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# Recent problems solved by 'solver91311'

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 Equations/276255: The problem is 8k-6=10k +61 solutions Answer 201354 by solver91311(16877)   on 2010-03-02 17:34:33 (Show Source): You can put this solution on YOUR website! Add to both sides. Add to both sides. Multiply both sides by John
 Geometry_proofs/276253: Given the midpoint and one of the endpoints,find the other endpoint of the segment. M(3,2) and E(6,8)1 solutions Answer 201352 by solver91311(16877)   on 2010-03-02 17:32:32 (Show Source): You can put this solution on YOUR website! Use the midpoint formulas: and Where and are the coordinates of the endpoints and are the coordinates of the midpoint. For your problem: and Now solve the two equations for the values to put into . John
 Quadratic_Equations/276243: A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weigh five times as much as the trailer. The answer is 2666 &2/3 lb, HOW?!?!1 solutions Answer 201350 by solver91311(16877)   on 2010-03-02 17:28:00 (Show Source): You can put this solution on YOUR website! Let represent the weight of the boat. The motor weighs 1500 lbs less than that, so: . The trailer is 1900 lbs less, so: . The sum of the boat and the motor is: 5 times the trailer: So: Solve for John
 Sequences-and-series/276237: the diffrence of what integer and 5 is eqaul to 321 solutions Answer 201347 by solver91311(16877)   on 2010-03-02 17:14:03 (Show Source): You can put this solution on YOUR website! so: John
 Equations/276217: clint has 8 fewer stickers than 2 times Sara's. How many stickers does clint have:1 solutions Answer 201344 by solver91311(16877)   on 2010-03-02 17:05:18 (Show Source): You can put this solution on YOUR website! Let represent the number of Sara's stickers. Then Clint has: But that is all you can tell without some additional information. John
 Linear-equations/276228: do the points (-6,5.25), and (2.5,3.25) lie on the same line?1 solutions Answer 201342 by solver91311(16877)   on 2010-03-02 17:02:46 (Show Source): You can put this solution on YOUR website! Of course. Given any two points they define a line. It is only when you have three or more points that you would have to check to see if they are co-linear. John
 Problems-with-consecutive-odd-even-integers/276222: Find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer.1 solutions Answer 201338 by solver91311(16877)   on 2010-03-02 16:56:30 (Show Source): You can put this solution on YOUR website! Let represent the smallest of the three integers. Then the next consecutive even integer must be , and the one after that must be . The product of the second and the third: Ten times the first plus 20: and, Bill Clinton notwithstanding, "is" means equals in this context so: Put into standard form: Solve this factorable quadratic. Exclude the negative root because the problem asks for positive even integers. The positive root is the smallest of the three consecutive even integers. The other two follow directly. Super Double-Plus Extra Credit How would you respond if the problem were reworded by removing the word "positive," thus: Find three consecutive even integers such that the product of the second and third integers is twenty more than ten times the first integer. John
 logarithm/276225: 16,a,b,c,60 find a,b,c in the arithmetic sequence?1 solutions Answer 201333 by solver91311(16877)   on 2010-03-02 16:40:03 (Show Source): You can put this solution on YOUR website! The fact that you need to put three numbers into the interval between 16 and 60 means that you will actually be creating four equal sized intervals. 60 minus 16 is 44. 44 divided by 4 is 11. 11 is then your common difference. So, 16 plus 11...and so on. John
 Graphs/276221: A graph is completely shaded below the line of y=x-4, but the line is dashed. Which of the points below are solutions to the inequality that is being graphed? a. (0,-4) b. (4,-8) c. (4,0) d. (8,4) 1 solutions Answer 201329 by solver91311(16877)   on 2010-03-02 16:36:25 (Show Source): You can put this solution on YOUR website! The fact that the line is dashed means that the inequality being graphed does not include "equals" You have a graph of as opposed to a graph of which graph would be identical except that the boundary line would be solid. The dashed line means that points that are actually ON the line are NOT included in the solution set of the inequality. Three of the listed points are actually on the line, and only one of them is properly into the shaded area. John
 Surface-area/276192: Find the area of an equilateral triangle, with apothem 10 times the square root of 3. inches?1 solutions Answer 201327 by solver91311(16877)   on 2010-03-02 16:29:58 (Show Source): You can put this solution on YOUR website! The apothem of an equilateral triangle divides the triangle into two 30-60-90 right triangles, where the apothem is the long leg of the triangle. The sides of a 30-60-90 right triangle are in proportion . is 20 times greater than , therefore the other two sides must measure 10 and 20 inches. The area of a right triangle is one-half of the product of the measures of the two legs. For your problem: But that is the area of only one-half of the equilateral triangle, so the total area you seek is: John
 Square-cubic-other-roots/276153: Please walk me thru each step. Thank you. Rationalize the denominator: 7x/ ∛(2x^2 y) (cube root) They say the answer is 7 ∛(2x^2 y) (cube root) divided by 2y^2 1 solutions Answer 201302 by solver91311(16877)   on 2010-03-02 13:40:53 (Show Source): You can put this solution on YOUR website! I'm not sure who "they" are, but "they" certainly have a different system of mathematics than I ever saw. That's my story, an' I'm stickin' to it. John
 Angles/276147: Three angles of a pentagon are 130', 90', and 80'. Of the remaining two angles, one is 30' more than twice the other. What is the sum of the smallest two angles?1 solutions Answer 201300 by solver91311(16877)   on 2010-03-02 13:28:23 (Show Source): You can put this solution on YOUR website! I'm going to just assume that you used ' to mean degrees of arc as opposed to minutes of arc which is the traditional meaning of that symbol. The sum of the interior angles of any -gon is given by: For a pentagon, is 5. So calculate the sum of the interior angles of a pentagon. From that calculation result, subtract the sum of 130°, 90°, and 80° leaving you the sum of the measures of the remaining two angles. Let represent the measure of the smaller angle. Then the larger angle must measure . Furthermore, the sum: must be equal to the result of the previous calculation. Putting it all together: Just solve for to get the measure of the smaller of the two remaining angles. This will turn out to be the smallest of all 5 angles. The other one will be the largest of all 5. Discover its measure by multiplying the measure of the smallest angle by 2 and adding 30 degrees. Now that you know the measure of all 5 angles, it should be an easy matter to add the measures of the two smallest ones. John
 Percentage-and-ratio-word-problems/276143: Two shaded circles are inside a rectangle that has one side that is 2" and the bottom side is 4". What is the probibilty of an object landing randomly on the figure in the shaded circle. " Express the probability as a percent."1 solutions Answer 201299 by solver91311(16877)   on 2010-03-02 13:12:32 (Show Source): You can put this solution on YOUR website! I just solved this one yesterday. The only thing I didn't do was express the probability as a percent -- but if you can't change back and forth between fractions and percentages by now, you are in way over your head. Go back a retake pre-Algebra. http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.275782.html John
 Pythagorean-theorem/276140: A right triangle has a hypotenuse of length c = 65 ft. Use the Pythagorean Theorem to find the length of leg a when the length of leg b is 16, 25, 33, and 39 feet. b = 16; a = ft b = 25; a = ft b = 33; a = ft b = 39; a = ft1 solutions Answer 201298 by solver91311(16877)   on 2010-03-02 13:06:35 (Show Source): You can put this solution on YOUR website! Pythagoras says: but that can be written: Hence: So the first one: You can work a calculator as well as I can. The others are worked exactly the same way, just change the value for . John
 Probability-and-statistics/276139: Bob is trying to borrow $1000 from friends. One of every 3 friends asked responds that their money is tied up. Of his friends with money not tied up, 2 out of 5 inform him quickly that they won't lend him money. Of the remainder, 1 out 2 won't lend him money on general principles. If Bob called 60 friends, how many might lend him money?1 solutions Answer 201295 by solver91311(16877) on 2010-03-02 13:00:15 (Show Source): You can put this solution on YOUR website! One-third of 60 is 20. 20 people have their money tied up, leaving 40. 2/5 of 40 is 16 who say no, leaving 40 minus 16 equals 24. Half of 24 is 12, leaving 12 who might loan him money. However, remind him of Polonius' advice to Laertes: Neither a borrower nor a lender be, For loan oft loses both itself and friend, And borrowing dulls the edge of husbandry. John  Graphs/276136: Hello, can you please help me with this question? It has two parts (a and b). Thank you in advance for any help you can offer! a) Solve by graphing: y= x+4 y= -2x+1 b) Tell what you can about the solution.1 solutions Answer 201291 by solver91311(16877) on 2010-03-02 12:54:44 (Show Source): You can put this solution on YOUR website! is the red line is the green line A graph of a straight line is an infinite number of ordered pairs such that the coordinates of each ordered pair satisfies the equation. When, as in this case, two lines intersect in a single point, that single point has the characteristic that its coordinates satisfy BOTH equations simultaneously. Therefore, that single point is the single element in the solution set of the SYSTEM of equations. John  Numbers_Word_Problems/276118: If it takes 32 people to get a job done in 22 days, how many people would it take to complete the job in 16 days ? I know the answer is 44, but how do we work out the problem ?THANKS !1 solutions Answer 201290 by solver91311(16877) on 2010-03-02 12:47:38 (Show Source): You can put this solution on YOUR website! If 32 people can do the job in 22 days, then one person can do of the job in 22 days, and further, one person can do of the job in one day. Then it would take one person 704 days to do the whole job, so it would take people to do the job in 16 days. John  Money_Word_Problems/276116: Find an equation of the line contain the given pair of points. (1/4,-1/2)and 3/4,6). What is the equation of the line? y=??1 solutions Answer 201287 by solver91311(16877) on 2010-03-02 12:31:07 (Show Source): You can put this solution on YOUR website! Use the two-point form of the equation of a line. Where and are the coordinates of the given points. Just plug in the numbers and do the arithmetic. John  Volume/276117: Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s)= s^3  13s^2 + 54s  72. a) Find V(10). b) If the new width is s  6 centimeters, then what are the new length and height? c) Find the volume when s=10 by multiplying the length, width, and height. 1 solutions Answer 201286 by solver91311(16877) on 2010-03-02 12:28:51 (Show Source): You can put this solution on YOUR website! Until you properly render your function with all of the signs, no one is going to help you. John  Equations/276107: I am trying to solve this equation. I also have to show each step. Please help. 3/4(12x + 8) = 50 Thanks.1 solutions Answer 201285 by solver91311(16877) on 2010-03-02 12:27:38 (Show Source): You can put this solution on YOUR website! Step 1: Distribute the factor outside of the parentheses: Step 2: Add -6 to both sides: Step 3: Multiply both sides by John  logarithm/276097: How can I calculate the difference in intensity between a 7.1 earthquake and an 8.8 earthquake? These numbers refer to the Richter scale of course.1 solutions Answer 201282 by solver91311(16877) on 2010-03-02 12:01:24 (Show Source): You can put this solution on YOUR website! One whole number is a factor of 10. 0.3 is a factor of 2. 0.1 is approximately a factor of 1.25, and 0.2 is worth about 1.56. 8.8 minus 7.1 = 1.7. 1.7 = 1 plus 0.3 plus 0.3 plus 0.1, so you have factors of: The Chilean quake released approximately 50 times more energy than your 7.1 quake. John  Rate-of-work-word-problems/276089: It takes an older computer twice as long to send out a company’s email as it does a newer computer. Working together, it takes the two computers minutes to send out the email. How long will it take the older computer to send out the email on its own? Do not do any rounding. 1 solutions Answer 201281 by solver91311(16877) on 2010-03-02 11:54:35 (Show Source): You can put this solution on YOUR website! You didn't happen to mention how many minutes it takes for the two computers working together, so all I can do is give you a general solution and you will have to plug in the numbers. Let represent the number of minutes it takes the old computer. Then represents the number of minutes it takes the new computer. Then we can say that the old computer can do of the job in 1 minute, and the new computer can do of the job in 1 minute. Working together then, the two computers can do: of the job in 1 minute. Which is to say that the two working together can do the entire job in: minutes. Set equal to the number of minutes you are given that it takes the two computers working together and then solve for . John  test/276080: if f(x)=5x^2+3/x^2-2, in the form A+B/x^2-2 and hence find the limiting value of f(x) as x tends to infinity1 solutions Answer 201279 by solver91311(16877) on 2010-03-02 11:40:08 (Show Source): You can put this solution on YOUR website! Use polynomial long division to divide by goes into 5 times. times 5 is Therefore Hence, since We can say that John  Miscellaneous_Word_Problems/275900: Equal amounts are invested in two accounts paying 4% and 5% interest annually. If one year's combined interest income is$324, how much is invested in each acount? And what would the equation be?1 solutions Answer 201166 by solver91311(16877)   on 2010-03-01 20:29:17 (Show Source): You can put this solution on YOUR website! Let represent the amount invested at 4%. Since the amounts are equal, also represents the amount invested at 5%. The amount of interest paid in 1 year at 4% is . And the amount of interest paid on the 5% money in 1 year is . The sum of these two amounts is \$324, so: Just solve for . John
 Linear-equations/275881: Which of the following equations describes the line shown below? Check all that apply. (4,6) (-1,-4) A. y = 2x - 1 B. y - 4 = 2(x - 1) C. y - 6 = 2(x - 4) D. y = 2x - 2 E. y + 6 = 2(x + 4) F. y + 4 = 2(x + 1) i tried this and the only one i got was b...but how do i know when its plus or minus on the equation???1 solutions Answer 201162 by solver91311(16877)   on 2010-03-01 20:19:00 (Show Source): You can put this solution on YOUR website! Use the two point form of the equation of a line: where and are the coordinates of the given points. Since which point you choose for #1 and which for #2 doesn't matter, you either get: Which could also be written: Or, if you swap the points: Which can also be written: Looks like C, D, and F to me. John
 Graphs/275860: Give an ordered pair of numbers that satisfy the following equation. X- 4y = 3 1 solutions Answer 201160 by solver91311(16877)   on 2010-03-01 20:05:59 (Show Source): You can put this solution on YOUR website! Pick a number for either one of the variables. It doesn't matter which variable, and it doesn't matter what number you pick (although small integers generally make the arithmetic easier). Substitute that selected value for the variable you chose, then do the arithmetic to find the value of the other variable that results. Then create your ordered pair (x, y). The value of x ALWAYS comes first (that's why they call it an ORDERED pair) John
 Numbers_Word_Problems/275872: If the circumference of a circle is 4(pi)/3, then what is half of its area?1 solutions Answer 201156 by solver91311(16877)   on 2010-03-01 19:55:43 (Show Source): You can put this solution on YOUR website! The circumference of a circle is given by: But you know that the circumference is So: Solve for then insert the value of into the formula for the area of a circle and divide the result by 2. John
 Volume/275870: a rectangular prism has a length of 4 cm and a width of 5 cm. the volume is 200 cu cm. the height of the prism is unknown.explain how to find the height of the prism.then give the height 1 solutions Answer 201155 by solver91311(16877)   on 2010-03-01 19:49:27 (Show Source): You can put this solution on YOUR website! The volume of a rectangular prism is given by: Where is the length, is the width, and is the height. You are given the volume, length, and width, so rearrange the formula by multiplying both sides by : In other words, if you know the volume, length, and width, divide the volume by the product of the length and the width. John
 Number-Line/275871: the first number is 0, then 3 blanks, then 68? 1 solutions Answer 201151 by solver91311(16877)   on 2010-03-01 19:45:45 (Show Source): You can put this solution on YOUR website! What are you talking about? John
 Proportions/275865: TWO PERCENT OF THE JAZZ RECORDS SOLD IN APRIL WERE FROM THE NEW LABEL.ABOUT HOW MANY RECORDS WERE FROM THE NEW LABEL?1 solutions Answer 201150 by solver91311(16877)   on 2010-03-01 19:45:05 (Show Source): You can put this solution on YOUR website! Is there some reason you feel the need to shout at us? Typing in all CAPS is the electronic equivalent of shouting. It is both rude and annoying. Please stop it. As to your problem, take the number of Jazz records sold in April and multiply by .02. Then round down to the next lower whole number if necessary. (no one sold a fraction of a record, so you have to round the answer) John
 Numbers_Word_Problems/275864: how do i find the solution for the following problem? The sum of two consecutive integers is 146. Find the numbers.1 solutions Answer 201144 by solver91311(16877)   on 2010-03-01 19:34:43 (Show Source): You can put this solution on YOUR website! Your problem has no solution as stated. If you have two consecutive integers, one of them must be odd and the other must be even in some order. The sum of an even number and an odd number must be odd -- but 146 is even. Now if you meant two consecutive even integers, it would work out. But that isn't what you said, and I don't want to guess. John