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vampirchik [111]
2 years ago
5

an arts academy requires there to be 6 teachers for every 132 students and 3 tutors for every 27 students . how many students do

es the academy have per teacher ? per tutor ? how many tutors does the academy need if it has 72 students ?
Mathematics
1 answer:
Nina [5.8K]2 years ago
4 0

Answer:

3

Step-by-step explanation:

The number of necessary tutors when you divide 27 into 72, is 2.6; therefore the necessary number of tutors is 3 because you can’t have .6 of a tutor. Hope this helps!

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Jamaal has 20 models of cars and planes. He has 3 times as many cars as planes. What is the ratio of cars to total models?
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Jamaal has 20 models of cars and planes. He has 3 times as many cars as planes. What is the ratio of cars to total models? Mutiply its what 20X20X20
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3 years ago
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A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (
dezoksy [38]

The required scale factor for the dialed triangle is given by SF= 6.28

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0).

<h3>What is scale factor?</h3>

The scale factor is defined as the ratio of modified change in length to the original length.

Since, the height and base of the triangle is y coordinate of B and x coordinate of c is given by 4, 6
Area of triangle =1/2(base x height)
                         = 1/2 (4 x 6)
                         =   4.8
Similarly, for dilated triangle
Area of dilated triangle =  30

Now, scale factor(SF) = area of dilated triangle \ area of triangle
SF = 30/4.8
SF = 6.25

Thus, the required scale factor is SF = 6.25

 

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4 0
2 years ago
A case of Mountain Dew (24 cans) cost $7.68. What is the unit price?
Westkost [7]
0.32 cents for each unit because if you divide 7.68 by 24 it is 0.32
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3 years ago
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To sample the average number of pages for the books in the school library, the
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6 0
2 years ago
A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

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Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

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