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# Recent problems solved by 'Mathtut'

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 Polynomials-and-rational-expressions/193424: The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? I came up with 100 but I am not for sure if this is right.1 solutions Answer 145207 by Mathtut(3670)   on 2009-04-27 19:16:16 (Show Source): You can put this solution on YOUR website!--->3x=300 : x=100
 Exponents/193412: With scientific notation 3.2 X 10^-6 divided by 6.4 X 10^21 solutions Answer 145202 by Mathtut(3670)   on 2009-04-27 18:28:54 (Show Source):
 Rational-functions/193405: saturn is about 2.87x10^12m from the sun. light travels at approximately 3x10^8 m/s. how long does it take for the suns light to reach saturn? give your answer in seconds and to the nearest minute.1 solutions Answer 145201 by Mathtut(3670)   on 2009-04-27 18:05:50 (Show Source): You can put this solution on YOUR website! seconds : 9566.67/60=159 minutes
 Exponents/193401: Using scientific notation, 4.5 x 10^-8 divided by 2.5 x 10^-31 solutions Answer 145199 by Mathtut(3670)   on 2009-04-27 17:59:20 (Show Source): You can put this solution on YOUR website! or .000018
 Miscellaneous_Word_Problems/193385: A discount store sold plastic cups for \$3.50 each and ceramic cups for \$4.00 each. If 400 cups were sold for a total of \$1,458, how many cups of each type were sold? What was the dollar value of each type of cup sold?1 solutions Answer 145197 by Mathtut(3670)   on 2009-04-27 17:52:19 (Show Source): You can put this solution on YOUR website!let x and y be the number of of plasic and ceramic cups sold respectively : x+y=400............eq 1 3.5x+4y=1458.......eq 2 : rewrite eq 1 to x=400-y and plug this value into eq 2 : 3.5(400-y)+4y=1458 : 1400-3.5y+4y=1458 : .5y=58 : y=116 ceramic cups : x=400-116=284 plastic cups : dollar value of plasic cups is 284(3.5)=\$994 dollar value of ceramic cups is 116(4)=\$464
 Evaluation_Word_Problems/193393: ``Before, solving the problem, I just want to give you the heads up. It's Systems of Equation: Application. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps! *The Perimeter of a rectangle is 42 inches. If the length is doubled and the width is tripled, the perimeter becomes 102 inches. Find the length and width of the original rectangle.* 1 solutions Answer 145196 by Mathtut(3670)   on 2009-04-27 17:44:35 (Show Source): You can put this solution on YOUR website!42=2L+2W--->2L=42-2W.....eq 1 : 102=2(2L)+3(2W)......eq 2 : take 2L's value from eq 1 and plug it into eq 2 : 102=2(42-2W)+6W : 102=84-4W+6W : 18=2W : W=9 in : L=(42-2(9))/2=24/2=12 in
 Systems-of-equations/193395: ``Before, solving the problem, I just want to give you the heads up. It's Systems of Equation: Application. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps! *Two families attend the town's ice cream social every summer. This year one family piad \$9.75 for 3 adult tickets and 5 children's tickets. The other family paid \$10.75 for 5 adult tickets and 1 child's ticket. Find the price of a child's ticket.*1 solutions Answer 145195 by Mathtut(3670)   on 2009-04-27 17:38:44 (Show Source): You can put this solution on YOUR website!let c and a be the prices childrens and adult tickets respectively : 5c+3a=9.75............eq 1 1c+5a=10.75...........eq 2 : rewrite eq 2 to c=10.75-5a and plug this value into eq 1 : 5(10.75-5a)+3a=9.75 : 53.75-25a+3a=9.75 : -22a=-44 : a=\$2 : c=10.75-5(2)=\$.75
 Systems-of-equations/193399: ``Before, solving the problem, I just want to give you the heads up. It's Systems of Equation: Application. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps! *Angles A and B are complementary. Angle B is 18 greater than angle A. Find the measures of the two angles.*1 solutions Answer 145193 by Mathtut(3670)   on 2009-04-27 17:34:01 (Show Source): You can put this solution on YOUR website!since A and B are complementary : A+B=90.......eq 1 B=A+18.......eq 2 : take B's value of A+18 from eq 2 and plug it into eq 1 : A+A+18=90 : 2A=72 : A=36 degrees : B=A+18=36+18=54 degrees
 Systems-of-equations/193396: ``Before, solving the problem, I just want to give you the heads up. It's Systems of Equation: Application. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps! *Roberto decided to invest 20,000 in two accounts. One fo the accounts pays 5% interest and the other pays 8% interest. The interest he earned in one year was \$1210. How much did he have invested in each account?*1 solutions Answer 145192 by Mathtut(3670)   on 2009-04-27 17:31:22 (Show Source): You can put this solution on YOUR website!let x and y be the amounts invested at 5 and 8% respectively : x+y=20000...............eq 1 .05x+.08y=1210..........eq 2 : rewrite eq 1 to x=20000-y and plug this into eq 2 : .05(20000-y)+.08y=1210 : 1000-.05y+.08y=1210 : .03y=210 : y=7000 dollars invested at 8% : x=20000-y=20000-7000=13000 invested at 5%
 Equations/193394: I have a problem solving this compound interest question. Question : If 7000 dollars is invested in a bank account at an interest rate of 9 per cent per year, find the amount in the bank after 12 years if interest is compounded annually ? Now, I have used the compound interest formula A=P(1+(r/n))^nt , and I get 7000. Could someone please help me and see what I am doing wrong in my caluclations? Thanks.1 solutions Answer 145190 by Mathtut(3670)   on 2009-04-27 17:24:49 (Show Source): You can put this solution on YOUR website! : :
 Miscellaneous_Word_Problems/193253: To determine the number of deer in a game preserve, a conservationist catches 465 deer, tags them, and lets them loose. Later, 676 deer are caught; 169 of them are tagged. How many deer are in the preserve?1 solutions Answer 145145 by Mathtut(3670)   on 2009-04-27 13:19:24 (Show Source): You can put this solution on YOUR website! : 169x=314340 : x=1860
 Polynomials-and-rational-expressions/193288: This question is from textbook factor the trinomial x2+7x+121 solutions Answer 145142 by Mathtut(3670)   on 2009-04-27 13:04:15 (Show Source):
 Quadratic_Equations/193345: This question is from textbook I have a problem that states to ADD THE PROPER CONSTANT TO EACH BINOMIAL SO THAT THE RESULTING TRINOMIAL IS A PERFECT SQUARE TRINOMIAL. THEN FACTOR EACH TRINOMIAL. x^2-18x+____ How would you solve this? any help would be greatly appreciated!!1 solutions Answer 145141 by Mathtut(3670)   on 2009-04-27 13:01:29 (Show Source): You can put this solution on YOUR website!the constant is always 1/2 of the x terms coefficient squared : so in this case the coefficient is -18. divide 18 by 2 and you arrive at -9. The square of -9 equals 81 : --->
 Probability-and-statistics/193299: Assume that 'x' is a number chosen at random from the sets of integers between 1 and 15 inclusive, what is the probability that 'x' is a: i) Single digit number ii) Multiple of 5 or 7 iii) Complete square.1 solutions Answer 145139 by Mathtut(3670)   on 2009-04-27 12:56:47 (Show Source): You can put this solution on YOUR website!i) 9 possibles 1-9.... 9/15=3/5 : ii)5,10,15 7,14....so 5 possibles 5/15=1/3 : iii)if we are talking about a perfect square we would have 3 possibles 1,4,9...so 3/15=1/5
 Probability-and-statistics/193298: 3) An integer is chosen at random from the first 50bdigits. What is the probability that it is divisible by 6 or 8. 4) An integer is chosen at random from the first 100 positive integers. Find the probability that it is divisible by i) 8 and 12. ii) 16 and 20.1 solutions Answer 145138 by Mathtut(3670)   on 2009-04-27 12:45:59 (Show Source): You can put this solution on YOUR website!3) there are only 2 numbers that work 24 and 48 so 2/50=1/25 : 4) i)only 4 numbers work 24,48,72, and 96 so 4/100=1/25 ii)only 1 number works 80.....so 1/100
 Linear-systems/193336: Diane has \$1.70 in dimes and nickels. She has a total of 22 coins. How many of each kind does she have? Nickels Dimes1 solutions Answer 145137 by Mathtut(3670)   on 2009-04-27 12:36:47 (Show Source): You can put this solution on YOUR website!let d and n be the number of dimes and nickels respectively : d+n=22..........eq 1 .1d+.05n=1.70...eq 2 : rewrite eq 1 to d=22-n and plug this value into eq 2 : .1(22-n)+.05n=1.7 : 2.2-.1n-+.05n=1.7 : -.05n=-.5 : n=10 nickels : d=22-n=22-10=12 dimes
 Probability-and-statistics/193296: 1) Two cards are drawn at random from a well shuffled pack of 52 cards. Find the probability that: i) One is king and other is Queen. ii) Both are of the same colour. iii) Both are of the different colour.1 solutions Answer 145136 by Mathtut(3670)   on 2009-04-27 12:32:58 (Show Source): You can put this solution on YOUR website!i) (4/52)*(4/51) : ii)(26/52)*(25/51) : iii)(26/52)*(26/51)
 Linear-systems/193338: PROBLEM: A chemist needs 900 millileters of a 40% acid solution for a chemistry experiments. The chemist combines x milliliters of a 20% acid solution and y milliliters of a 70% acid solution to make 40% acid solution. a. write a linear system that repesents the situation1 solutions Answer 145134 by Mathtut(3670)   on 2009-04-27 12:27:14 (Show Source): You can put this solution on YOUR website!let x be the amount of 20% solution and y be the amount of 70% solution : x+y=900...........eq 1 .2x+.7y=.4(900)...eq 2
 Linear-systems/193320: x=1/2y+3 2x-y=6 please help solve these linear equations by using substitution.1 solutions Answer 145128 by Mathtut(3670)   on 2009-04-27 11:12:52 (Show Source): You can put this solution on YOUR website!x=1/2y+3........eq 1 2x-y=6..........eq 2 : take x's value from eq 1 and substitute it into eq 2 : 2((1/2)y+3)-y=6 : y+6-y=6 : 0=0 : rewrite eq 2--->-y=-2x+6--->y=2x-6 rewrite eq 1--->y=2x-6 : these are the same lines(same slope) and same y intercepts therefore there are infinite solutions
 expressions/193322: 1 solutions Answer 145126 by Mathtut(3670)   on 2009-04-27 10:48:13 (Show Source): You can put this solution on YOUR website!tutors have NO acess to problems. Please submit actual problem..thanks Mathtut
 Quadratic-relations-and-conic-sections/193324: ellipse in standard form: (1/6)(x+2)^2 + (1/9)(y-5)^2= 1 find the center, foci, length of the major axis, and the distance between the two foci may you please help me find these? thank you! 1 solutions Answer 145124 by Mathtut(3670)   on 2009-04-27 10:46:35 (Show Source): You can put this solution on YOUR website!center is at (-2,5) : foci c : c= : foci are at (-2,5+sqrt(15)) and (-2, 5-sqrt(15)) : length of major axis is 2a...a=3 so 2a= 2(3)=6units : distance between foci is
 Inequalities/193316: A coffee shop decides to blend a coffee that sells for \$12 per pound with a coffee that sells for \$9 per pound to produce a blend that will sell for \$10 per pound. How much of each should be used to yield 20 pounds of the new blend?1 solutions Answer 145120 by Mathtut(3670)   on 2009-04-27 10:08:55 (Show Source): You can put this solution on YOUR website!let x and y be the amount of 12 and 9 dollar coffee respectively : x+y=20...........eq 1 12x+9y=10(20)....eq 2 : rewrite eq 1 to x=12-y and plug it into eq 2 : 12(20-y)+9y=200 : 240-12y+9y=200 : -3y=-40 : y=13.33 pounds of 9 dollar coffee : x=20-13.33=6.67 pounds of 12 dollar coffee
 test/193312: In Tiana's monthly budget, she set aside \$685 for housing and \$265 less than that for food. How much did she budget for food? Do I just subtract 265 from 685?1 solutions Answer 145119 by Mathtut(3670)   on 2009-04-27 09:59:47 (Show Source): You can put this solution on YOUR website!yes, the budget for food is 685-265
 Inequalities/193317: Printer A can print a report in 3 hours. Printer B can print the same report in 4 hours. How long would it take both printers, working together, to print the report?1 solutions Answer 145117 by Mathtut(3670)   on 2009-04-27 09:58:02 (Show Source): You can put this solution on YOUR website!printer 1 can do 1/3 of the report per hour printer 2 can do 1/4 of the report per hour : together: : (1/4+1/3)t=1 : (3/12+4/12)t=1 : (7/12)t=1 : t=12/7 of an hour for both
 Quadratic_Equations/192999: Polynomial (b) Is there another way to factor this trinomal? Explaing. Please help me i dont undestand this question..thanks you1 solutions Answer 145024 by Mathtut(3670)   on 2009-04-26 15:14:12 (Show Source): You can put this solution on YOUR website!in order to answer this we need the trinomial...thanks Mathtut
 Finance/193016: This question is from textbook Practical Business Math Procedures Fuel inventories were lower than last year according to the San Francisco Chronicle dated February 24, 2007. This year there are 38.6 million barrels of inventory, a 9.72 percent drop. (a) What was the amount of inventory last year to nearest tenth? _____million (b) What was the amount of the decrease? _____million1 solutions Answer 145023 by Mathtut(3670)   on 2009-04-26 15:09:38 (Show Source): You can put this solution on YOUR website!let x be the amount of inventory last year : x-.0972x=38.6 million : .9028x=38.6 : x=42.76 or 42.8 million to the nearest tenth : the decrease is 42.8-38.6=4.2 million