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2 years ago

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number

Mathematics

1 answer:

notsponge [240]2 years ago

6 0

Answer:

2/3 or 3/2

Step-by-step explanation:

Let x represent the number. The given relation is ...

x +1/x = 2 1/6

x^2 +1 = (13/6)x

6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6

(6x -9)(6x -4)/6 = 0 . . . . factor

(2x -3)(3x -2) = 0 . . . . . . simplify a bit

x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero

The number is 2/3 or its reciprocal, 3/2.

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Please help!!!!! Will give brainliest!!

valkas [14]

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Why?

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2.57*10^4=25700

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and

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÷ 0.0257

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3 years ago

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 peopl

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Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y : $\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

Put $x_1=20,\ y_1=150,\ y_2=150$ to find $x_2$ .

$\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32$

Hence, the waiting time will be 32 minutes when 240 people in line.

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The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number​

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number