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# Recent problems solved by 'solver91311'

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 test/438691: 10^x-2=180 how do I work this1 solutions Answer 303297 by solver91311(17077)   on 2011-04-20 23:27:25 (Show Source): You can put this solution on YOUR website! Depends. Do you mean or ? John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/438715: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph. y^2/25-x^2=11 solutions Answer 303294 by solver91311(17077)   on 2011-04-20 23:14:55 (Show Source): You can put this solution on YOUR website!Why did you post the same problem twice?
 Quadratic-relations-and-conic-sections/438716: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph. x^2/4 - y^2/9 = 11 solutions Answer 303293 by solver91311(17077)   on 2011-04-20 23:14:30 (Show Source): You can put this solution on YOUR website!Why did you post the same problem twice?
 test/438700: If x^2+2xy+y^2=8, find 3(x+y)^2. The choices that are given are 2, 4, 24, or cannot be determined. 1 solutions Answer 303292 by solver91311(17077)   on 2011-04-20 23:13:37 (Show Source): You can put this solution on YOUR website! Hint: John My calculator said it, I believe it, that settles it
 Pythagorean-theorem/438554: a circle is inside a square and line from left to right across with a on left side and b on right side--question is if line ab (diameter) is 82cm--what is left not covered by the circle1 solutions Answer 303228 by solver91311(17077)   on 2011-04-20 18:17:46 (Show Source): You can put this solution on YOUR website! I'll solve the problem in general and then you can apply the solution to your specific case. If a circle is inscribed in a square, that is the circle is tangent to all 4 sides of the square, then the diameter of the circle and the side of the square are congruent. Let represent the diameter of the circle. 1. Since the diameter of the circle is congruent with the side of the square, the area of the square is represented by . 2. Since the radius of a circle is half of the diameter, the radius of this circle is . And the area of the circle is then ( times the radius squared) 3. The desired area is the area of the square minus the area of the circle, so: A little algebra: And a little calculator work: Hence, roughly 21.5% of the square remains uncovered. All you need now is the area of your given square and multiply by 0.215] John My calculator said it, I believe it, that settles it
 Linear-systems/438549: For this problem i just need to know the last equation. A minor league baseball park has 7000 seats. Box seats cost $6,grandstand seats cost$4, and bleachers seats cost $2. When all seats are sold, the revenue is$26400. If the number of box seats is one-third the number of bleachers seats, how many seats of each type are there? My 2 equations are x + y + z = 7000 6x + 4y +2z = 26400 What is the last equation?1 solutions Answer 303224 by solver91311(17077)   on 2011-04-20 18:01:46 (Show Source): You can put this solution on YOUR website! The number of box seats is one-third the number of bleacher seats, so: Write back with your solution and I'll check it for you. John My calculator said it, I believe it, that settles it
 Numeric_Fractions/438545: 2/3x < 14. Please help me solve. Thank you1 solutions Answer 303223 by solver91311(17077)   on 2011-04-20 17:49:50 (Show Source): You can put this solution on YOUR website! Presuming that is NOT in the denominator of the fraction in the LHS (and you should have used parentheses to make the situation abundantly clear -- we aren't mind readers or clairvoyants, after all) then: Multiply both sides by John My calculator said it, I believe it, that settles it
 Graphs/438544: Find equation. write Ax+By=C slope -1/3 through (4,2)1 solutions Answer 303222 by solver91311(17077)   on 2011-04-20 17:45:11 (Show Source): You can put this solution on YOUR website! Use the point-slope form of an equation of a line: where are the coordinates of the given point and is the given slope. Substitute the given values, do the arithmetic, and then rearrange the equation into form. John My calculator said it, I believe it, that settles it
 Angles/438543: A pole makes an 85 degree angle with the ground what is the measure of the angle the pole makes with the vertical?1 solutions Answer 303221 by solver91311(17077)   on 2011-04-20 17:41:58 (Show Source): You can put this solution on YOUR website! That depends on whether the ground is perfectly horizontal. Presuming it is, and knowing that horizontal and vertical are perpendicular (meaning the angle between them is 90 degrees), simply subtract 85 degrees from 90 degrees. John My calculator said it, I believe it, that settles it
 Volume/438536: Gasoline Containers Mark Russo has two right cylindrical containers for storing gasoline. One has a diameter of 10 in. and a height of 12 in. The other has a diameter of 12 in. and a height of 10 in. a. Which container holds the greater amount of gasoline, the taller one or the one with the greater diameter? b. What is the difference in volume?1 solutions Answer 303220 by solver91311(17077)   on 2011-04-20 17:39:37 (Show Source): You can put this solution on YOUR website! The volume of a cylinder is given by: where is the radius of the base and is the height. Don't worry about an approximation for , just leave your answers in terms of because that is the only way to represent the answers exactly. The radius is half of the diameter. Plug in the values and do the arithmetic. Hint: The bigger answer is the larger volume. Subtract the smaller from the larger to find the difference. John My calculator said it, I believe it, that settles it
 Rational-functions/438535: hi im having trouble simplifying expressions x cubed over 3x squared minus 12 divided by x cubed plus 9x minus 301 solutions Answer 303219 by solver91311(17077)   on 2011-04-20 17:31:51 (Show Source): You can put this solution on YOUR website! It depends. Do you mean or or something else entirely? John My calculator said it, I believe it, that settles it
 Rectangles/438464: The perimeter of a retangle is 64m. What are three possible measurements for the length and width? What is the area of these rectangles?1 solutions Answer 303217 by solver91311(17077)   on 2011-04-20 17:23:28 (Show Source): You can put this solution on YOUR website! Pick any value for the width in the range . Note and obey the "strictly less than" relationships in the given range (if you pick either exactly 0 or exactly 32 for the width, you will have a line, not a rectangle). Multiply this value by 2. Subtract the result from 64. Divide the result by 2. The end result will be the corresponding length. Perform the above procedure two more times. Take each selected width and multiply it by the corresponding length to get the area of the specified rectangle. You will get the largest possible area if you choose a value for that is one-fourth of the perimeter so that the resulting rectangle will actually be a square. John My calculator said it, I believe it, that settles it
 Permutations/438373: Please help me with is... Write this expression using exponents: √x^3y. (1) x^2/3 y^1/3 (2) x^3/2 y^1/3 (3) x^3/2 y^1/2 (4) (xy)^3/21 solutions Answer 303176 by solver91311(17077)   on 2011-04-20 12:11:20 (Show Source): You can put this solution on YOUR website! The numerator of a fractional exponent indicates raising to a power. The denominator of a fractional exponent indicates taking a root. That is to say: John My calculator said it, I believe it, that settles it
 Circles/438345: Hello I would like to get help on the following question, A Circle that measure 370' around and has 4" of soil removed so it kinda of looks like a hughe 4" soda can. How many square feet lie in void???1 solutions Answer 303172 by solver91311(17077)   on 2011-04-20 11:53:13 (Show Source): You can put this solution on YOUR website! You asked how many "square feet" lie in the void. The only way that makes any sense is if you are asking about the total surface area of the cylinder-shaped void. The Total Surface Area of a cylinder is given by the sum of the areas of the two circular bases plus the lateral surface area which is given by the circumference of one of the bases times the height of the cylinder (making sure to normalize the units). The area of one of the bases is times the square of the radius of the circle. We are given the circumference which is equal to 2 times times the radius -- hence the radius is the circumference divided by . Area of the two circular bases: Lateral area: because 4" is foot. Hence the total surface area is You can run a calculator as well as I can to complete the arithmetic. On the other hand, if what you really meant was "cubic feet" meaning you wanted the volume of removed material, that is another thing altogether. The volume of a cylinder is the area of one of the bases times the height. Take the area of the two bases from above and divide by 2. Then multiply by the 1/3 foot height. John My calculator said it, I believe it, that settles it
 Rational-functions/438340: given that DE is parallel to AB, what is the measure of DE? 1 solutions Answer 303166 by solver91311(17077)   on 2011-04-20 11:06:01 (Show Source): You can put this solution on YOUR website! So where is the figure? Without any other information, the fact that a pair of line segments are parallel tells you nothing about the length of one of them. This is algebra.com. This is NOT the Psychic Hot Line. We can't be expected to guess at the information you don't tell us. John My calculator said it, I believe it, that settles it
 Word_Problems_With_Coins/438332: If Uzbech currency consists of 13 cent and 17 cent coins, can you buy a 20 cent newspaper and recieve exact change?1 solutions Answer 303164 by solver91311(17077)   on 2011-04-20 11:03:00 (Show Source): You can put this solution on YOUR website! Yes. The difference between 17 and 13 is 4. 4 times 5 is the 20 cents needed for the paper. That suggests that 5 coins must be involved somehow. Give the paper boy five 17 cent coins worth 85 cents. He gives you back a newspaper worth 20 cents and five 13 cent coins worth 65 cents. John My calculator said it, I believe it, that settles it
 Volume/438089: how do i calculate width knowing the cubic millimeters and the length and depth 1 solutions Answer 303020 by solver91311(17077)   on 2011-04-19 19:35:32 (Show Source): You can put this solution on YOUR website! The volume is the length times the width times the depth. Divide the volume by the length times the depth. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/438080: How to solve for x in .1 solutions Answer 303019 by solver91311(17077)   on 2011-04-19 19:33:19 (Show Source): You can put this solution on YOUR website! Move one of the radical expressions to the other side of the equation: Square both sides: Collect like terms and multiply by Square both sides again You can take it from here. Remember to check your answer to make sure you haven't introduced an extraneous root. John My calculator said it, I believe it, that settles it
 Graphs/438060: how to graph 1 solutions Answer 303017 by solver91311(17077)   on 2011-04-19 19:17:15 (Show Source): You can put this solution on YOUR website! I suspect that you have misrepresented your problem and that you really mean: rather than Be that as it may, you can use the same basic process either way. Step 1: Pick a value for . It can be anything you like, but I recommend small integers -- it makes the arithmetic easier. Step 2: Do the indicated arithmetic to determine the value of Step 3: Create an ordered pair using the selected value from step 1 and the calculated value from step 2. Step 4: Plot the point. Step 5: Repeat steps 1 through 4 with a different value for . If you actually meant the linear equation that I suggested above, then plotting two points is sufficient. Just draw a line all the way across your graph paper through the two plotted points. If the equation is what you actually represented, namely , then you have some more work to do. You will have to repeat step 5 several times and you will have to avoid selecting the value zero for at any time. Don't forget to pick some negative as well as positive values for so that you get both branches of your hyperbola. When you think you have plotted enough points, then draw smooth curves through the two sets of points. John My calculator said it, I believe it, that settles it
 Linear-systems/438059: determine if any of the ordered pairs are solutions to the equation given: y= -3x (-5,15) (27,-9) 1 solutions Answer 303011 by solver91311(17077)   on 2011-04-19 19:00:56 (Show Source): You can put this solution on YOUR website! Substitute the first number in one of your ordered pairs for in your equation. Substitute the second number in that same ordered pair for in your equation. Do the indicated arithmetic. If the result is a true statement, then the ordered pair is an element of the solution set. Otherwise, not. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/438051: Find the theoretical probability of the outcome: Landing on an odd number when spinning a spinner with 4 equal spaces marked 1,4,6,8. 1 solutions Answer 303007 by solver91311(17077)   on 2011-04-19 18:53:48 (Show Source): You can put this solution on YOUR website! Divide the number of odd numbers that are possible in the outcome by the number of numbers possible in the outcome. John My calculator said it, I believe it, that settles it
 Equations/438036: when solving for (3x+7)^2 =676 can you leave the answer as x^2 =69.71 solutions Answer 303004 by solver91311(17077)   on 2011-04-19 18:47:02 (Show Source): You can put this solution on YOUR website! No, absolutely not. There are two very compelling reasons, one general and the other specific, why not. First, in general, when you are asked to solve for , you have to solve for , not or anything else. Second, specifically for this problem, . Not even close. Start over. Take the square root of both sides. Remember to consider both the positive and negative roots. Set 3x + 7 equal to the positive root and solve. Then set 3x + 7 equal to the negative root and solve. Since 676 is a perfect square, x will be a rational number. John My calculator said it, I believe it, that settles it
 Rectangles/438030: If a rectangle has the area of 64 radical 3 what is the length and width? The picture shows the rectangle with a diagonal drawn from the top right corner to the bottom left corner. There is an angle measure of 30 degrees in the bottom left corner (the bottom of the two angle formed by the diagonal drawn). I think that just means the two triangles in the rectangle are 30 60 90 triangles.1 solutions Answer 302998 by solver91311(17077)   on 2011-04-19 18:31:21 (Show Source): You can put this solution on YOUR website! Yep. 30-60-90 triangle. So if the short side of the rectangle is , the hypotenuse of the triangle (that is to say the diagonal of the rectangle) has to be and the long side of the rectangle has to be . Since the area of the rectangle has to be length times width or , we can say: Just solve for John My calculator said it, I believe it, that settles it
 Quadratic_Equations/438013: Carl wants to construct three rectangular dog-training arenas side-by-side using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas? (let x represent the width). I used the formula A=3xy to find the area and I came up with: A=3x(340-4x)/6 I also used the formula P=4x+6y to find the perimeter and I came up with: Y=(340-4x)/6 I don't know where to go from here.1 solutions Answer 302991 by solver91311(17077)   on 2011-04-19 18:17:05 (Show Source): You can put this solution on YOUR website! You are over-thinking the setup here. Imagine 3 rectangles stacked on top of one another creating another, larger rectangle. Let the width of this larger rectangle be represented by . Let the length of the larger rectangle (the sum of the widths of the three small ones) be represented by Now the perimeter of this larger rectangle is just like any other rectangle, but remember that this is three rectangular areas so there are two more pieces of fence each of which measures , so we can write: to show the relationship between the length and width of the large rectangle and the amount of available fencing. Next, the area of the large rectangle, which is the area we are asked to maximize is given by: But if we solve the fencing relationship for we can create a function for the area in terms of the width: Then, by substitution: Which is a quadratic function of the form: where , , and Since this is a quadratic with a negative lead coefficient, the graph is a parabola that opens downward, hence the vertex represents the maximum value of the function. Use the formula for the -coordinate of the vertex of a parabola to find the overall width that maximizes the area: feet Substitute this value into the equation for the fencing: and solve for the overall length: feet John My calculator said it, I believe it, that settles it
 Equations/438001: the pentagon building in washimgton D.C is shaped like a regular pentagon.If the length of one side of the pentagon is represented by n+2 its perimeter would be represented by 1)5n+10 2)5n+2 3)n+10 4)10n1 solutions Answer 302978 by solver91311(17077)   on 2011-04-19 17:47:04 (Show Source): You can put this solution on YOUR website! Five identical sides each of which measures n + 2. Multiply n + 2 times 5. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/437998: Hi i need help on the question: Given theta, phi [0,pi/2], tan(theta)=1/2, and tan(phi)= 3/4, find the exact value of tan(phi - theta). I'm not sure if you're supposed to plug into an equation? or just simply solve the problem. 1 solutions Answer 302972 by solver91311(17077)   on 2011-04-19 17:34:12 (Show Source): You can put this solution on YOUR website! Use the formula for the tangent of the difference: Just plug in the given values: and do the arithmetic. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/437871: A co-worker posed this problem this morning that his daughter had. I'm not sure enough information is given to arrive at a solution. A lady drives to her destination one day at 40 mph. Another day she drives at 56 mph. She arrived at her destination the second day 2 hrs quicker than the first trip. What was the distance of her trip?1 solutions Answer 302890 by solver91311(17077)   on 2011-04-19 13:38:53 (Show Source): You can put this solution on YOUR website! You have all of the information you need. Remember that distance equals rate times time, which is to say time is equal to distance divided by rate. Let represent the distance we don't know but want to find and let represent the time. We are given the two rates, 40 and 56 mph. The time taken for the first day's trip is then: The time for the second day's trip is two hours less than the first day, so we can say: Solve the second equation for in terms of everything else: Simplify the RHS: Now that we have two things both of which are equal to we can set them equal to each other. Cross-multiply Now all you have to do is distribute in the RHS, collect terms, and solve for John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/437861: In the seven-term sequence A,B,C,D,E,F,G each term after the first three is the sum of the previous three terms. If D=12,E=17, and G=60, determine the value of A.1 solutions Answer 302884 by solver91311(17077)   on 2011-04-19 13:26:49 (Show Source): You can put this solution on YOUR website! So Then So Then So Then You should be able to finish from here. John My calculator said it, I believe it, that settles it
 sets-and-operations/437865: I need Venn diagram of this problem Soft Drink Taste Test A soft drink company wishes to introduce a new soft drink. The company is considering two flavors, lemon lime and cherry cola. In a sample of 125 people, it was found that • 80 liked lemon lime. • 68 liked cherry cola. • 42 liked both types c) How many liked either one or the other or both? d) How many did not like either flavor? 1 solutions Answer 302882 by solver91311(17077)   on 2011-04-19 13:16:32 (Show Source): You can put this solution on YOUR website! Draw a rectangle. Draw two circles that partially overlap fully within the rectangle. Label one of the circles LL and the other CC. Write the number 42 in the space where the two circles overlap. Subtract 42 from 80 and write the result in the part of the LL circle that does not overlap the other circle. Subtract 42 from 68 and write the result in the part of the CC circle that does not overlap the other circle. Add the three numbers in your diagram. This is the answer to part C. Subtract the answer to part C from 125. This is the answer to part D. John My calculator said it, I believe it, that settles it
 Sequences-and-series/437863: what is the explicit formula to the sequence 360,180,90,451 solutions Answer 302881 by solver91311(17077)   on 2011-04-19 13:11:06 (Show Source): You can put this solution on YOUR website! where John My calculator said it, I believe it, that settles it
 Probability-and-statistics/437857: if numbers 1 to 60 what is the probability of getting 55 or higher 1 solutions Answer 302880 by solver91311(17077)   on 2011-04-19 13:07:02 (Show Source): You can put this solution on YOUR website! Probability is expressed as a fraction. Presuming that each of the possible results from 1 to 60 is equally likely, the denominator is the number of numbers from 1 to 60 inclusive. The numerator is the number of numbers from 55 to 60 inclusive. Don't forget to simplify your fraction. John My calculator said it, I believe it, that settles it