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# Recent problems solved by 'solver91311'

solver91311 answered: 16862 problems
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 Equations/570382: the sum of the measure of two complementary angles is 90. if on angle measures 15 more than twice the measure of the complement, find the measure of each angle.1 solutions Answer 367672 by solver91311(16877)   on 2012-02-09 15:40:08 (Show Source): You can put this solution on YOUR website! Let represent the measure of the complement of the angle. Then twice the measure of the complement is and 15 more than that is . Since the sum of the measures of complementary angles is 90, if is the measure of the complement, then must be the measure of the angle. So: Solve for then calculate John My calculator said it, I believe it, that settles it
 Human-and-algebraic-language/570381: Louis collects comic books. He buys 3 comics a week for a year. Let "X" represent the value of weeks and write an equation that would calculate the number of weeks it has been in Louis has 48 comics. I can't seem to think of any other way to write it except X*3=48 but that seems incorrect...1 solutions Answer 367670 by solver91311(16877)   on 2012-02-09 15:31:47 (Show Source): You can put this solution on YOUR website! Let's see, using your theory, in 1 week he would have , in 2 weeks, , etc. seems perfectly reasonable to me. Why does it seem incorrect to you? John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/570011: 1. Freedom or Alligators Once upon a time, a prison warden was responsible for 22 prisoners on Death Row. These prisoners were students who had done terrible things: some illegally downloaded movies and music, some texted during classes, some were addicted to Facebook, and some watched Glee. One day, the warden offers the prisoners one chance at freedom. After a brief discussion period in which they could plan their strategy, each of the prisoners will be placed in solitary confinement (in completely soundproof cells) with absolutely no way to communicate with one another. The warden will arbitrarily take one prisoner at a time to another room containing two light switches side by side. The switches are not connected to anything, but the warden tells the prisoners that at the beginning of the entire process both switches will begin in the “Off” or “Down” position. The rules are that each time one of the prisoners enters the room he or she must flip exactly one of the switches. The warden tells the prisoners that if one of them ever correctly announces that all 22 prisoners have been in the room that they will all be released. However, if any of the prisoners ever incorrectly claims that all 22 have been in the room, then all 22 will be fed to the warden’s pet alligators. The warden makes it clear to that prisoners may be returned to the room any number of times, but there is no way for the prisoners to communicate with one another other than by way of the two light switches. The room with the switches will be thoroughly cleaned after each prisoner leaves. The prisoners are given some time to come up with a plan before they are to be placed in solitary confinement. How do they ensure their freedom? 1 solutions Answer 367521 by solver91311(16877)   on 2012-02-08 22:04:56 (Show Source): You can put this solution on YOUR website! The prisoners need to choose a leader, who we will hereafter call the "Scorekeeper" The other prisoners will be refered to as "Transmitters" Designate one of the switches as A and the other as B, i.e. decide that the left hand switch will be A. And then make sure everyone knows their left from their right -- they are students after all. When a Transmitter enters the room, s/he will take one of the following actions: If switch B is OFF and this person has never encountered switch B in the OFF position before, turn switch B ON. If switch B is ON, change the position of switch A. If switch B is OFF but this person has seen switch B in the OFF position on a previous visit, change the position of switch A. The Transmitters' job is to wait for that one occasion when they encounter switch B in the OFF position for the first time so that they can turn it on. When the Scorekeeper enters the room s/he takes one of the following actions: If switch B is ON, s/he turns it off and adds 1 to the score. If switch B is OFF, s/he changes the position of switch A and does NOT add to the score. When the score reaches 21, the Scorekeeper announces that all of the prisoners have visited the room at least once. I hope the warden takes the students who were convicted of watching Glee and throws them to the alligators anyway. John My calculator said it, I believe it, that settles it
 Equations/570028: x2-2x=48....i have to solve for x by completing the square..how do you do this? ^(squared)1 solutions Answer 367509 by solver91311(16877)   on 2012-02-08 21:20:07 (Show Source): You can put this solution on YOUR website! Step 1. Move the constant term to the right hand side. This step is already done. Step 2. Divide through by the lead coefficient. The lead coefficient in this problem is 1, so you can skip this step. Step 3. Divide the coefficient on the first degree term by 2. In this case, 2 divided by 2 is 1. Step 4. Square the result of Step 3. 1 squared is 1. Step 5. Add the result of Step 4 to both sides of the equation. Step 6. Factor the perfect square trinomial in the LHS: Step 7. Take the square root of both sides, considering both the positive and negative root: So or Step 8. Solve the two linear equations to get your two roots. John My calculator said it, I believe it, that settles it
 Polygons/570021: If you were to place a rhombus in the coordinate plane so that its diagonals lie along the axes, what would be the coordinates of the vertices using as few variables as possible?1 solutions Answer 367505 by solver91311(16877)   on 2012-02-08 21:08:05 (Show Source): You can put this solution on YOUR website! Rhombus diagonals bisect each other, so if the diagonals lie on the axes, then the opposite vertices (the endpoints of the diagonals) are equidistant from the origin. Further, the vertices must lie on the axes as well, so you only need two variables for the 4 vertices. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/570016: 5. The same salesman has a particular trip of 48 miles, which he often takes. Four times it has taken him one hour to complete the trip and six times it has taken one and a half hours. What is his expected time per trip? (Now convert the data to miles per hour and then calculate his expected speed. Compare the two answers.) 6. A small loan company finds 12% of its loans are defaulted for an average of 20% of the loan value. What is the expected percent of default for all their loans? 7. A mail order company finds 18% of the purchases of a particular item are returned. The company estimates each return costs $0.70 in transportation and extra handling. What is the expected extra cost due to returns per unit of this item? 8. A second-hand car lot has a mark-up of$250 on 65% of its cars and a mark-up of $400 on the rest. What is the expected mark-up? 9. A department store discovers twice as many customers buy two units of$3.95 (for the pair) as buy one unit for $2.15. What is the expected purchase price per unit? 10. A magazine states the average number of cars per subscriber family is 1.2. If 20% of the family subscribers have no cars, what is the average number of cars per family of those families, which have one or more cars? 1 solutions Answer 367501 by solver91311(16877) on 2012-02-08 20:56:26 (Show Source): You can put this solution on YOUR website! Is there some part of the concept "one problem per post" that you don't quite comprehend, or do you just think that you are too important to have to be concerned with petty annoyances like rules? John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/570015: the quotient of two numbers is 8,the difference of the same two numbers is 49. what are the two numbers? 1 solutions Answer 367499 by solver91311(16877) on 2012-02-08 20:51:04 (Show Source): You can put this solution on YOUR website! "Quotient" is the result of division, so: must be greater than since the quotient above is greater than 1, so: Multiply both sides of the first equation by , then substitute the RHS expression into the second equation. Solve for , then calculate using either of the equations. John My calculator said it, I believe it, that settles it  Polygons/569384: Please help!!!! I will praise you!!! At 9:30 am tomorrow, we open our doors for the last time. The price of every item in the store will be reduced 10% every hour, on the hour, beginning at 10am until everything goes, The stereo calvin would love to buy is$359 dollars.. Calvin has saved $270 for the stereo. Henry told calvin that at 11:01 am, the price of the stereo will be$287.20. Jacob says $290.79 will be the price. What might he expect the price to be at 11:01 and why? Henry claims that since the prices go down 105 every hour, after 10 hours, the stereo will be free. He tells calvin to arrive at the store at 8pm for a free stereo. Do you agree with Henry's reasoning? Explain why and why not. Sales tax is 6%. Assuming he gets no more money, explain to Calvin when he will be able to afford the stereo and how you figured this out. Be sure your work is shown in an organized format so that it can be easily followed THANKS SOO MUCH!!!!!!!!!!!!!!!!! :DDDDDDDDDDDDDDDD1 solutions Answer 367317 by solver91311(16877) on 2012-02-07 21:49:41 (Show Source): You can put this solution on YOUR website! The total amount to be paid after the first 10% reduction (considering the 6% sales tax) is: The second hour or and, in general, after hours: Since Calvin's funds are limited to$270.00, we need to solve for and round up to the next higher integer. Take the natural log of both sides Use to write then Round up So the total amount will be less than Calvin's $270 right after the fourth hour. 10 is the first hour, 11 is the second hour... So Calvin needs to come in at 1:00 pm when the total amount will be: Which means that Calvin can go to lunch as long as he doesn't spend more than for his meal including tax and tip. The only flaw in Calvin's plan is: What if there are a limited number of these stereo sets -- a number less than or equal to the number of people who come in at noon with$280 in their pocket? In such an event, Calvin is out of luck. And by the way, Henry is an idiot. You take 10% off the CURRENT price, not the FULL price, each hour. Super Double Plus Extra Credit Theoretically, the price will never reach zero since after any reduction, 90 percent of the previous amount remains. However, a point will be reached eventually such that the total amount, including tax, will be reduced to an amount when rounded to the nearest one cent will be $0.00. Using the process outlined above, how many hours must elapse before he would actually receive the item absolutely free? Hint: What value of t makes the total price less than$0.005? John My calculator said it, I believe it, that settles it
 Human-and-algebraic-language/569381: Please help translate this. Ian writes 4 pages in his report every night for 2 weeks. He must write a total of 65 pages.how many more must Ian write?1 solutions Answer 367305 by solver91311(16877)   on 2012-02-07 21:01:06 (Show Source): You can put this solution on YOUR website! It is either or Depending on whether he works the weekends or not. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/569365: Find the amount of interest and the monthly payment for the loan. Purchase a car for $42,500 at 2.4% add-on rate for 5 years. (Round your answers to the nearest cent.) the correct answer was 5100 for interest the correct answer was 793.33 per month I had 1751 for interest and 388.73 for monthly payment. How did they arrive at 5100 and 793.33. Thanks.1 solutions Answer 367303 by solver91311(16877) on 2012-02-07 20:56:30 (Show Source): You can put this solution on YOUR website! 2.4% add-on means 2.4% added to the total indebtedness for each year of the loan. which is the total added on interest. There are 60 months in 5 years, so: So$793.33 per month. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/569359: A car dealer will sell you a used car for $7,771 with$771 down and payments of $237.03 per month for 36 months. What is the simple interest rate? (round each answer to the nearest). the correct answer is 7.3% My answer was 4.1% I did the following:$7,7771 - $771 =7000 I=/$237.03(36) = 8533.08 7000(r)(3)= 21,000 8533.08/21000= 0.406 I want to see how they arrived at 7.3% thanks.1 solutions Answer 367297 by solver91311(16877)   on 2012-02-07 20:36:08 (Show Source): You can put this solution on YOUR website! is the total of payments on an indebtedness of 7000, so the total interest paid was $1,533.08. The total interest was paid over a period of 3 years, so the amount of interest paid per year is$511.03. Simple interest rate is the interest paid per year divided by the total indebtedness. John My calculator said it, I believe it, that settles it
 Problems-with-consecutive-odd-even-integers/569348: if the first and third of three consecutive odd integers are added, the result is 63 less then five times the second integer. Find the third integer.1 solutions Answer 367294 by solver91311(16877)   on 2012-02-07 20:22:13 (Show Source): You can put this solution on YOUR website! Let represent the third of the consecutive odd integers. Then the second is and the first is . The sum of the first and third is then Five times the second is then Less 63 is Then Solve for John My calculator said it, I believe it, that settles it
 Proportions/569349: i need help with 3/2=18/8 1 solutions Answer 367291 by solver91311(16877)   on 2012-02-07 20:15:36 (Show Source): You can put this solution on YOUR website! It is a false statement. John My calculator said it, I believe it, that settles it
 percentage/569350: What percent of 145 is 29 ?1 solutions Answer 367290 by solver91311(16877)   on 2012-02-07 20:14:36 (Show Source): You can put this solution on YOUR website! Divide 29 by 145 then move the decimal point 2 places to the right. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/569345: A record radius of 15cm. The label has a radius of 6cm. Find the following to the nearest tenth: A. The area of the record (including the label). B. The area of the label. C. The area of the record that is not covered by the label.1 solutions Answer 367288 by solver91311(16877)   on 2012-02-07 20:13:03 (Show Source): You can put this solution on YOUR website! The area of a circle is given by The entire record is a circle of radius 15 cm. The label is a circle of radius 6 cm. The area of the record not covered by the label is the area of the entire record minus the area of the label. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/569341: 1.)the sum of 2 numbers is 48 and their difference is 24. what are the numbers 2.)a group of students visted an art muesuem . 2 adults and 5 students in one van paid $77. 2 adults and 7 students in the second van paid$95. find the price for 1 adult and 1 student. 3.)the addmission fee at a small fair is $1.50 and$4.00 for adults. on a certain day 2200 people entere the fair and $5050 is collected. how namy children and how namy adults attended 4.)a landscaping company placed 2 orders with a nursery. the first order was for 13 bushes and 4 trees, and tottaled$487. the second order was for 6 bushes and 2 trees and totalled \$232. the bills do not list the per item pirce. what were the cost of 1 bush and 1 tree on all of them you have to define the variables,write yout sytems of equations, and show your work1 solutions Answer 367287 by solver91311(16877)   on 2012-02-07 20:09:46 (Show Source): You can put this solution on YOUR website! The first and most important lesson to learn in any field of endeavor, and most particularly in the study of mathematics, is the ability to read and follow instructions. Go back to the page where you posted your questions and re-read (or read for the first time as the case may be) the rather clearly couched instruction that says you may only ask one question per post. Write back when you have read it a sufficient number of times such that you fully comprehend the concept. John My calculator said it, I believe it, that settles it
 Sequences-and-series/569333: the equation is 1+2+4+8..., n-6 i know the answer is 63 but idk how to get the answer and what formulas to use1 solutions Answer 367285 by solver91311(16877)   on 2012-02-07 20:04:36 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Points-lines-and-rays/569330: With A and B as centers and a radius how would you construct a perpendicular to the line AB?1 solutions Answer 367283 by solver91311(16877)   on 2012-02-07 19:56:41 (Show Source): You can put this solution on YOUR website! Assuming the measure of the radius is strictly greater than the measure of AB divided by 2, construct a circle of the radius centered at A and then construct another circle with the same radius centered at B. The two circles will intersect at two points. Construct a line segment passing through the two points of intersection. The fact that each of the points is equidistant from A and B guarantees that the constructed segment will not only be perpendicular to AB, but will also bisect AB. John My calculator said it, I believe it, that settles it
 Rectangles/569323: the length of a rectangle is 7 inches longer than its width if the area of the rectangle is 144 square inches what are its demensions?1 solutions Answer 367281 by solver91311(16877)   on 2012-02-07 19:49:40 (Show Source): You can put this solution on YOUR website! but in this case So: And in this case, So: or, in standard quadratic form: Solve the quadratic for , discard the extraneous negative root, then calculate . Hint: The quadratic factors. Hint: 16 minus 9 is 7. John My calculator said it, I believe it, that settles it
 Linear_Algebra/569324: I get 2 points for every basket I make. How many points for n baskets?1 solutions Answer 367279 by solver91311(16877)   on 2012-02-07 19:41:45 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/569320: What is another way you can model 7 snack packs containing 6 crackers each? What does model mean? Thank you. 3 graders homework that mom and dad are confused.1 solutions Answer 367278 by solver91311(16877)   on 2012-02-07 19:40:33 (Show Source): You can put this solution on YOUR website! If you are asking about "another way," then there must be an example already done. What does that look like? We would be delighted to help, but you have to tell the whole story. John My calculator said it, I believe it, that settles it
 logarithm/569318: 3+(2b)=11 b=? how do i do this1 solutions Answer 367276 by solver91311(16877)   on 2012-02-07 19:37:08 (Show Source): You can put this solution on YOUR website! Add -2b to both sides. Divide both sides by 9. Reduce the fraction. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/568882: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80% of its flights arriving on time. A test is conducted by randomly selecting Southwest flights and observing whether they arrive on time. Find the probability that exactly flights arrive on time1 solutions Answer 367155 by solver91311(16877)   on 2012-02-06 22:23:11 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by Your probability of success on any given trial is given as 80%, but you didn't bother to share the number of trials or the desired number of successes, so you are on your own from here. John My calculator said it, I believe it, that settles it
 Distributive-associative-commutative-properties/568760: The volume of a rectangular Chinese box is given by the formula V=LWH. The volume of the box shown on the right is 189 cu. units. Find the width and length.1 solutions Answer 367113 by solver91311(16877)   on 2012-02-06 19:51:25 (Show Source): You can put this solution on YOUR website! "...the box shown on the right..." Are you for real? This is Algebra.com, not the Psychic Hot Line. Use your head for something besides a hat rack next time you want to post here. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/568750: A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you answer at least one of the questions correctly?1 solutions Answer 367110 by solver91311(16877)   on 2012-02-06 19:45:08 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by The problem you have is that in order to calculate the probability of "at least one" you would need the probability of exactly 1 plus the probability of exactly 2 plus ... and so on. Easier is to realize that the probability of getting zero right and the probability of getting at least one right cover all of the possibilities. That is the probability of getting exactly zero correct plus the probability of getting at least one correct is equal to 1. Hence: Hint: and John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/568740: what is the zero product property for f(x)=2x^3+6x^2+4x1 solutions Answer 367103 by solver91311(16877)   on 2012-02-06 19:35:21 (Show Source): You can put this solution on YOUR website! First set the function equal to zero to make a polynomial equation. Then factor the polynomial. There is one monomial factor and two binomial factors. Each of the factors can be zero and satisfy the equation. John My calculator said it, I believe it, that settles it
 Linear-equations/568739: What would be the easiest way to solve y = 2x - 2 and y =-x + 51 solutions Answer 367100 by solver91311(16877)   on 2012-02-06 19:32:43 (Show Source): You can put this solution on YOUR website! By substitution. You have two expressions in both equal to . Set them equal to each other and then solve for . Once you have the value of that satisfies both equations at the same time, plug in the value to either equation and solve for John My calculator said it, I believe it, that settles it
 Exponents/568742: Hi I'm in Algebra I 8th grade and I don't understand how to do this problem. Please show work and explain step by step. Thanks!!!! 5^x+1 * 5^1-x (The x+1 and 1-x are both raised to both fives) THANK YOU!!!! 1 solutions Answer 367098 by solver91311(16877)   on 2012-02-06 19:30:41 (Show Source): You can put this solution on YOUR website! Do this one the same way as the other one I just did. John My calculator said it, I believe it, that settles it
 Systems-of-equations/568732: one third the sum of two numbers is 12 and half the difference is 14. what are the numbers? using substitution. 1 solutions Answer 367095 by solver91311(16877)   on 2012-02-06 19:28:56 (Show Source): You can put this solution on YOUR website! Two numbers, and The sum: One third of the sum: One third of the sum is 12: The difference: Half of the difference: ...is 14: Simplify the two equations: Solve the 2X2 system. Hint: It is already set up for Elimination. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/568725: How do I factor this problem completly? (75a^3-12a)1 solutions Answer 367086 by solver91311(16877)   on 2012-02-06 19:21:24 (Show Source): You can put this solution on YOUR website! Take out a factor of , then what remains will be the difference of two squares. John My calculator said it, I believe it, that settles it
 Exponents/568718: Hi I'm in Algebra I 8th grade and I don't understand how to do this problem. Please show work and explain step by step. Thanks!!!! 3^x * 3^2-x * 3^2 (The 2-x is raised, not just the 2; it's not 3^2= 9 - x, the 2 and -x are both raised.) THANK YOU!!!!1 solutions Answer 367081 by solver91311(16877)   on 2012-02-06 19:17:57 (Show Source): You can put this solution on YOUR website! Use to write John My calculator said it, I believe it, that settles it