Analia is a school district manager. Here are some details about two schools in her district for the last school year: School A School B Number of students 300030003000 400040004000 Number of teachers 190190190 380380380 Graduation rate 86\%86%86, percent 90\%90%90, percent Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000 % of students in sports club 62\%62%62, percent 68\%68%68, percent Number of sports medals won 999 777 SAT average 120012001200 105010501050 SAT range (max-min) 900900900 700700700 Analia wants to know which school has higher academic achievements relative to the budget per student. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers:

Answers

Answer 1

The two different quantities to measure which school has higher academic performance are :

• Graduation rate / Budget per student

• SAT average / Budget per student

In other to define a quantity which measures academic achievement;

We take the ratio of a related metric or parameter which is a measure of the academic performance of the student in each school and the budget per student for each school .

The parameters which could be used to measure academic achievement are :

• The graduation rate of each school.

• The SAT average of each school.

Hence, defining the quantity to measure academic achievement relative to budget per student could be expressed as :

• Graduation rate / Budget per student

• SAT average / Budget per student

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Answer 2

In conclusion:1) These are the two definitions Analia came up with to define the quantity:Graduation rate divided by teachers per student, SAT average divided by teachers per student2) According to both definitions, school A has higher academic achievements relative to the number of teachers per student.


Related Questions

I really need some help! I'm really bad with mathematics/geometry! Given paralleogram ABCD≅parallelogram EFGH, which congruency statement is true? A. ∠B≅∠E B. BC≅GH C. ∠C≅∠G D. AD≅EF

Answers

Answer:

C

Step-by-step explanation:

The congruency statement ∠ C ≅ ∠ G  is the only true statement.

So option C is the correct option.

Given,

parallelogram ABCD parallelogram EFGH

We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.

The given options are:

A. ∠B≅∠E

B. BC≅GH

C. ∠C≅∠G

D. AD≅EF.

What are parallelograms and their properties?

It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.

Properties of a parallelogram :

- The opposite sides are parallel and congruent.

- The opposite angles are equal.

- The consecutive angles are supplementary.

- If any one of the angles is a right angle, then all the other angles will be at    

 a right angle.

- The two diagonals bisect each other.

So if we compare two parallelograms the above properties are congruent.

Let's draw the two parallelograms ABCD and parallelogram EFGH.

 A____________ B                    E____________F

   \                            \                       \                         \

     \                            \                       \                         \

       \                            \                        \                         \

        D_____________C.                   H____________G

The following are congruent:

AB≅EF

BC≅FG

CD≅GH

AD≅EH

∠ A ≅ ∠ E

∠ B ≅ ∠ F

∠ C ≅ ∠ G

∠ D ≅ ∠ H

Checking the above congruent we see that we have  ∠ C ≅ ∠ G in the given option.

Thus, ∠ C ≅ ∠ G is the only correct option.

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Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5x-4+3x=36[/tex]

Combine like terms:

[tex]8x-4=36[/tex]

Add 4 to both sides. The left side cancels:

[tex](8x-4)+4=(36)+4\\8x=40[/tex]

Divide both sides by 8:

[tex](8x)/8=(40)/8\\x=5[/tex]

Thus, the value of x is 5.

Answer:

The value of x=5

Step-by-step explanation:

1) 5x-4+3x=36

2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40

3) (Combine like terms, 5x and 3x) 8x=40

4) (Solve: divide each side by 8) x=40

5) answer: 5

I hope this helps let me know if I am wrong and good luck

can anyone help me out with this? If possible, please do all of them

Answers

Answer:

this is all I could find

Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28

Answers

Answer:

12x -28

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

Distribute

20x -24  -8x -4

Combine like terms

12x -28

In general, the value measured by the horizontal axis is called the ________
variable.

Answers

Answer:

independent

Step-by-step explanation:

We put the independent variable on the x axis ( or horizontal)  and the dependent variable on the y axis ( or vertical)

Answer:

independent

Step-by-step explanation:

-72 + 12 x 4 / (-6) solve it

Answers

Answer:

The answer is -80.

Step-by-step explanation:

First, you need to multiply 12x4.

-72+12x4/(-6)

-72+48/(-6)

Now, we divide 48/-6. (Using P.E.M.D.A.S)

-72+48/-6

-72+-8

Finally, we add the negatives.

This gives us... -80 as your answer.

If AC = 14, find the value of x. Then find AB and BC.

Answers

Your question is incomplete; However, a similar question is:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

This should serve as a guide

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]AB = x[/tex]

[tex]BC = 2x + 2[/tex]

[tex]AC =14[/tex]

Required

Determine x, AB and BC.

Since B is between A and C;

[tex]AB + BC = AC[/tex]

Substitute x for AB; 2x + 2 for BC and 14 for AC

[tex]x + 2x + 2 = 14[/tex]

[tex]3x + 2 = 14[/tex]

Collect Like Terms

[tex]3x = 14 - 2[/tex]

[tex]3x = 12[/tex]'

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in

[tex]AB = x[/tex]

[tex]BC = 2x + 2[/tex]

[tex]AB = 4[/tex]

[tex]BC = 2(4) + 2[/tex]

[tex]BC = 8 + 2[/tex]

[tex]BC = 10[/tex]

Can someone please help me with 1-9 Sorry 25 points is all I have

Answers

Answer:

see below

Step-by-step explanation:

5.

VW = 4x - 20

UW = 6X - 35

UV = 19

find x to get UW

UV + VW = UW

19 + 4x - 20 = 6x - 35

x = 17

VW = 4(17) - 20

VW = 48

UW = 6(17) - 35

UW = 67

----------------------------------------------------

6.

HJ = 7x - 27

HI = 3x - 5

IJ = x - 1

find the value of x

HI + IJ = HJ

3x - 5 + x - 1 = 7x - 27

x = 7

----------------------------------------------------

7.

BC = 4x - 29

CD = 5x - 9

BD = 7x - 10

find each value

BC + CD = BD

4x - 29 + 5x - 9 = 7x - 10

x = 14

BC = 4(14) - 29

BC = 27

CD = 5(14) - 9

CD = 61

BD = 7(14) - 10

BD = 88

----------------------------------------------------

8.

BD = BC

BD = 5x - 26

BC = 2x + 1

AC = 43

find AB

BD = BC

5x - 26 = 2x + 1

x = 9

AB + BC = AC

AB + 2(9) + 1 = 43

AB = 24

----------------------------------------------------

9.

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

KJ = 28

find LJ

MK + KN = MN

7x - 10 + x + 3 = 9x - 11

x = 4

KJ + LK = LJ

28 + 7(4) - 10 = LJ

LJ = 46

if x=2y+1 what is th e value of 10y-5x

Answers

[tex]x=2y+1[/tex]

what is [tex]10y-5x[/tex]?

all you gotta do is substitute the value of [tex]x[/tex] in the equation:

[tex]x=2y+1\\10y-5(2y+1)[/tex]

now solve for [tex]y[/tex]:

[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]

so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]

Identify the property shown by the equation.
14 × 6 = 6 × 14

Answers

it’s the reflexive property

2z-1= -9+ z i need the answer RIGHT NOW

Answers

Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064

Answers

Answer:

Step-by-step explanation:

(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064

the answer is D

у=x+5 3x+y=25 substitution

Answers

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

[tex]y=x+5\\3x+y=25[/tex]

To solve, we can use substitution.

Substitute the first equation into the second:

[tex]3x+y=25\\3x+(x+5)=25[/tex]

Combine like terms:

[tex]4x+5=25[/tex]

Subtract 5:

[tex]4x=20[/tex]

Divide by 4:

[tex]x=5[/tex]

Now, substitute this into the first equation:

[tex]y=x+5\\y=5+5[/tex]

Add:

[tex]y=10[/tex]

So, our answer is (5,10)

And we are done :)

What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?

Answers

Answer:

[tex]832 \sqrt{13} [/tex]

Step-by-step explanation:

This question means

[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]

Lets solve it in simplest way

[tex](4 \sqrt{13} {)}^{3} [/tex]

[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]

[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]

[tex]64 \times 13 \times \sqrt{13} [/tex]

[tex]832 \sqrt{13} [/tex]

I hope u like it ‍❤️‍

cooment me for any question

Which number has a 2 with a value ten times less than the 2 in the number 725,983?

Answers

Answer:

"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"

First, the value of the 2 in the number 725,983 can be find by separatig each digit as:

725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.

Then the value of the 2 is: 20,000.

Now we want a number that has a 2 with a value then times less than 20,000.

this is:

20,000/10 = 2,000.

Then we want a number that has a 2 in the thousands place.

For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)

PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}

Answers

A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}

B. {(-3,1), (4,2), (3,-1), (2,-4)}

C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}

D. {(3,-2), (-3,2), (5,-2), (-1,-1)}

Function is something like domain mustn't have the same value in a single set. For example,

{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)

{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.

For the A, It's not function because of (2,1) and (2,3)

For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)

For the C, Not function because of (4,2) and (4,-1)

For the D, it's function.

What is the square of 9?

Answers

Answer:

3

Step-by-step explanation:

sqrt9 = 3

I’m pretty sure it is 81.

theo can run 1/2 mile in 1/10 hour. If theo continues at this rate how far can he run in a hour?

Answers

1/2 mile x 10 = 5 miles

(-3) + (+1) =
steps of solving

Answers

Answer:

-2

Step-by-step explanation:

Opening brackets,

-3+1=-2

Answer:

-2

Step-by-step explanation:

3 - 1 = 2

so it's basically adding 1 to the -3 so it would be -2

Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years

Answers

Answer:

4 years

Step-by-step explanation:

As 4*8 is 32

So 144+32 is 176

And 5*4=20

108-20 is 88

88*2 is 176

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point

Answers

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

What is the point?

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

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The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?

Answers

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

please help me, i will give 20 pts and choose brainlest too!

Answers

Answer:

ABC = 36 , DBC = 44

Step-by-step explanation:

(7x+2) + (7x -6) = 8=

14x -4 = 80

14x = 84

x = 6

Evalute this expression: -4y + 7y - 10 + 3

Answers

Answer:

3y-7

Step-by-step explanation:

-4y + 7y - 10 + 3

Combine like terms

-4y + 7y      - 10 + 3

3y              -7

Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.

It is a rational number.
It is a whole number.
It is a natural number.

Answers

Answer:

It is a rational integer.

Step-by-step explanation:

'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].

It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.

Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.

'-3' is a rational number and an integer.

Hope this helps.

find the slope of a line perpendicular to y= -6x+4

Answers

Answer:

-6

Step-by-step explanation:

y= -6x+4 is in y=mx +b

[tex]y= -6x+4 \\Slope =m = -6[/tex]

PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS

Answers

Q1

Answer:

[tex]x \leqslant \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?

Answers

Answer:

1000 tennis balls will produce the minimum  cost

Step-by-step explanation:

Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]

Where C(x)  is the  total cost in dollars

x is the number of tennis balls produced

We are supposed to find number of tennis balls will produce the minimum

cost.

Lead coefficient = 0.01

The lead coefficient is positive, the parabola opens up.

Thus ,the minimum is at the vertex.

[tex]x=\frac{-b}{2a}[/tex]

So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]

Substitute the value of x in given equation:

C(x)=200-10(1000)+0.01(1000)^2

C(x)=200

Hence 1000 tennis balls will produce the minimum  cost

cosθ=0.5 (to nearest degree)

Answers

Step-by-step explanation:

Hey, there!!

Given,

cos theta = 0.5

To convert it into angle, you have to take cos to right side making it (cos inverse).

Therefore, theta = cos inverse (0.5)

= 60°.

Hope it helps......

Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9

Answers

y=x^2 moves right 4, down 9.
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