An arts academy requires there to be 4 teachers for every 88 students and 6 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 140 students?

Answers

Answer 1

Answer

One teacher would have 22 students

One tutor would have 10 students

If there was 140 students the academy would need 14 tutors

Step-by-step explanation:

Answer 2
One teacher 22 students
One tutor 10 students
140 students 14 tutors
Explanation: 88 divided by 4 = 22 students 1 teacher
60 divided by 6 = 10 students 1 tutor
140 divided by 60 x 6 = 14 tutor

Related Questions

For every hour (h) Sally studied for her math test, her grade increased by 5 points (p). What is the Dependent variable in this situation?


Hour (h)


Points (p)

Answers

P is the dependent variable.
Every time h goes up by one p goes up by 5 making p dependent on h to raise its value

Answer:

The Dependent variable in this situation is p.

Step-by-step explanation:

For every hour that Sally studied, her grade increased 5 points, meaning, the points cannot increase without the hours.

I'm doing systems of equations and inequality, solving by graphing, and was wondering how to do this problem. Thank you!

Answers

Answer:

You need to graph the two lines. The solution is the point at which they intersect.

Step-by-step explanation:

To make things easier, first, you turn the first equation into slope-intercept form:

y = 2x + 5

Also, I didn't provide the answer because you just asked how to do it, but I can help with that if you need.

graph the 2 equations on the graph

Which integer in the set has the greatest value (4, -4, -3, 3)?

Answers

Answer:

Step-by-step explanation:

it is four because it is the biggest number

Answer:

they are equal

Step-by-step explanation:

Abraham is staying in a mountain cabin for the weekend. In the morning, he hike 7.5 miles up north to see a waterfall. At night he went 2.5 down south from his cabin to a restaurant to eat dinner. What does zero represent in this situation?

Answers

Answer:

he went zero miles.

Step-by-step explanation: x and y

Answer: The person above me is correct

Step-by-step explanation:

To build a new skate park, a community board must have at least 40% of the voters agree to the build. At a recent voters meeting, 125 voters were asked if they would vote for the new skate park and 58 responded yes. Should the community board go ahead and start planning the park?

No, they should not plan for the skate park because the sample had about 46.4% people vote no.
No, they should not plan for the skate park because the sample had about 53.6% people vote no.
Yes, they should plan for the skate park because the sample had about 46.4% people vote yes.
Yes, they should plan for the skate park because the sample had about 53.6% people vote yes.

Answers

Yes they should plan for the skate park because the samples had about 46.4% people

Yes, they should plan for the skate park because the sample had about 46.4% people vote yes. Thus, option C is correct.

What is a sample?

A sample is characterized as a more workable and compact version of a bigger group. a smaller population that possesses the traits of a bigger group. Since the population size exceeds the threshold big to accommodate all those who participated in the test, a subsection of the population is utilised in statistical analysis.

The details that are given:

the needed percentage to build a skateboard = 40 %

The total number of voters = 125

The people who responded yes = 58

The percentage of the people who voted will be:

= 58/125 * 100

= 46.4 %

As the value of  46.4 % > 40%, the individual should be able to vote.

Therefore, option C is correct.

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Write down the inequality for x that is shown on this line.

Answers

Answer:

x>3

Step-by-step explanation:

An open circle on a graph indicates greater than or less than and since the line points to the right then it'd be greater than and the circle is on 3.

The required inequality will be 3

Which of the quotients are equivalent to 5? Select all that apply.

Answers

Answer:

-15/-3 and -5/-1

Step-by-step explanation:

two negatives make a positive when multiplying or dividing, and they're kinda obvious anyway

Above answers are correct

The height of Angel Falls, the tallest waterfall in the world, is

3,212 feet. How do you write this number in scientific notation?

Answers

3.212 x 10 to the power of 3

Answer:

[tex]3212 = 3.212 \times 1000 = 3.212 \times {10}^{3} [/tex]

Challenge You buy 3.17 pounds of apples, 1.35 pounds of pears, and 1.78 pounds of oranges. What is your total bill?
Grocery Store Prices
Item
Cost
Apples
$1.19 per
pound
$1.29 per
pound
$1.09 per
Pears
Oranges
Your total bill is $
(Round to the nearest cent as needed.)

Answers

Answer: $7.4

Step-by-step explanation:

What I did was multiply the price per lb. of apples by pounds per apples same for pears and for oranges I rounded each amount and got:

3.8 for apples

1.7 for pears

1.9 for oranges

you'd then add them all together and get a total of 7.4 dollars as your total bill.

$7.4 dollars Apples 1.19 pair 1.29 oranges 1.09

Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair. What fraction of the students are girls with blond hair?

Answers

Answer:

1/5

Step-by-step explanation:

The answer is 1/5 of the students are blond girls, since 1/3 of 3/5 is 1/5. 

Divide 3/5 by 3, which is 1/5. 

Hope this helps!

Your answer would be 1/5

How to get the answer:

Since 3/5 of the students are girls and 1/3 of them have blonde hair you’d basically multiply 3/5 x 1/3 and you’d get 3/15. Then you have to simplify by dividing by 3 and you get 1/5.

Need answer as soon as possible please

Answers

Answer:the second one y=6x-5

Step-by-step explanation:

so :

6x-5=0

6x=0+5

6x=5

x=5:6 =0,83

A ( 0,83 ; 0)

x=0

2 x 0 -5  = -5

B(0; -5)

answer : y=6x-5
explanation:

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.

Answers

Each sub cost 6$-6.5$

Answer: $6.50 - $6.67

Step-by-step explanation:

20/3 = 6.67

26/4 = 6.5

You can use this answer or try to find the middle of the two numbers.

Sarah has red and blue modeling clay. When she found that of her modeling clay was red, she gave some to her brothers. She gave of the red clay to Bradley and of it to Shane.

Bradley and Shane wanted to determine how much of Sarah's modeling clay they received in all. Sarah said they could find the amount by simplifying the expression. Their mom, Theresa, said that they could find the amount by simplifying the expression.

The absolute value of the difference between the two methods proposed by Sarah and Theresa is

Answers

Answer:

задащададдадвбкдплп дБ лпдплладаллплпдалпщалладвжахпддапщадбьдалпьп пщлпьпдп пдлп

Need answer as soon as possible please.

Answers

Y=-9
The y’s on both points are the same, so when you do
y2-y1 -9(- -9) 0
———= ————-=
x2-x1
Whew ever there is a 0 on the top, the slope will always be 0
y=-9


cuz



your welcommeee

This is an example of a Function.


True
False

Answers

Answer:

True

Step-by-step explanation:

This function would be

Because we are squaring the negative cancels out

Hope this helped and have a good day

Answer:

true

Step-by-step explanation:

AirPod Pros sell for $249 regularly. Cyber Monday deals offered them for 20% off. How much could be saved by buying them on Cyber Monday?

Answers

Answer: The answer is $49.80.

Step-by-step explanation:

First, you set up the equation.

[tex]\frac{?}{249} = \frac{20}{100} = ?[/tex]    

Now, you have to cross multiply, and divide to solve!

[tex]\frac{249*20}{100} = \frac{4980}{100} = 49.80[/tex]    This is only the number that could be saved not the actual amount you would get the AirPod Pros for with the 20% discount.

The answer is $49.80.

Find a unit rate: Joel ran 1500 meters in 5 minutes, 20 seconds.
Give your answer accurate to at least one decimal place.

Answers

Answer:

  4.6875 m/s

Step-by-step explanation:

You want the unit rate if Joel ran 1500 m in 5 minutes, 20 seconds.

Rate

The speed is found by dividing distance by time. In seconds, the time is ...

  min:sec = 5:20 = (5·60) +20 = 320 . . . . seconds

Then the rate is ...

  (1500 m)/(320 s) = 4.6875 m/s

<95141404393>

Nathalia's credit in her student loan shows -$12,450.98 while Nicoll's credit shows -$12,956.05.

Which statement correctly compares the two amounts?

Nathalia's credit in her student loan shows -$12,450.98 while Nicoll's credit shows -$12,956.05. Which statement correctly compares the two amounts?


A. -12,450.98 = -12,956.05

B. -12,450.98 < -12,956.05

C. |-12,450.98| > |-12,956.05|

D. |-12,450.98| < |-12,956.05|

Answers

Answer:

the answer to your question would be D

Answer:

D. |-12,450.98| < |-12,956.05|

Step-by-step explanation:

|-12,450.98| < |-12,956.05| =  12,450.98 < 12,956.05

Fredrick and Kate have 17 1/3 cups of flour. They want to make loaves of banana bread for a bake sale. Fredrick has a recipe that calls for 1 5/8 cups of flour
Kate has a recipe that calls for 1 3/4 cups of flour. Select the statements that are true.

Answers

Answer:

Fredrick's recipe will make 10 whole loaves & There will be less flour left over if Fredricks recipe is used

Step-by-step explanation:

Fredrick's recipe

17 1/3 ÷ 1 5/8 = 10 2/3

Kate's recipe

17 1/3 ÷ 1 3/4 = 9 19/21

So Fredrick's recipe will make 10 whole loaves

9 19/21 is less than 10 2/3 so there will be less flour left over if Fredricks recipe is used

Fredrick’s recipe will make 10 loaves and if Fredricks recipe is used there will be less flour left over

When answering equations that contain abolute values do I answer with the absolute value symbols ?
for example |-44| + |-34| do I answer with |-78| or 78 or |78|

Answers

Answer:

78

Step-by-step explanation:

|-44| + |-34|

Using absolute values

|-44|  = 44

 |-34| = 34

|-44| + |-34| = 44+34 = 78

You will not use absolute value symbols in your answer

It would just be 78, because you already found the absolute values for the original two number.

Angles X and Y are supplementary. Angle X measures 126.25° and angle Y measures (m − 10)°. Find m∠Y.

53.75°
63.75°
107.5°
117.5°

Answers

M = 63.75 that is the answer

The measure of angle y is 53.75°. Therefore, option A is the correct answer.

Given that, ∠x=126.25° and ∠y=(m − 10)°.

What are supplementary angles?

Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.

Here,

∠x + ∠y = 180°

⇒ 126.25°+(m − 10)° = 180°

⇒ (m − 10)° = 180°-126.25°

⇒ (m − 10)° = 53.75

⇒ m = 63.75°

So, ∠y=(m − 10)°= 53.75°

The measure of angle y is 53.75°. Therefore, option A is the correct answer.

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An aircraft carrier left Hawaii traveling west seven hours before a container ship. The container ship traveled in the opposite direction going 5 km/h slower than the aircraft carrier for six hours after which time the ships were 540 km apart. Find the aircraft carrier's speed.

Answers

As we know distance = rate*time

Aircraft carrier:

time is 13 hours, 7 hours before container ship left then the 6 hours container traveled.

Let s be speed of aircraft carrier

--> d = 13s

Container ship:

time is 6 hours

speed is 5 km/h slower, so s-5

--> d = 6(s-5)

Since they are going in opposite directions, add up the distances to find how far apart they are

--> 13s + 6(s-5) = 540

Now solve for s-

--> 13s +6s -30 = 540

--> 19s = 570

--> s = 30

Aircraft carrier was traveling at 30 km/h and container ship 25 km/h

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What the person said above me is the ring answer

A manager needs to rope off a rectangular section for a private party. The length of the section must be 7.6 ,meters. The manager can use no more than 28 meter s of rope. What inequality could you use to find th possible width, w, of the roped-off section?

Answers

Answer:

B

Step-by-step explanation:

Because I've done this test before it's just I remember it being B.

Answer:
W< 6.4 m

Step-by-step explanation:
we know that
The perimeter of a rectangle is equal to
P=2(L+W)

we know that
L=7.6 m

P < 28 m

substitute
2(7.6 + W) < 28

solve for W
(7.6 + W) <14

W <14 - 7.6

W< 6.1 m

A rate:
Group of answer choices

compares a variable to a table.

is an ordered pair.

multiplies fractions together.

compares two units..



0-0

Answers

Is it 9-56 that’s the answer

The mean temperature for the first 4 days in January was -6°C.
The mean temperature for the first 5 days in January was -5°C.
What was the temperature on the 5th day?
PLEASE HELP THIS IS DUE TOMORROW!!!!!!!!!!!!!!!!!!!!

Answers

Answer: -1°C
mean: subtract the smallest number from biggest number
hoped this helped!
-1°C you need to subtract

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel to the nearest whole inch?

Answers

Answer:

1271.7 inches.

Step-by-step explanation:

We know the diameter of the bike wheel is 27.

Radius of the wheel: 13.5 in.

The circumference of the wheel: 84.78

So let's say the distance traveled in 1 rotation. Based of on the circumference, we know that 1 rotation is 84.78.

So if the distance was traveled in 15 rotations we need to multiply 84.78 to 15. 84.78 x 15 = 1271.7.

You're welcome.

The bike travels 67 inches

Christina's town had an election last month. 189 people voted in the election and 36 did not vote. What percentage of the people voted?

Answers

Answer:

84%

Step-by-step explanation:

in photo

225×0.84

Answer:

Step-by-step explanation:

The percentage is the part/whole x 100 so we need to find the whole, which is 189+36=225 and the percentage is the amount of people who voted which is 189 and the part/whole x 100 is 189/225 = 0.84 0.84x100=84=84%

Angles A and B are complementary to each other. If m∠A = 37° and m∠B = (3x + 17)°, find the value of x.

x = 39
x = 21
x = 12
x = 6.7

Answers

x=12 bc complimentary means 90 so 90-37 =53 then you subtract off the 17 to get 36 then 36/3 =12

The value of x is 12.

The correct option is (B).

What are Complementary Angles?

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle.

Two angles are said to be complementary if their sum is 90 degrees. By deducting an angle from 90, one can find its complement.

For instance, 90° - 40° = 50° is the complement of 40°.

Given:

m∠A = 37° and m∠B = (3x + 17)°

As, the sum of Complementary angle is 90.

<A + <B= 90

37 + 3x+ 17 = 90

3x + 54 = 90

3x = 36

x= 12

Hence, the value of x is 12.

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PLEASE HELP- I KNOW NOTHING-

Answers

3.2x10^-5 is the answer
3.2e-5 or 3.2e^-5 would be the scientific notation.

pleasee helppppp !!
Hector paid $105 for 6 tickets to a hockey game. Each ticket costs the same amount.
What was the cost of each ticket in dollars and cents?

Answers

Answer:

$17.5

Step-by-step explanation:

For this problem, you go through division.

Because the tickets cost the same amount, the total must be split equally between each one.

$105/6

If you are not allowed to use a calculator, then use long division.

6 goes into 105 a max of 17 times. (6*17 = 102)

   

  _102__

6 | 105

    102

105 - 102 = 3

Check again. 6 does not go into three at all, so bring a point zero(.0) onto the 3 for visual clarity. It does not change the number itself.

  _102._

6 | 105.0

    102.0

        3.0

6 will go into 30, 5 times. 6*5 = 30

  _102.5

6 | 105.0

    102.0

        3.0

        3 0

           0

17.5 all you do is take 105 divided by 6 giving you how much each is
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