An arts academy requires there to be 3 teachers for every 54 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 130 students?

Answers

Answer 1

Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.

Step-by-step explanation:

54/3=18

60/6=10

130/10=13

Answer 2

Answer:

The academy has  19 students per teacher.

The academy has  12 students per tutor.

The academy needs  12 tutors.

Step-by-step explanation:


Related Questions

Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????

Answers

Answer:the answer is (-2,1)

Step-by-step explanation:

When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is located on a coordinate plane.

Angle C is at (1, 2).

This means that,

Angle C = (1, 2) is in the I Quadrant.

We have four Quadrant:

Quadrant I - The coordinates are in the form of (x, y)

Quadrant II - The coordinates are in the form of (x, -y)

Quadrant III - The coordinates are in the form of (-x, -y)

Quadrant IV - The coordinates are in the form of (-x, y)

If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.

So,

C = (1, 2) will become C = (-1, 2)

Thus,

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

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Pythagorean Theorem!!! someone pls help tyyy

Answers

Answer:

43.7

Step-by-step explanation:

7[tex]7^{2} +7^{2} =\sqrt{98} \\\sqrt{98}=9.899494937\\ That is the measurement for the dotted line. If we round it like they did in the example it would be 9.90. That is the measurement for all the sides of the square. \\We need the measurement for only 3 sides of the square and the two outer sides of the triangle (7ft)\\7ft + 7ft + 9.90 + 9.90 + 9.90 = 43.7\\\\Joshua added the 7's and they square rooted them for the Hypotenuse.\\Then the perimeter of all sides did not need any square roots.[/tex]

PLZ HELP ME ASAP!!!​

Answers

Answer:

A: 492 km

B: 120 m

Step-by-step explanation:

Since it's a 1:x scale, just multiply it.

120 x 4.1 = 492

Then add the unit.

Same thing for B.

4 x 30 = 120.

120 m

Solve for z.
A= x + 5 + Z

Answers

Answer:

Z = A - x - 5

Step-by-step explanation:

A = x + 5 + z

Make the equation equal to z by moving the x and 5 to the side of the = with A. Move the x and 5 by subtracting x and 5 from both sides.

A - x = 5 + z

A - x - 5 = z

So, Z is equal to A - x - 5

Solve the equation: −3x − 3 +7x = 17 (SHOW UR WORK)

Answers

Answer:

x=5

Step-by-step explanation:

−3x − 3 +7x = 17

Combine like terms

4x -3 = 17

Add 3 to each side

4x-3 +3 =17+3

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

Maria bicycled every day for 14 days. She traveled 294 miles. How many miles did she travel per day?

Answers

Answer:

Maria bicycled 21 miles per day.

Step-by-step explanation:

294/14=21

Hope this helps!

Tell whether the indicated angles are adjacent.

Answers

Answer: 3 would be a adjacent angle

Step-by-step explanation:

They don’t overlap

(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per ride. Which function can be used to determine how much money he has left over after x rides? f(x) = 1.5x + 70 f(x) = −1.5x + 70 f(x) = −1.5x − 70 f(x) = −20x + $90

Answers

Answer:

f(x)= $70 - $1.5*x

Step-by-step explanation:

You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:

$5 + $15= $20

Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:

$1.5*x

So the money spent after x rides can be expressed as:

$20 + $1.5*x

Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:

$90 - ($20 + $1.5*x)

$90 -$20 -$1.5*x

$70 - $1.5*x

By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:

f(x)= $70 - $1.5*x

If f(x) is a linear function and f(-4) = 0 and f(2) = -3, what is the value of f(-8)?

Answers

Answer:

answer is [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

f(x)=y

basically this is just showing the y values

Answer:

the answer is - 3/2

Step-by-step explanation:

What is the slope of the line that passes through the points (-2,-12) and (1,-3)?

Answers

Answer:

3

Step-by-step explanation:

Change in Y/Change in X = Slope

Answer:

3

Step-by-step explanation:

(-3+12)/(1+2)

9/3

3

0= (x-1)^2 -4 and and show explanation please

Answers

Answer:

x=-1, x=3

Step-by-step explanation:

to solve by factoring:

1. swap the sides:  

0=(x-1)^2-4

2. expand the expression:  

(x-1)^2-4=0

3. rewrite and calculate:

x^2-2x+1-4=0

4. factor

x^2+x-3x-3=0

5. Factor... again

x(x+1)-3(x+1)=0

6. separate

(x+1) (x-3)=0

7. solve

x+1=0, x-3=0

8. and you end up with 2 solutions

x=-1, x=3

x=-1. x=3 hopefully this is correct

In a sale a clothes shop reduces its prices by 25% a shirt usually costs $34 how much it’s after the sale?

Answers

Answer:

$25.5

Step-by-step explanation:

For which function is f(5) = 2?
2x
y
107
1
3
f(x) = x-3
2.
5
9
8
7
6
5
4
3
2
3
7
4.
9

Answers

Answer: the answer is A ( first one)

Step-by-step explanation:

i just took it and got it write

which figures show that M is a midpoint? select all that apply.​

Answers

Step-by-step explanation:

a D&C show that m is the midpoint

The required figures that show the mid-points are (c) and (d).

What is the midpoint?

A midpoint is a point on the line whose distance from both ends of the line is equal.

Here,
Figures are shown where in figure (A) only point M is shown which does not describe itself. In figure (B) M is located so far from B and there is no point on the other side of M. In figure (C) and (D) Point M is located between two certain points with equal measures.

Thus, the required figures that show the mid-points are (c) and (d).

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Please help!! There’s 2 questions, Explain step by step pls :)

Answers

Answer:

I'm late but the answer to the question on the left is 21 and the answer to the question on the right is 3.

Step-by-step explanation:

Remember that you have to complete the equations in order of PEMDAS.

19-3×4÷(-6)

For this equation, you would do 3×4 first (which equals 12) then divide that by -6 (Which equals - 2) and finally you would subtract that from 19. 19 - (-2)= 21

6(-8) / -12 - 1

For this equation you would do 6(-8) first (which equals -48) then divide that by -12 (which equals 4) and finally subtract 1 from that 4. 4-1=3

Beetween 2001 and 2011 the population of a town increased by 8% in 2001 the population was 34,342 calculate the population in 2011

Answers

34,342-100%
x-108%.
X=108*34,342/100=37089,36 or 37089

A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?

Which of the following equations could be used to solve the problem?

x + (11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
25x + 10(11 - x) = 1.70

Answers

0.10x + 0.25(11 - x) = 1.70

It has the correct values

P = R - C solve for C

Answers

Answer:

C = R - P

Step-by-step explanation:

Step 1: Write equation

P = R - C

Step 2: Subtract R on both sides

P - R = -C

Step 3: Divide both sides by -1

-P + R = C

Step 4: Rewrite

C = R - P

Answer:

C=R-P

Step-by-step explanation:

First move your terms

C+P=R then move variable to the right-hand side

C=R-P is your solution

PLS HURRY!!!!<3 A swimming pool has about 603 cubic feet of water. The pool liner has a small hole and is leaking at a rate of 1.5 cubic feet each hour. Ruby wrote the equation
V(h) = -1.5h + 603 to represent the scenario. Describe what each variable represents in the function, and how they relate to each other.

Answers

Answer:

hi did you find the answer ? if so can you please help me ?

Step-by-step explanation:

Answer:

Ruby function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume as a dependent variable

Step-by-step explanation:

I got a 100%

True or False: Only like terms can be combined. A True B False

Answers

Answer:

True

Step-by-step explanation:

Like terms like 4x-3x the x term. is a like term

6-4x can be subtracted because they aren't the same.

High Hopes^^

Barry-

Answer:

i believe this false but im not positive

Which statements about variables are true? Select all that apply.

Answers

Answer:

Step-by-step explanation:

True:

Any letter can be used as a variable (yes)

Variables are used for numbers that haven't been defined yet (maybe)

All the rest are false

Hope this helps!

The true statements about variables are:

ii) Any letter can be used as a variable.

v) Variables are used for numbers that haven't been defined yet.

Explanation:

i) This statement is not true. Equations can involve multiple variables. For example, the equation "x + y = 10" involves two variables, x and y.

ii) This statement is true. In mathematics, variables are represented by letters, and any letter can be used to represent a variable. Common choices include x, y, z, a, b, c, etc.

iii) This statement is not true. While x is commonly used as a variable in many mathematical contexts, it is not the only letter that can be used. As mentioned earlier, any letter can be used as a variable.

iv) This statement is not true. Variables are specifically used in mathematical operations. They allow us to represent unknown quantities or values that can change. Mathematical operations involving variables are fundamental in algebra and many other branches of mathematics.

v) This statement is true. One of the primary purposes of variables is to represent numbers that haven't been defined yet. Variables act as placeholders for unknown values, and they allow us to generalize mathematical relationships and solve equations. Once we assign specific values to variables, the equations or expressions can be evaluated or solved.

In summary, variables are flexible symbols that can represent unknown or changing values in mathematical equations and expressions. They can be any letter and are essential for performing mathematical operations and solving problems involving unknown quantities.

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HEEEEEEELP I CAN'T GET THIS WRONG
WILL GIVE BRANI AND PONITS

Answers

Answer:

Step-by-step explanation:

4 (x -2 ) - 3 = 7x

expanded = 4x - 8 (you have to multiply the -2 as well) -3 = 7x

Answer:

I know im late but i belive i need more information

Step-by-step explanation:

Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and explain what it means in the context of the situation.

Answers

Answer:

it not

Step-by-step explanation:

help me with this question in the picture please :(

Answers

Step-by-step explanation:

possibly A

Answer:

B. r = C/2π

Explanation:

The problem asks you to solve for r which means you have to get r by itself, or isolate the variable. You would do this by dividing both sides of the equation by 2π. The right side of the equation would cancel out, leaving you with r. The left side of the equation would simply be C/2π because C/2π cannot be simplified.

You could write your answer like this: C/2π = r

Or like this: r = C/2π

Here is my work just in case you're a visual learner:

brainlest thats it man/

Answers

can u answer my question?
You are so right man

A bear was climbing a tree. It took a few steps forward and then slipped a few steps backward. After taking 12 total steps of equal distance, it was back at its starting position. How many steps did the bear take in the forward and backward directions? (1 point)

7 steps forward and 5 steps backward
4 steps forward and 8 steps backward
5 steps forward and 7 steps backward
6 steps forward and 6 steps backward

Answers

Answer:

it would be 6 and 6 since it states equal distance and it also says a few forward and a few backward. It makes it sound like this was an equal amount each way

Step-by-step explanation:

Answer:

6 steps forward and 6 steps backward

Step-by-step explanation:

If the bear ended up back at its starting position, this means that the distances forward and backward have to be the same.

Since 6 = 6, this answer is correct.

The bear would have to take the same amount of steps forward and backwards.

Add the following: 3l(l – 4 m + 5 n) and 4l( 10 n – 3 m + 2l) ​

Answers

Expand the brackets and then add like terms together:
31 - 124m + 155n + 410n - 123m + 861
892 - 247m + 565n

Answer:

11L^2‒24LM+55Ln

Step-by-step explanation:

first let's take L instead of l

3L(L‒4m+5n)+4L(10n‒3m+2L)

3L^2‒12LM+15Ln+40Ln‒12Lm+8L^2

3L^2+8L^2‒12LM‒12LM+15Ln+40Ln

11L^2‒24LM+55Ln

i think it is easy to understand&i hope it helps you

NEED HELP ASAP! Tysm

Answers

Answer:

7

Step-by-step explanation:

First you gotta plug in the values and you get 5*2 - 6(-4)/7

5 squared is 25

-6 times -4 is +24

25 + 24= 49

49/7= 7

Hope this helps! :)

Which of the following expressions is equal to 2x^2+8

Answers

Step-by-step explanation:

its a photo hope this will help you

Solve for x show your work 4(x+1)=-3x-10 plz show work

Answers

Answer:

4(x + 1)= -3x - 10

on the bracket 4( x +1)

4x + 4 = -3x - 10

collect like terms

4x + 3x = -10 - 4

7x = -14

divide both sides by 7

x = -2

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