There are 28 girls and 21 boys in a class. What is the ratio, in simplest terms, of the number of girls to the number of boys? (show the work please)

Answers

Answer 1

Answer: The simplified ratio is 4:3

Step-by-step explanation:

To find the ratio of the number of girls to the number of boys, we can divide the number of girls (28) by the number of boys (21) to get:

28 ÷ 21 = [tex]\frac{28}{21}[/tex]

Next, we can simplify the fraction further to get [tex]\frac{4}{3}[/tex], which equals 4:3.


Related Questions

In this problem, assume that the probability that a person is born on a given day is 1/365. (For simplicity, ignore Feb 29.) In a group of 100, what is the expected number of pairs of people who have the same birthday

Answers

Answer:

the expected number of pairs of people who have the same birthday is 14

Step-by-step explanation:

The computation of the expected number of pairs of people who have the same birthday is as follows:

= 100 (100 - 1) ÷ 2 × 365

= 100 × 99 ÷ 730

= 9900 ÷ 730

= 13.5616

= 14

Therefore, the expected number of pairs of people who have the same birthday is 14

Which line is parallel to y = -2x + 8

Answers

Answer:

y=-2x-7

Step-by-step explanation:

after putting the choices with the question in a graph I found that that ones stays in a line with the question

Brainliest please!!

A newsstand spends $600 a month on rent and electricity, and it spends $2
for each magazine that it sells. The newsstand charges $5 for each
magazine. If n is the number of magazines, which equation represents the
profit function of the newsstand?
O A. p = 2n + 600
B. p = 3n-600
O c. p = 600n + 3
O D. p = 5n-600

Answers

Answer: B. p = 3n-600

Step-by-step explanation:

Cost = 2n + 600Earned = 5n

Profit(p) = Earned - Cost

p = 5n - (2n + 600) = 5n - 2n - 600 = 3n - 600

The equation representing the profit function of the newsstand is

p = 3n - 600

Option B is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The revenue generated by selling n magazines is 5n dollars.

The cost of selling n magazines is the sum of the cost of purchasing n magazines and the fixed cost of rent and electricity, which is $2n + $600.

Now,

The profit function can be represented by:

p = revenue - cost

= 5n - (2n + 600)

= 3n - 600

Thus,

The equation representing the profit function of the newsstand is

p = 3n - 600

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

Suppose you choose a marble from a bag containing 4 red marbles, 2 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue).

Answers

Answer:

4/27

Step-by-step explanation:

total number of marbles=9

probability of red=4/9

since you returned the first marble, the total number of marbles remains the same

prob(Blue)=(3/9)=1/3

P(red then blue)=(4/9)*(1/3)

=4/27

For the function in the graph, find the values of f(-4), f(-1), and f(1).​

Answers

Answer:

f(-4) = -1

f(-1) = -4

f(1) = 4

Step-by-step explanation:

We need to find the y value for the x values

f(-4) means find the y value for x= -4

f(-4) = -1

f(-1) = -4

f(1) = 4

I need help guys thanks so much

Answers

Answer: A & C

Step-by-step explanation:

[tex]i=\sqrt{-1}[/tex]

[tex]\sqrt{-1} *\sqrt{4} =\sqrt{-4}[/tex]

You can also simplify the above by taking the -4 out of the radical

It becomes 2 x [tex]\sqrt{-1}[/tex], which can be simplifed to C

what is the value of 3n +1 when n =4

Answers

Answer:

13

Step-by-step explanation:

since n is 4 substitute it where there's n in the equation

3(4)+1

12+1

13

I hope this helps

Answer:

13

Step-by-step explanation:

so you start with the equation 3n+1

since you know n=4 then u put it in place of n making the equation 3*4+1

then you multiply and it's 12+1 which equals 13

If using the method of completing the square to solve the quadratic equation x 2 − 9 x − 8 = 0 x 2 −9x−8=0, which number would have to be added to "complete the square"?

Answers

Answer:

Add 81/4 to both sides.

Step-by-step explanation:

x^2 − 9x − 8 = 0

x^2 - 9x = 8

Take the coefficient of the x term: -9

Divide by 2: -9/2

Square it: 81/4

Add 81/4 to both sides.

The best basketball player

Answers

Answer:

c

Step-by-step explanation:

hope it helps!!!!!!!!!!!!!!

Help with this Area question

Answers

Step 1: Find the area of the rectangle

A = base x height

A = 39 x 20

A = 780

Step 2: Find the area of the semi-circles

---Two semi-circles is the same as one whole circle, so I will be finding the area of one whole circle.

A = pi x r^2

A = pi x 10^2

A = 100pi = 314

Step 3: Find the area of the figure

Area = area of the rectangle - area of the semi-circles

A = 780 - 314

A = 466 cm^2

Hope this helps!

Answer:

466 cm^2

Step-by-step explanation:

This one is done basically the same as the other.

Rectangle = 20 x 39

Circle = (3.14) x 10^2

Rectangle = 780

Circle = 314

rectangle - circle

780 - 314 = 466

Place the labels in the chart
If you can draw this out for me or describe were they are that will be very helpful:)

Answers

Answer:

Check the image

true or false?
help me please

Answers

Answer:

False

Step-by-step explanation:

The point that is equidistant from the vertices of a triangle is called the circumcenter.

9514 1404 393

Answer:

  False

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.

_____

Additional comment

The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.

The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.

Which polynomial function is best represented by the graph?

ƒ(x) = –x(x – 1)4
ƒ(x) = x2(x + 1)3
ƒ(x) = x2(x – 1)3
ƒ(x) = x(x – 1)4

Answers

Answer: ƒ(x) = x2(x – 1)3

Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?
HELP PLS

Answers

Answer:

(x-4)^2=-8(y-3)

This is a parabola.

Step-by-step explanation:

Since the directrix is horizontal, the parabola faces up or down. Since the focus is below the directix it faces down. This means p will be negative in the equation (x-h)^2=4p(y-k).

p also tells us the half the distance between the focus and the directrix. The distance between 1 and 5 is 4, so p=-2.

The vertex is half way point between focus (4,1) and directrix y=5.

So the vertex is (4, [1+5]/2 )= (4 ,6/2)=(4,3). This is (h,k) in our equation.

(x-h)^2=4p(y-k)

(x-4)^2=4×-2(y-3)

(x-4)^2=-8(y-3)

6. If gallon A has 8L of water and gallon B has 800 ml of water, calculate the total volume of water in both the gallons.​

Answers

Answer:

send me again I can't understand question

HEYYYYYYYYYYYYYYY

PLEASE HELP AND BE CORRECT ANSWER AT THE BOTTOM

TELL ME WHERE TO PUT THE POINTS

Answers

Answer:

y = -3 (you have to draw an horizontal line that passes for the point (0,-3)

Step-by-step explanation:

We have to find the middle points of the segments that unite the corrispettive points.

We are lucky because the images of the points have the same x coordinate of the original ones, so we have just to find the y coordinates.

Segment CC‘

(y1 + y2)/2 = (-1-5)/2 = -3

Segment AA’

(0-6)/2 = -3

Segmet BB’

(1-7)/2 = -3

Segment DD’

(1-7)/2 = -3

In conclusion we can say that the points of the reflection have all the y coordinate equal to -3.

the line is horizontal and its equation is : y = -3

i need some help with this question. it says find x

Answers

Answer:

x = 9.8

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the value of y. This can be obtained as follow:

Angle θ = 45

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 45 = 6/y

0.7071 = 6/y

Cross multiply

y × 0.7071 = 6

Divide both side by 0.7071

y = 6 / 0.7071

y = 8.5

Finally, we shall determine the value of x. This can be obtained as follow:

Angle θ = 60

Opposite = 8.5

Hypothenus = x

Sine θ = Opposite /Hypothenus

Sine 60 = 8.5 / x

Cross multiply

x Sine 60 = 8.5

Divide both side by sine 60

x = 8.5 / sine 60

x = 8.5 / 0.8660

x = 9.8

Find the missing side length in the image below

Answers

Answer:

87.5

Step-by-step explanation:

Let the missing side be x.

28 / 35 = x / 50

4 / 7 = x / 50

4 ( x ) = 7 ( 50 )

4x = 350

x = 350 / 4

x = 87.5

which fraction has a greater value than 0.4

Answers

Answer:

0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good

5/9 || 0.55

Step-by-step explanation:

ZDAC = ZBAD.
What is the length of BD?
Round to one decimal place.

Answers

Answer:

BD = 4.1

Step-by-step explanation:

DA is an angle bisector which also divides the opposite side of the angle it bisects in a way that it is proportional to tye other two sides.

By implication, we would have the following:

AB/BD = AC/DC

AB = 5.3

AC = 5.5

DC = 4.3

BD = ?

Plug in the values

5.3/BD = 5.5/4.3

Cross multiply

BD*5.5 = 4.3*5.3

BD*5.5 = 22.79

Divide both sides by 5.5

BD = 22.79/5.5

BD = 4.1 (to 1 decimal place)

Homework:Assignment 3 Question 20 Score: 0 of 1 point A vending machine dispenses coffee into ​-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of ounce. You can allow the cup to overfill ​% of the time. What amount should you set as the mean amount of coffee to be​ dispensed?

Answers

Answer:

19.92

Step-by-step explanation:

To overfill 5% of the time ;

The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645

Using this Zscore value with the Zscore formula :

Zscore = (x - μ) / σ

σ = 0.05 ; x = 20 ounce

Substituting into the Zscore formula :

1.645 = (20 - μ) / 0.05

1.645*0.05 = 20 - μ

0.08225 = 20 - μ

μ = 20 - 0.08225

μ = 19.91775

μ = 19.92

Find y on this triangle

Answers

Answer:

5√3 / 2

Step-by-step explanation:

tan 30 = ( 5 / 2 ) / y

1 / √3 = 5 / 2y

2y = 5√3

y = 5√3 / 2

The measure of AD is v10. Find the AREA of the parallelogram below.
Leave answers in exact form (no decimals). Simplify all radicals and
rationalize the denominator. (You may write roots in the following ways:
2root5 or 2r5)

WILL GIVE BRAINLIEST

Answers

Please look at the Picture for the answer with the steps on how to get it. Thank you. Would really appreciate it if given branliest

Choose the expression that represents “divide 0.04 by n.”

Answers

Answer:

.04/n=4/100n or 4÷100n

There are 45 applicants for two Software
Maker positions.
I

Answers

I honestly don’t know because I honestly don’t know

A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 5 tables is $63. The total cost to rent 2 chairs and 3 tables is $35. What is the cost to rent each chair and each table?

Answers

Answer:

1.75dollars - the value of each chair,  10.5 dollars - the value of each table

Step-by-step explanation:

The value of chair is x, the value of table is y. Then 6chairs cost 6x, 5 tables cost 5y. 6x+5y= 63

Then the value of 2 chairs is  2x,  for 3 tables  it is equal to 3y. 2x+3y=35

We have the system of equations6x+5y= 63 and 2x+3y=35

Multiply the second one by -3

-3(2x+3y)= -3*35

-6x-9y= -105.

Plus the first equation and the second one multiplied by -3 (the right side to the right side and the left side to the left side with sign= between them)

6x+5y-6x-9y= 63-105

-4y= -42

y=10.5 dollars - the value of a table

6x+5*10.5=63

6x= 63-52.5

6x=10.5

x=1.75dollars - the value of a chair

Does the function ƒ(x) = (1∕2) + 25 represent exponential growth, decay, or neither?A) Exponential growth
B) Impossible to determine with the information given.
C) Neither
D) Exponential decay

Answers

Answer:

D) Exponential decay

Step-by-step explanation:

The correct function is:

[tex]f(x) = 25(1/2)^x[/tex]

Required

What type of rate is it

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

If

[tex]b > 0[/tex], then it represents growth

[tex]b < 0[/tex], then it represents decay

By comparison:

[tex]b = 1/2[/tex]

[tex]1/2 < 0[/tex]

Hence, the rate is exponential decay

Answer:

Step-by-step explanation:

I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? Thank you for your time.

Answers

Answer:

68%

Step-by-step explanation:

6,753/100=67.53 which rounds up to 68%

. A ride at a county fair spins in a circle of radius (in meters). The centripetal force experienced by one of the passengers on the ride is modeled by the equation below, where is the number of seconds the ride takes to complete one revolution and is the mass (in kilograms) of the passenger. Tom, whose mass is kilograms is on a ride that is spinning in a circle at a rate of seconds per revolution. The radius of the circle is meters. Letting , how much centripetal force does Tom experience

Answers

Answer:

150 Newtons

Step-by-step explanation:

Given

[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]

[tex]t = 12[/tex]

[tex]r =6.5[/tex]

[tex]\pi = 3.14[/tex]

[tex]m = 84.4[/tex]

See attachment

Required

Find F

We have:

[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]

Square both sides

[tex]t^2 = \frac{4\pi^2mr}{F}[/tex]

Multiply both sides by F

[tex]Ft^2 = 4\pi^2mr[/tex]

Divide both sides by [tex]t^2[/tex]

[tex]F = \frac{4\pi^2mr}{t^2}[/tex]

Substitute known values

[tex]F = \frac{4*3.14^2*84.4*6.5}{12^2}[/tex]

[tex]F = \frac{21635.90624}{144}[/tex]

[tex]F = 150.249348889[/tex]

[tex]F = 150N[/tex]

The purchase price of a new machine is 3500 000 dinars. its value will decrease by
300 000 dinars each year.write a linear model that expresses the value of the
machine (t) years after its purchased :

A) p = 300 000 -3500000t

B) p = 3500 000 +300000t

C) p = 3500 000-300000t

D) p = 300 000+3500000t

Answers

The answer is C. The original value of the machine is 3,500,000. We know that is decreases in value by 300,000. Our equation should be 3,500,000-300,000(t ). We know it’s subtraction since the value is decreasing.
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