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

Answers

Answer 1

This question is incomplete

Complete Question

An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.

How many students does the academy have per​ teacher?Per​ tutor?

How many tutors does the academy need if it has 80 students

Answer:

a) 18 students per teacher

b) 10 students per tutor

c) 8 tutors

Step-by-step explanation:

a) How many students does the academy have per teacher?

5 teachers for every 90 students

Hence,

5 teachers = 90 students

1 teacher = x students

Cross Multiply

5 × x = 1 × 90

5x= 90

x = 90/5

x = 18 students

We have 18 students per teacher

b) How many students Per​ tutor?

3 tutors = 30 students.

1 tutor = x students

3 × x = 30 × 1

x = 30/3

x = 10 students

We have 10 students per tutor

c) How many tutors does the academy need if it has 80 students

3 tutors = 30 students.

30 students = 3 tutors

80 students = x tutors

Cross Multiply

30 × x = 80 × 3

x = 80 × 3/30

x = 8 tutors

The school needs 8 tutors for 80 students.


Related Questions

A recipe calls for a total of 3 and two-thirds cups flour and sugar. If the recipe calls for One-fourth cup of sugar, how much flour is needed?

Answers

Given:

A recipe calls for a total of 3 and two-thirds cups flour and sugar respectively.

To find:

The flour needed if the recipe calls for one-fourth cup of sugar.

Solution:

According to the question,

[tex]\dfrac{2}{3}[/tex] of sugar needs 3 cups of flour.

[tex]1[/tex] of sugar needs [tex]\dfrac{3}{2}\times 3[/tex] cups of flour.

[tex]\dfrac{1}{4}[/tex] of sugar needs [tex]\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex] cups of flour.

Now,

[tex]\text{Required flour}=\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex]

[tex]\text{Required flour}=\dfrac{9}{8}[/tex]

Therefore, the required flour is [tex]\dfrac{9}{8}[/tex] cups.

Celeste is making fruit baskets for her service club to.
take to a local hospital. The directions say to fill the
boxes using 5 apples for every 6 oranges. Celeste is
filling her baskets with 2 apples for every 3 oranges.
Is Celeste using the correct ratio of apples to oranges?

Answers

Answer:

c

Step-by-step explanation:

It cost $510 to get your car fixed. If it was $375 for parts, how much did the mechanic charge for the work to fix your car?

Answers

Isn’t it just 510 minus 375? Which is 135?? Maybe I’m wrong but I think it’s 135

ASAP PLS....I need this for tomorrow:(​

Answers

Answer:

your answer is 2x2y

Step-by-step explanation:

that's it

A small-town newspaper examines its daily circulation. Last week, it sold 200 newspapers daily. This week, it sold 186 newspapers daily. Part A: What is the percent decrease in the newspaper's circulation since last week? Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

Answers

Answer:

7%

173

Step-by-step explanation:

Given that :

Daily sales last week = 200

Daily sales this week = 186

% decrease in newspaper circulation :

(Decrease / initial amount) * 100%

((200 - 186) / 200) * 100%

(14 / 200) * 100%

0.07 * 100%

= 7%

Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

7% decrease the following week :

(100% - 7%) of 186

93% * 186

0.93 * 186

= 172.98

= 173

Callan goes for a hike every Saturday. Callan hikes at a rate of 3 miles per hour.
Complete the table for the given ratio.

Answers

Answer:

(1) 27 meters. (2, 3) Both distances in miles (y) are 10 miles (y)

Step-by-step explanation:

For the first question, every mark represents 9 meters. and 9 multiplied by 3 is 27.For the second half, look at the y section and see that the dots are a line higher than 9. So they both have 10 as y.

How do I write an equation in slope-intercept form for the line with slope 2/3 & y-intercept -3

Answers

Answer:

Step-by-step explanation:

ok equation are like fraction but let me put it like this lets say x+y=7;x+2y=11 thats how you do eqution done.

Henry puts 19 candies in each gift bag. He uses 551 candies. How many gift bags did he fill?

Answers

Answer:

29

Step-by-step explanation:

551/19=29

Hey my old account is ilikebug it got into minus points somehow so this is my new account

Answers

Answer: Hi hope your new account doesn't malfunction.

I’ll give brainliest

Answers

Answer:

1 1/9

Step-by-step explanation:

The answer is 1 1/9. Hope it is correct! You can give a brainliest if it is correct.

Exact form: 10/9

Decimal form: 1.1(ones repeating)

Mixed number form: 1 1/9

Did it on a calculator so best of luck!

Question 13 (1 point)
03.OSLO
What is the volume of a sphere with a radius of 6 inches?
1120 cubic inches
2880 cubic inches
2900 cubic inches
3000 cubic inches

Answers

Answer:

V=904.78 in^3

Step-by-step explanation:

V=4/3pir^3=4/3.pi.6^3=904.77868in^3

Please help me with my work

Answers

Answer:

1) -1/4

2) -1/2

3) 1/3

Step-by-step explanation:

perpendicular lines' slopes are opposite reciprocals so you flip it and change the positive or negative sign

parallel lines have the same slope

Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?​

Answers

Answer:

[tex]\boxed {\boxed {\sf 45 \ Joules}}[/tex]

Step-by-step explanation:

Work can be found by multiplying the force by the distance traveled in the direction of the force.

[tex]W=F*d[/tex]

The force is 45 Newtons.

The distance traveled is 1 meter.

[tex]F=45 \ N \\d= 1 \ m[/tex]

Substitute the values into the formula.

[tex]W=45 \ N * 1 \ m[/tex]

Multiply.

[tex]W=45 \ N*m[/tex]

1 Newton meter is equal to 1 Joules.

Therefore our answer of 45 Newton meters is equal to 45 Joules.

[tex]W= 45 \ J[/tex]

The work done is 45 Joules.

Step-by-step explanation:

[tex]\sf Required\:Answer\begin{cases} \sf Force_(f)=45N \\ \sf Distance_(d)=1m \\ \sf As\:we\:know\:that \\ {\boxed{\sf Work_(w)=Force_(f)\times Distance_(d)}} \\ \sf W=45 \times 1Nm \\ \sf =45Nm \\ \longrightarrow {\underline{\boxed{\bf W=45Joule}}}\end {array}[/tex]

Please help me with my homework!!!!

Answers

Answer:

1. m = 5    2. v = -19    3.  x = 10

4. x = 3     5. x = 32     6. x = -50

Step-by-step explanation:

My mom told me I know everything :D

5) Ziegler is using paper for an art project
thatis 0.025 mm thick. If she glues a layer
of thepaper onto a construction board with
athickness of 7 * 10^-2 mm, what will the
total thickness of the paper and the
construction
board be? Write your ansicer
in scientific notation

Answers

Answer:

9.5 * 10^-2 mm

Step-by-step explanation:

To find the total thickness, we proceed to add the two thickness that we have

Mathematically, this will be;

0.025 mm + 7 * 10^-2 mm

7 * 10^-2 mm = 0.07

So we have;

0.025 mm + 0.07 mm = 0.095

In scientific notation, this is 9.5 * 10^-2 mm

The figure was created by repeatedly reflecting triangle NMP. A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Answers

Answer:

42in

Step-by-step explanation:

just took quiz

Answer:

42 100% edg

Step-by-step explanation:

as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42

84 is 35% of which of the following value

Answers

Answer:

28.56

Step-by-step explanation:

Feel free to give brainliest.

Have a great day!

plz solve anyone question​

Answers

Here you go. Should be solved


Item 1
Order the numbers from least to greatest.

−3/4, 0.5, 2/3,−7/3, 1.2

Answers

Answer:

-7/3, -3/4, .5, 2/3, 1.2

Step-by-step explanation:

negatives are always the least number

Answer:

-7/3, -3/4, 0.5, 2/3, 1.2

Hope this helps! Sorry if it's wrong!

A person with a mental age of 21 and a chronological age of 20 has an IQ of 105. What is the chronological age of a person with a mental age of 35 and an IQ of

Answers

Answer:

The answer is "25 years".

Step-by-step explanation:

In the question the value of IQ is missing that is = 140

Given value:

IQ= 140

MA=35

CA=?

Formula for calculating the chronological age:

[tex]\to CA = (\frac{MA}{IQ})\times 100[/tex]

          [tex]= (\frac{35}{140})\times 100\\\\ = \frac{35}{14}\times 10\\\\=2.5 \times 10\\\\= 25[/tex]

A recipe states that 5 servings of peanuts have 1,250 calories. Write an equation to represent the relationship between the number of calories (c) and thenumber of servings of peanuts

Answers

dont care idiot hahahahahahahahahah

Janet answered 4 out of 5 correctly on her test. What percent of the questions did she answer
correctly?

Answers

Answer:

80%

Step-by-step explanation:

you divide 4 and 5. Which equals 80

Answer:

80%

Step-by-step explanation:

Your Point
Here is your ordered pair plotted as a point, together
with the linear equation 2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes
NO
a Explain your thinking
Submit

Answers

Answer:

I know my ordered pair is correct because it's on the line.

Yes, the ordered pairs are accurate as estimated by our theoretical calculations.

What is the graph?

A graph, which is a mathematical representation of a network, describes the relationship between lines and points. A graph is made up of a few points and the arcs that connect them. Neither the location of the points nor the length of the lines matters.

Given that, the equation of a line is y=x+2.

Substitute x=0, 1, 2, 3, 4, 5 and 6 in the equation y=x+2, we get

y = 2, 3, 4, 5, 6, and so on.

So, the coordinate points are (0, 2), (1, 3), (2, 4), (3, 5) and (4, 6).

In the obtained graph, we got the points (0, 2), (1, 3) and (2, 4), they are accurate as we calculated.

Yes, the ordered pairs are accurate as estimated by our theoretical calculations.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Here is your ordered pair plotted as a point, together with the linear equation y=x+2

(If you can't see your point, maybe you didn't type it

correctly, or maybe it's outside the graph window.)

Is your ordered pair correct? How do you know?

PLEASEEEE HELPPPPP ASAPPPP

Answers

Answer: f(n) = 8n + 20

Find BA
CB + BA = CA
7x-2 + 5x+1 = 23

Answers

Answer:

BA = 11

Step-by-step explanation:

CB + BA = CA , substitute values

7x - 2 + 5x + 1 = 23, that is

12x - 1 = 23 ( add 1 to both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Thus

BA = 5x + 1 = 5(2) + 1 = 10 + 1 = 11

since CB + BA = CA,
sub. in all the values :
7x - 2 + 5x + 1 = 23

find the value of x :
7x + 5x = 23 + 2 - 1
12x = 24
x = 2

sub. in the value of x into (5x + 1),
BA = 5(2) + 1
BA = 10 + 1
BA = 11

hey bro's help me!!​

Answers

Answer:

3x+10

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the probability is 1/2

The points (20, 80) and (30, 120) form a proportional relationship. What is the slope of the line that passes through these points?

Answers

Slope = (y2-y1)/(x2-x1)
(120-80)/(30-20)
= (90)/(10) = 9
The slope is 9

Can Anybody help please?

Answers

Step-by-step explanation:

CA is the another name of of AC

Which expression is equivalent to 6x2 – 19x – 55?

Answers

Answer:  (x - 5)(6x + 11)

Step-by-step explanation:

Let's factorie the given expression using middle term splitting method.

Thus, we have ;

=> 6x² - 19x - 55

=> 6x² - 30x + 11x - 55

=> 6x(x - 5) + 11(x - 5)

=> (x - 5)(6x + 11)

Hence,

The equivalent expression of 6x² - 19x - 55 is :

(x - 5)(6x + 11).


1) The sum of two consecutive integers is greater than 21. Find the smallest possible values for the integers.

Answers

i can help

i think it is 10 and 11

The smallest possible values for the integers will be 11 and 12.

What exactly is simplification?

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Let the two consecutive integers will be x and y.

From the given conditions the sum of two consecutive integers is greater than 21;

x+y>21

11 and 12 are the only two consecutive digits has the sum of 21.

11+12>21

22>21

Hence, the smallest possible values for the integers will be 11 and 12.

To learn more about the simplification, refer to:

https://brainly.com/question/23509407

#SPJ2

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