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# Recent problems solved by 'Earlsdon'

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 Problems-with-consecutive-odd-even-integers/214424: find four consecutive even integers whose sum is -36 1 solutions Answer 161961 by Earlsdon(6287)   on 2009-09-17 14:02:38 (Show Source): You can put this solution on YOUR website!Try: x+(x+2)+(x+4)+(x+6) = -36 4x+12 = -36 4x = -48 x = -12 x+2 = -10 x+4 = -8 x+6 = -6 The four even integers are: -12, -10, -8, and -6
 Volume/214407: A rectangular block of wood has following dimensions : 10.0 cm x 5.00 cm x 4.00 cm. The block weighs 100g . What is density of the block of wood?1 solutions Answer 161948 by Earlsdon(6287)   on 2009-09-17 12:28:00 (Show Source): You can put this solution on YOUR website!First find the volume of the block of wood. Substitute: L = 10, W = 5, and h = 4. cu.cm. Density (D) is defined as mass (weight) over volume or gms/cu.cm gms/cu.cm .Simplify.. gms/cu.cm.
 Graphs/214408: How do you interpret the solution of a system of equations by the corresponding graph? 1 solutions Answer 161947 by Earlsdon(6287)   on 2009-09-17 12:20:08 (Show Source): You can put this solution on YOUR website!The solution of a system of equations is represented on the graph of the equations by the intersection of their curves or lines.
 Permutations/214345: can you help me solve this problem sir.... 1.) In order to encourage his son to study mathematics, a father agrees to pay his boy 50 centavos for every problem correctly solved, and to fine him 25 centavos for each incorrect solution.At the end of 30 problems neither owed anything to the other.How many did the boy solved correctly? 1 solutions Answer 161946 by Earlsdon(6287)   on 2009-09-17 12:17:39 (Show Source): You can put this solution on YOUR website!Let x = the number of problems solved correctly and y = the number of problems solved incorrectly. We can express the problem algebraically in the two equations as: 1). "...50 centavos for each problem correctly solved (x) and ...fine him 25 centavos for each incorrect solution (y)." 2). The number of problems = 30. Rearrange this as: and substitute into the first equation. 1a). Simplify. 1b). 1c). Add 75y to both sides. 1d). Divide both sides by 75. 1e). and: The boy solved 10 of the problems correctly.
 Functions/214404: Please show the steps for the 5.6/x = 2.6 I know the answer is 2 but am not sure the steps to show the work. I am trying to explain this to a study group1 solutions Answer 161943 by Earlsdon(6287)   on 2009-09-17 11:56:59 (Show Source): You can put this solution on YOUR website!Solve for x: Multiply both sides by x. Divide both sides by 2.6 Evaluate.
 Equations/214359: s=(n)/(2)[2a+(n-1)d] make d subject of formula1 solutions Answer 161942 by Earlsdon(6287)   on 2009-09-17 11:54:03 (Show Source): You can put this solution on YOUR website! Multiply both sides by Subtract 2a from both sides. Simplify the left side. Divide both sides by Simplify the left side.
 Proportions/214360: the number of employees in company A,B,C are in ratio of 4:5:6espectively. if number of employees in 3 companies is increased by 25%,30%,50%. wat will be the new ratio of employees in A,B,C1 solutions Answer 161940 by Earlsdon(6287)   on 2009-09-17 11:42:40 (Show Source): You can put this solution on YOUR website!Starting with he given ratios: 4:5:6, increase each one of these by the given amounts: (4+0.25(4)):(5+0.3(5)):(6+0.5(6)) (4+1):(5+1.5):(6+3) 5:6.5:9 These would be the new ratios.
 Miscellaneous_Word_Problems/214400: Four people buy a large pizza of (X) pieces. If they split it evenly, how many pieces will each eat? My question to this is not the answer=x/4, but why can't it be 4/x? Why does it have to be a certain way. I am confused!!! Help ...1 solutions Answer 161938 by Earlsdon(6287)   on 2009-09-17 11:35:23 (Show Source): You can put this solution on YOUR website!Would you agree that if the pizza had been cut into 12 equal-sized pieces and then divided evenly among four people, that each person would get three pieces? You get the answer to this by dividing the number of pieces (12) by the number of people (4): If the number of pieces into which the pizza has been divided is not known (x) and there are four people sharing the pizza, then each person would get: The number of pieces into which the pizza has been cut divided by the number of people sharing the pizza.
 Quadratic_Equations/214324: This question is from textbook algebra 2 1 solutions Answer 161886 by Earlsdon(6287)   on 2009-09-16 22:59:32 (Show Source): You can put this solution on YOUR website! Divide both sides by 2. Expand the left side. Subtract 4 from both sides. Factor. or
 Exponents/214312: x to the fourth power plus 3x squared minus 101 solutions Answer 161885 by Earlsdon(6287)   on 2009-09-16 22:51:21 (Show Source): You can put this solution on YOUR website!'Twould help a lot if you were to explain what would like done to this expression! If you want to solve for x, then you have to make an equation out this expression by setting it equal to something. For example, you could solve for x if you set the expression equal to zero, say. Group the x-terms as shown: Now factor this: which means that: or so that: or or or
 percentage/214317: Janes total grocery bill including tax was \$51.23.There is a 9% sales tax on groceries. How did the goods cost without tax?1 solutions Answer 161883 by Earlsdon(6287)   on 2009-09-16 22:34:53 (Show Source): You can put this solution on YOUR website!Let x = the cost of the goods before tax, then: x+0.09x = \$51.23 Factor out x on the left side. 1.09x = \$51.23 Divide both sides by 1.09 x = \$47.00
 Mixture_Word_Problems/214314: I am having a hard time trying to figure this problem out. It would be greatly appreciated if you could assist me. This question is from a work book not the text book: Brass is an alloy made up of copper and zinc in varying proportions. How much brass containing 75.5% copper must be combined with a different brass containing 86.3% copper to make 5250kg of brass containing 80.0% copper Thanks so much,1 solutions Answer 161882 by Earlsdon(6287)   on 2009-09-16 22:27:01 (Show Source): You can put this solution on YOUR website!One way to approach these kinds of problems is to write down the amounts of copper (Cu) there are in the different brass alloys. Let x = the amount of the brass with 75.5% Cu. The amount of amount of Cu in x kgs of this alloy can be expressed as: kg of Cu. The amount of Cu in the other 86.3% Cu-brass alloy can be expressed as: kg. of Cu. The sum of these two amounts is to equal 5250 kg of 80% Cu-brass. So we can write the equation to find x. Simplify and solve for x. Subtract 4530.75 from both sides. Divide both sides by -0.108 kg of the brass with 75.5% Cu.
 Exponents/214313: 8x cubed minus 125y cubed1 solutions Answer 161878 by Earlsdon(6287)   on 2009-09-16 22:06:11 (Show Source): You can put this solution on YOUR website!Simplify?: Do you recognize this as the difference of two cubes? The difference of two cubes can be factored thus: so...
 Geometry_Word_Problems/214306: find the number of degrees in an interior angle, a central angle, and an exterior angle of the regular polygon named. Hexagon. I really do not have a clue what I am doing here.1 solutions Answer 161876 by Earlsdon(6287)   on 2009-09-16 21:57:10 (Show Source): You can put this solution on YOUR website!Find the interior angle, the central angle, and the exterior angle of a regular hexagon. A hexagon is a polygon having six sides. The interior angle of a regular polygon of n sides is given by: degrees. In this problem, n = 6, so... degrees. Evaluate. degrees. The exterior angle is just the supplement of the interior angle, so... degrees. The central angle is:
 Linear-equations/214303: I have a homework assignment and I need an example of one so I can answer the rest of the questions. Find the line passing through the following pairs of points? (3, 11) (6, 20) Can you please show me how to figure these kind of questions out. Thanks 1 solutions Answer 161871 by Earlsdon(6287)   on 2009-09-16 21:43:45 (Show Source): You can put this solution on YOUR website!Find the equation of the line that passes through the two points (3,11) and (6,20) Since you don't specify the form of equation you need, I'll assume that the "slope-intercept" form (y = mx+b) is acceptable. Start by finding the slope (m) of the line using the two given points. where:, , , and Making the appropriate substitutions, we get: So you can start out with: To find the value of b, the y-intercept, substitute the x- and y-coordinates of either one of the two given points. Using the first point (3,11) we have: Subtract 9 from both sides. The final equation is:
 Length-and-distance/214110: In Japan, to get on a train you are not allowed to have an object over the length of 36 inches. How did a man get on a train with a ceremonial sword of 42 inches long?1 solutions Answer 161717 by Earlsdon(6287)   on 2009-09-16 11:53:09 (Show Source): You can put this solution on YOUR website!The man could package the 42-inch sword in a flat box whose dimensions are: h = 36 inches, w = 22 inches, and depth of, say, 2 inches. Why would this work? Let's say that sword is placed in the flat box so that it lies along the diagonal of the box. So with a diagonal of 42 inches, a height of 36 inches, and a width of 22 inches, we can see, from the Pythagorean theorem, that the sword would fit inside the box and the box would not exceed 36 inches in length. c = the diagonal (length of the sword), a = 36 (the length of the box) and b = 22 (the width of the box). The actual width of the box really need be only 21.6 inches but I rounded up the nearest inch.
 Functions/214107: I am having trouble with the following Find the x and y intercept for 2x - y = 5 1 solutions Answer 161714 by Earlsdon(6287)   on 2009-09-16 11:34:41 (Show Source): You can put this solution on YOUR website!Find the x- and y-intercepts for: The way to find th x-intercept is to set y=0 and solve for x. Similarly, the way to find the y-intercept is to set x=0 and solve for y. Set x=0. Multiply both sides by -1. The y-intercept is at (0, -5). Set y=o. Divide both sides by 2. The x-intercept is at (5/2, 0) Confirm this on the graph of this equation:
 Equations/213985: This question is from textbook kirra is two years older then reggie. reggie is six times as old as delia. the average of their ages is nine years and four months. how old is each of them?1 solutions Answer 161631 by Earlsdon(6287)   on 2009-09-15 20:53:29 (Show Source): You can put this solution on YOUR website!Let K = Kirra's age, R = Reggie's age, and D = Delia's age. K = R+2 "Kirra is two years older than Reggie." Rewrite as K = R-2 R = 6D "Reggie is six times as old as Delia." K+R+D can be expressed as: Simplify. Multiply both sides by 3. Subtract 2 from both sides. Divide by 13. Kirra is 14 years old, Reggie is 12 years old and Delia is 2 years old.
 Linear-equations/213987: The problem is 1 solutions Answer 161628 by Earlsdon(6287)   on 2009-09-15 20:35:22 (Show Source): You can put this solution on YOUR website!What is the problem?
 Polynomials-and-rational-expressions/213783: This question is from textbook Structure and Method Book 1 x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?1 solutions Answer 161505 by Earlsdon(6287)   on 2009-09-15 11:22:06 (Show Source): You can put this solution on YOUR website!This can be expressed as: where k is the contant of variation. To find out what happens to x when s is doubled, substitute s = 2s. Substitute X quadruples when s is doubled. TO find out what happens to x when both s and t are doubled, substitute s = 2s and t = 2t. Substitute x is doubled when both s and t are doubled.
 Circles/213392: Area of circular ring A=2pi(P)(w) Solve for P Find P given A=22cm^ and w=2cm1 solutions Answer 161434 by Earlsdon(6287)   on 2009-09-14 21:52:44 (Show Source): You can put this solution on YOUR website! Solve for P: Divide both sides by For A = 22sq.cm and w = 2cm,
 Radicals/213628: please help me simplify this radical. the square root of five sixths and the square root of 5 over 2. thank you1 solutions Answer 161427 by Earlsdon(6287)   on 2009-09-14 21:37:05 (Show Source): You can put this solution on YOUR website!Simplify: Multiply by Simplify: Multiply by
 Travel_Word_Problems/213670: This question is from textbook The university of chicago school mathematics project How long will it take a cheetah to run 100 yards at top speed which is 70 miles per hour.1 solutions Answer 161425 by Earlsdon(6287)   on 2009-09-14 21:29:27 (Show Source): You can put this solution on YOUR website!Using substitute d = 100 yds, r = (1760yds/mi)70mi/hr = 123200yds/hr. hrs. hrs. Multiply by 60 to get minutes. minutes. For seconds, multiply by 60. seconds.
 Coordinate-system/213497: This question is from textbook Factor using the perfect square trinomial formula y^2 - 12y + 361 solutions Answer 161295 by Earlsdon(6287)   on 2009-09-14 14:41:21 (Show Source): You can put this solution on YOUR website!Factor: =
 Inequalities/213496: |x+6|=21 solutions Answer 161294 by Earlsdon(6287)   on 2009-09-14 14:40:03 (Show Source): You can put this solution on YOUR website!Solve: Remove the absolute-value bars. or Subtract 6 from both sides on each equation. or
 Inequalities/213499: 4-|3x+1|<21 solutions Answer 161293 by Earlsdon(6287)   on 2009-09-14 14:36:51 (Show Source): You can put this solution on YOUR website! Subtract 4 from both sides. Multiply both sides by -1, remembering to reverse the inequality sign. Remove the absolute-value bars. or Subtract 1 from both sides on each inequality. or Divide both sides by 3. or
 Coordinate-system/213490: This question is from textbook Factor using the perfect square trinomial formula 9x^2 + 6x + 11 solutions Answer 161286 by Earlsdon(6287)   on 2009-09-14 13:51:47 (Show Source): You can put this solution on YOUR website!Factor: =
 decimal-numbers/213491: which number is smaller, 13.2 or 13.191 solutions Answer 161285 by Earlsdon(6287)   on 2009-09-14 13:50:02 (Show Source): You can put this solution on YOUR website!Compare them this way! Going right from the decimal point, the 1 is smaller than the 2, so is smaller than
 Square-cubic-other-roots/213475: I don't know how to enter the square root symbol on the computer so I am just going to put into words. MULTIPLY PROPERTY OF RADICALS TO SIMPLIFY 5 square root of 181 solutions Answer 161267 by Earlsdon(6287)   on 2009-09-14 12:04:17 (Show Source): You can put this solution on YOUR website!Simplify: ==
 Percentage-and-ratio-word-problems/213462: Have tried repeatedly and can't figure this out. Please help. If Sue can fill a swimming pool in 30 mins., Paul can fill it in 45 mins. and Bob can fill the pool in 1hr.30 mins., How long would it take them to fill the pool if they all worked together?1 solutions Answer 161255 by Earlsdon(6287)   on 2009-09-14 11:09:25 (Show Source): You can put this solution on YOUR website!You can start this problem by finding the rate (how much can be done in one minute) for each of the participants. If Sue can fill the pool in 30 minutes, then she can fill of the pool in 1 minute. If Paul can fill the pool in 45 minutes, then he can fill of the pool in 1 minute. If Bob can fill the pool in 90 minutes, then he can fill of the pool in 1 minutes. So in 1 minute, working together, they can fill: = of the pool. If they can fill of the pool in 1 minute, then it will take them 15 minutes to fill the entire pool.
 test/213339: if i purchased \$45.40 worth of petrol at \$1.49 pre litre how many litres did i buy? 1 solutions Answer 161169 by Earlsdon(6287)   on 2009-09-13 20:46:17 (Show Source): You can put this solution on YOUR website!You will need to divide your total cost (\$45.40) by the cost per litre (\$1.49) to find the number of litres purchased. litres I would round that up to litres.