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# Recent problems solved by 'solver91311'

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 Travel_Word_Problems/705350: Train A leaves a station traveling at 40 mph. Six hours later, train B leaves the same station traveling in the same direction at 50 mph. How long does it take for train B to catch up to train A?1 solutions Answer 434531 by solver91311(17077)   on 2013-01-23 15:38:25 (Show Source): You can put this solution on YOUR website! The first question you need to answer is: How far will the first train have traveled in the first 6 hours? Once you have that distance, you know how far train B has to go to catch up. The first 40 mph that train B is traveling just keeps up with train A, the only part of B's speed that allows it to catch up at all is the 10 mph difference in the two trains' speeds. So the question becomes: How long does it take to travel 240 miles at 10 miles per hour? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/705339: Example: (Present Value) Tony is investing $5000 at 6% per annum, compounded quarterly for 3 years. Then, he will invest that amount along with some additional money at 7.25% per anum, compounded monthly for 3 more years so as to have$12500 at the end of six years. How much additional money must he invest? (I tried using the formula A = P(1+i)^n which is the compound interest formula, but since present value is included, I don't know what to do. The formula that was included is PV = A/(1 + i)^n) I will appreciate it if you're able to help me.1 solutions Answer 434521 by solver91311(17077)   on 2013-01-23 15:18:09 (Show Source): You can put this solution on YOUR website! Start with 5000 for 3 years at 6% per annnum compounded quarterly: Now, if you invested ONLY that amount for an additional 3 years at 7.5% per annum compounded monthly, you would have: Which is short of your goal. So the question becomes what do I need to invest for 3 years at 7.5% per annum compounded monthly to achieve $5018.24? In other words, what is the PV of A =$5018.24, 3 years, 7.5%, monthly: For this you need: I'll leave that last little bit of arithmetic to you. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 absolute-value/705335: Solve the absolute value equation. Graph the solution. │3x + 1│ = 11 solutions Answer 434518 by solver91311(17077)   on 2013-01-23 14:57:19 (Show Source): You can put this solution on YOUR website! OR John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 expressions/705336: evaluate 2a2 - 3b/a when a= -3 and b= 21 solutions Answer 434517 by solver91311(17077)   on 2013-01-23 14:53:54 (Show Source): You can put this solution on YOUR website! Replace with and with . Do the arithmetic. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Equations/705338: Think of brand for each product listed below. Then write a brief advertisement for each using any of the 4 techniques. testimonials,appeal to your vanity, bandwagon technique, scientific approach. 1.toothpaste 2. hand lotion 3. cereal 4. hair dye 5. soft drink1 solutions Answer 434516 by solver91311(17077)   on 2013-01-23 14:52:39 (Show Source): You can put this solution on YOUR website! Exactly what does this question have to do with Algebra? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 percentage/705337: on a test a student got 80 percent of the items correct if the students got 56 items correct how many items were on the test1 solutions Answer 434515 by solver91311(17077)   on 2013-01-23 14:51:38 (Show Source): You can put this solution on YOUR website! If is the number of items on the test, then 80% of is 56. Solve for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Travel_Word_Problems/705289: two cars, 243 miles apart, begin driving towards each other on a long straight road. If one car is going 43mph, and the other is traveling at 38mph. At the same time a bird, starting on one car, fliea back and forth between the two cars as they approach each other. If the bird always flies at 52mph and turns around instantly at each car, how far has the bird flown when the cars collide?1 solutions Answer 434514 by solver91311(17077)   on 2013-01-23 14:49:44 (Show Source): You can put this solution on YOUR website! The two cars start out 243 miles apart. They approach each other at 38 plus 43 = 81 miles per hour. Therefore they will collide in exactly 243/81 = 3 hours. If the bird travels at a constant 52 miles per hour for 3 hours, how far does he fly? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/705333: at the waters surface, air exerts 1 atmosphere (atm) of pressure. under water, the pressure increases. The pressure P (atm) varies with depth d(ft) according to the equation P=(d/33)+1. Boyles law says the volume V of air varies inversely with the pressure P. If you hold yur breath the volume of air in your lungs increases as you ascend. when have 4 qt air in lungs at a depth of 66 ft (P=3atm), the air will expand to 6 qt when you reach 33 ft, where P=2atm. * make graph&table to show how volume of air in your lungs varies with depth. * make table&graph to show how volume of air in lungs varies with pressure.. please help!1 solutions Answer 434512 by solver91311(17077)   on 2013-01-23 14:43:24 (Show Source): You can put this solution on YOUR website! Use the two-point form of an equation of a line to derive the volume as a function of depth equation. The two points being (66,4) and (33,6). Then use the two-point form again to derive the volume as a function of pressure equation with the points (3,4) and (2,6). Two Point Form where and are the coordinates of the given points. Once you have done the arithmetic to simplify your equations, a graph and a table is trivial. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Triangles/705334: The lengths of the sides of a triangle are in the extended ratio 3:6:7 . What are two possible sets of side lengths, in inches, for the triangle?1 solutions Answer 434511 by solver91311(17077)   on 2013-01-23 14:38:40 (Show Source): You can put this solution on YOUR website! inches, inches, and inches are all of the possible sets of side lengths for this triangle for . Pick any value you like for except zero then calculate your first set of lengths. Then pick a different value for and calculate your second set. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Mixture_Word_Problems/705332: I have 275 gallon tank and it takes 24oz of salt per 1 gallon. How many pounds of salt will I need for the 275 gallon tank??1 solutions Answer 434510 by solver91311(17077)   on 2013-01-23 14:34:04 (Show Source): You can put this solution on YOUR website! Each of the 275 gallons of water takes 24 oz of salt, so 275 times 24 gives you the number of ounces of salt you need. Divide that by the number of ounces in a pound to get the number of pounds you need. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Percentage-and-ratio-word-problems/705296: if three students share $180 in the ratio 1:2:3 how much is the largest share?1 solutions Answer 434509 by solver91311(17077) on 2013-01-23 14:31:33 (Show Source): You can put this solution on YOUR website! If the ratio is 1:2:3, then there are 6 shares, 1 + 2 + 3. Divide the total amount by the number of shares, then give one share to the first guy, two shares to the second guy, and three shares to the last guy. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Linear-systems/705331: solve using elimination method x+y=2000 0.06x+0.08y=1441 solutions Answer 434508 by solver91311(17077) on 2013-01-23 14:28:28 (Show Source): You can put this solution on YOUR website! Multiply the first equation by -0.06. Add the two equations eliminating the variable (because -0.06x + 0.06x = 0). Solve the resulting single variable equation in for . Substitute back into the original equation 1. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Proportions/705307: I am not sure if this question is in the right area, but it is a question that I have in biology lab. It's calculating the number of grams needed of media necessary and the question is: The label of the medium calls for 30g/liter. You only have 7.5g of powdered medium available. How much re-hydrated media will that make? 1 solutions Answer 434507 by solver91311(17077) on 2013-01-23 14:24:38 (Show Source): You can put this solution on YOUR website! Use a proportion: One liter to 30 grams equals x liters to 7.5 grams. Solve for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Complex_Numbers/705329: 3/5-11i Type an interger and a simplified fraction has to be in a=bi form1 solutions Answer 434503 by solver91311(17077) on 2013-01-23 14:20:18 (Show Source): You can put this solution on YOUR website! What is an interger? And did you mean or ? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Probability-and-statistics/705319: pick a block of 4 digits from a random-digit table. What is that probability that the blocked picked is less that 2000?1 solutions Answer 434502 by solver91311(17077) on 2013-01-23 14:14:53 (Show Source): You can put this solution on YOUR website! There are 10,000 possibilities, 0000 through 9999 and 2,000 that would be considered successful, 0000 through 1999. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/705324: Okay here is a problem I'm even sure how to start. Please help! On-Time Airlines assigns a lowercase six-letter "record locator" to each reservation. Two such record locators are efftsf and rgftpz. The airline takes 100 million reservations every year. What is the greatest number of full years for which the airline can operate before having to reuse a record locator? Express your answer to the nearest whole number.1 solutions Answer 434500 by solver91311(17077) on 2013-01-23 14:09:30 (Show Source): You can put this solution on YOUR website! Calculate . Divide the result by . Round to the nearest whole number. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  absolute-value/704840: Find the values of x in the following equation: 4|-5x + -2| + -6 = 182 x = -9.5 or x = -8.7 x = -9.5 or x = 8.7 x = -9.8 or x = 9 x = -9 or x = 9.8 12. Find the values of x in the following equation: 4|x + 5| + -6 = 34 x = -15 or x = 5 x = -5 or x = 15 x = -12 or x = 5 x = -5 or x = 12 13. Find the values of x in the following equation: 5|2x + 1| + -5 = 80 x = -8 or x = 8 x = -8 or x = 9 x = -6 or x = 8 x = -9 or x = 8 14. Find the values of x in the following inequality: |8x + 2| ≤ 38 -5 ≤ x ≤ 4.5 -4.5 ≤ x ≤ 5 x ≤ -5 or x ≥ 4.5 x ≤ -4.5 or x ≥ 5 15. Find the values of x in the following inequality: |4x + 9| > 45 -9 < x < 13.5 x < -13.5 or x > 9 x < -9 or x > 13.5 -13.5 < x < 9 16. Find the values of x in the following inequality: |4x + 3| > 25 -7 < x < 5.5 -5.5 < x < 7 x < -7 or x > 5.5 x < -5.5 or x > 7 17. Find the values of x in the following inequality: |-6x + 3| ≥ 39 x ≤ -7 or x ≥ 6 -6 ≤ x ≤ 7 -7 ≤ x ≤ 6 x ≤ -6 or x ≥ 7 18. Find the values of x in the following inequality: |-2x + 8| < 20 -14 < x < 6 x < -6 or x > 14 -6 < x < 14 x < -6 or x > 14 Part 3 Select the best answer from the choices provided. (Each question is worth one point) 19. Which of the following graphs is the solution to the inequality? |-3x + 9| < 24 20. Which of the following graphs is the solution to the inequality? |8x + 1| > 23 21. Which of the following graphs is the solution to the inequality? |-5x + 10| ≤ 25 22. Which of the following graphs is the solution to the inequality? |-8x + -8| < 48 1 solutions Answer 434347 by solver91311(17077) on 2013-01-22 16:14:49 (Show Source): You can put this solution on YOUR website! Apparently you did not understand the instructions for posting. We don't do entire assignments for people. You post ONE question, you tell what it is that is giving you difficulty about THAT question, and you show what you have tried already. THEN you may get an answer. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Volume/704895: a cylinder canister holds three tennis balls they have the same diameter as the cylinder which is 6cm.and that the balls come straight up to the top about how much space in the cylinder is not taken up by the tennis balls? 1 solutions Answer 434340 by solver91311(17077) on 2013-01-22 16:05:39 (Show Source): You can put this solution on YOUR website! The volume of a sphere (one of the tennis balls) is given by . Using half the given diameter as the radius of one of the balls, calculate the volume of a tennis ball and multiply it by 3. Then, using the fact that balls fill the can completely to the top, the height of the can must be three times the diameter of one of the balls, and the formula for the volume of a cylinder, , calculate the volume of the cylinder. Then subtract the volume of the three balls from the volume of the cylinder. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Square-cubic-other-roots/704871: how do i get from this step to this step I dont understand how they got from step 1 to 2 1) z to the 4th power + z to the second power + 1 2) z to the 4th power + 2z to the second power + 1 - z to the second power Dont unserstand how they get from 1) to 2)1 solutions Answer 434317 by solver91311(17077) on 2013-01-22 15:24:19 (Show Source): You can put this solution on YOUR website! The only thing you can add to something and not change the value of the original expression is zero. But , so replace the zero with Then collect like terms: John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Angles/704893: if the slope of ab is 3/4, and the slope of cd is x-2/12, and they are parallel, what is the value of x? 1 solutions Answer 434305 by solver91311(17077) on 2013-01-22 15:10:13 (Show Source): You can put this solution on YOUR website! Parallel lines have equal slopes. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Graphs/704862: Which of the following points lie in the solution set to the following system of inequalities? y x - 5 y -x - 4 1 solutions Answer 434304 by solver91311(17077) on 2013-01-22 15:07:20 (Show Source): You can put this solution on YOUR website! You might want to put some inequality symbols in this and then repost. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Rectangles/704854: A RECTAGLE HAS AN AREA OF 24CM2.THE LENGTH OF ONE SIDE IS 8CM.WHAT IS THE PERIMETER OF THE RECTANGLE?1 solutions Answer 434299 by solver91311(17077) on 2013-01-22 13:40:11 (Show Source): You can put this solution on YOUR website! Turn off your Caps Lock and then repost. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Money_Word_Problems/704858: You invested$7000 in two accounts paying 6% and 8% annual interest. If the total interest earned for the year was $520, how much was invested at each rate? I know the answers are$2000 and $5000 respectively, but I don't know how they got those answers. I don't know where to start for the equation.1 solutions Answer 434296 by solver91311(17077) on 2013-01-22 13:34:55 (Show Source): You can put this solution on YOUR website! Let represent the amount invested in the 8% account. Then the amount invested in the 6% account has to be . The amount of interest earned on the 8% account is then and the amount earned on the 6% account is . Finally, the sum of these two amounts has to be$520, so: Solve for then calculate John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Quadratic_Equations/703344: CAN YOU HELP ME WITH THE FOLOWING PROBLEM? 3^2*4-6+(10-4)^3/21 solutions Answer 433455 by solver91311(17077)   on 2013-01-17 15:06:41 (Show Source): You can put this solution on YOUR website! Turn off your Caps Lock and re-post. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Word_Problems_With_Coins/703332: Ann, Betty, and Carol dedice to do some fancy swapping of their money. First, Ann doubles Betty's money and doubles Carol's money, by giving each of them of of her own money. In other words, Ann gives as much money to Betty and to carol as each of them already has. Then Betty follows the same set of rules. She gives Ann as much money as Ann has at that time, and gives Carol as much money as Carol has at that time. Finally, Carol executes the same algorithm. She matches Ann's then-current money, and likewise matches Betty's then current noney. FINAL RESULT: Each woman ends up with eight dollars. NOTE: The total is fixed. No money comes into, or leaves, the group during these exchanges. QUESTION: How much money did each women start with?1 solutions Answer 433453 by solver91311(17077)   on 2013-01-17 15:04:41 (Show Source): You can put this solution on YOUR website! Let be the amount Alice has just before the final swap, and let be the amount that Betty has just before the final swap, Then, since Carol is going to give to Alice and to Betty, and retain 8 dollars for herself, she must, just before the final swap, have . So after the final swap, when each will have 8 dollars, Alice has and Betty has . Therefore and Now we can make a table of values going backwards:  Alice Betty Carol After 3rd Swap: 8 8 8 Before 3rd Swap: 4 4 16 (Because Carol must have 8 left after she gives 4 to each of A and B) Before 2nd Swap 2 14 8 (Because Betty must have 2 to give to A and 8 to give to C) Before 1st Swap 13 7 4 (Because Alice must have 7 to give to B and 4 to give to C)  John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/703336: How many years will it take for a $100 investment to grow to$700 if it is compounded continuously at a rate of 9%? A(t)= P*e^rt 1 solutions Answer 433448 by solver91311(17077)   on 2013-01-17 14:39:58 (Show Source): You can put this solution on YOUR website! If 100 grows to 700, then A divided by P is 7. Solve for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/703328: four more than two times a number is eight less than six times the same number . What is the number?1 solutions Answer 433439 by solver91311(17077)   on 2013-01-17 14:30:03 (Show Source): You can put this solution on YOUR website! Type I error is incorrectly rejecting a null hypothesis that is actually true. Example: Someone makes the claim that the mean rejection rate of hypertel blivots manufactured on Tuesday is 2 rejections per 100 manufactured. You perform an analysis of the data and conclude that the actual mean rejection rate is different than 2 per 100 by a statistically significant amount so you reject the null hypothesis that the mean is actually equal to 2 per 100. However, the mean actually IS 2 per 100. Therefore you have made a Type I error. Type II error is incorrectly accepting a null hypothesis that is actually false. In the above example, you make the same null hypothesis and perform the analysis. Your analysis leads you to accept the 2 per 100 mean, but the mean rejection rate is actually different from 2 per 100. Note, neither of thes errors necessarily has anything to do with whether or not you performed the mathematics correctly. Incorrect analysis and/or mathematics COULD be a source of either type of error, but so could random errors in your data sampling. You can also say that a Type I error (aka error of the first kind) is the same as convicting an innocent person, while a Type II error (aka error of the second kind) is the same as letting a guily person go free. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/703320: Under what market conditions will a bond’s price be lower than par value? Higher? 1 solutions Answer 433431 by solver91311(17077)   on 2013-01-17 14:17:20 (Show Source): You can put this solution on YOUR website! Ask your finance and investment questions on a website that deals with these subjects. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 expressions/703304: 4(3x+2)-(x+5)=-3 how do I solve this for x1 solutions Answer 433429 by solver91311(17077)   on 2013-01-17 14:14:12 (Show Source): You can put this solution on YOUR website! Distribute the 4 across (3x + 2), then distribute the -1 across the (x + 5). Then add the opposite of any constant terms that are in the LHS so that all of the constants are in the RHS leaving the variable terms in the LHS, collect like terms, and finally multiply by the reciprocal of the coefficient on the variable. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/703049: twenty-three minus a number is 421 solutions Answer 433279 by solver91311(17077)   on 2013-01-16 19:39:43 (Show Source): You can put this solution on YOUR website! What a fascinating little fact. Did you have a question about it? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Divisibility_and_Prime_Numbers/703048: What two prime numbers can be multiplied to get the result of 316?1 solutions Answer 433278 by solver91311(17077)   on 2013-01-16 19:38:54 (Show Source): You can put this solution on YOUR website! Can't be done. 316 has 3 prime factors, namely 2, 2, and 79. Once you multiply any two of them together, you have a composite number to multiply by the other prime number. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it