An arts academy requires there to be 6 teachers for every 144 students and 5 tutors for every 40 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students

Answers

Answer 1

Answer:

3 teachers and 9 tutors

Step-by-step explanation:

Answer 2

Answer:

There are 24 students per teacher and 8 students per tutor. If the academy has 72 students, then 9 tutors would be needed.

Step-by-step explanation:

We will start with the question, how many students does the academy have per teacher. To find this, we need to set up the equation. 144 will be the number of students, 6 will be the number of teachers, and x will be the number of students per teacher.

144/6=x

24=x

So, there are 24 students for every teacher.

We could also do this as a ratio. We would do the same thing. We would divide by six to get our answer.

144:6

Make the six one.

24:1

This shows that there are 24 students for every teacher.

Now to find out how many per tutor.

We will do the same thing as before, minus the ratio, though you could still use the ratio. Remember, 40 is the number of students, 5 is the number of tutors, and x is the number of students per tutor.

40\5=x

8=x

So there are 8 students per tutor.

Now we will use this knowledge to solve for how many tutors are needed if the academy has 72 students.

We will set up our equation. 72 will be the students, we will use eight since that is how many students are needed per tutor, and x will be the number of tutors needed.

72/8=x

9=x

So this means that if the academy has 72 students, then it will need 9 tutors.


Related Questions

help maybe..? Please

Answers

Answer:

15.8

Step-by-step explanation:

First we need to round to the nearest tenth.

18.134 rounds to 18.1 (since it's closer to 18.1 than 18.2)

2.28 rounds to 2.3 (since it's closer to 2.3 than 2.2)

Then we subtract

18.1-2.3=15.8

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The numbers after rounding off to 10th place is :

[tex]18.134\rightarrow18.1[/tex][tex]2.28 \rightarrow2.3[/tex]

now, their difference will be :

[tex]18.1 - 2.3[/tex][tex]15.8[/tex]

1-56-3, what is the value of b?
-2
D-1
0 1
2

Answers

Answer:

A

Step-by-step explanation:

abcdefj tu madre

please help quick i need an answer

Answers

Answer: You can have 7 different 2/3 Pieces

Step-by-step explanation:

The reason you can have more than the amount of feet is because each cut is less than one foot.

help i need step by step explantion

Answers

Answer:

$ 5.94

28 + 7= 35

5.94 + 5.94 + 5.94 + 5.94 + 5.94 + 5.94 = 35.64

on a number line, where would 2/10 be located? choose all answers that make a true statement.

Answers

Answer:

A and C

Step-by-step explanation:

after 1/10 is 2/10 (right)

before 4/10 is 3/10 and 2/10 means to the left

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Let
y
yy represent Mr. Mole's altitude (in meters) relative to the ground after
x
xx minutes.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Choose 1 answer:

Answers

The correct graph of the relationship is shown in Option D.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.

Now, Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.

Hence, The graph of line goes down with constant rate.

Thus, The correct graph of the relationship is shown in Option D.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

What are the zeros of the function shown in the graph?

−1, 1, 2
−2, −1, 1
−3, −1, 1
−1, 1, 3

Answers

-3, -1, 1 all intersect the x-axis. Their coordinates are (-3, 0), (-1, 0) and (1, 0).

Therefore, the correct answer is the third option: -3, -1, 1

i need help with this

Answers

Answer:

Point A is -0.5

Point B is 0.75

Point C is -1.75

HEYY I am posting random questions so whoever answers gets brainliest and a few points since the questions aren't hard!!
what is 600 x 75?

Answers

Answer:

45000

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

4500

Step-by-step explanation:

#3 and 5 please
I don’t understand how to get them

Answers

Answer:

im bad with this kinda thing, just guess and start praying, goodluck

Step-by-step explanation:

Help me please will give Brainliest

Answers

Answer:

donna care bum

Step-by-step explanation:

Stoplight A changes color every 42 seconds and Stoplight B changes color every 30 seconds. Both stoplights changed color 10 seconds ago. After how many seconds will the stoplights change color at the same time again

Answers

42-30= 12, 12x42=504s until they change at the same time. 504-10= 494s from 10s ago

What is the midpoint of the segment shown below

Answers

Answer:

option B is the correct answer

Answer:

Option B is the right answer

Step-by-step explanation:

Basically, add both x coordinates and divide them by 2

(-1+-6)/2

-1-6=-7/2

Then do the same to the y coordinates.

(5+-2)/2

5-2=3/2

Therefore B

[tex] \frac{ -7}{2} \frac{3}{2} [/tex]

Please mark BRAINLIEST if you wish.

Need answer please !!

Answers

Answer:

the circle is shades 28247252

A child is spinning a rock at the end of a 2 foot rope at a rate of 180 revolutions per minute. What is the approximate linear velocity of the rock when it is released.

Answers

Answer:

A child is spinning a rock at the end of a 2-foot rope at the rate of 180 revolutions per minute (rpm).

Step-by-step explanation:

The velocity you want it to be

WHATS THE SLOPE OF THE LINE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-1/2

Step-by-step explanation:

the slope is crossing right about -1 but in the middle

Gas mileage is the number of miles you can drive on a a gallon of gasoline. A test of a new car results in 510 miles on 10 gallons of gas. How far could you drive on 40 gallons of gas? What is the car's gas mileage

help plis

Answers

Answer:

2040 miles and gas mileage is 51/gallon

Step-by-step explanation:

What is the effective annual rate for an APR of 15.80 percent compounded monthly?

Answers

Jsjshahgwjajznxhdksjsj

Hi I need help if you know the answer pls tell me I don’t want any random answer because I’m gonna fail my class if I get a random
Answer

Answers

D is incorrect

When you subtract fractions, the denominators need to be the same:

A)
4/6 - 2/4 = 1/6
8/12 - 6/12 = 2/12
2/12 = 1/6

B)
3/4 - 3/8 = 3/8
6/8 - 3/8 = 3/8

C)
4/5 - 3/4 = 1/20
16/20 - 15/20 = 1/20

D)
9/12 - 3/4 = 6/8
18/24 - 18/24 = 0
6/8 is not equal to 0

Write the quadratic equation that has roots (-1-square root 2)/3 and (-1+square root 2)/3 if its coefficient with x^2 is equal to... 1

Answers

9514 1404 393

Answer:

  x² +2/3x -1/9 = 0

Step-by-step explanation:

The quadratic with roots p and q can be written as ...

  (x -p)(x -q) = 0

  x² -(p+q)x +pq = 0

For p=(-1-√2)/3 and q=(-1+√2)/3, we have ...

  p +q = (-1-√2)/3 +(-1+√2)/3 = -2/3

  pq = ((-1-√2)/3)((-1+√2)/3) = (1 -2)/9 = -1/9

Then the quadratic is ...

  x² +2/3x -1/9 = 0

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Determine the point and slope from the equation: y - 4 = -5(x + 2) *

a) point: (2, -4) slope: -5
b) point: (4, -2) slope: -5
c) point: (-2, 4) slope: -5
d) point: (-4, 2) slope: -5

Answers

c) point: (-2, 4) slope: -5

Answer:

c) point: (-2, 4) slope: -5

Step-by-step explanation:

1. The point-slope form of a linear equation is written as: [tex]y-y_1=m(x-x_1)[/tex], where [tex]y_1=[/tex] y-coordinate of point one, m = slope, and [tex]x_1=[/tex] x-coordinate of point one.

2. The x-coordinate should be -2, and the y-coordinate should 4. That makes the point (-2,4). M, the slope, is -5.

someone help please!!

Answers

Answer: x=60 degrees

Step-by-step explanation: This triangle is an equilateral triangle, meaning all angles are equal. Since a triangle is 180 degrees total, 180 degrees/3 angles= 60 degrees each angle.

factor the linear expression 15x - 10 using the greatest common factor of the terms.

A) 5(3x -2)
B) 5(3x - 10)
C) 5(3x + 2)
D) 15(x - 2)

Answers

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

A.Reflection about the x-axis followed by a translation right by 2 units

B.Reflection about the y-axis followed by a translation left by 2 units

C.Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

D.Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

Answer: B

You don't need to rotate it, and the x-axis is the horizontal one, you need to reflect across the vertical axis, then shift it 2 places to the left.

Which of the following tables could represent a linear function? For each that could be linear, find a linear equation models the data.

Answers

9514 1404 393

Answer:

y -6 = (-25/2)xy -13 = 5(x -2)y +4 = 10(x -2)not a linear relation

Step-by-step explanation:

The function will be linear if the differences in y-values are proportional to the differences in x-values. The constant of that proportionality is the slope of the line. A linear equation can be written using the point-slope form:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Table 1

x-differences: 2-0 = 2, 4-2 = 2, 6-4 = 2

y-differences: -19-6 = -25, -44-(-19) = -25, -69-(-44) = -25

m = -25/2; (h, k) = (0, 6)

  linear relation: y -6 = (-25/2)x

__

Table 2

x-differences: 2, 4, 2

y-differences: 10, 20, 10

m = 10/2 = 20/4 = 10/2 = 5; (h, k) = (2, 13)

  linear relation: y -13 = 5(x -2)

__

Table 3

x-differences: 2, 2, 2

y-differences: 20, 20, 20

m = 20/2 = 10; (h, k) = (2, -4)

  linear relation: y +4 = 10(x -2)

__

Table 4

x-differences: 2, 4, 2

y-differences: 25, 75, 125

  not a linear relation

cual es el maximo comun divisor de 12, 20 y 36?​

Answers

Answer:

4 es ep maximo comun divisor

What is the length of the red line segment on the number line?

Answers

Answer:

The length is 8 because from mins 7 to 1 there a distance of 8

You want to take out a $222,000 mortgage (home loan). The interest rate on the loan is 5.9%, and the loan is for 30 years. Your monthly payments are $1,316.76. How much will still be owed after making payments for 20 years? Round your answer to the nearest dollar.

Answers

You will owe about $119,145 after making payments for 20 years.

Give a pair of alternate interior angles, a pair of alternate exterior angles, and a pair of corresponding angles.

Answers

Answer:

Step-by-step explanation:

(a). Alternate interior angels:

∠3 and ∠5 ,

or

∠4 and ∠6 .

(b). Alternate exterior angels:

∠1 and ∠7 ,

or

∠2 and ∠8 .

(c). Corresponding angels:

∠1 and ∠5 ,

or

∠2 and ∠6 ,

or

∠3 and ∠7 ,

or

∠4 and ∠8 .

Three strands of wire have a total length of
120 meters. One strand is twice the length of
the shortest strand, and the other strand is
three times the length of the shortest strand.
What is the length of the longest strand of
wire?

Answers

Answer: 20 Meters

Step-by-step explanation:

First strand: 2x (twice the length of the shortest strand)

Second strand: 3x (three times the length of the shortest strand)

Third strand: x (the length of the shortest strand)

All the strands: 2x + 3x + x

All the strands: 6x

6x = 120 meters

(DIVIDE BOTH 6 AND 120 BY 6)

x=20

THE LENGTH OF THE SHORTEST STRAND IS 20 METERS

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