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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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Which situation is the best for the equation 3x=288
kupik [55]

Answer:

The situation best for the equation 3x=288 Is by dividing both sides by the coefficient of x to single out the variable

Step-by-step explanation:

=> 3x/3=288/3

=> x = 96

8 0
2 years ago
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How do I solve this problem using the Midpoint Formula?
wlad13 [49]

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5 0
3 years ago
How do you factor this expression: x^3 + 9x^2 + 27x + 27. Thanks! :)
soldier1979 [14.2K]

Answer:

(x + 3)³

Step-by-step explanation:

Use rational root test to check for possible rational roots.

Factors of 27 are 1, 3, 9, and 27.

Factors of 1 are 1.

Possible rational roots are:

±1/1, ±3/1, ±9/1, ±27/1

Checking each one, we find that -3 is a root.  So x + 3 is a factor.

Knowing that, we can use grouping to factor.

x³ + 9x² + 27x + 27

x³ + 9x² + 18x + 9x + 27

x (x² + 9x + 18) + 9 (x + 3)

x (x + 6) (x + 3) + 9 (x + 3)

(x + 3) (x (x + 6) + 9)

(x + 3) (x² + 6x + 9)

(x + 3) (x + 3)²

(x + 3)³

5 0
3 years ago
Figure out the answer to this question.
frutty [35]

Answer:

  • (9, 12)

Step-by-step explanation:

<u>Given system:</u>

  • 5x - 3y = 9
  • 4x - 2y = 12

<u>Solve by elimination, multiply the second equation by - 3/2 and add with the first one:</u>

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  • - x = - 9
  • x = 9

<u>Find y:</u>

  • 5*9 - 3y = 9
  • 45 - 3y = 9
  • 3y = 45 - 9
  • 3y = 36
  • y = 12
3 0
2 years ago
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This graph shows how long, in minutes, it takes Malaya run her miles. How
Sav [38]

Answer:

80 minutes

Step-by-step explanation:

On your graph it says each mile takes 10 minutes. 8 miles take 80 minutes.

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3 years ago
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