An arts academy requires there to be 4 teachers for every 60 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 72 students​?

Answers

Answer 1

Answer:

15students per 1 teacher

9 student per 1 tutor.

8 tutors for 72 students

Step-by-step explanation:

From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students

✓ 4 teachers for every 60 students

4teacher =60students

Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.

✓3 tutors for every 27 students,

3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.

How many students does the academy have

per​ teacher?

15students per 1 teacher

Per​ tutor?

9 student per 1 tutor.

How many tutors does the academy need if it has 72 students​?

Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,

9 student = 1 tutor.

72 students​= X tutor

If we cross multiply we have

72=9X

X=8 tutors

Therefore, we need 8 tutors for 72 students​


Related Questions

9) Aunt Rosie made 50 pies for Mardi Gras.
She made 10 apple pies.
She made 12 pecan pies.
She made 8 chocolate cream pies.
What percent of the pies were pecan?

Answers

Answer:

25 percent

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Use Percent equation (p = n w) or part of the whole = percentage times the whole

so we would have

12 = n 50

12/50 = n

0.24 = n

0.24 = 24%

what is the ratio for 3.6 : 0.04

Answers

Step-by-step explanation:

i think its 90 sorry if wrong

The rule T(5,-3) is used for point (5,-1). Where is the translated point in the coordinate system

Answers

Answer:

Quadrant 4

Step-by-step explanation:

(5,-1), 5+5, -1-3 (10,-4) which is bottom left which is quadrant 4

The point (5, -1) is located in the fourth quadrant. Therefore, option B is the correct answer.

Given that, the rule T(5,-3) is used for point (5,-1).

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Quadrant rules:

First Quadrant: - x > 0 and y > 0. Thus, the sign of a point will be ( +, +).

Second Quadrant: - x < 0 and y > 0. Thus, the sign of a point will be ( -, +).

Third Quadrant: - x < 0 and y < 0. Thus, the sign of a point will be ( -, -).

Fourth Quadrant: - x > 0 and y < 0. Thus, the sign of a point will be ( +, -).

By studying above rules we understood (5, -1) in fourth quadrant.

The point (5, -1) is located in the fourth quadrant. Therefore, option B is the correct answer.

To learn more about the translation visit:

https://brainly.com/question/17485121.

#SPJ2

3) substitute the y=-2x+5 into the equation and solve for x.
2x+y=5
2y=2x-8


*x=1
*x=8
*x=-3
*x=-8
*x=3


question #2
4) Use the -value you found in the last question to find the numerical value of y .

2x+y=5
2y=2x-8
*y=1
*y=-1
*y=8
*y=-2
*y=-8
please answer need it by 11:00pm

Answers

Answer:

Y=3

Step-by-step explanation:

x=1

Y=-2(1)+5

Y=-2+5

Y=3

What does the y-intercept of the line represent
A. Average time spent doing sit ups
B. Average time spent running
C. Total time spent running
D. Average distance run

Answers

The y intercept line represents C. total time spent running

Answer:

Answer:C. Total time spent running

Step-by-step explanation:

graph talking about distance and ya can't move when doin sit ups so its total time spent running

Demon had 6 friends over for Thanksgiving. Each of his friends brought 4 more people. How many people showed up for Thanksgiving dinner?

Answers

6x4=24+1 aka demon = 25

30 (31 if including the person)

it would be 5 per friend so it's just 5 times 6

A bird traveling toward the ground is changing its altitude by an average of −5 feet per second. At this rate, what is the bird's total change in altitude in 6 seconds?

Answers

Answer:

7

Step-by-step explanation:

w
Maureen paid $198.75 for a stereo system, plus a sales tax of $15.90. Approximately, what is the sales tax percent?
A.
7%
B.
8%
C.
12.5%
D.
13.5%

Answers

Answer:

D

Step-by-step explanation:

13.5% will work

Have a great day

Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

Answers

Answer:the length AB is 2

The length A’B’ is 3

The scale factor is 3/2

Step-by-step explanation:

Answer:

A. The length AB is 2.

B. The length A'B' is 3.

D. The scale factor is 3/2

Step-by-step explanation: just did it on edge

Which table represents a linear function. Will give brainliest if right.

Answers

Answer:

the last table

Step-by-step explanation:

what Express 0.08 as a percent

Answers

Answer:

8%

Step-by-step explanation:

It would be 8% because it’s 8%

Which is a component of cell theory?

Cells come from bacteria.
Cells come from cells.
Cells come from nonliving matter.
Cells come from non-cells.

Answers

Answer:

A. Cells come from bacteria

Step-by-step explanation:

I did the test in edge

Please give me Brainliest<3

which equation represents the line that passes through (5,8) and (9,2)

Answers

ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

Y0UR M0MWY 100KS L1KE TH1$

Answers

Answer:

nks

Step-by-step explanation:

tha

The table shows elevations at various locations.

A 3-column table with 4 rows. Column 1 is labeled Location with entries Death Valley, Lake Eyre, Western Sahara, Salton Sea. Column 2 is labeled Country with entries United States, Australia, Egypt, United States. Column 3 is labeled Elevation (meters) with entries negative 86, negative 15, negative 55, negative 69.

If you plotted the elevations on a vertical number line, which elevation would be farthest from 0?
Death Valley
Lake Eyre
Western Sahara
Salton Sea

Answers

Answer:

The answer is A.

Answer: Death Valley

Step-by-step explanation: :D

An elevator is on the tenth floor and drops 7 floors but then rises 12 floors. On what floor is the
elevator currently located?
a. 5TH floor b. 7TH floor
C. 12TH floor d. 15TH floor

Answers

the answer is D, the 15th floor

Answer:

D. 15th floor

Step-by-step explanation:

10-7=3, 3+12=15


Find the value of y when a = 7, b= 16 and c = -3 given that y = 5a + 8c - b

Answers

Answer:

-5

Step-by-step explanation:

Given expression:

          y = 5a + 8c - b

a  = 7,

b  = 16,

c  = -3

 Insert the given parameters and solve;

     y  = 5(7) + 8(-3) - 16

     y  = 35 - 24 - 16

     y  = 35 - 50

     y  = -5

Write an equation for the line in slope-intercept form

Answers

Answer:

y=1/4x+5

Step-by-step explanation:

Question 1
Here is an inequality:
7x+6
2
< 3x + 2
Select all of the values that are a solution to the inequality.

Answers

Inequalities are used to relate unequal expressions

The values that are a solution to the inequality are: A. x = -3  and B. x = -2

The expression is given as:

[tex]\mathbf{7x + 6 < 3x + 2}[/tex]

Collect like terms

[tex]\mathbf{7x -3x < -6 + 2}[/tex]

[tex]\mathbf{4x < -4}[/tex]

Divide both sides by 4

[tex]\mathbf{x < -1}[/tex]

[tex]\mathbf{x < -1}[/tex] means that: the values of x are less than 1.

Hence, the values that are a solution to the inequality are: A. x = -3  and B. x = -2

Read more about inequalities at:

https://brainly.com/question/11612965

What is an equation of the line that passes through the points (−2,−3) and (−1,2)?

Answers

just graph is bruv. The app is called desmos

An exterior angle of a triangle is 124°. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?

Answers

Answer:

62 degrees

Step-by-step explanation:

Let x be the measure of each non-adjacent interior angle.

By the remote interior angle theorem, the two angles mentioned add up to the exterior angle 124

x+x = 124

2x = 124

2x/2 = 124/2

x = 62  

So we have two interior angles of 62 degrees each. The third interior angle is 180-124 = 56 degrees. You can also find this by solving x+x+y = 180 for y Please brainliest

someone pleaseeee help❤️

Answers

Answer:

106

Step-by-step explanation:

the angles combined equal 180 degrees. so to put it into an equation:

x+10+64=180

x+74=180

x=106

Answer:The Answer is 106

Step-by-step explanation:

All you do is add 10+64 which equals 74 the you subtract that from 180 then it is 106.

y + 2 = - 3 ( x - 4 )

Answers

Answer:

i think it's y = 3x + 10

Step-by-step explanation:

hope this helps      = ̄ω ̄=

Answer:

Slope: -3

y intercept: (0,10)

x | y

0 | 10

[tex]\frac{10}{3}[/tex] | 0

CAN SOMEONE PLEASE HELP ME !!! I’LL MARK YOU AS BRAINLIST !! PLEASE AND THANK YOU.

Answers

ok don’t trust me cuz I’m not sure, but for angle D I got 88, angle E I got 70 and angle C I got 22, I learned this stuff like two weeks ago and I forgot, I tried my best lol.

Select the correct answer. What is the decimal equivalent of 10 ? ОА. 0.3 OB. 0.03 OC. 0.3 OD. 0.33 E. 0.003​

Answers

3 divided by 10 would equal 0.3, the answer is C

Justin and his children went into a bakery and where they sell cookies for $0.75 each and brownies for $1.25 each. Justin has $15 to spend and must buy no less than 12 cookies and brownies altogether. If Justin decided to buy 7 brownies, determine the maximum number of cookies that he could buy.

Answers

8 cookies
1.25*7=8.75
8.75-15.00=6.25
6.25/0.75=8.333333...
Since you can’t but .3333 cookies
The most they can get is 8
7+8=15 and it’s more than twelve

What is the value of k?

Answers

Answer:k=2.4

Step-by-step explanation:

What is the slope of y = -1 + 3x?
What is the slope of y = -x + 7?
What is the slope of y = 3x + 8?
What is the y-intercept of the equation: y = 4x - 9?
What is the y-intercept of y = −3x − 2

Need this in 20 min
Do not spam!
I will report you if you spam!

Answers

Answer:

slope of y= -1+3x is "3"

of y=-x+7 is "-1"

of y=3x+8 is "3"

i) y intercept = "-9"

ii) y intercept = "-2"

who made up axillaries?​

Answers

Answer:

Base: Formed by the skin that stretches from the arm to the thoracic cage; forms the indentation known as the axillary fossa. Anterior wall: Made up of the pectoralis major and minor, forming the anterior axillary fold.

copy and pasted but it helped me

Step-by-step explanation:

have a good day sir/ma'am

Please help maybe anyone know how to calculate just a) ir b)?

Answers

Answer:

A is 16 and B is -243 and my calculator is a smart calulator

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