17070)   on 2012-01-23 21:56:36 (Show Source): You can put this solution on YOUR website! Replace with the value given, namely -4. Do the arithmetic. John My calculator said it, I believe it, that settles it

Linear-equations/561577: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution". x - y = 6 x = y + 2 1 solutions Answer 364294 by solver91311(17070)   on 2012-01-23 21:55:22 (Show Source): You can put this solution on YOUR website! Replace in the first equation with the thing is equal to in the second equation, namely . Collect like terms ending with the absurdity that . No solution. John My calculator said it, I believe it, that settles it

Average/561537: if i had a test of 25 questions and i got 13 right what percent did i get on the test? 1 solutions Answer 364293 by solver91311(17070)   on 2012-01-23 21:53:00 (Show Source): You can put this solution on YOUR website! Presuming that all questions have equal value, divide the number correct by the total number of questions. Move the decimal point two places to the right. Round off appropriately. John My calculator said it, I believe it, that settles it

�t�e�s�t/560557: If a student has a 73% and wants to raise it to a 79%, how much must he get on his final which is worth 20% of his grade? 1 solutions Answer 363950 by solver91311(17070)   on 2012-01-22 01:32:49 (Show Source): You can put this solution on YOUR website! Solve for And you will find that you can't get there from here -- unless you can score more than 100 on the final. John My calculator said it, I believe it, that settles it

Angles/560558: Two angles are complementary if the sum of the measures of their angles is 90 degrees. One angle measures six less than three times the measure of its complement. Find the measure of each angle. 1 solutions Answer 363942 by solver91311(17070)   on 2012-01-22 01:22:10 (Show Source): You can put this solution on YOUR website! Solve for John My calculator said it, I believe it, that settles it

Travel_Word_Problems/560495: You drive on Interstate 10 from Lafayette to Houston, half the time at 56 km/h and the other half at 70 km/h. On the way back you travel half the distance at 56 km/h and the other half at 70 km/h. (a) What is your average speed from Lafayette to Houston? km/h (b) What is your average speed from Houston back to Lafayette? km/h (c) What is your average speed for the entire trip? km/h (d) What is your average velocity for the entire trip? km/h 1 solutions Answer 363921 by solver91311(17070)   on 2012-01-21 21:18:36 (Show Source): You can put this solution on YOUR website! a. Let represent time for the entire trip. Then represents the amount of time at 56 km/h. And also represents the amount of time at 70 km/h. Distance equals rate times time, so the distance traveled at 56 km/h is . The distance traveled at 70 km/h is . The sum of these distances is the total distance, , from Lafayette to Houston, so Since distance equals rate times time, rate equals distance divided by time. Hence the average speed from L to H is 63 km/h. Write back and I'll give you a quote to do the rest of this. John My calculator said it, I believe it, that settles it

Equations/560492: A rectangular garden has an area of 180 square feet. If the width of the garden is 3 feet less than the length, what are the dimensions of the garden? 1 solutions Answer 363918 by solver91311(17070)   on 2012-01-21 20:50:46 (Show Source): You can put this solution on YOUR website! Let represent the width. Then is the length. The area is the length times the width, so: so Solve the quadratic but discard the negative root. John My calculator said it, I believe it, that settles it

Angles/560489: An angel is 15 degrees less than four times its complement. find the complement. I am stuck at this problem. 1 solutions Answer 363917 by solver91311(17070)   on 2012-01-21 20:46:00 (Show Source): You can put this solution on YOUR website! I can answer questions about angles, but for questions about angels, you need to consult your favorite clergyman. Let represent the measure of the desired angle in degrees. Then the measure of the complement of is . Four times the complement is and 15 degrees less than that is . And since we know that 15 degrees less than four times the complement IS the angle: Solve for . John My calculator said it, I believe it, that settles it

Polygons/560488: The measure of an exterior angle of a polygon is 20 degrees. Find the number of sides 1 solutions Answer 363915 by solver91311(17070)   on 2012-01-21 20:32:20 (Show Source): You can put this solution on YOUR website! Not enough information. The total of the measures of the external angles of any polygon is 360 degrees, but without knowing that this is a regular polygon, just knowing that one of the exterior angles measures 20 degrees doesn't tell you anything about the measures of the rest of them. On the other hand if it is a regular polygon, then you know that all of the external angles are the same so you just divide 360 by 20. John My calculator said it, I believe it, that settles it

Volume/560484: I am asked to write a polynomial for the volume of the region between the small cylinder and the large cylinder. The radius of the larger cylinder is 3 and the height of both cylinders is 6r. 1 solutions Answer 363913 by solver91311(17070)   on 2012-01-21 20:24:48 (Show Source): You can put this solution on YOUR website! Not enough information. You didn't share the radius of the smaller cylinder, nor did you confirm that the smaller cylinder is wholly contained within the larger cylinder (or if not wholly contiained, some data that would allow computation of the proportion of the smaller cylinder that is within the larger. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/560485: Jane is on a trail that ends at the river. If Jane's horse averages 7 1/2 miles per hour,how many hours will it take her to ride to the river? plz show me how to get the answer to this question.. thanks.. 1 solutions Answer 363911 by solver91311(17070)   on 2012-01-21 20:17:05 (Show Source): You can put this solution on YOUR website! Distance equals rate times time, so time equals distance divided by rate. Divide the total length of the trail (that you didn't bother to share) by the 7.5 miles per hour rate. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/560472: A BIKE IS TRAVELING AT A CONSTANT SPEED OF 20 MPH. A CAR IS TRAVELING AT A CONSTANT SPEED OF 30 MPH. IF THE BIKE WAS GIVEN A 1 HOUR HEAD START, HOW LONG WOULD IT BE BEFORE THE CAR OVERTAKES THE BIKE? 1 solutions Answer 363908 by solver91311(17070)   on 2012-01-21 20:07:12 (Show Source): You can put this solution on YOUR website! Typing all caps is the equivalent of shouting. It is both rude and annoying. Please don't apologize or make excuses -- just don't do it any more. If the bike has a one hour head start at 20 miles per hour, then it will be 20 miles ahead when the car starts. The car is going 10 miles per hour faster, so it needs 20 miles divided by 10 miles per hour equals 2 hours to cover the head start distance. John My calculator said it, I believe it, that settles it

Geometry_proofs/560481: What is the proof for this? AF+FE=DE+FE 1 solutions Answer 363907 by solver91311(17070)   on 2012-01-21 20:02:01 (Show Source): You can put this solution on YOUR website! No diagram, no description of a diagram, no description of the relationship between points A, D, E, and F. This is Algebra.com, it is NOT the Psychic Hot Line. Use your head for something besides a hat rack please. John My calculator said it, I believe it, that settles it

logarithm/560479: Which of the following is expressed as a logarithm of the exponential form of 10 raised to the power of 7 1 solutions Answer 363904 by solver91311(17070)   on 2012-01-21 19:59:49 (Show Source): You can put this solution on YOUR website! Which of what 'following'? Use your head for something besides a hat rack, please. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/560477: 3. To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled. a. Write an equation using only one variable that could be used to solve for the constant of variation k. b. A biologist counted 12 white tail deer in a 100-acre parcel of land in a nature preserve. Find the constant of variation k. c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer. 1 solutions Answer 363902 by solver91311(17070)   on 2012-01-21 19:58:02 (Show Source): You can put this solution on YOUR website! a. (this counts as an equation in one variable because for any given habitat/population scenario, and are constants.) b. , -- plug the numbers into the formula in part a. c. -- use the you calculated in part b. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/560475: the width of a rectangler swimming pool is 11 meters less than the length,and perimeter is 94 meters .find its dimensions. 1 solutions Answer 363899 by solver91311(17070)   on 2012-01-21 19:51:09 (Show Source): You can put this solution on YOUR website! I just did this same problem for you, with slightly different numbers. Just follow the same process. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/560476: The length of a rectangler picture is 5 inches greater than twice the width. If the perimeter is 112 inches, find the dimensions of the frame. 1 solutions Answer 363897 by solver91311(17070)   on 2012-01-21 19:49:45 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it

Volume/560093: a company that manufactures dog food wishes to pack the food in closed cylindrical tins what should be the dimensions of each tin of each is to have a volume of 128 1 solutions Answer 363677 by solver91311(17070)   on 2012-01-20 15:39:41 (Show Source): You can put this solution on YOUR website! Impossible to tell. There are infinite answers to this question as posed. You need an additional constraint such as a fixed radius, a fixed height, or perhaps the requirement to minimize the surface area (i.e., make the can as cheaply as possible.) John My calculator said it, I believe it, that settles it

Matrices-and-determiminant/560095: Solve the following system of equations, using the augmented matrix method. You must reduce the matrix to its row reduced echelon form and write out the complete solution to the system. x+2y-z= -3 3x+y+z=8 2x-2y+2z=12 1 solutions Answer 363662 by solver91311(17070)   on 2012-01-20 14:43:09 (Show Source): You can put this solution on YOUR website! That is at least an hour of work rendering the complete solution on this site. How much are you willing to pay? John My calculator said it, I believe it, that settles it

Linear-equations/560094: I need to find the equation of the line containing the point(-3,2) parallel to y=5. I'm stuck... 1 solutions Answer 363660 by solver91311(17070)   on 2012-01-20 14:41:18 (Show Source): You can put this solution on YOUR website! The line , is a line where ALL of the ordered pairs have a -coordinate equal to 5, in other words a horizontal line. Horizontal lines have a zero slope. Parallel lines have identical slopes, so any line parallel to a horizontal line has to have a zero slope and will have an equation of the form where is the coordinate of ANY point on that line. Since the desired line contains the point , then an equation that represents this line is John My calculator said it, I believe it, that settles it

Polygons/560070: the interior angle of a pentagon are in the ratio 4:5:6:7:5 find each angle of a pentagon. 1 solutions Answer 363657 by solver91311(17070)   on 2012-01-20 14:34:59 (Show Source): You can put this solution on YOUR website! Determine the sum of the measures of the internal angles of any pentagon by using the formula where because this is a pentagon. Then determine the constant of proportionality, , by adding all of the proportion numbers, that is 4 + 5 + 6 + 7 + 5 and then dividing the sum of the interior angle measures by the sum of the proportion numbers. Then the measures of the angles are , , , , and John My calculator said it, I believe it, that settles it