4 9; 8; 10; 7; Answer (Detailed Solution Below) Option 3 : 10. A) 83 . Example 1: Translate into mathematical expressions. D. Allen and Ram can finish cleaning the house in 2 hours. A is twice old as B. There are two possibilities: x=-sqrt(3) or x=sqrt(3) Suppose the number is x Then the "reciprocal" of this number is 1/x We are told that: "The sum of a number and its reciprocal is equal to 4 times the reciprocal" Therefore: x + 1/x = 4 xx 1/x :. asked Dec 8, 2019 in Quadratic Equations by Ayush01 ( 44.7k points) 7. Since the complex number lies in the fourth quadrant, has the principal value, θ = -α = -π/6. . 37. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. Find the number. The square of smaller number is twice the greater number. The sum of a number and its reciprocal is \(\frac { 5 }{ 2 }\) Answer: Let x be the number. Answer: Answer: The number is 2 2 or 1 1. Answer (1 of 3): x+1/x=82/9 (x^2+1)/x=82/9 9x^2+9=82x 9x^2-82x+9=0 9x^2-81x-x+9=0 9x(x-9)-1(x-9)=0 (9x-1)(x-9)=0 x=9 orx=1/9 9. If twice the reciprocal of a number is added to the number, the result is. collegemathwordproblem 1/ (1/2) is 2. - 13159752 The sum of thrice a number and twice its reciprocal is 97/4. . 6 3). the Sum of the Fraction and Its Reciprocal is `2 9/10` Find the Fraction. A number added to twice its reciprocal is equal to 11/3. x2 x + 1 x. The reciprocal of the certain number is 1/x Twice the reciprocal is 2/x Now we are told that: 3x+(2/x)=5 multiply each term by x 3x^2+2=5x subtract 5x from each side 0. What is the number? A number added to twice its reciprocal is equal to 11 over 3. The sum of two numbers is 40.we need to find the no. So if we take the derivative of this in order to minimize it, what we end up getting is that the way we can minimize it is if A is equal to one, so we get one plus 1/1 and that gives us two. A natural number is doubled when added to its reciprocal. In other words, the reciprocal of any number is one divided by that number. The reciprocal for a number "a", denoted by 1/a, is a number which when multiplied by "a" yields the multiplicative identity 1. According to question, ⇒ x = 2(1/x) + 31/4 ⇒ x - 2/x = 31/4 ⇒ 4(x 2 - 2) = 31x ⇒ 4x 2 - 31x - 8 = 0 ⇒ 4x 2 - 32x + x - 8 = 0 . This is a linear equation that I can solve: n + ( n + 1) = 15. It is also called multiplicative inverse. Since the sum of a number and its reciprocal = 4.25 ⇒ 4(x 2 + 1) = 17x ⇒ 4x 2 + 4 = 17x ⇒ 4x 2 - 17x + 4 = 0 . The sum of a number and its reciprocal is 2 1/20.The number is (a) 5/4 or 4/5 (b) 4/3 or 3/4 (c) 5/6 or 6/5 (d) 1/6 or 6. . The sum of a number and 10 times its reciprocal is 7. . . Add it Here. We have step-by-step solutions for your textbooks written by Bartleby experts! If the sum of the fraction and its reciprocal is `2(16)/(21),` find the fraction. 10) If seven times a number is reduced by nine, the result is ten 7x - 9 = x -10 Best answer. Answer by nyc_function (2741) ( Show Source ): You can put this solution on YOUR website! Explanation: Explanation: Let the number be represented by x x and its reciprocal is 1 x 1 x. How about another: 10 × (1 / 10) = 10 x 0.1 = 1. By what rational number should 22/7 be divided, to get the number - 11/24? . if a number is subtracted from twice its reciprocal the result is 7/3. find the number . So, 1/8 is the . 8; 10; 12; 14; . . 9 - x = 20 . The value of the magnetic quantum number depends on the value of the azimuthal quantum number. twice; double Twice a number; double a number 2x multiplied by A number multiplied by negative six −6x . x = 3 xx 1/x :. 1. find a positive number succh that the sum of the number and twice its reciprocal is as small as possible 2. find a positive number such that the difference of the number and its reciprocal is a large as possible answer. (b) After how many seconds is the height 14.7 meters? NEXT> 2. The square of a number is positive. A number added to 5 5 + x A number increased by 13 x + 13 5 less than 10 10 - 5 A number decreased by 7 x - 7 Difference between x and 3 x - 3 Difference between 3 and x 3 - x Twice a number 2x Ten percent of x 0.10x Ten times x 10x Quotient of x and 3 x/3 Quotient of 3 and x 3/x Five is three more than a number 5 = x + 3 The product of 2 times . Math Calculus Q&A Library directions: answer the following problems systematically. 1/2. a. a number and its reciprocal have opposite signs . The product of a number and its reciprocal is 1. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1: 2.Find the fraction. The reciprocal of a fraction is found by flipping its numerator and denominator. are solved by group of students and teacher of Class 7, which is also the largest student community of Class 7. The reciprocal of a number is 1 divided by the number. Find the number (s). Four times of its reciprocal = 4/ x. Two natural numbers differ by 3. 0 like 0 dislike. The difference between twice a number and 3 b. So, number =` x = 2 ` denominator =`x+3=2+3=5` So, required fraction =`2/5` Concept: Relationship . (a) After how many seconds is the height 18.375 meters? 6. 8. This means that we place the numerator in the denominator and the denominator in the numerator. 2 5 then the number is 4 o r 4 1 . Show the solution - 5177056 if a number is added to its reciprocal the sum is 25/12. CBSE CBSE (English Medium) Class 10. We can now add these two terms giving the expression: x + 1 x. x = 4 xx 1/x - 1 xx 1/x :. The sum of a number and 8 2. (3/5) + 2 (1/n) = 1. thumb_up Like (2) visibility Views (9.5K) . are solved by group of students and teacher of Class 7, which is also the largest student community of Class 7. 5. You should always get 1. The denominator of a fraction is one more than twice the numerator. 8 = 2x yields Twelve added to a number yields five. - 423211 suppose that each statement below is true, use deductive reasoning to give another statement that must also true 3.) b., every whole number is an integer … Divide 16 two part such that twice the square of the larger part exceed the square of the smaller . The output must be a floating-point/decimal number, not just an integer. Now, if we multiply a number by its reciprocal, it gives a value equal to 1. If the sum of the fraction and its reciprocal is 2 2/6 find the fraction. A number is doubled and 9 is added. Textbook Solutions 19245. Problem 2 What positive number added to its reciprocal gives the minimum sum? 1/3 of a number is added to 5. the result is one and half times the original number.find the number. View all Free tests > Free. SOLUTION: Where 3 times a certain number is added to twice its reciprocal the result is 5. Find that number! Find out the lengths of the . Let the number = x. Answers (1) S shubham.krishnan. Solution 2 The square root of a number added its reciprocal 6. 1500. . Use timeSlowGoal = 1.0/speed to get the reciprocal, since - as we all learned in basic math at school, 1/ (1/x) = x. What is the number. Find the number. ISBN-13: 9780077548797 ISBN: 0077548795 Authors: Julie Miller, Molly O Neill, Nancy Hyde Rent | Buy. Calculation: Let the number be x. x + 12 = 5 amounts to Nine less a number amounts to twenty. 2. Hint. The exercise did not ask me for the value of the variable n; it asked for the identity of two numbers. ,If the sum of their reciprocal is 2/5 ( Quadratic equation) Solution: The phrase "twice a number" translates into two times the number, or 2 x. Nine times the reciprocal of a rational number equals 6 times the reciprocal of 17.Find the rational number . 14 Is added to ⅔ of a number. #1. The multiplicative inverse of a fraction: a/b is b/a The additive inverse of a number "a" is the number that when added to "a", gives result zero. 2. What number added to 1 gives its own square? phil found that the sum of twice a number and -21 is 129 greater than the opposite of the number, what is the number? The sum of a number and its reciprocal is 4.25. find two consecutive natural number the sum of whose reciprocal is 11/30 . Answer (1 of 8): Let the number be x According to the question, x+(1/x)*2=11/3 or x+2/x=11/3 or (x^2+2)/x=11/3 or 3x^2+6=11 x or 3x^2 - 1 1x +6 = 0 This is a quadratic equation. 2. Find the number. 9 2). To find the reciprocal of a fraction, we invert the fraction. a number and multiplied by 7 = 7y; twice a number a divided by three = 2a / 3; five times a number x minus four = 5x - 4; thrice the sum of a number x and six = 3 (x + 6) a number x is divided by two added to seven = 7 + x / 2 So it has to be at least two. 28. What is the number? (Think about ittwice the number 8 would be 2 8 = 16.) Can you explain this answer? 2+0Answers. We also want to make a power of 10 with twice the digits as that number for use in the calculation. Therefore, the reciprocal of x is: 1 x. x + 2 ⋅ 1 x = 3 x + 2 ⋅ 1 x = 3. x + 2 x = 3 x + 2 x = 3. find the number. Passage history E2/E1, where E#/ means number of egg passages in submission laboratory and /E# means number of egg passages at Center for Disease Control (CDC), Atlanta, GA. . on the left side . A number added to twice its reciprocal is equal to 11/3? Textbook solution for Intermediate Algebra for College Students (7th Edition)… 7th Edition Robert F. Blitzer Chapter 6.7 Problem 51E. Five years ago A was 3 times as old as B . One of the perpendicular side of a right angled triangle has length 4 cm more than twice of the other side. (a) The sum of a number and its reciprocal is 1 2 2 5 .What is the number? If 27 is added to the number, digits are reversed the number is. Solve Study Textbooks Guides. 1/9=9+1/9 So the number is 9 or 1/9 answered. The Questions and Answers of Form an expression: when twice a number x is added to thrice its reciprocal.a)2x + 1/xb)2x + 2/xc)x + 3/xd)2x + 3/xCorrect answer is option 'D'. +2. The number is : √2 1/√2 √3 1/√3. Find the dimensions of the field. Reciprocal of 8 7 = 7 8. To add these we need to put both terms over a common denominator by multiplying the term on the left by the appropriate form of 1: ( x x × x) + 1 x ⇒. A number and its reciprocal have a product of 1 1. a b ⋅ b a = 1 a b ⋅ b a = 1. Answer: ( A number) NEXT> 10. question; answer; word-problems; try; The denominator of a fraction is 1 more than twice its numerator. 8 4). Hint. swap over the numerator and denominator to get the reciprocal of fraction. (3/5) + (2/n) = 1. The step-by-step calculation help parents to assist their kids studying 4th, 5th or 6th grade to verify . The sum of thrice a number and twice its reciprocal is 97/4. 3n + 10 = 5n. The product of two numbers is 56.when their sum is added to the sum of their squares,we get 128.find the numbers? How many hours will each boy finish the work alone. x^2 = 3 :. asked 3 hours ago in Quadratic Equations by Sanjana mali . What is that number. 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