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# Recent problems solved by 'nyc_function'

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 Rectangles/559261: What is the width of a rectangle that has an area of 112 square inches and a length of 14 inches 1 solutions Answer 363337 by nyc_function(2733)   on 2012-01-18 20:18:36 (Show Source): You can put this solution on YOUR website!Send me your fax number and I will fax the answer to you at my earliest convenience. If you want the answer in paint form, e-mail your question to nycfunction@yahoo.com Feliz
 Equations/559263: How would I solve the equation: n/n-12=9/51 solutions Answer 363335 by nyc_function(2733)   on 2012-01-18 20:18:04 (Show Source): You can put this solution on YOUR website!Send me your fax number and I will fax the answer to you at my earliest convenience. If you want the answer in paint form, e-mail your question to nycfunction@yahoo.com Feliz
 Functions/559250: Find the domain of the following function . F(x)=5/x-8. Answer should be in interval notation. 1 solutions Answer 363334 by nyc_function(2733)   on 2012-01-18 20:17:38 (Show Source): You can put this solution on YOUR website!Send me your fax number and I will fax the answer to you at my earliest convenience. If you want the answer in paint form, e-mail your question to nycfunction@yahoo.com Feliz
 Pythagorean-theorem/554914: the area of a square is 81 square centimeters, find the length of the diagonal.1 solutions Answer 361551 by nyc_function(2733)   on 2012-01-09 21:18:15 (Show Source): You can put this solution on YOUR website!The area of a square = side times side. In short, A = s times s or s^2 81 = s^2 Taking the square root of both sides, we get s = 9cm. To find the diagonal, we use the Pathygorean Theorem. Let d = the diagonal representing the hypotenuse of the right triangle formed by two sides of the square and the diagonal. (side)^2 + (side)^2 = (diagonal)^2 9^2 + 9^2 = d^2 81 + 81 = d^2 162 = d^2 Taking the square root of both sides, we get d = sqrt{162}. The length of the diagonal is the square root of 162 written as sqrt{162}.
 Numeric_Fractions/554835: 5/12=x/61 solutions Answer 361543 by nyc_function(2733)   on 2012-01-09 21:08:47 (Show Source): You can put this solution on YOUR website!5/12 = x/6 12x = 5(6) 12x = 30 x = 30/12 x = 5/2
 Travel_Word_Problems/554846: What is the velocity of the car if it travels in this direction(east) and covers 90 miles in 2 hours?1 solutions Answer 361497 by nyc_function(2733)   on 2012-01-09 19:55:30 (Show Source): You can put this solution on YOUR website!Let V = velocity V = D/t V = 90/2 V = 45 miles per hour
 Travel_Word_Problems/554823: a car traveling 62 miles per hour is moving at a speed of about how many kilometers per hour 1 solutions Answer 361492 by nyc_function(2733)   on 2012-01-09 19:28:20 (Show Source): You can put this solution on YOUR website!62 mph = 99.779 km Check out the online calculator which made the conversion: http://www.militaryfactory.com/conversioncalculators/speed_mph_to_kmh.asp
 Linear-equations/554813: what is the slope for (-12, 9) (-12, -6)1 solutions Answer 361491 by nyc_function(2733)   on 2012-01-09 19:22:04 (Show Source): You can put this solution on YOUR website!m = (-6-9)/(-12-(-12) m = -15/0 Let m = slope Since we cannot divide by zero, then the answer is UNDEFINED SLOPE. This means, the slope DOES NOT EXIST for the given two points. The line that connects the two given points is surely a vertical line for the slope of vertical lines does not exist. The line that connects these two points is the line x = -12, which is a vertical line.
 Problems-with-consecutive-odd-even-integers/554807: Find two consecutive integers whose sum is 271 solutions Answer 361490 by nyc_function(2733)   on 2012-01-09 19:18:00 (Show Source): You can put this solution on YOUR website!n + n + 1 = 27 2n + 1 = 27 2n = 27 - 1 2n = 26 n = 26/2 n = 13 The numbers are 13 and 14.
 Signed-numbers/554790: what does x equeal: x+9=-51 solutions Answer 361489 by nyc_function(2733)   on 2012-01-09 19:10:08 (Show Source): You can put this solution on YOUR website!x + 9 = -5 Subract 9 from both sides. x = -5 - 9 x = -14
 Geometry_Word_Problems/554784: the bases of an Isoceles Trapazoid are 7 & 15, Find the Altitude1 solutions Answer 361485 by nyc_function(2733)   on 2012-01-09 19:04:31 (Show Source): You can put this solution on YOUR website!A = (h/2)(B + b) Let B = 15 Let b = 7 As you can see, more information is needed. I need to know the value of A in order to find h (our height). You did not provide the area of the isoceles trapazoid. So, it is impossible to find the height without knowing the value of A. Understand?
 Geometry_Word_Problems/554731: find the area of a circle with a radius of 4 1/2 inches. Round your answer to the nearest hundredth1 solutions Answer 361477 by nyc_function(2733)   on 2012-01-09 18:33:12 (Show Source): You can put this solution on YOUR website!A = pi(r^2) 4 1/2 can be written as an improper fraction 9/2. So, let r = 9/2 A = pi(9/2)^2 Let pi = 3.14 A = 3.14(9/2)^2 A = 3.14(81/4) A = 3.14(20.25) A = 63.585in^2 We now round to the nearest hundredths AKA second decimal place. A = 63.59in^2
 Surface-area/554724: What is the awnser to this question?: l=12inches, w=4inches? Lenght and with. I have to find the perimeter and the area of the rectangle or square with the given demensions. Explain how u got it please.1 solutions Answer 361469 by nyc_function(2733)   on 2012-01-09 18:14:54 (Show Source): You can put this solution on YOUR website!Use the following two formulas: For area use: A = Length times width For perimeter use: P = 2(length) + 2(width) L = 12, W = 4 A = 12 times 4 A = 48in^2 The area is 48 squared inches. ============================== P = 2(12) + 2(4) P = 24 + 8 P = 32 inches The perimeter is 32 inches. The figure given is a rectangle not a square.
 Functions/553485: Evaluate m=n / 9 = Solve 8x – (6x + 7) = -1 The solution is x= 1 solutions Answer 360884 by nyc_function(2733)   on 2012-01-06 12:09:18 (Show Source): You can put this solution on YOUR website!You said evaluate but gave no value for m or n. Get back to me with this today. The other question: 8x – (6x + 7) = -1 8x - 6x - 7 = -1 2x - 7 = -1 2x = -1 + 7 2x = 6 x = 6/2 x = 3 Done!
 Functions/553484: Find the domain of the function g(x)=3/10-7x1 solutions Answer 360883 by nyc_function(2733)   on 2012-01-06 12:05:44 (Show Source): You can put this solution on YOUR website!To find domain for g(x), set denominator to zero and solve for x. 10 - 7x = 0 -7x = -10 x = -10/-7 x = 10/7 DOMAIN = ALL REAL NUMBERS EXCEPT THAT X CANNOT EQUAL 10/7. WHY CAN'T X = 10/7 HERE? If x is replaced by the fraction 10/7, division by zero is made. Since division by zero does not exist, x CANNOT BE 10/7.
 Radicals/553504: Meteorologists can approximate the duration of a storm by using the formula T=.07D^3/2, where T is the time in hours that a storm of diameter D (in miles) lasts. The National Weather Service reports that a storm 4 miles in diameter is headed toward New Haven. How long can the residents espect the storm to last?1 solutions Answer 360880 by nyc_function(2733)   on 2012-01-06 11:59:11 (Show Source): You can put this solution on YOUR website!Let D = 4 in the equation and solve for T. T = 0.07D^(3/2) T = 0.07(4)^(3/2) T = 0.07(sqrt4{4})^3 T = 0.07 times (2)^3 T = 0.07 times 8 T = 0.56 We now convert 0.56 to time in hours. 0.56 times 60 minutes in one hour = 33.6 minutes. Now, multiply 0.6 (which is the decimal part of 33.6) times 60 = 36 seconds. Final answer for T = 0.0 hours, 33 minutes and 36 seconds.
 Divisibility_and_Prime_Numbers/553497: Find the greatest common divisor of 96 and 54. Find the least common multiple of 30 and 42.1 solutions Answer 360876 by nyc_function(2733)   on 2012-01-06 11:41:51 (Show Source): You can put this solution on YOUR website!Greatest Common Factor: The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions! What is the BIGGEST number that evenly divides 54 and 96? How about 6? 54/6 = 9 96/6 = 16 Yes, that's correct. The least common multiple (LCM) of two numbers is the smallest number (not including zero) that is a multiple of both. Multiples of 3O: 30, 60, 90, 120, 150, 180, 210 Multiples of 42: 42, 84, 126, 168, 210 On the list provided, what number is found in both? The number 210 is found in both. Then 210 is the LCM.
 Probability-and-statistics/553502: If 30% of all commuters ride the train to work, ﬁnd the probability that if 10 workers are selected, 5 will ride the train.1 solutions Answer 360874 by nyc_function(2733)   on 2012-01-06 11:32:00 (Show Source): You can put this solution on YOUR website!Basic Binomial distribution question: Take out a graphing calculator and type in binompdf(10,.3,5) and that should give you- 0.1029 Thus, the probability is 10.3% for 5 workers to ride the train to work out of 10 possible.
 Exponents/553500: x to the 6th - 9y to the 21 solutions Answer 360871 by nyc_function(2733)   on 2012-01-06 11:23:32 (Show Source): You can put this solution on YOUR website!x^6 - 9y^2 factors out to be (x^3 - 3y)(x^3 + 3y). If you multiply (x^3 - 3y) by (x^3 + 3y), it will take you back to the given problem. This is how we know when the answer is correct in terms of factoring. Factoring is the opposite of multiplication. Understand?
 Miscellaneous_Word_Problems/553499: Mrs. Hill is 33 years older than her son. In 4 years she will be four times as old as her son. How old is each? I am not sure how to define all this to actually get the answer. what i have so far is x= son. so the equation I have so far is 33+x; 4+x+4x1 solutions Answer 360870 by nyc_function(2733)   on 2012-01-06 11:18:23 (Show Source): You can put this solution on YOUR website!Let her son be s years old. She is s + 33 years old. In four years time this becomes s + 4 and s + 37. so, 4(s + 4) = s + 37 => 4s + 16 = s + 37 => 3s = 21 so, s = 7 i.e. their ages are 7 and 40.
 test/553498: 5=a+4/3 solve for a ... I know the answer but I'm not sure how to set up the equation to show the answer a: 11 1 solutions Answer 360868 by nyc_function(2733)   on 2012-01-06 11:07:12 (Show Source): You can put this solution on YOUR website!Any letter by itself is divided by 1. In other words, a is really a/1. So, a/1 = a because ANYTHING divided by 1 equal ANYTHING. Understand? This does not change your equation. The equation 5 = a/1 + 4/3 is EXACTLY the same as 5 = a + 4/3. Multiply every term on both sides of the equation by 3. This will remove the fraction on the right side. 5 times 3 = a/1 times 3 + (4/3) times 3 15 = 3a + 4 15 - 4 = 3a 11 = 3a We now divide 11 by 3 to find a. 11/3 = a The correct answer is not 11 but the improper fraction 11/3. So, a = 11/3 is the answer. Understand?
 Linear-equations/553495: How do you solve the equation 17 divided by 35 = - x1 solutions Answer 360867 by nyc_function(2733)   on 2012-01-06 10:59:20 (Show Source): You can put this solution on YOUR website!We have 17/35 = -x Remember that any letter standing alone, for lack of a better word, has a factor of 1 next to it. In other words and for your question, -x is really -1 times x. Did you know that? We multiply both sides of the equation by 35 as step one. 35 times (17/35) = -x times 35 17 = -35x To find x, we now simply divide 17 by -35 (our step two). 17/-35 = x -17/35 = x Did you follow? Are you still confused? If so, write back....
 test/553494: A parallelogram has an area of 6x^2+11x-10 and a base of 2x+5. what is the height?1 solutions Answer 360866 by nyc_function(2733)   on 2012-01-06 10:52:12 (Show Source): You can put this solution on YOUR website!The formula A = base times height is need. 6x^2+11x-10 = 2x + 5 times height Divide 6x^2+11x-10 by 2x + 5 to find height. The height = 3x - 2
 Proportions/551988: Find x for a figure that has a volume of 126cm^3.1 solutions Answer 360013 by nyc_function(2733)   on 2012-01-02 20:03:52 (Show Source): You can put this solution on YOUR website!Let x = edge of figure x = 126/3 x = 42cm
 Numeric_Fractions/551985: if there is 3/4 of pizza and we ate 2/3 how much is left1 solutions Answer 360008 by nyc_function(2733)   on 2012-01-02 19:31:30 (Show Source): You can put this solution on YOUR website!3/4 - 2/3 = 1/12 is left.
 test/551928: My homework asks me to find two positive, consecutive integers whose sum is 624. I think the answer is none, but am not sure that is correct1 solutions Answer 359997 by nyc_function(2733)   on 2012-01-02 18:04:18 (Show Source): You can put this solution on YOUR website!Let x = first integer Let x + 1 = second integer x + x + 1 = 624 2x + 1 = 624 2x = 624 - 1 2x = 623 x = 623/2 x = 311.5 The first number is 311.5 and the other is 312.5 and that's it.
 Rational-functions/551922: what is the domain of the function f(x)=sqrt x-11 solutions Answer 359996 by nyc_function(2733)   on 2012-01-02 17:57:34 (Show Source): You can put this solution on YOUR website!f(x) = sqrt {x-1} The domain is all values that x can take on. I'll set the insides greater-than-or-equal-to zero, and solve. The result will be my domain. x - 1 ≥ 0 Adding 1 to both sides of the inequality, I get: x ≥ 1 The domain is "all x ≥ 1."
 Functions/551919: Given f(x)=x²+2x+1, find f(x+h) and simplify.1 solutions Answer 359995 by nyc_function(2733)   on 2012-01-02 17:43:39 (Show Source): You can put this solution on YOUR website!Let x = (x + h) f(x + h) = (x + h)^2 + 2(x + h) + 1 f(x + h) = x^2 + 2xh + h^2 + 2x + 2h + 1 All you had to do is replace every x in the function with the value (x + h) and simplify.
 Circles/551782: what is the area of a circle with a diameter of 16 meters? Leave your answer in terms of pi.1 solutions Answer 359887 by nyc_function(2733)   on 2012-01-02 12:49:35 (Show Source): You can put this solution on YOUR website!Use A = pi(r^2) The diameter is 16 inches which means that the radius must be 6 inches. radius = diameter divided by 2. We now plug and chug and leave our answer in terms of pi. This means we do NOT use 3.14 for pi. A = pi(6)^2 A = 36pi Done! Understood?
 Linear-systems/551778: Solve x^2 + x - 42=0 x= Is the answer 6? 1 solutions Answer 359885 by nyc_function(2733)   on 2012-01-02 12:39:59 (Show Source): You can put this solution on YOUR website!If the answer is 6, then when we replace x with 6, the answer should be 0, right? x^2 + x - 42 = 0...This is your quadratic equation. Let x = 6 (6)^2 + 6 - 42 = 0 36 + 6 - 42 = 0 42 - 42 = 0 0 = 0...IT CHECKS!!! Yes, the answer is x = 6.
 Triangles/551748: Is it possible for a triangle to have side lengths of 19 cm, 13 cm , and 7 cm? why?1 solutions Answer 359869 by nyc_function(2733)   on 2012-01-02 11:48:40 (Show Source): You can put this solution on YOUR website!It is not possible to have a right triangle with the given sides where 19 represents the hypotenuse. The reason is that in this case the sum of the squares of sides 7 and 13 DOES NOT equal the hypotenuse 19 squared. LOOK: 7^2 + 13^2 = 19^2 49 + 169 = 361 218 DOES NOT EQUAL 361. Understand?