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alexandr1967 [171]
2 years ago
13

A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim

ates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.



45
Mathematics
1 answer:
olga_2 [115]2 years ago
3 0

Answer:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

Step-by-step explanation:

Given:

The number of multiple choice questions and number of short answer type questions are same.

Let it be equal to .

Average Time taken to attempt multiple choice question = 2 minutes

Total time taken to attempt multiple choice question = 2 minutes

Average Time taken to attempt short answer type question = 3.5 minutes

Total Time taken to attempt short answer type question = 3.5

Total time for test should be less than 45 minutes.

Therefore, the equation becomes:

Hence, the value of

Therefore, the answer is:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

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The fare for an Uber is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the school center was $11.50.
Vinvika [58]

Answer:

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Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m  

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

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6 0
3 years ago
Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis
Snowcat [4.5K]

Answer:

I assume that the function is:

f(x) = \frac{1}{4}*8^x

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

f(x) = \frac{1}{4}*8^x

then:

g(x) = -f(-x) =  -\frac{1}{4}*8^{-x}

Now we can graph this, to get the graph you can see below:

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3 years ago
Solve Mathematics question. Photo
dezoksy [38]
Take a look at the photo attached.

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3 years ago
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melisa1 [442]

Answer:

Step-by-step explanation:

6x^2+4x-42

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3 years ago
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