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Vilka [71]
2 years ago
14

In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t

hat
year, what was the total number of college students?
Round your answer to the nearest million.
Mathematics
1 answer:
Ronch [10]2 years ago
5 0

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are \frac{31}{100}x. Because all part-time college students are also equal to 8.6 million, we have 8,600,000=\frac{31}{100}x. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

8,600,00\cdot\frac{100}{31}=x

The left side of the equation evaluates as 27,741,935.5. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.

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tatiyna

Answer:

B

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form.  That form is usually written y=mx+b where  <em>m</em>  is the slope and  <em>b</em>  is the y-intercept.

Solve the first equation for y.

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The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

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The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and <u>different</u> y-intercepts.  There is no solution to the system.

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3 years ago
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

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Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

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  =>   lny = 9x + c

 =>   y =  e^{9x +c }

 =>    y =  e^{9x} e^{c}

Here e^c  =  C

=>     y = C  e^{9x}

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3 years ago
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Answer:

The network model is attached.

Step-by-step explanation:

Total Demand from each Gas Company are:

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Northwest Gas, 400 units.

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Butler County, 200 units;

Clermont County, 300 units.

The distribution costs per unit (in thousands of dollars) are as follows

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Northwest Gas ----12 ----15---- 18

The network representation of these information is given in the attachment.

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Step-by-step explanation:

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