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ryzh [129]
3 years ago
9

an arts academy requires there to be 3 teachers for every 51 students and 5 tutors for every 45 students. how many students does

the academy have per teacher? per tutor? how many tutors does the academy need if it has 90 students? The academy has ___ students per tutor
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Answer:

17 students per teacher, 9 students per tutor. You need 10 tutors if the school had 90 students.

Step-by-step explanation:

51 students divided by 3 teachers = 17 students per teacher.

45 students divided by 5 tutors = 9 students per teacher.

If there are 9 students per tutor 9 * 10 = 90 so ten tutors

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Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

(1,1): This means that when t = 1, y = 1

(5,5): This means that when t = 5, y = 5.

So

(1,1)

y = Ce^{kt}

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e^{k} = \frac{1}{C}

(5,5)

y = Ce^{kt}

5Ce^{k} = 1

Ce^{k} = \frac{1}{5}

From above, we have that:

e^{k} = \frac{1}{C}

C\frac{1}{C} = \frac{1}{5}

1 = \frac{1}{5}

1 cannot be equal to 1/5, so this is wrong.

This means that there is no exponential function passing through (1,1) and (5,5).

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3 years ago
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Answer:

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