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# Recent problems solved by 'vleith'

vleith answered: 2822 problems
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 Exponents/143586: This question is from textbook a survey of mathematics Madeline and Rufus are Chihuahuas and they are never indoors or outdoors at the same time; when one comes in, the other one goes out. Yesterday, Madeline spent 2/3 of the day indoors. How long did Rufus spend indoors? (Hint: they do this 24 hours a day, much to the dismay of their owners.1 solutions Answer 104524 by vleith(2825)   on 2008-05-30 07:11:06 (Show Source): You can put this solution on YOUR website!1/3. since they are never in the same same place, and can only be either inside or outside, then (1 - (2/3) ) = 1/3
 Linear-systems/143590: Solve system by the substitution method and indicate wheter each system is independent, inconsistent or dependent x=1/8y-1 y=1/4x+391 solutions Answer 104523 by vleith(2825)   on 2008-05-30 07:08:58 (Show Source): You can put this solution on YOUR website!x=1/8y-1 y=1/4x+39 x = (40/8)-1 = 4 (4,40) System is consistent since there is a solution
 Rectangles/143591: the lenght of a rectangle is 4 feet less than twice the width. the perimeter is 28 feet. find the length and width fo the rectangle.1 solutions Answer 104522 by vleith(2825)   on 2008-05-30 07:03:26 (Show Source): You can put this solution on YOUR website!Perimeter is the sum of all the sides. Let w be the width. L = 2w-4 P = w + l + w + l 28 = w + 2w -4 + w + 2w -4 28 = 6w - 8 36 = 6w 6 = w l = 12 - 4 l = 8 Does that work? 28 = 12 + 16 check!
 Geometry_Word_Problems/143594: This question is from textbook Principles of Math Two cabins, A and C are located 450m apart on the bank of a river. Across the river from the two cabins is a boathouse at B. Use the information in the diagram to calculate the width of the river. Angle CAB is 70 degrees. Angle BCA is 30 degrees. 1 solutions Answer 104521 by vleith(2825)   on 2008-05-30 06:59:37 (Show Source): You can put this solution on YOUR website!See this --> http://en.wikipedia.org/wiki/Law_of_sines Use the law of sines. You are given 2 angles, so you can find the third angle (180 - (70+30) ) Now use law of sines to find the distance AB or AC Once you have AB or AC, use sin and that length to find the width of the river.
 Permutations/143571: Please help me solve this extended word problem: Given the following crcumstances tell if a combination or permutation and solve. a. Cassandra has seven skirts, five blouses, and ten pair of shoes, how many outfits can she create?1 solutions Answer 104517 by vleith(2825)   on 2008-05-30 04:51:36 (Show Source): You can put this solution on YOUR website!Take a look at this video. There is a problem just voer halfway through that is almost exactly this problem. http://collabvsl.wetpaint.com/page/Basic+Probability
 Geometry_Word_Problems/143596: This question is from textbook Principles of Math A store sign is 9m high. The maximum length of the ladder is 10m Will the top of the ladder safely reach the sign? The ladder is 2m from the wall and the angle betweeen the ladder and the ground 75.5 degrees. Explain 1 solutions Answer 104516 by vleith(2825)   on 2008-05-30 04:48:02 (Show Source): You can put this solution on YOUR website!Yes. Thw angle where the ladder touches the ground is given as 75.5 degrees. sin is defined as opposite/hypotenuse.
 Word_Problems_With_Coins/143545: Hi i have a question that is really baffaling me.Can someone please help me? A jar of change has \$90.15 in it.There are six less dimes than twice the nickels.There are three more quarters than 4 times the amount of nickels.How many nickels,dimes,and quarters are in the jar?(There are no pennies.)Thanks!!1 solutions Answer 104464 by vleith(2825)   on 2008-05-29 16:52:54 (Show Source): You can put this solution on YOUR website!90.15 Let n be the number of nickels Dimes = 2n - 6 --> d = 2n - 6 Quarters = 4n + 3 --> q = 4n +3 9015 = 5n + 10d + 25q = n + 10*(2n - 6) + 25*(4n +3) 9015 = 5n + 20n - 60 + 100n + 75 9015 = 125n - 15 9000 = 125n 72 = n d = 144 -6 = 138 q = 291 Does that check? 0.25*291 + 0.1*138 + 0.05* 72 = 90.15
 Miscellaneous_Word_Problems/143521: How much Flam would be needed to produce 10 pounds of Flim? When 52 pounds of Flam produce 13 pounds of Flim?1 solutions Answer 104448 by vleith(2825)   on 2008-05-29 12:22:24 (Show Source): You can put this solution on YOUR website!Setup a ratio 52/13 = x/10 then cross multiply to find x
 real-numbers/143499: write each equationin standard form y=7/12x+11 solutions Answer 104438 by vleith(2825)   on 2008-05-29 11:03:10 (Show Source): You can put this solution on YOUR website!Given
 real-numbers/143500: write each equation in standard form y=7x-51 solutions Answer 104437 by vleith(2825)   on 2008-05-29 11:01:31 (Show Source): You can put this solution on YOUR website!Given standard form is Ax + By = C (where A and B are integers, A is positive)
 Linear-systems/143506: Oh, please help me with this, I do NOT understand this system math.... Solve the following system by substitution. 4x - 2y = 8 2x + 4y =8 1 solutions Answer 104436 by vleith(2825)   on 2008-05-29 10:58:42 (Show Source): You can put this solution on YOUR website!see this --> http://collabvsl.wetpaint.com/page/Solving+Systems+of+Equations 4x - 2y = 8 2x + 4y =8 2x + 4y = 8 2x = 8 -4y x = (8-4y)/2 use this and sub into the first equation 4x - 2y = 8 4((8-4y)/2) - 2y = 8 16 - 8y - 2y = 8 -10y = -8 y = 4/5 Use this value of y to sub back in and solve for x x = 12/5 check your answers
 Linear-equations/143507: 9x+3y=93 3x-4y=111 solutions Answer 104435 by vleith(2825)   on 2008-05-29 10:54:02 (Show Source): You can put this solution on YOUR website!See this and let me know if you still cant solve the problem. http://collabvsl.wetpaint.com/page/Solving+Systems+of+Equations
 absolute-value/143508: I am so confused about this question, I don't know where to start. This is how it was typed on the word document. . Jack was able to travel 30 miles downstream in 2 hours. In returning upstream, it took 3 hours to make the trip. How fast can his boat travel in still water? What was the rate of the river current? 2(r+c)=30--->2r+2c=30-->6r+6c=90 3(r-c)=30---->3r-3c=30--> 6r+6c=60 1 solutions Answer 104434 by vleith(2825)   on 2008-05-29 10:52:57 (Show Source): You can put this solution on YOUR website!Minor error is causing you grief 2(r+c)=30--->2r+2c=30-->6r+6c=90 3(r-c)=30---->3r-3c=30--> 6r+6c=60 <-- you changed - to + here 3(r-c)=30---->3r-3c=30--> 6r-6c=60 should be this Now just use elimination to solve. See here for a video on solving systems of equations. http://collabvsl.wetpaint.com/page/Solving+Systems+of+Equations 6r + 6c = 90 6r - 6c = 60 ------------ 12r = 150 r = 12.5 r+c = 15 12.5 + c = 15 c = 2.5 Does that check out?
 Graphs/143482: how to draw graph for equation Y=6x31 solutions Answer 104427 by vleith(2825)   on 2008-05-29 07:28:35 (Show Source): You can put this solution on YOUR website!There is really no simple way to do that beyond taking a few points and making a table. I suggest plugging in x = -3, -2, -1, 0, 1, 2, 3 Solve for Y at each of those values of x. Then plot the points. The shape of the plot will be clear enough with that number of points. X Y -3 6*(-3)^3 = -162 -2 6*(-2)^3 = -48 -1 -6 0 0 1 6 2 48 3 162 Make sure your graph scale is large enough allow for the fact that the Y values are growing exponential.
 Geometry_Word_Problems/143495: a man stands atop a building. he measures the angle of elevation to the building across the street to be 20 degrees and the angle of depression(to the base of the building) to be 35 degrees. if two buildings are 50 feet apart how tall is the taller building. please show all work and find the solution1 solutions Answer 104425 by vleith(2825)   on 2008-05-29 07:22:57 (Show Source): You can put this solution on YOUR website!You have two right triangles. Both have an adjacent leg of 50 ft. Looking up at 20degrees. The opposite leg of the 'upper triangle' can be found by Looking down at 35 degrees. The opposite leg of the lower triangle' can be found by So the next building is = 53.21ft high
 Rational-functions/143465: The view of rectangular box at the right shows three faces of the box. The areas of two of the faces are 30 cm squared and 48 cm squared. The volume of the box is 240 cm cubed. What is the area of the third face?1 solutions Answer 104419 by vleith(2825)   on 2008-05-29 06:20:27 (Show Source): You can put this solution on YOUR website!You are given three pieces of information. Label the axis on the box w, d and h (for width, depth and height). Now setup equations for what you 'know' --> --> Combining the previous two equations yeilds Now plug in the values for d and h into the Volume equation. Reduce to get Substitute w=5 back into the earlier equations to get = 6 = = 8 That's a pretty small box
 Length-and-distance/143487: A rectangular field is 260 feet in perimeter.the length is 10 feet more than twice the width.what is the length?1 solutions Answer 104418 by vleith(2825)   on 2008-05-29 06:10:09 (Show Source): You can put this solution on YOUR website!Let the width = w. The length is given as "10 feet more than twice the width". So The perimeter is givenb as 260 feet. You know the perimeter of a rectangle is Check your answer. If w = 40 , then length = 10+80 = 90. Is 2*40 + 2+90 = 260??
 test/143488: 7y^2 divided by 2 X 8x divided by 20y1 solutions Answer 104417 by vleith(2825)   on 2008-05-29 06:05:42 (Show Source): You can put this solution on YOUR website!watch this - I bet you can do it yourself afterwards http://collabvsl.wetpaint.com/page/Simplifying+rational+expressions+using+multiplication+or+division Let me know if you can't get it after watching
 Linear-systems/143489: How to solve 3 unknown with 2 linear equations?1 solutions Answer 104416 by vleith(2825)   on 2008-05-29 06:03:10 (Show Source): You can put this solution on YOUR website!Can't do it. The best you can do is to get down to one varialbe in terms of the other two.
 Radicals/143490: I wasnt sure how to insert a radicand, so I used/ to represent the radicand I need help with the problem, thank you in advance! 7/45-2/5 1 solutions Answer 104415 by vleith(2825)   on 2008-05-29 06:02:07 (Show Source): You can put this solution on YOUR website!Given :
 logarithm/143336: Use Logarithms to answer the following questions : 1) C = 3.8^2 / 0.943 2) B = cube root of (28.6/0.987) 3) A = (cube root of (39304))/ 136 4) A = square root of ( (16.843)^0 * cube root of(18.8) ) Please help, i need help with these to prepare for an exam. Thanks Rebekah1 solutions Answer 104305 by vleith(2825)   on 2008-05-28 06:53:57 (Show Source): You can put this solution on YOUR website!Let's do the first one. Then you can do then next 2 Using logs 2 and 3 are much the same For the last problem, remember that anything raised to the 0 power is "1". Given Which looks like the same problems as above
 Circles/143335: Find circumference of circle with a radius of 14 in. Use 22/7 for pi. 1 solutions Answer 104304 by vleith(2825)   on 2008-05-28 06:46:15 (Show Source): You can put this solution on YOUR website! given r = 14 inches and pi is apporxiamted as 22/7
 logarithm/143244: Tutors: Express as a product logaX^4 and In y^5 Thank you for the help!!!!1 solutions Answer 104240 by vleith(2825)   on 2008-05-27 16:31:02 (Show Source): You can put this solution on YOUR website!logaX^4 = 4* logaX ln(y^5) = 5 * ln(y) See here --> Look at rule 3 http://www.purplemath.com/modules/logrules.htm