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d1i1m1o1n [39]
3 years ago
8

An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students. How many students does

the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 80 students
Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:There are 18 students per teacher, and 10 per tutor. there are 8 tutors for 80 students

Step-by-step explanation:

First you need to divide 90 by five to find out how many students per teacher.

For the second question, you should do the same thing. 30 divided by 3.

Last, you should divide 80 by the number from the second question (Ten) to get 8.

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Please help I have limited time.
dmitriy555 [2]

Answer:

Answer is B.

Hope this helps.

8 0
3 years ago
Consider the sequence {an} = {nrn}. Decide whether {an} converges for each value of r.
Rudiy27

Answer:

a). converges

b). diverges

c). converges

Step-by-step explanation:

{ $ a_n $ } = { $ nr^n $ }

Using radio test,

L = $ \lim_{n \rightarrow \infty} |\frac{a_n + 1}{a_n}| $

   = $ \lim_{n \rightarrow \infty} |\frac{(n+1)r^{n+1}}{nr^n}| $

   = $ \lim_{n \rightarrow \infty} |(1+\frac{1}{n})^r| $

   = $ \lim_{n \rightarrow \infty} |r| $

   = |r|

Therefore, $a_n$ converges in |r| < 1

a). r = 1/5

    $\{ a_n \}=  \{\frac{1}{5}, n \}$

This sequence is monotonically decreasing and bounded.

0 < $ a_n $ < 1

Hence, { $ a_n $ } converges.

b). r = 1

    { $ a_n $ } = { n }

This sequence is monotonically increasing sequence which is not bounded.

Hence, { $ a_n $ } diverges.

c). r = 1/6

$\{ a_n \}=  \{\frac{1}{6}, n \}$

This sequence is monotonically decreasing and bounded.

0 < $ a_n $ < 1

Hence, { $ a_n $ } converges.

For  |r| < 1, the $a_n$ converges.

3 0
3 years ago
How much larger is a meter that a centimeter
True [87]

Answer:

A meter is 100 times larger than a centimeter

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
HELP PLZZZZZZZZZ!!!!!!!!!!!
ValentinkaMS [17]

Answer:

∆BDC ~ ∆EDA

Step-by-step explanation:

From the given figure in the diagram contained in the question:

=>Angle EDA is congruent to angle BDC

=>Angle E is congruent to angle B

=>Angle A is congruent to angle C

==>Therefore, the similarity statement that can be written to compare the two triangles = ∆BDC ~ ∆EDA

The symbol "~" means "similar to".

Thus, ∆BDC is similar to ∆EDA

4 0
3 years ago
-5x6(3x2 - 12x + 30)
defon

I belive its

-5 × 6( 3 × 2 - 12x + 30 )

-5 × 6( 6 - 12x + 30 )

-5 × 6( -12x + 36 )

-30 ( -12x + 36 )

From this point you distribute (-30)

( 360x + -1,080 )

Then divide 360 from x and -1,080, to get -3 = x or i guess -3x then divide -3 by -3 to get just x by itself

Im not sure hope this helpes

6 0
3 years ago
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