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-Dominant- [34]
2 years ago
12

arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 24 students. How many students does t

he academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 64 students​?
Mathematics
1 answer:
jonny [76]2 years ago
4 0

Answer:

the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors

Step-by-step explanation:

each tutor would have 10 students then if you do 11 times 10 you get 11

(hope this helps can I pls have brainlist (crown)☺️)

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A teacher with 10 students has 30 lesson times available. She will teach exactly one of her students during each lesson time. Ho
natka813 [3]

There are \frac{30!}{(3!)^{10} } ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.

A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.

A whole number's "n" factororial is the sum of that number and each whole number up to one.

When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.

Learn more about factorials here:

brainly.com/question/25997932

#SPJ1

5 0
2 years ago
Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=0
yaroslaw [1]

Answer:

(x-5)(x+6)=0

Step-by-step explanation:

hehe i doing the smae unit rn.

if a=1 (which it does do ac factoring)

you need two numbers that multiply to -30 and add to 1. those numbers  are 5 and -6.

substitute 1x for -5x + 6x.

group the numbers into pairs and find their gcf's

x(x-5)    6(x-5)

since the parenthesis r the same yo only need one. Now you need to put x and 6 in a parenthesis.

FINAL: (x-5)(x+6) hope this helps

6 0
3 years ago
Write the sentence as an equation.<br> 16 equals 392 multiplied by k
Natasha2012 [34]

Answer:

The answer to your question is: <em>392</em><em> </em><em>×</em><em> </em><em>k</em><em> </em><em>=</em><em>16</em>

5 0
3 years ago
Question 13 (Essay Worth 8 points)
mixer [17]

9514 1404 393

Answer:

  geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

  an = 3(-4)^(n-1)

so the sum can be written as ...

  \displaystyle\sum_{n=0}^\infty3(-4)^n

(Note the summation starts at n=0, corresponding to a first term of 3.)

3 0
3 years ago
15 inches and 8 feet in the simplest form
aivan3 [116]
9ft n 3 inches , because 12 inches is a feet ! if you know then you know
5 0
3 years ago
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