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# Recent problems solved by 'Fombitz'

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 Triangles/316471: find the area of triangle whose sides are 5 cm ,12 cm & 13 cm. also find the length of the shortest altitude.1 solutions Answer 226517 by Fombitz(13828)   on 2010-06-22 13:44:34 (Show Source): You can put this solution on YOUR website!Use Heron's theorem, . . . Then use the area of a triangle, Smallest h would have the largest b. Use b=13.
 Travel_Word_Problems/316607: A truck enters a freeway traveling 40 mph. An hour later, a car enters the same freeway traveling 55 mph. At this rate, in how many miles will the car overtake the truck?1 solutions Answer 226515 by Fombitz(13828)   on 2010-06-22 13:40:17 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance After 1 hour the truck is 40 miles away. When the car catches the truck, , . . . It takes the car hours to catch the truck. miles or approximately 146.7 miles.
 Expressions-with-variables/316588: 1/3 s+7/9=4/3 s1 solutions Answer 226514 by Fombitz(13828)   on 2010-06-22 13:35:26 (Show Source): You can put this solution on YOUR website! Multiply both sides by 9 to get rid of fractions.
 Linear-equations/316611: what is is the value of x and y in the simultaneous equation 2x+2y=4 3x+3y=61 solutions Answer 226512 by Fombitz(13828)   on 2010-06-22 13:33:02 (Show Source): You can put this solution on YOUR website!1. . . . 2. These are the same line. There are an infinite number of solutions. Any point that solves also solves eq. 1 and eq. 2.
 Probability-and-statistics/316597: The diameter of a pipe is normally distributed with a mean of 0.4 inch and a variance of 0.0004. What is the probability that the diameter of a randomly selected pipe will exceed 0.44 inch? Express your answer as a percen to two decimal places. 1 solutions Answer 226511 by Fombitz(13828)   on 2010-06-22 13:28:22 (Show Source): You can put this solution on YOUR website!Variance=0.0004 Standard deviation is the square root of variance. Find the z score for 0.44 inches. P(x<=0.44)= P(x>0.44)+P(x<=0.44)=1 P(x>0.44)=1-P(x<=0.44) P(x>0.44)= P(x>0.440=
 Numbers_Word_Problems/316464: find a three digit number such that if the digits at the tens place and the hundred place are reversed then the number obtained is twenty percent greater than the original number1 solutions Answer 226458 by Fombitz(13828)   on 2010-06-22 11:43:52 (Show Source): You can put this solution on YOUR website! . . . . . . a,b,c must all be integers. a,b must be between 1 and 9. c must be between 0 and 9. Since c must be positive or zero, Since a must take on integer values, then Let } when and then Let's look at other values, Let when but then So that solution is not valid. No other solutions exist because would not have a solution in the valid ranges for a,b, and c. . . . The original number is 450 and the new number is 540.
 Inverses/316565: For which of the following values of x is cos x/sin x not defined? A) Pi/2 B) Pi/3 C) Pi/4 D) Pi/6 E) 0 ???1 solutions Answer 226456 by Fombitz(13828)   on 2010-06-22 11:23:32 (Show Source): You can put this solution on YOUR website!When the denominator equals zero. at and . E) is the correct answer.
 Quadratic_Equations/316554: Given the polynomial 3x^2-6x-18 what is the vertex of it's graph1 solutions Answer 226454 by Fombitz(13828)   on 2010-06-22 11:14:27 (Show Source): You can put this solution on YOUR website!Complete the square to convert to vertex form, where (h,k) is the vertex. . . . (1,-21) is the vertex. . . .
 Rational-functions/316523: y-4x=-1 5y-5x=0 how do i solve this system?1 solutions Answer 226453 by Fombitz(13828)   on 2010-06-22 11:10:43 (Show Source): You can put this solution on YOUR website!Use eq. 1 to get an expression for y . Then substitute this expression in eq. 2 for y and solve for x. Then go back and solve for y.
 Equations/316555: Can you please solve this equation? 6Y=9X3 Thank you.1 solutions Answer 226451 by Fombitz(13828)   on 2010-06-22 11:08:12 (Show Source): You can put this solution on YOUR website!You can't solve it, but you can graph it. . . .
 Equations/316455: if the difference of two numbers is 8 and their product is 17, what is the sum od their squares ?1 solutions Answer 226449 by Fombitz(13828)   on 2010-06-22 11:06:33 (Show Source): You can put this solution on YOUR website!Let A and B be the numbers. You know that
 test/316552: Idk how to solv this 13x-2y=70 2x-2y=4 Its substituting1 solutions Answer 226448 by Fombitz(13828)   on 2010-06-22 11:03:59 (Show Source): You can put this solution on YOUR website!1. 2. From eq. 2, Substitute into eq. 1 Then use eq. 2 to find .
 Permutations/316547: an experiment consists of selecting 3 light bulbs. The selected bulbs are labeled D for defective or N for non-defective. a)list the associated sample space b)List the event, E, the first bulb selected is defective and the last bulb selected is non-defective. c)What is the probability of event E?1 solutions Answer 226446 by Fombitz(13828)   on 2010-06-22 10:59:14 (Show Source): You can put this solution on YOUR website!There are 8 total outcomes (2^3). a) (N N N) (N N D) (N D N) (N D D) (D N N) (D N D) (D D N) (D D D) . . . b) E=(D N N) (D D N) 2 outcomes. . . . c)P(E)=2/8=1/4
 Miscellaneous_Word_Problems/316550: A digital clock shows either 3 digits or 4 digits at a time . at what time do the digits on a digital clock have the greatest sum ?1 solutions Answer 226444 by Fombitz(13828)   on 2010-06-22 10:56:16 (Show Source): You can put this solution on YOUR website!Look at the digits from the left. I assume you mean a 12 hour clock and not a 24 hr clock. First two digits : 01 to 12- max=12 Last two digits: 00 to 59-max=59 1259 which sums to 17.
 Probability-and-statistics/316545: I am completely lost on this question: The next state lottery will have the following payoffs possible with their associated probabilities. Payoff Probability \$2.00 0.0500 \$25.00 0.0100 \$100.00 0.0050 \$500.00 0.0010 \$5,000.00 0.0005 \$10,000.00 0.0001 You buy a single ticket. 3. Referring to Table 4-7, if you have a winning ticket, the probability that you win at least \$100.00 is Any help would be appreciated.1 solutions Answer 226442 by Fombitz(13828)   on 2010-06-22 10:53:42 (Show Source): You can put this solution on YOUR website!P(at least 100)=P(100)+P(500)+P(5000)+P(10000) P(at least 100)=0.005+0.001+0.0005+0.0001 P(at least 100)=0.0066
 Parallelograms/316541: (-2,4) and (1,0) are opposite vertices in a parallelogram . if (-4,0) is the third vertex , then the fourth vertex is A (3,4) B (-1,-4) C (-7,4) D (-2,0)1 solutions Answer 226441 by Fombitz(13828)   on 2010-06-22 10:47:33 (Show Source): You can put this solution on YOUR website! From (1,0), move 2 in the x and 4 in the y. (1,0)+(2,4)=(3,4) . . . A) is the correct answer.
 Triangles/316537: What is the perimeter of a 45°-45°-90° triangle with a hypotenuse length of 28 feet? (Please round to the nearest whole number.) 1 solutions Answer 226439 by Fombitz(13828)   on 2010-06-22 10:25:40 (Show Source): You can put this solution on YOUR website!Use the Pythagorean theorem to find the side length, s. . . .
 Problems-with-consecutive-odd-even-integers/316434: The foot of an extension ladder is 15 ft from a wall. The ladder is 5 ft longer than the height that it reaches on the wall. How far up the wall does the ladder reach?1 solutions Answer 226438 by Fombitz(13828)   on 2010-06-22 10:21:23 (Show Source): You can put this solution on YOUR website!Use the Pythagorean theorem, The ladder reaches 20 feet up the wall and is 25 feet long.
 Mixture_Word_Problems/316452: How many gallons of a 25% alcohol solution would need to be mixed with a 35% alcohol solution in order to obtain 20 gallons of a 32% alcohol solutio?1 solutions Answer 226437 by Fombitz(13828)   on 2010-06-22 10:16:17 (Show Source): You can put this solution on YOUR website!Let A be the amount of 25% solution, B the amount of 35% solution. Total quantity equation 1. Concentration equation 2. Multiply eq. 1 by -25 and add to eq. 2, Then from eq. 1, . . . 6 gallons of 25% solution and 14 gallons of 35% solution.
 Linear-systems/316406: Suppose that a linear cost function for an item is given by C (x) = 50x + 300. the items sell for \$75 each. Find the break - even quanity.1 solutions Answer 226436 by Fombitz(13828)   on 2010-06-22 10:12:41 (Show Source): You can put this solution on YOUR website!At breakeven, revenue R(x) equals cost C(x). 12 units need to be sold.
 Systems-of-equations/316437: If 2x^2-2x=3, then x= ???1 solutions Answer 226435 by Fombitz(13828)   on 2010-06-22 10:10:06 (Show Source): You can put this solution on YOUR website! Complete the square.
 Inequalities/316534: If -6<=x<=6, and 0<=y<=10, what is the greatest possible value of y-x?1 solutions Answer 226434 by Fombitz(13828)   on 2010-06-22 10:06:53 (Show Source): You can put this solution on YOUR website!Find the largest value of y and the smallest value of x.
 Polynomials-and-rational-expressions/316465: For what value of a is the expression [(2a-2)/((a-2)(a+3))] not defined1 solutions Answer 226433 by Fombitz(13828)   on 2010-06-22 10:06:01 (Show Source): You can put this solution on YOUR website!The expression is undefined when the denominator equals zero since division by zero is undefined. Two solutions: . . .
 Linear-systems/316520: how do i solve this system by graphing? y=-2x+1 3y=x-181 solutions Answer 226432 by Fombitz(13828)   on 2010-06-22 10:03:59 (Show Source): You can put this solution on YOUR website! Y-intercept:(0,-1) Slope=-2. . . . . . . Y-intercept:(0,-6) Slope=1/3. . . . Looks like (3,-5) is a solution. . . . . . . Check with the equations. . . . . . . Yes, (3,-5) solves both equations. . . .
 Linear_Algebra/316477: what answer of graphs linear equations min two variables1 solutions Answer 226431 by Fombitz(13828)   on 2010-06-22 09:58:07 (Show Source): You can put this solution on YOUR website!Could you please re-state your question?
 Probability-and-statistics/316505: Consider the following table of test scores. Test Score 90 80 70 60 50 Frequency 3 5 8 3 2 Find the median of this data. 1 solutions Answer 226430 by Fombitz(13828)   on 2010-06-22 09:57:16 (Show Source): You can put this solution on YOUR website!Order the data. There are 21 total values. Find the 11th value. 2nd value-30 5th value-60 11th value-70 The median value is 70.
 Length-and-distance/316519: Where is the center of the circle given by the equation (x + 7)2 + (y - 5)2 = 16? Enter your answer as an ordered pair. 1 solutions Answer 226429 by Fombitz(13828)   on 2010-06-22 09:50:10 (Show Source): You can put this solution on YOUR website!The general equation for a circle centered at (h,k) with a radius R is: Comparing, (h,k)=(-7,5)
 Polynomials-and-rational-expressions/316527: what is the vertex and x-intercepts of y = x^2 + 4x + 71 solutions Answer 226428 by Fombitz(13828)   on 2010-06-22 09:49:01 (Show Source): You can put this solution on YOUR website!Complete the square to get to vertex form. where (h,k) is the vertex. . . . The vertex is (-2,3) . . . Now set the equation equal to zero to solve for the zeros. where
 Age_Word_Problems/316518: Separate 100 into two parts so that one part is 3 times the other.1 solutions Answer 226427 by Fombitz(13828)   on 2010-06-22 09:45:59 (Show Source): You can put this solution on YOUR website!Let the two parts be A and B. 1. 2. Use eq. 2 in eq. 1, Then from eq. 2,
 Rational-functions/316521: How do i solve the sysyem by addition? 4x-8y=18 2x-3y=81 solutions Answer 226426 by Fombitz(13828)   on 2010-06-22 09:43:33 (Show Source): You can put this solution on YOUR website!Multiply eq. 2 by (-2) and add the equations together. Take it from there to solve for y, then use either equation to solve for x.
 Rational-functions/316524: -3x+2y=7 x=16-3y the answer i came up with is y=5,and x=1 is this right1 solutions Answer 226425 by Fombitz(13828)   on 2010-06-22 09:42:19 (Show Source): You can put this solution on YOUR website!PLug the solutions into the equations to verify. So far so good. Yes, your solution has been verified. Good job!