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# Recent problems solved by 'solver91311'

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 expressions/524808: evaluate 5y+2 when y=1/51 solutions Answer 347912 by solver91311(16897)   on 2011-11-01 23:46:07 (Show Source): You can put this solution on YOUR website! Replace the with the number and do the arithmetic. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/524747: each point lies on a parabola that has its vertex at (0,1) write the equation of the parabola. Indicate whether the graph opens up or down. (-1,6)1 solutions Answer 347911 by solver91311(16897)   on 2011-11-01 23:43:48 (Show Source): You can put this solution on YOUR website! Since the vertex is on the -axis, symmetry says that if is on the parabola, is on the parabola. Now that we have three points on the parabola we can write the equation. All parabolas with a vertical axis of symmetry can be described by a function of the form: So, if the point is on the parabola, then Then, if the point is on the parabola, then Then, if the point is on the parabola, then Substituting the known value of we are left with a 2X2 system: And then substituting the now known coefficients into the function definition: Since the lead coefficient is positive, the parabola opens upward. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/524745: In our population of men, height is normally distributed with 70 inches(5'10') being the mean height. What is the probability that a randomly selected man will be 74 inches(6'2') or taller.1 solutions Answer 347894 by solver91311(16897)   on 2011-11-01 22:09:18 (Show Source): You can put this solution on YOUR website! No way to tell. You didn't provide the standard deviation value. John My calculator said it, I believe it, that settles it
 Permutations/524688: Naoko found a deck of cards that had been dropped onto the floor. She picked up at least 1 card. She may have pick up 1, all 52, or any number in between. How many possible combinations are there for what she picked up? 1 solutions Answer 347857 by solver91311(16897)   on 2011-11-01 20:42:34 (Show Source): You can put this solution on YOUR website! A bunch. Where is the number of combinations of things taken at a time and is calculated by You can save yourself half the work by using symmetry: Also, in Excel (on the PC) or Numbers (on a Mac) the formula yields just fill in the numbers for and that you need. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/524690: A boat leaves a harbor and sails east at a speed of 18 miles per hour. A second boat leaves the same harbor and sails east at a speed of 28 miles per hour. The first boat leaves the harbor at 2PM. The second boat leaves at 3PM. What time will the second boat catch up to the first boat? 1 solutions Answer 347846 by solver91311(16897)   on 2011-11-01 20:29:04 (Show Source): You can put this solution on YOUR website! How far did the first boat go in the first hour? Then how long would it take to travel that distance at the DIFFERENCE in the two boats' speeds? John My calculator said it, I believe it, that settles it
 Rate-of-work-word-problems/524685: A light bulb consumes watt-hours per day. How many watt-hours does it consume in days and hours? 1 solutions Answer 347845 by solver91311(16897)   on 2011-11-01 20:27:36 (Show Source): You can put this solution on YOUR website! If it consumes watt-hours per day, then it consumes watt-hours per hour. In days and hours, it would consume: watt-hours. John My calculator said it, I believe it, that settles it
 test/524687: Y=X+Z/3 for Z1 solutions Answer 347841 by solver91311(16897)   on 2011-11-01 20:24:10 (Show Source): You can put this solution on YOUR website! Add -X to both sides. Multiply both sides by 3. John My calculator said it, I believe it, that settles it
 Proportions/524684: Mary,Bob, and Dylan contributed money to the college fund in the ratio of 3:5:8. If they contributed $464, how much did each person contribute to the fund?1 solutions Answer 347840 by solver91311(16897) on 2011-11-01 20:22:37 (Show Source): You can put this solution on YOUR website! If the proportion is 3:5:8, then there must be 3 + 5 + 8 = 16 portions, 3 of which were contributed by Mary, 5 by Bob (hope I didn't spell his name backwards), and 8 by Dylan. Divide the total by 16, then multiply by 3 to get Mary's amount, by 5 to get Bob's amount, and by 8 to get Dylan's amount. John My calculator said it, I believe it, that settles it  Percentage-and-ratio-word-problems/524681: If 45% of the students in a course made an A; 35% made a B; and the remaining 12 students made a C, how many students in the course made an A?1 solutions Answer 347838 by solver91311(16897) on 2011-11-01 20:18:46 (Show Source): You can put this solution on YOUR website! 45% plus 35% is 80%, so the percentage of students that got a C must be 20%. If there are students in the class then Solve for , then calculate John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/524678: vertical asymptotes are? h(x) = x^2-100/(x-9)(x+2) horizontal asymptotes are? f(x) = (x-7)(x+5)/x^2-1 1 solutions Answer 347836 by solver91311(16897) on 2011-11-01 20:15:02 (Show Source): You can put this solution on YOUR website! The equations of any vertical asymptotes are , where are the set of real number zeros of the denominator polynomial. The equation of a horizontal asymptote for a rational function where the degree of the numerator polynomial is equal to the degree of the denominator polynomial is where is the lead coefficient of the numerator polynomial and is the lead coefficient of the denominator polynomial. John My calculator said it, I believe it, that settles it  Permutations/524676: a format for passwords is a letter, two digits, a letter, two digits, a letter. a) How many different passwords are possible using this format if only lowercase letters may be used? b) How many passwords are possible if the digits 0 and 1 and the letters l and o are not used because their appearances are hard to distinguish? 1 solutions Answer 347832 by solver91311(16897) on 2011-11-01 20:10:00 (Show Source): You can put this solution on YOUR website! a) b) John My calculator said it, I believe it, that settles it  Coordinate-system/524664: Given the function f(x) = -x^2+8x a. Determine the vertex, b. List the axis of symmetry, c. calculate the y-intercept, d. find an additional point on the graph, and e. graph the function. Please show all of your work. 1 solutions Answer 347831 by solver91311(16897) on 2011-11-01 20:07:05 (Show Source): You can put this solution on YOUR website! Given any second degree (quadratic) polynomial function of the form: The coordinates of the vertex are found by: And the vertex is thus The equation of the axis of symmetry is: The -intercept is the point and . HINT: for your particular problem. By symmetry, is a point on the graph. Plot the three points you have derived so far and then draw a smooth curve through them. John My calculator said it, I believe it, that settles it  decimal-numbers/524662: hello my name is Jade and I need to see a example of division problems with decimals.1 solutions Answer 347825 by solver91311(16897) on 2011-11-01 19:54:39 (Show Source): You can put this solution on YOUR website! You give us a problem and show what you have done so far, then we help you solve it. John My calculator said it, I believe it, that settles it  Rectangles/524657: What is the prime factorizaion of 54?1 solutions Answer 347824 by solver91311(16897) on 2011-11-01 19:53:44 (Show Source): You can put this solution on YOUR website! 54 is even, so it is divisible by 2: 54 divided by 2 is 27, one factor of 2 27 is odd, so not divisible by 2, but 2 plus 7 is 9 and 9 is divisible by 3, so 27 is divisible by 3: 27 divided by 3 is 9, one factor of 3 9 is divisible by 3: 9 divided by 3 is 3, two factors of 3 3 is prime: 3 factors of 3. John My calculator said it, I believe it, that settles it  Proportions/524658: A blueprint shows the master bedroom to be 5 inches long and 3 inches wide. The scale on the blueprint is 2 inches for every 11 feet. What are the actual length and width of the master bedroom?1 solutions Answer 347822 by solver91311(16897) on 2011-11-01 19:50:25 (Show Source): You can put this solution on YOUR website! If 2 inches represents 11 feet, then 1 inch represents half of that, or 5.5 feet. Multiply 5.5 times each of the drawing dimensions. John My calculator said it, I believe it, that settles it  Problems-with-consecutive-odd-even-integers/524659: Find the difference 8 - (-42)1 solutions Answer 347821 by solver91311(16897) on 2011-11-01 19:49:11 (Show Source): You can put this solution on YOUR website! Minus a minus is plus. John My calculator said it, I believe it, that settles it  Travel_Word_Problems/524644: Hello, I am really having a probelm answering this question. Can you please show me the steps and the correct answer to it please? Thank a lot Mass A is 6 X 10 to the 5th kg. Mass B is 2 X 10 to the 2nd and they are 8 meters apart. How much gravatational attraction do they have for each other?1 solutions Answer 347820 by solver91311(16897) on 2011-11-01 19:48:42 (Show Source): You can put this solution on YOUR website! Physics question. Go ask on a Physics site. John My calculator said it, I believe it, that settles it  Travel_Word_Problems/524627: Hello, Im a lost on this question will you please help me and parlay all of the steps to this question along with the answer please? Thank you How long does it take for a stone to fall 2500 meters starting from rest?1 solutions Answer 347812 by solver91311(16897) on 2011-11-01 19:31:28 (Show Source): You can put this solution on YOUR website! This is a Physics AND a Mathematics question. You have to answer the Physics part first, and that question is: What is the function that describes a falling object near the surface of planet ______? (You have to decide where in the universe this stone is falling before you can determine the coefficients of your function.) Once you have determined the height (as a function of time) function that describes your vertical motion experiment, set the function equal to zero (because the ground is zero height) and solve for time. John My calculator said it, I believe it, that settles it  Geometric_formulas/524565: Find the coordinates of the centroid P of triangle ABC. A(-1,2), B(5,6), C(5,-2)1 solutions Answer 347787 by solver91311(16897) on 2011-11-01 18:35:27 (Show Source): You can put this solution on YOUR website! Use the midpoint formulas to find the midpoints of segments and . and where and are the coordinates of the segment end points. Use the two-point form of an equation of a line to write an equation of a line that passes through vertex and the midpoint of segment . Simplify as you like. Use the two-point form of an equation of a line to write an equation of a line that passes through vertex and the midpoint of segment . Simplify as you like. Two-point form: where and are the coordinates of the given points. Once you have derived both equations, solve the 2X2 independent and consistent system. The solution set will be the centroid. If you are a glutton for punishment, you can check your work by writing an equation of a line that passes through vertex and the midpoint of segment . Then pair this new equation with either of the other two and solve the new 2X2 system. Given error-free work, you get the same solution set to the system. John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/524554: What is an odd two digit number. The difference of the two digits is 5. The difference in the squares of the two digits is 45 1 solutions Answer 347786 by solver91311(16897) on 2011-11-01 18:20:02 (Show Source): You can put this solution on YOUR website! Let represent the larger of the two digits. Let represent the smaller. We know that they have to be different, and therefore there exists a smaller and a larger because the difference is non-zero. The difference of the digits is 5: The difference of the squares is 45: Add to both sides of the first equation: Substitute for in the second equation: Expand the binomial and simplify: Now you know that one of the digits of your two digit number is 2. Go back to the first equation: Now you know that your two digit number is either 72 or 27. Only one of these is odd. John My calculator said it, I believe it, that settles it  Triangles/524549: In triangle ABC, angle A is 116 degrees. The measure of angle B is three times the measure of angle C. Find the measure of angle B and C. Thank you.1 solutions Answer 347783 by solver91311(16897) on 2011-11-01 18:02:02 (Show Source): You can put this solution on YOUR website! The sum of the angles in a triangle is 180 degrees. Hence the sum of B and C has to be 64 degrees (180 minus 116). Since B is three times C, you can say: Solve for C. Then calculate 3C. John My calculator said it, I believe it, that settles it  test/524544: -x+4=x+6 what do i do when there's a varible on both sides?1 solutions Answer 347781 by solver91311(16897) on 2011-11-01 17:59:18 (Show Source): You can put this solution on YOUR website! Same thing you do when there are numbers on both sides. Add or subtract so that one side goes to zero, effectively moving the variable to the other side. If you add x to both sides of your equation, x will go away on the left, if you subtract x from both sides x will go away on the right. John My calculator said it, I believe it, that settles it  Geometry_Word_Problems/524545: a square has a perimeter of 36cm.What is the lenght of one? 1 solutions Answer 347780 by solver91311(16897) on 2011-11-01 17:56:51 (Show Source): You can put this solution on YOUR website! A square is a figure with 4 equal sides. The perimeter is the sum of the measures of the 4 equal sides. If you multiply the measure of one side times 4 you get the perimeter. So if you __________ the perimeter by 4 you get the measure of one side. John My calculator said it, I believe it, that settles it  Probability-and-statistics/524449: A local park rents cabins for people who want to vacation by the forest. The fee for the rental is$27 per night. There is also a $55 cleaning and maintenance charge that is added to the total bill$ 1 solutions Answer 347741 by solver91311(16897)   on 2011-11-01 15:32:50 (Show Source): You can put this solution on YOUR website! Is this an advertisement for your local park, or did you have some sort of question related to your statement about rental fees and cleaning/maintenance charges? John My calculator said it, I believe it, that settles it
 Rational-functions/524440: Find f(x+6) for the following function. Please show all of your work. f(x)=sqrtx^2+2/-5x1 solutions Answer 347739 by solver91311(16897)   on 2011-11-01 15:30:59 (Show Source): You can put this solution on YOUR website! Do you mean: or Next time use parentheses to make your mathematical expressions unambiguous. Either way, in the definition of replace every instance of with the expression and then simplify. John My calculator said it, I believe it, that settles it
 Linear_Algebra/524390: could some on plz help. Find the last three terms of (2x+y)^51 solutions Answer 347737 by solver91311(16897)   on 2011-11-01 15:24:24 (Show Source): You can put this solution on YOUR website! I'll do one better: I'll show you the form for general term of Where is the number of combinations of things taken at a time and is calculated by For your problem: , , and John My calculator said it, I believe it, that settles it
 Functions/524386: f(x)=x^3-x^2-34x-56 1 solutions Answer 347715 by solver91311(16897)   on 2011-11-01 13:40:18 (Show Source): You can put this solution on YOUR website! What a clever little 3rd degree polynomial function. Are you just sharing it with us because you think it is attractive, or did you have some sort of question that involves the function? This is Algebra.com. It is NOT the Psychic Hot Line. You need to ask a question. You need to tell us what part of the problem is giving you difficulty. "All of it" is an unacceptable response. You need to show the work you have done so far -- everything you have tried. Telling us that you have been working on it for three hours (days, weeks) is, in and of itself, an unacceptable response. John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/524388: Describe how to solve a linear equation using the equality properties. Demonstrate the process with an example. Next, replace the equal sign in your example with an inequality by using the less than or greater than sign. Then solve the inequality.1 solutions Answer 347714 by solver91311(16897)   on 2011-11-01 13:34:05 (Show Source): You can put this solution on YOUR website! If you have a specific problem, someone will solve it. We don't teach entire lessons in these little boxes. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/524387: Robert leaves the gym at 5:00 p.m. Fifteen minutes later, Eddie notices Robert's house keys and runs after him. If Robert walks at 6 miles pet hour and Eddie runs at 9 miles per hour ,how long will it take Eddie to catch up to Robert? Trying to study but this isn't in the text book. Help! 1 solutions Answer 347713 by solver91311(16897)   on 2011-11-01 13:32:39 (Show Source): You can put this solution on YOUR website! Distance equals rate times time. Figure out how far Robert traveled in 15 minutes (1/4 hour) at 6 miles per hour. Then figure how long it will take Eddie to cover that distance at 9 minus 6 is 3 miles per hour using time equals distance divided by rate. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/524139: Among 500 freshmen pursuing a business degree at a university, 332 are enrolled in an economics course, 223 are enrolled in a mathematics course, and 144 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in: (a) An economics and/or a mathematics course? (b) Exactly one of these two courses? (c) Neither an economics course nor a mathematics course? 1 solutions Answer 347646 by solver91311(16897)   on 2011-10-31 23:54:07 (Show Source): You can put this solution on YOUR website! 332 is the number enrolled in Econ, but includes both those enrolled in ONLY Econ or both Econ and Math. So 332 minus 144 is the number enrolled only in Econ. Likewise 223 minus 144 is the number enrolled only in Math. So 188 Econ only, 79 Math only, 144 both, and the rest 500 - (188 + 79 + 144) are enrolled in none. John My calculator said it, I believe it, that settles it
 Length-and-distance/524163: Find the coordinates of the centroid, orthocenter, and circumcenter of a triangle with vertices A(4, -1), B(2, 6), and C(9, -5). 1 solutions Answer 347638 by solver91311(16897)   on 2011-10-31 22:40:58 (Show Source): You can put this solution on YOUR website! Centroid: Calculate the coordinates of the mid-points of AC and BC. Use the mid-point formulas: and Write an equation for a line that passes through point A and the mid-point of BC. Use the two-point form of an equation of a line: where and are the coordinates of the given points. Then write an equation for a line that passes through point B and the mid-point of AC Using any convenient method, solve this 2X2 system. The solution set will be the centroid of the triangle -- the point of intersection of the three triangle medians. Orthocenter: Calculate the slope of sides AB and BC of the triangle using the slope formula: where and are the coordinates of the given points. Then, using the point-slope form of an equation, and the fact that perpendicular lines have slopes that are negative reciprocals, write equations of the two altitudes to sides AB and BC -- lines perpendicular to AC and passing through B and perpendicular to BC and passing through A. Solve the 2X2 system. The intersection of the two altitudes is the orthocenter. Circumcenter Using the slopes calculated above for AB and BC and the mid-points calculated for the Centroid solution, write equations of the perpendicular bisectors of AB and BC. Perpendicular to AB and passing through the mid-point of AB, then perpendicular to BC and passing through the mid-point of BC. Solve the 2X2 system. The intersection of the perpendicular bisectors is the circumcenter (a point equidistant from the three vertices and therefore the center of a circle that passes through the three vertices of the triangle.) John My calculator said it, I believe it, that settles it