A teacher gave a test to three classes that contained 27, 25, and 23 students. A total of 18 students scored an A on the test. Based on this information, which statement is true?​

Answers

Answer 1
Ratio of classes A, B, C = 4 : 6 : 5, respectively
4 + 6 + 5 = 15
So, class A represents 4/15 of the TOTAL population
Class B represents 6/15 of the TOTAL population
Class C represents 5/15 of the TOTAL population

So, weighted average of 3 groups combined = (4/15)(65) + (6/15)(80) + (5/15)(77)
= 260/15 + 480/15 + 385/15
= 1125/15
= 75

Answer: B

Related Questions

2. A quadratic function has a vertex at (3,-10) and passes through the point (0,8).
Which of the following equations best represents the function?
F.y = 2(x + 3)^2 + 8
G.y = 2(x + 3)^2 - 10
H. y = (x - 3)^2 - 10
J.y = 2(x - 3)^2 - 10

Answers

Given:

Vertex of a quadratic function is at (3,-10).

The quadratic function passes through the point (0,8).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]              ...(i)

Where, (h,k) is vertex and a is a constant.

Vertex of a quadratic function is at (3,-10). So, [tex]h=3,k=-10[/tex].

[tex]y=a(x-3)^2+(-10)[/tex]

[tex]y=a(x-3)^2-10[/tex]              ...(ii)

The quadratic function passes through the point (0,8).

Putting [tex]x=0,y=8[/tex] in (ii), we get

[tex]8=a(0-3)^2-10[/tex]

[tex]8+10=a(-3)^2[/tex]

[tex]18=9a[/tex]

Divide both sides by 9.

[tex]2=a[/tex]

Putting [tex]a=2[/tex] in (ii), we get

[tex]y=2(x-3)^2-10[/tex]

Therefore, the correct option is J.

Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?

Answers

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Answer:

84 miles

Step-by-step explanation:

find the area of each circle (use pi =3.14)

16mm ​

Answers

Answer:

200.96

803.84

Step-by-step explanation:

I wasn't sure if 16mm was the radius or diameter. If it's the diameter then use the first answer. If it was the radius then use the second answer.

In order to find the area of a circle use equation

[tex]A=\pi r^2[/tex]

r = radius, which is half of the line along the circle. If you have the diameter simply divide it by two and you have the radius.

56 magazines to 35 books

Answers

Answer:5:3

Step-by-step explanation:

Answer:

Mango is the answer

Step-by-step explanation:

what is the minus 60 plus 40 =x plus y= x+9

Answers

60+40=x

y=x+9

MInus

x=100

y=109

Diffrence 9

Answer:

x = -20

y = -11

ENGAGEMENT: Is This Enough?
Solomon thinks that this figure has enough information to figure out the values of
a and b.
90°
a
7
Do you agree? Explain your reasoning,

Answers

Answer:

Step-by-step explanation:

Solve for u. Show all work, be sure to use the equation editor.


Help will mark brainliest

Answers

Answer:

u = 2√3 ≈ 3.46410162

Step-by-step explanation:

Because this is a right triangle, you can use the trigonometric formulas:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

Here, we have the measure of an angle, 60°. Side u is opposite to it and the hypotenuse, 4, is given. We can use these numbers to work with:

sine = opposite side/hypotenuse

sin(60) = u/4

sin(60)/1 = u/4

Cross multiply:

u = 4 (sin(60))

Input into calculator:

u = 2√3 ≈ 3.46410162

Find the GCF of each pair of monomials.
48t, 60st

Answers

Answer:

The GCF is 12t

Step-by-step explanation:

Here, we want to calculate the greatest common factor of the given polynomials

To do this, we need to write each as the product of its prime factors

We have this as;

48t = 2 * 2 * 2 * 2 * 3 * t

60st = 2 * 2 * 3 * 5 * s * t

we then bring out pairs of similar terms

So the GCF would be;

2 * 2 * 3 * t = 12t

find the solution of given expression

[tex] \sqrt{98 \times 2} [/tex]

Answers

Answer:

solution:

[tex] \sqrt{98 \times 2} [/tex]=[tex] \sqrt{196} [/tex]=[tex] \sqrt{14²} [/tex]=±14 is your answer

Answer:

[tex]\sqrt{98\cdot \:2}[/tex]

[tex]=\sqrt{196}[/tex]

[tex]=\sqrt{14^2}[/tex]

[tex]=14[/tex]

OAmalOHopeO

Were is the slope-intercept ?

Answers

Answer: The slope intercept is at (0,5)

Step-by-step explanation: This is because the line intercepts the y-axis at (0.5).

One card is drawn from a standard 52-card deck and then replaced, and then a second
card is drawn. What is the probability that the first card is a red 8 and the second is a
black 10?

Answers

Answer:

1/676

Step-by-step explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8)  = number of red 8's/ total

               = 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black)  = number of black 10's/ total

               = 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676

1/676




Step by step explain action



Three people take 2 hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes

Answers

Answer:

1 hour and 48 minutes

Step-by-step explanation:

270/2 hours = 135 per hour for 3 people

135/3 people = 45, so each person delivers 45 per hour

45 x 5 people =225 per hour

405/225 = 1.8 hours

It will take 1.8 hours for five people to deliver leaflets to 405 houses.

Given that, 3 people take 2 hours to deliver leaflets to 270 houses.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

270/2 hours = 135 leaflets per hour for 3 people

135/3 people = 45, so each person delivers 45 leaflets per hour

45 x 5 people =225 per hour

405/225 = 1.8 hours

Hence, it will take 1.8 hours for five people to deliver leaflets to 405 houses.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

If f(x)=5x0+4x-3 then f(a)=

Answers

Answer:

f=

1

/4

y+

−1

/2

Step-by-step explanation:

Let's solve for f.

y=5x^0+4x−3

Step 1: Flip the equation.

4x+2=y

Step 2: Add -2 to both sides.

4x+2+−2=y+−2

4x=y−2

Step 3: Divide both sides by 4.

4x

/4

=

y−2

/4

x=

1

/4

y+

−1

/2

=f=

1

/4

y+

−1

/2

brainliest please?

What are the factors of the product represented below?
A. (3x + 1) (2x + 2)
B. (3x^3 + 2)(3x^3 + 2)
C. (3x + 1x)(3x + 2)
D. (3x + 2)(3x + 1)

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.

Answers

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Look at the graph what type of transformation has occurred

Answers

Wait I’m confused can we at least see the picture

Please help with this math question asap

Answers

Answer:

150

Step-by-step explanation:

us I'd send bag I'd send veg svdudhvgdkdbdbdudduddh

How would you evaluate this?

Answers

Answer:

28

Step-by-step explanation:

Im from the long comment this is the answer

576+b^2=900

b^2=324

√324

b= 18

so 18+10 = 28

Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?

Answers

Answer:

27x30=810

Step-by-step explanation:

Answer: Mr.Smith ordered 810 baseballs

Step-by-step explanation:

To find the answer we need to:

1) Since, we know that Mr.Smith ordered 27 boxes and 30 baseball are in each of them. We need to multiply.

27 x 30 = 810

Help me, please !!!!!

Answers

Answer: 100

Hi!

ok so the Pythagorean theorem is

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

2. Antonio dispone de un capital de $9,000.00


en una cuenta al 4% de interés anual y o


sabiendo que el capital acumulado al cab


one de un capital de $9,000.00 dólares, del que una parte la deposita


enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes


que el capital acumulado al cabo de un año es de $9,400.00 dólares.

Answers

Answer:

La respuesta al ejercicio es:

$4,000.00 al 5% anual.$5,000.00 al 4% anual.

Step-by-step explanation:

Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:

x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.

Y el siguiente sistema de ecuaciones:

x + y = 9000x * 5% + y * 4% = 400

En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:

   2. x * 0.05 + y * 0.04 = 400

Lo cual también se puede representar como:

   2. 0.05x + 0.04y = 400

Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:

x + y = 9000y = 9000 - x

Y la reemplazaré en la segunda ecuación:

0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400

Ahora operamos:

0.05x + 360 - 0.04x = 400

Restamos las variables x:

0.01x + 360 = 400

Y despejamos el valor real de x:

0.01x = 400 - 360x = 40 / 0.01x = 4000

Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:

x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000

Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.

what is the unknown fraction 2/10 +__=67/100

Answers

47/1000.2 + x = 0.67subtract 0.2 from both sidesx = 0.47

Hurry this is due in 45 minutes! I need help

Answers

Answer: B

Step-by-step explanation:

18%/38%= about 47%

Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?

Answers

If I did it right, Kate is 12 years and 6 months

No links please
The sum of two numbers is 147. The difference of the two numbers is 25.
What are the two numbers? Show your work.

Answers

86 and 61.

x + y = 147
x - y = 25

I always found second setting that second equation up was hardest. How do I know which one comes first? You just keep them in the same order as the first math equation.

So let’s solve for x in terms of y:
x - y = 25
x = 25 + y

Then substitute that into your first equation:
x + y = 147
(25 + y) + y = 147
2y = 122
y = 61

x = 25 + y = 25 + 61 = 86

Determine the missing length. Show your work!

Answers

Answer:

15

Step-by-step explanation:

Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

C = the square root of A squared + B squared.

plug in the numbers

C = the square root of 9 squared + 12 squared = 15

Answer:

15

Step-by-step explanation:

[tex] {9}^{2} + {12}^{2} = c ^{2} \\ 81 + 144 = {c}^{2} \\ 225 = {c}^{2} \\ \sqrt{225} = c \\ \sqrt{225} = 15[/tex]

A scale drawing of a building needs to be made using the scale 1 in = 200 ft. How tall will the building in the scale drawing be if the building is 2000 ft tall?
The height of the building in the scale drawing will be in. (Simplify your answer.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Type here to search
О

Answers

10in would be the appropriate scale factor for the drawing. 2000 is 10x200. If each inch represents 200 feet, then you would need 10 to reach the desired scale factor of the original building

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer:

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Step-by-step explanation:

fuel efficiency = distance in miles/gallons of gas

fuel efficiency * gallons of gas = distance in miles

Car 1: 20 mpg

Car 2: 40 mpg

Total miles: 1100

Miles of Car 1: x

Miles of Car 2: 1100 - x

Total gallons: 35

Gallons for Car 1: y

Gallons for Car 2: 35 - y

Car 1:

fuel efficiency * gallons of gas = distance in miles

20 * y = x

Car 2:

fuel efficiency * gallons of gas = distance in miles

40 * (35 - y) = 1100 - x

20y = x

1400 - 40y = 1100 - x

20y = x

x = 40y - 300

40y - 300 = 20y

20y = 300

y = 15

35 - y = 35 - 15 = 20

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

A circle has an area of in2. If it is dilated by a scale factor of 5/4, what is the area after dilation

Answers

The question is incomplete, let's take an hypothetical value for the Area of the circle ;

Let the are aid the circle = x in²

Answer:

Kindly check explanation

Step-by-step explanation:

The scale factor = 5/4

The initial area of square = x in²

The area of the circle after dilation will be :

Scale factor * initial area of circle

5/4 * x in²

Area after dilation = 5/4(x) in²

Just substitute the original value of the square for X in the solution to obtain the exact answer.

Find the area of the given figure. Show your work!

Answers

The area of the figure above is 53
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