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# Recent problems solved by 'Earlsdon'

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 Numbers_Word_Problems/12054: Double the no. and subtracting it from 35 will result in triple the value of the no.What is the no? 1 solutions Answer 6133 by Earlsdon(6291)   on 2005-09-21 11:49:31 (Show Source): You can put this solution on YOUR website!Again, let n be the number. You can write, from the description: Add 2n to both sides. Divide both sides by 5. The number is: 7. Check: = 21 And this is 3(7)
 Numbers_Word_Problems/12055: Two-fifths of a certain no. decreased by three-fourths is equal to seven-eights. What is the no.? 1 solutions Answer 6132 by Earlsdon(6291)   on 2005-09-21 11:42:07 (Show Source): You can put this solution on YOUR website!Let n be the number you are looking for. From the description, you can write: Let's clear the fractions by multiplying through by the common denominator of 40. Add 30 to both sides. Divide both sides by 16. = 4 1/16 The number is: 4 1/16 That's 4 and 1/16 Check: = 7/8
 Age_Word_Problems/12056: The sum of the ages of the First year Math. teacher is 50 19 years ago from now.Ms. Santos' age will be twice the age of Ms. Valdez present age. How old are they now? 1 solutions Answer 6131 by Earlsdon(6291)   on 2005-09-21 11:25:13 (Show Source): You can put this solution on YOUR website!We'll let S be Ms. Santos' present age and V be Ms. Valdez's present age. At present: 1) S + V = 50 The sum of their ages is 50. 19 years from now: 2) S + 19 = 2V In 19 years, Ms. Santos will be twice Ms. Valdez present age. Rewrite equation 1) as: V = 50 - S Multiply both sides by 2 because you want to get 2V. 2V = 2(50 - S) = 100 - 2S Now substitute this for the 2V in equation 2). 2) S + 19 = 100 - 2S Solve this for S. Add 2S to both sides. 3S + 19 = 100 Subtract 19 from both sides. 3S = 81 Finally, divide both sides by 3. S = 27 Ms. Santos' present age is 27 years V = 50 - S V = 50 - 27 v = 23 Ms. Valdez's present age is 23 years.
 Volume/11989: 7,800g=_ kg? _ liters =240kl ? could you please show me how to convert these problems?1 solutions Answer 6094 by Earlsdon(6291)   on 2005-09-20 19:19:13 (Show Source): You can put this solution on YOUR website!Remember! Kilo = 1,000 So, 1 kilogram = 1,000 grams or 1 gm = 1/1,000 Kg (7,800g )/(1,000g/Kg) = 7.8 Kg Similarly for liters. 1 Kiloliter = 1,000 liters or 1 liter = 1/1,000 Kl. 240 Kl = 240 Kl (1,000 l/Kl) = 240,000 liters
 Graphs/11973: very new at algebra. trying to do this problem, not sure if correct. Will show how we did it. The steps are hard to figure out. Need your help please. Don't know enough about algebra to know if we even typed in the correct topic. 7m(-3n)+3m(-4n) (10m)(12n) I am the mom, so if you could help, it would be appreciated.1 solutions Answer 6092 by Earlsdon(6291)   on 2005-09-20 19:10:05 (Show Source): You can put this solution on YOUR website!I'm presuming that you have to "simplify" the given expressions. Simplify: Apply the "distibutive property" (Check your math book if you are not familiar with this.) First do: Multiply the 7 and (-3) to get -21, then m times n = mn, finally, -21 times mn = -21mn Repeat this for the second term: Multiply 3 times (-4) to get -12, then m times n = mn, finally, -12 timed mn = -12mn. You will now have and when you add these two negative quantities you will get -33mn. Second problem is handled in exactly the same way. Multiply 10 by 12 to get 120, then m times n = mn, finally, 120 times mn = 120mn
 Distributive-associative-commutative-properties/11978: how would you solve a problem like -x(3/7+y)1 solutions Answer 6090 by Earlsdon(6291)   on 2005-09-20 18:50:52 (Show Source): You can put this solution on YOUR website!There is really nothing to solve here! You have an algebraic expression and, unless you are given the values for x and y, you cannot evaluate it. To "solve" this, it would have to be an "equation" in which the "expression" you have is equal (=) to something. But, no equals, no equation. The only thing that you can do is to "simplify" this expression by applying the "distributive property". Is this what you wanted? Simplify: Apply the distributive property.
 Inverses/11975: To whomever answers this question you will need a pencil and paper to draw this problem out! so that you can see exactly what my circle looks like. 1.draw a small round circle. 2.draw a horozontal dine throuhg the middle. 3.put a dot in the middle of the circle. 4.write 4in. over the dot. Now your circle looks exactly like mine. Now here is the question..... Find the circumference of the circle at the right.Now the circle at the right looks like the circle that I just showed you how to draw. And I don't know how to find the circumference of a circle. So can you pleeze help me understand this question? (Oh and the possible answers to this question are .........12.56in, 6.28in, 1,265in, or none of these) 1 solutions Answer 6087 by Earlsdon(6291)   on 2005-09-20 18:45:59 (Show Source): You can put this solution on YOUR website!While a diagram is useful for many siuations, in this case, all you really needed to say was...Find the circumference of a circle with a diameter of 4 inches. By the way, all circles are round! The circumference of a circle is given by the formula: where D is the length of the diameter (4 inches) (the straight line through the center and terminting on the edges of the circle) and approximately. The circumference of the circle is 12.56 inches.
 Mixture_Word_Problems/11889: Pleased help me sir.... How many grams of an alloy containing 35% nickel must be melted with an alloy containing 65% nickel in order to obtain 20 grams of an alloy containing 41% nickel?1 solutions Answer 6080 by Earlsdon(6291)   on 2005-09-20 11:27:09 (Show Source): You can put this solution on YOUR website!After changing the percentages to decimals, you can set up your equation as follows: x = number of grams of the 35% Ni alloy. (35% = 0.35, 65% = 0.65, 41% = 0.41) Simplify and solve for x. Subtract 13 from both sides. Divide both sides by -0.3 16 grams of 35% Ni alloy are required.
 Divisibility_and_Prime_Numbers/11896: write each number as a product of prime numbers a) 720 1 solutions Answer 6078 by Earlsdon(6291)   on 2005-09-20 11:10:55 (Show Source): You can put this solution on YOUR website!Try this! 720 = 2 * 360 360 = 2 * 180 180 = 2 * 90 90 = 2 * 45 45 = 3 * 15 15 = 3 * 5 5 = 5 * 1 So 720 = 2*2*2*2*3*3*5 Notice that all the factors are prime numbers. You can also write this as:
 Expressions-with-variables/11897: Write the algebraic expression that corresponds to the sum of a number and 8.1 solutions Answer 6077 by Earlsdon(6291)   on 2005-09-20 10:59:07 (Show Source): You can put this solution on YOUR website!You can do this! Translate right from the description. The sum of a number (add to n) and 8. That's n + 8
 Expressions-with-variables/11890: In the expression (-2)^5, the 5 is called the ______________, and the -2 is called the _____________________.1 solutions Answer 6076 by Earlsdon(6291)   on 2005-09-20 10:55:58 (Show Source): You can put this solution on YOUR website!Here's the rule: In , x is the base and n is the exponent. In your problem: , (-2) is the base and 5 is the exponent.
 Equations/11821: I am not sure were this question belongs but I need an algebraic expression that give the area of a circle witha circumfernce c. Here is the kicker I can't have any equal signs (=) or have diameter (d) in any part of the answer. The only hint I have to go off of is Hint: The circumference of a circle with radius r is 2*pi*r, and its area is pi*r^2. 1 solutions Answer 6038 by Earlsdon(6291)   on 2005-09-19 21:57:24 (Show Source): You can put this solution on YOUR website!Ok, since you have been asked for an "expression", there wouldn'tbe any = signs any because "expressions" don't have = signs. Let's write an expression for the area of a circle: But you need it in terms of c, the circumference. Let's write an equation for c: Now, solve this for : and, after squaring, substitute this into the expression for the area: Now simplify: This is an expression for the area of a circle in terms of the circumference, c.
 Linear-equations/11799: the question says "state the slope of a line parallel to the line passing through (-1,-1) and (3,2) then state the slope of a line perpendicular to it. now what i did is plot (-1,-1) and (3,2) but i dont know what to do from there. im stuck. i do know the formula to the slope but i dont know if i should use that because it wont tell me the slope of the line parallel or perpendicular to it. or will it? thank you so much for all your help1 solutions Answer 6034 by Earlsdon(6291)   on 2005-09-19 20:31:47 (Show Source): You can put this solution on YOUR website!You can do this problem with algebra. The key is remembering that parallel lines have identical slopes and perpendicular lines have slopes that are the negative reciprocal of each other. First, find the slope of the line passing through the given points (-1, -1) and (3, 2). You know the formula. The slope of the line passing through the given points is m = 3/4 The slope of a parallel line is also m = 3/4 The slope of a perpendicular line is -4/3
 Exponents-negative-and-fractional/11731: A charged particle moves from 0.2m to 0.5m from a fixed reference point in 0.5us. Find its average speed during that interval (1us=10^-6 s) I tried to figure it out and here is what I did Now I can tell by looking in the answer book that the answer is: m/s when I see this answer I cant help but think not only am I doing it wrong but its probably pretty simple... unfortunately the books guide and examples are not helping me to understand how to do the problem. The reason I am probably not understanding is the book is a introductory caclulus dealing with limits the section I am on is for "instantaneous speed of an object" and I am most likely not remembering how to do something that is covered in earlier maths like algebra. any help or guidance is greatly appreciated.1 solutions Answer 6024 by Earlsdon(6291)   on 2005-09-19 19:44:53 (Show Source): You can put this solution on YOUR website!Well, you got a good start on this. Let's take it step-by-step. At this point I would change completely to scientific notation. Now, I would make the exponents positive by moving them up (or down, as the case may be). Simplify. m/sec.
 Mixture_Word_Problems/11749: I am truly stumped with this one. An alloy weighing 20 kg is 30% copper. How many kg of another alloy, which is 80% copper, must be added in order to produce an alloy which is to be 50% copper? 1 solutions Answer 6019 by Earlsdon(6291)   on 2005-09-19 19:16:59 (Show Source): You can put this solution on YOUR website!Ok, here we go! First change percentages to decimals: 30% = 0.3 80% = 0.8 50% = 0.5 Now you can set up the equation in which x is the number of Kg. of 80% Cu alloy needed. Simplify and solve for x. Subtract 0.5x from both sides. Subtract 6 from both sides. Now divide both sides by 0.3 13.33... Kg of 80% copper alloy are needed.
 Equations/11765: Trying to help my son with a part of math that I wasn't very good with would apreciate the help. Q:What whole numbers can k and m be in the expression 30-(k+m) has a value of 25. Can you please show us the proper solution.1 solutions Answer 6016 by Earlsdon(6291)   on 2005-09-19 19:00:27 (Show Source): You can put this solution on YOUR website!You can start with the equation: Add (k + m) to both sides. Now subtract 25 from both sides. What are the possiblities for k and m? k = 0 & m = 5 or k = 1 & m = 4 or k = 2 & m = 3 or k = 3 & m = 2 or k = 4 & m = 1 or k = 5 & m = 0
 Expressions-with-variables/11760: How do I solve this problem 7n=-35n-6? I did -35n+35=0 42n=-6 n=-7 Please help?1 solutions Answer 6015 by Earlsdon(6291)   on 2005-09-19 18:51:10 (Show Source): You can put this solution on YOUR website!Well, you had the right idea. Add 35n (not just 35 as have shown) to both sides. Now divide both sides by 42. Not -7 as you have shown.
 Travel_Word_Problems/11755: Hi I have a question from my MATH208 class: Abdul is shopping for a new truck in a city with an 8% sales tax. There is also an \$84 title and license fee to pay. He wants to get a good truck and plans to spend at least \$12,000 but no more than \$15,000. What is the price range for the truck? Thanks very much!1 solutions Answer 6014 by Earlsdon(6291)   on 2005-09-19 18:44:53 (Show Source): You can put this solution on YOUR website!Let P be the price the good truck. The low end of the range would be: (\$12,000 + (0.08)(\$12,000) + \$84.00) (\$12,000)(1.08) + \$84.00 = \$12,960 + \$84.00 = \$13,044.00 The high end of the range would be: (\$15,000)(1.08) + \$84.00 = \$16,200 + \$84.00 = \$16,284.00 This can be writen: \$13,044.00 <= P <= \$16,284.000 Including tax & license. (<= means less than or equal to)
 Graphs/11756: A number t increased by the sum of seven and the square of another number s is ten How can i write this question so that it reads as an equation?1 solutions Answer 6013 by Earlsdon(6291)   on 2005-09-19 18:32:17 (Show Source): You can put this solution on YOUR website!Try this:
 Travel_Word_Problems/11711: Your assistance with this would be greatly appreciated. I worked it out or at least I though I did, but my answer isn't on the list. "Two people leave their house at the same time, A-rides north at 12mph, B-rides west at 5mph. Maintaining speed, how far apart after 2 hours of riding." I had: D=RT, D=(12)(2)=24 and D=(5)(2)=10, then 24-10=14. But my choice for answers are: 34, 26, 17, 13 miles apart. 1 solutions Answer 6004 by Earlsdon(6291)   on 2005-09-19 14:24:25 (Show Source): You can put this solution on YOUR website!You started out ok by finding the distance of the two riders from the starting point after two hours of travel. But, since these two are not traveling in a straight line, you cannot simply subtract their distances. What you need to do is to draw a diagram showing one rider going north for 24 miles and the second rider going west for 10 miles. This forms the two legs of a right triangle. Their distance apart at this time is represented by the length of the hypotenuse of this right triangle, so you can use the Pythagorean theorem to calculate this length because you already know the lengths of the two legs. c is the length of the hypotenuse or their distance apart after two hours of riding. Take the square root of both sides. They are 26 miles apart after two hours of riding.
 Travel_Word_Problems/11610: Hello, Here is the question I need to solve to begin with An earthquake emits primary waves moving at 8.0 Km/s and seconday waves moving at 5.0 km/s. How far from the epi-center of the earthquake is the seismic station if the two waves arrive at the station 2.0 min apart. What I could figure out (I think) I was converting time to seconds 2 min = 60x2=120 min and converting km/s to ft/s 8.0km/s x 1000 m =8000m 8000m x 3.281 = 26248 ft/s 5.0km/s x 1000 m = 5000 m 5000m x 3.281 ft = 16405 ft/s I was also trying calculations with d=rt where d= distance r= stands for rate of speed and t= time. Thank you so much to any help or direction you can point me in! 1 solutions Answer 5983 by Earlsdon(6291)   on 2005-09-18 18:35:14 (Show Source): You can put this solution on YOUR website!First, I don't see any need to convert Km to feet. Ok to convert 2 minutes to 120 seconds. For the primary wave: For the secondary wave: But, d1 = d2, so: Simplify and solve for t1. Subtract 5t1 from both sides. Divide both sides by 75. seconds. Substitute this into and solve for d1. Km. Check: Km.
 Quadratic_Equations/11602: In preparation for a party, Heather fills a large jar with gum drops. Before the party begins, Michael see the gum drop jar. He (hoping that no one will realize) takes one-third of the drops. Soon after, Tanya takes one-third of the gum drops (she too hopes that nobody will notice). Finally, Brian appears and, like the others, takes one-third of the gum drops. If forty gum drops are left in the jar, how many did it originally contain?1 solutions Answer 5982 by Earlsdon(6291)   on 2005-09-18 18:19:17 (Show Source): You can put this solution on YOUR website!Let x = the original number of jelly beans in the jar before the pilfering began. After Michael has pinched his third, the number left is: After Tanya's sampling, the number left is: = Finally, after Brian has helped himself to one third, there are 40 jelly beans remaining: Multiply both sides by 27. Divide both sides by 8. There were 135 jelly beans in the jar before the crime. Check: = 90 = 60 = 40
 Distributive-associative-commutative-properties/11585: -36x-10+37x=-12-(-14) I have tried combining like terms but I am afraid that I am not getting the right answer.... -12+14=2 and -36x+37x=1x = -9 ??? I am just confused1 solutions Answer 5973 by Earlsdon(6291)   on 2005-09-18 16:35:20 (Show Source): You can put this solution on YOUR website! Rearrange the equation as follows: Add 10 to both sides.
 Expressions-with-variables/11591: I am very confused on finding the missing number. Finding x. Here is the question -2m=16m-9 here is what i have tried -18m=-9 m=1/2. Can you help?1 solutions Answer 5972 by Earlsdon(6291)   on 2005-09-18 16:30:41 (Show Source): You can put this solution on YOUR website!I can why you are having so much trouble finding x, I can't see it anywhere either. But the good news is, you got the right answer for m, congratulations, you did everything right and m = 1/2 Here's the check: Substitute m = 1/2 Simplify. OK.
 Miscellaneous_Word_Problems/11520: Another one of those problems i cant figure out... can you help? Here it goes: A peasant had the wonderful good fortune to save the life of the King of Siam. The King in turn, granted her payment in any form she wished. "Im a simple woman," said the peasant; "I wish merely to never be hungry again." The peasant asked to have payment made onto a huge chessboard painted on the floor. Payment was to be as follows: one grain of rice on the first square, two grains on the second square, four grains on the third square, eight on the fourth, etc... until all 64 squared were filled. How many grains of rice will the peasant receive from the King? Roughly what volume of rice is this?1 solutions Answer 5971 by Earlsdon(6291)   on 2005-09-18 14:24:47 (Show Source): You can put this solution on YOUR website!This is another version of the legend of King Shiram of India who wanted to reward his grand vizier Sissa Ben Dahir for inventing and presenting to him the game of chess. The clever vizier wanted a grain of wheat on the first square of the chessboard, two grains on the second square, four on the next, and so, doubling the number on each successive square until all of the 64 squares of the chessboard were covered. Well, this works out to be: grains of wheat (or rice, in your problem). = 18,446,744,073,709,551,615 grains of rice. The volume of rice? How do you tell? 5,000,000 grains of rice in a bushel? Around 400 billion bushels of rice!
 Expressions-with-variables/11443: Can you please explain how the equation (2) has been derived from equation (1)? I know the answer is correct, but don't know how to get from one to the other. Equation 1: Equation 2: Many thanks1 solutions Answer 5950 by Earlsdon(6291)   on 2005-09-17 20:46:07 (Show Source): You can put this solution on YOUR website! Add the fractions on the right. Common denominator is xy. Invert both sides.
 Polynomials-and-rational-expressions/11497: (-12c^4)(-1/2c^5) (-2c^2) Please help me solve this problem.1 solutions Answer 5948 by Earlsdon(6291)   on 2005-09-17 20:33:34 (Show Source): You can put this solution on YOUR website! Multiply the numbers:(-12)(-1/2)(-2) = -12 Now, add the exponents since the base (c) is the same in all of the factors. = Finally you get:
 Polynomials-and-rational-expressions/11485: 2 1/3{4/3-2/5(3/4+3/7)} Can anyone help me solve this one.1 solutions Answer 5942 by Earlsdon(6291)   on 2005-09-17 20:08:20 (Show Source): You can put this solution on YOUR website!Simplify: 2 1/3(4/3 - 2/5(3/4 + 3/7)) Start at the innermost parentheses. The common denominator is 28. 2 1/3(4/3 - 2/5(21/28 + 12/28)) 2 1/3(4/3 - 2/5(33/28)) Now do the distributive property on the inside parentheses. 2 1/3(4/3 - 66/140) Now subtract the fractions inside the parentheses. The common denominator is 420. 2 1/3(560/420 - 198/420) 2 /13(362/420) Change 2 1/3 to 7/3 and multiply. 7/3(362/420} 2534/1260 Simplify. 1277/630
 Linear_Equations_And_Systems_Word_Problems/11412: The Smith family took a canoe 10 miles down the Allegheny River in 1 hour and 15 minutes. After lunch it took them 4 hours to return. Find the rate of the current. I have set up a table with: Distance = 10 both upstream and downstream Canoe speed downstream = x + y Canoe speed upstream = x - y Time going downstream = 1 1/4 hour Time going upstream = 4 hours I just keep getting bogged down with the fractions when trying to solve by addition method or substitution method.1 solutions Answer 5940 by Earlsdon(6291)   on 2005-09-17 19:27:19 (Show Source): You can put this solution on YOUR website!Using the distance formuls: where: d = distance (10 miles), r = speed (rate) and t = time. Downstream trip: mph Upstream trip: mph Let x = speed of canoe and y = rate of the current. Downstream: Upstream: Rewrite as: and substitute into the above. Simplify and solve for y. Subtract 2.5 from both sides. Divide both sides by 2. mph is the rate of the current.
 Volume/11393: how do i find the volume of a hexagonal pyramid? The Height is 31'-0" and the sides are 21'-0" apart. Thank you1 solutions Answer 5939 by Earlsdon(6291)   on 2005-09-17 19:01:34 (Show Source): You can put this solution on YOUR website!The volume of a regular pyramid is found by multiplying the area of the base by the height of the pyramid and dividing by 3. B = area of base. You are given the height (31') but I'm having trouble figuring out what you mean by..."the sides are 21' apart" If you know the length of each side of the hexagonal base, you can find its area. Also, if you know the length of the apothem of the hexagonal base, you can find the area. Let's assume that the length of each side of the hexagonal base is 21'. The area of a regular polygon, in terms of the length of the sides, is given by: Where: n = number of sides (6) and s = length of side (21') Now multiply this by the height and divide by 3 to find the volume Cubic feet.