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# Recent problems solved by 'DWL'

 Percentage-and-ratio-word-problems/9916: A tuna can has a diameter of about 8cm and a height of about 3cm.What is the volume of the can?(the possibilites are..........150.72cm^3, 75.36cm^3, 602.93cm^3, or none of these)1 solutions Answer 5347 by DWL(56)   on 2005-09-07 11:55:35 (Show Source): You can put this solution on YOUR website!The volume of a cylinder is where R= the radius H = Height. Pi is a constant. R = 1/2 of the diameter = 8 / 2 = 4 cm H = 3 cm So = 150.72 answer = 150.72
 Numbers_Word_Problems/9923: Mount Everest is the tallest mountain in the world. It is 237 meters higher than K2, the second tallest mountain. If the sum of their heights is 17,459 meters, how tall is each mountain?1 solutions Answer 5346 by DWL(56)   on 2005-09-07 11:36:56 (Show Source): You can put this solution on YOUR website!Ok.... Mount Everest = E Let K2 = K E = K + 237 Sum of both mountains is a total height of 17459 Our eqauation is E + K = 17459 So we subtitue E with (K + 237) so our eqaution now looks like this: Let solve for K Lets combine Terms on the left side of the equation Now Subtract 237 from both sides = Sow we divide both side by 2 = So we now know K2's height is 8,611 Meters So Mount Everest = 8,611 + 237 = 8,848 Meters Check 8,611 + 8,848 = 17,459
 Age_Word_Problems/9805: Show how to find the value of 7 dimes,3 quarters,and 6 nickles. This is a word problem i don't know how to work it or show it...Please help!!!!1 solutions Answer 5291 by DWL(56)   on 2005-09-06 17:47:49 (Show Source): You can put this solution on YOUR website!7*(.10) + 3*(.25) + 6*(.05) = .70 + .75 + .30 = 1.75
 real-numbers/9812: What is the written answer to (-51)/(-17)1 solutions Answer 5286 by DWL(56)   on 2005-09-06 17:33:19 (Show Source): You can put this solution on YOUR website! = 3, a negative divided by a negative is a positive
 Functions/9784: 5y/4-y/2=-3/41 solutions Answer 5274 by DWL(56)   on 2005-09-06 14:49:33 (Show Source): You can put this solution on YOUR website!Ok.. , find common denominator for the right side, by looking at the right side we see it is 4. so: the equation becomes now we combine terms on the right side now we multiply each side by 4 to get reduce to lowest terms we get 3y=3 now divide each side by 3 answer Y=1
 Age_Word_Problems/9726: A is elder to B by two years.A's father F is ttwice as old as A and B is twice as old as his sister S.If the ages of the father and sister differ by forty years.Find the age of A.1 solutions Answer 5255 by DWL(56)   on 2005-09-05 22:48:20 (Show Source): You can put this solution on YOUR website!Ok.. We start with B, B = 2*S A = 2+2*S F= 2(2+2*S) S= 2(2+2*S)-40 We now have the formula for all the ages. Lets solve for S Now we distribute Now we combine Terms Add 36 to each side: = Lets subtract s from each side to get = Now lets divide each side by 3: = So now we Know the Age of the Sister (s) = 12 so we know A = 2 + 2S, so we substitute in the 12 to get 2 + 2*12 = 2 + 24 = 26 so we know A's age is 26 B = 2*S = 2*12=24 So B's Ages is 24 F = 2(2+2*S) = 2(2+2*12) = 4+48 = 52 Check: A is elder to B by two years, yes A=26, B=24 A's father F is twice as old as A, yes A=26 F=52 B is twice as old as his sister S, yes B=24 S=12 father and sister differ by forty years, yes S=12 F=52
 Linear-equations/9517: In a mixture of concrete, there are 3 lb of cement mix for each pound of gravel. If the mixture contains a total of 140 lbs of these two ingredients, how many pounds of gravel are there?1 solutions Answer 5206 by DWL(56)   on 2005-09-04 12:22:33 (Show Source): You can put this solution on YOUR website!Let: x = Cement y = Gravel x + y =140 We also know that the cement is 3 times as much as the gravel, so: x = 3y So now substitute in the equation x + y = 140 and it becomes: Combine Terms Divide both sides by 4 so the Gravel weighs 35 pounds. We know there is 3 pounds of cement for every pound of gravel, so" so the cement = 105. Answer" 35 Lbs. of Gravel 105 Lbs. of Cement
 Distributive-associative-commutative-properties/9458: Please Help! I'm confused. 1. (2/5 + 1/2) divided 3/51 solutions Answer 5178 by DWL(56)   on 2005-09-03 15:31:21 (Show Source): You can put this solution on YOUR website! Find common denomiator to the top part of the equation. This case it is 10. So we take = = Dividing by a fraction is the same as multiplying by the reciprocal of theat fraction so this = = Divide top and bottom by 15 and we get Answer =
 Miscellaneous_Word_Problems/9456: To remain on financial aid, Millie needs to complete an average of at least 7 credits per quarter each year. In the first three quarters of 2001, Millie completed 5,7, and 8 credits. How many credits of course work must Millie complete in the fourth quarter if she is to remain on financial aid?1 solutions Answer 5177 by DWL(56)   on 2005-09-03 15:21:05 (Show Source): You can put this solution on YOUR website!7 credits per quarter = 7 x 4 = 28 She took 5 + 7 + 8 = 20 28 - 20 = 8 she must take 8 credits in the 4th quarter to remain on Financial Aid
 Expressions-with-variables/9445: Math Question: Simple Intrest = Amount of deposit x Interest rate(decimal) x time (years). What is the simple interest earned? deposit \$2000 6.5 Interest 1.5 yrs1 solutions Answer 5173 by DWL(56)   on 2005-09-03 11:43:34 (Show Source): You can put this solution on YOUR website! P is the principal amount, \$2000.00. r is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065. t is the time involved, 1.5....year(s) time periods. So, t is 1.5....year time periods. To find the simple interest, we multiply 2000 × 0.065 × 1.5 to get that: The interest is: \$195.00
 Inequalities/9427: Could I get help with this problem. I have tried to work it but I don't think my answer is right. 0.3x - 0.4 (4-x) = 4.71 solutions Answer 5150 by DWL(56)   on 2005-09-02 22:17:58 (Show Source): You can put this solution on YOUR website!Here you go: Lets first simplify by multiplying: } Here we multiplied each factor in the (4-X)by -.4 Now combine terms: = Now add 1.6 to both sides to get: Now divide both sides by .7 to get Answer X=9
 Inequalities/9423: Could you show me how to slove this problem: (2/7)x = 141 solutions Answer 5143 by DWL(56)   on 2005-09-02 21:02:48 (Show Source): You can put this solution on YOUR website!Sure: Now lets get rid of the by multiplying both sides by So we get this gives us simplify to Amswer = X=49
 Inequalities/9417: Hi - I am a sophmore and I am going to take Algebra2. We have to do a summer math packet and I really can't remember how to do inequalities. Please, please help me with the following problem, so I can remember how to solve the other ones: 3x-2<=-5 or x-1>=0. Thank you !!!!!!!!1 solutions Answer 5142 by DWL(56)   on 2005-09-02 20:54:35 (Show Source): You can put this solution on YOUR website!Solving linear inequalities is very similar to solving linear equations, except for one detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative. Neither of these examples required us to flip the inequality sign. Remeber, you flip the inequality sign whenever you multiply or divide the inequality by a negative.
 Quadratic_Equations/9422: My question is on standard form. What is 6 x 0.1 + 5 x 0.001 + 7 x 0.0001 written in standard form. I don't get it. 1 solutions Answer 5141 by DWL(56)   on 2005-09-02 20:46:25 (Show Source): You can put this solution on YOUR website!Standard form is scientific notation, using the base of 10. so your problem is (6 *.1) + (5 *.001) + (7 * .0001) = .6057 We rewrite it in Standard form as Which means we moved the decimal 4 places to the right. we could also have written it Which means we only moves the decimal 1 place to the right.
 Numeric_Fractions/9421: Hi- I have a second question that I'm having trouble understanding. If you could please let me know what I'm doing wrong I would appreciate it. Problem: - 5/8 - (-11/12) I found the lcd which is 24 so I made the problem: -15/24 - (-22/24) = - 37/24 The book says the answer should be 7/24 Why is that if your subtracting 2 negatives. Please let me know.1 solutions Answer 5140 by DWL(56)   on 2005-09-02 20:30:48 (Show Source): You can put this solution on YOUR website!The rules of addtion and subtraction say that when you are subtracting a negative number you add it.