The solution to the original equation is 1, 1/6
<h3>Solving equation</h3>
Equations are expressions separated by mathematical operations.
Given the equation below
x/x − 1 = 6x + 1/x − 1
From the given expression, the least common denominator is x -1
Multiply both sides by x-1 to have;
x = 6x(x-1) +1
Expand
x = 6x^2-6x + 1
Equate to zero
6x^2-6x-x + 1 = 0
6x^2-7x +1= 0
The resulting quadratic equation in general form is 6x^2-7x +1 = 0
Factorize
6x^2 -6x-x + 1 = 0
Group the result
6x(x-1)-1(x-1) = 0
(6x-1)(x-1) = 0
6x - 1 = 0 and x -1 = 0
x = 1 and 1/6
Hence the solution to the original equation is 1, 1/6
Learn more on equation here: brainly.com/question/13763238
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Let be the number of students who eat cauliflower.
Therefore, .
Let be the total number of students surveyed.
Therefore,
Thus,
Now, for 90% confidence level, from the table we know that .
The formula for the interval range of proportion of students is :
Plugging in the values we get:
Thus, Jane is 90% confident that the population proportion p, for students who eat cauliflower in her campus is between 5.398% and 15.114% (after converting the answer we got to percentage).
Answer: 2,208$
Step-by-step explanation:
To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee. Then, simply multiply this number by 69 to get: 2,208$
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Answer:
29 hours
Step-by-step explanation:
If he earned $404.70 per 19 hours, you do 404.70/19 to figure out the amount he earns per hour. 404.7/19 is 21.3. He earns $21.3 per hour. to solve, you find how many times 21.3 goes into 617.7 or 617.7/21.3. That is 29. He needs to work 29 hours to earn $617.70