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Alchen [17]
2 years ago
10

The cell phone bill recorded that Jeremiah sent 532 text messages last week. On average

Mathematics
2 answers:
nadezda [96]2 years ago
8 0

Answer:

76 sent text messages per day.

Step-by-step explanation:

The question above is answered below.

Average of a dataset is obtained by the ratio of total sum of dataset and number of observations.

In this case, average text messages sent equals total sent text messages divide by number of days in a week. Thus:

average =  \frac{532}{7}

average = 76 \: text \: messages

Having recorded 532 sent text messages last week; on average, Jeremiah sent 76 text messages each day.

Kipish [7]2 years ago
7 0

Answer: 76

Step-by-step explanation:

create an equation

the average each day is how many messages there are each day, so you would divide the total messages evenly to get the messages per day

average = total message / num days

finding values to use in formula

the total messages is given = 532

num days = 7 because there are 7 days in a week

plug in to solve

solving the formula

average = total messages/num day

average = 532/7 = 76

final answer

76 text messages each day

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x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

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Solving:

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Multiply the entire equation with x(x-1)

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The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

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Step-by-step explanation:

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check answer by substituting x and y into either equation:

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or

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