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?

Answer:

$25.5

Step-by-step explanation:

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

Answer:

it not

Step-by-step explanation:

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%

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).

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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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:

Step-by-step explanation:

possibly A

Step-by-step explanation:

its a photo hope this will help you

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]

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.

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

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

Answer: the answer is A ( first one)

Step-by-step explanation:

i just took it and got it write

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:

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

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).

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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Answer: 3 would be a adjacent angle

Step-by-step explanation:

They don’t overlap

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

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

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

Answer:

Maria bicycled 21 miles per day.

Step-by-step explanation:

294/14=21

Hope this helps!

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! :)

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

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

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

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

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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0.10x + 0.25(11 - x) = 1.70

It has the correct values