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Elena-2011 [213]
3 years ago
9

An arts academy requires there to be 4 teachers for every 76 students and 3 tutors for every 27 students. How many students does

the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 54 students​?
Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
Per teacher there would be 19 students.
76 divided by 4 = 19

Per Tutor there would be 9 students
27 divided by 3 = 9

Hope this helped
soldi70 [24.7K]3 years ago
3 0

Answer:

The answer is 19 students per tescher

Step-by-step explanation:

76 ÷ 4 =19

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Drag each tile to the correct box
ValentinkaMS [17]

Answer:

Arranging the solutions from the least to the highest;

1.         1.743 x 10⁻²

2.        3.626 x 10⁻²

3.        4.64 x 10⁻²

4.        3.162 x 10²

5.        4.214 x 10³

Step-by-step explanation:

The solutions of the mathematical expression are calculated as follows;

1. \ \ (4.3\times 10^6)(9.8\times 10^{-4}) = (4.3\times 9.8\times 10^{6-4}) = (42.14\times 10^2)= 4.214 \times 10^3

2. \ \ (2.9\times 10^7)(1.6\times 10^{-9}) = (2.9\times 1.6\times 10^{7-9}) = 4.64\times 10^{-2}

3. \ \ \frac{(4.7 \times 10^3)(8.6\times 10^{-7})}{(3.8\times 10^{-4})(6.1 \times 10^2)} = \frac{(4.7\times 8.6\times 10^{3-7})}{(3.8\times 6.1\times 10^{-4+2})} = \frac{4.042 \times 10^{-3}}{2.318\times 10^{-1}} = 1.743\times 10^{-2}

4. \ \ (4.9\times 10^3)(7.4\times 10^{-6}) = (4.9\times 7.4\times 10^{3-6}) = 3.626\times 10^{-2}

5. \ \ \frac{(3.9 \times 10^5)(8.7\times 10^{-3})}{(3.7\times 10^{-5})(2.9 \times 10^8)} = \frac{(3.9\times 8.7\times 10^{5-3})}{(3.7\times 2.9\times 10^{-4 +8 })} = \frac{3.393 \times 10^{-1}}{1.073\times 10^{-3}} = 3.162\times 10^{2}

Arranging the solutions from the least to the highest;

1.         1.743 x 10⁻²

2.        3.626 x 10⁻²

3.        4.64 x 10⁻²

4.        3.162 x 10²

5.        4.214 x 10³

4 0
3 years ago
Read 2 more answers
Petra is asked to color 6/6 of her grid. she must use 3 colors; blue read and pink. there must be more blue sections than red se
Mandarinka [93]
1. 3 blues, 2 red, 1 pink.
2. 3 blues, 2 pink, 2 red.
3. 4 blues, 1 red, 1 pink.

3 0
3 years ago
PLEASE HELP QUICKLY!!! A student's parents offer him one of two options to receive scholarship money for college.
emmainna [20.7K]

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

Step-by-step explanation:

Option A Versus Option B

Option A                                                Option B

Day Amount Deposited                        Day Amount Deposited

0     $40,000.00                                    0       $1.00

1      $40,250.00                                     1        $2.00

2      $40,500.00                                    2       $4.00

...

30   $47,500                                          16      $65,536.00

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

7 0
3 years ago
What conclusion can be determined from the dot plot below? A. The median of the data set is 3. B. The mean of the data set is 3.
RSB [31]

Given:

Consider the below figure attached with this question.

To find:

The conclusion that can be determined from the dot plot.

Solution:

The number of dots in the dot plot is 15. So, the number of observations is 15 and option D is correct.

The data set represented by the dot plot is:

2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6

Number of observations is 15, which is an odd number. So, the median of the data set is:

Median=\dfrac{15+1}{2}\text{th term}

Median=\dfrac{16}{2}\text{th term}

Median=8\text{th term}

Median=4

The median of the data set is 4. So, option A is incorrect.

Mean of the data set is:

Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Mean=\dfrac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}

Mean=\dfrac{60}{15}

Mean=4

The mean of the data set is 4. So, option B is incorrect.

The range of the data set is:

Range = Maximum - Minimum

Range = 6-2

Range = 4

The range of the data set is 4. So, option C is incorrect.

Therefore, the correct option is D.

3 0
3 years ago
Lines b and c are parallel. Which pairs of angles are supplementary?
Marat540 [252]

Answer:

3 and 5

The angles that are vertically adjacent to the transversal.. when it cuts two parellel lines are always supplementary.. that is they make 180 degree.. hence, in the given pair 3 and 5 are supplementary..

as they lie on the transversal

8 0
3 years ago
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