the rate at which people learn about a secret is directly proportional to the 
​number of people who know the secret. If two people know the secret on day 0, and 20 
​people know it on day 2, how long will it take for the whole school (4000 people) to know?

Answers

Answer 1

Answer:

See explanation.

Step-by-step explanation:

Hello, your question is not very clear.

Based on the limited information, this is how we go about it.

If the rate at which people learn about a secret is directly proportional to the number of people who know the secret and 20 people know it on day 2, then the unit rate is 10.

That is the constant of proportionality is 10.

The direct variation equation is

[tex]y = 10x[/tex]

We want to find how long it will take take for a whole school population of 4000 people to know the secret.

We put y=4000 and solve for x.

[tex]4000 = 10x[/tex]

[tex]x = 400[/tex]

Hence it will take 400 days.


Related Questions

what is the area of the base of a square pyramid whose side is length 17 m​

Answers

Answer:

289

Step-by-step explanation:

Base of the square pyramid is square

Formula: Length × Width

17 × 17 = 289

Find the leg of each isosceles right triangle when the hypotenuse is given the measure 12 cm

Answers

Answer:16.97cm

Step-by-step explanation:

To find the hypotenuse side of an isosceles of side 12cm each

Using pythagoras theorem

hyp^2=opp^2+adj^2

hyp^2=12^2+12^2

Hyp^2=144+144

hyp=√288

Hyp=16.97cm

What is the length of AB?
А. 8
В. 2
С. 6
D. 4

Answers

Answer:

C

Step-by-step explanation:

63° =63°

CB = AB

3x = 4x - 2

Answer:

Answer C is correct

=6

Step-by-step explanation:

[tex]3x = 4x - 2 \\ 2 = 4x - 3x \\ 2 = x \\ \\ ab \: \: \: length = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6[/tex]

Which expressions are equivalent to 4(9b+6)?

Answers

36b+24 is the more simplified version of this expression.

Answer:

4(9b+6) is equivalent to 4 x (9 x b + 6)

Daniel can eat 15 bowls of Cinnamon Toast Crunch in 60 minutes what is the speed of his cereal eating?

Answers

4 minutes per bowl is the answer because you divide 60/15

Answer:

0.25 (1/4) bowls a minute.

Step-by-step explanation:

If you divide 15 by 60, you get 0.25 (1/4) and then you just add your labels which is bowls a minute.

Plz help me out ASAP

Answers

Answer:

68

Step-by-step explanation:

cos22=sinx

sin^-1(cos22)=x

x= 68

Which equation represents the line
3x - 2y = -8 in slope-intercept
form?

Answers

Answer:

The slope -intercept form of the equation is;

y = [tex]\frac{3}{2}[/tex]  x  +   4

Step-by-step explanation:

The slope-intercept form of an equation is;

y = mx + c

where m is the slope and c represent the intercept

To represent the equation given; 3x - 2y = -8 in its slope intercept form, we will follow the steps below:

3x - 2y = -8

subtract 3x from both-side of the equation

3x - 3x -2y  = -3x - 8

-2y = -3x -8

Divide throught the equation by -2

-2y/-2 =-3x/-2  -8/-2

y = [tex]\frac{3}{2}[/tex]  x  +   4

The slope -intercept form of the equation is;

y = [tex]\frac{3}{2}[/tex]  x  +   4

What is the period of the function shown in the graph?

Answers

Answer:

  4 units

Step-by-step explanation:

A function is periodic with period P when it can be shifted P units left or right and its graph will map to itself. Here, rising "edges" of the function cross grid lines that are 4 units apart, so the period is 4 units.

help please now 20 points

Answers

Answer:

2/5

Step-by-step explanation:

The theoretical probability of getting blue is TOTAL BLUE SPUN/ TOTAL SPINS

There were 12 blue spins out of 30 total spins, making the probability equal to 12/30 = 2/5

What is the area of the triangle? 11 14 4

Answers

Answer:

616

Step-by-step explanation:

Solve this equation.
3.5(2.25 + x) = 14

Answers

Answer:

1.75

Step-by-step explanation:

Use the distributive property first.

(3.5 x 2.25) (3.5 x X) = 14

7.875 + 3.5x = 14   Now subtract 7.875 from both sides

3.5x = 6.125  Now divide 3.5 by both sides

x = 1.75

Final answer:

The equation 3.5(2.25 + x) = 14 is solved by first distributing 3.5 through the parentheses, then isolating x on one side, yielding a result of x = 1.75.

Explanation:

In this mathematical equation, the first step is to distribute 3.5 to (2.25 + x). The result is 7.875 + 3.5x = 14. We then subtract 7.875 from both sides to isolate the term with x which gives 3.5x = 6.125. Finally, to solve for x, we divide both sides by 3.5. This gives us x = 1.75.

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75 books represent 10% of total books at library 4.

Answers

Answer:

750 books

Step-by-step explanation:

10% .............75 books

100% .............x books

x = 100×75/10 = 7500/10 = 750 books

Ethan will subtract a 3-digit number

from 920. He says the difference could be a 1-digit

number, a 2-digit number, or a 3-digit numbens

Write three subtraction equations that show each

difference. Be sure you start with 920 and subtract a

3-digit number each time

Answers

Final answer:

Subtracting smaller 3-digit numbers from 920 results in 3-digit answers, subtracting larger 3-digit numbers gives 2-digit answers, and subtracting even larger 3-digit numbers results in 1-digit answers. Examples include: 920 - 120 = 800, 920 - 825 = 95, and 920 - 915 = 5.

Explanation:

This question involves simple subtraction operations. Here are three subtraction equations that meet the conditions:

For a 3-digit result: 920 - 120 = 800. Here, subtracting a 3-digit number (120) from our original number (920) results in a 3-digit number (800). For a 2-digit result: 920 - 825 = 95. In this case, subtracting a bigger 3-digit number (825) leaves us with a 2-digit number (95). For a 1-digit result: 920 - 915 = 5. Subtraction of an even larger 3-digit number (915) results in a 1-digit number (5).

As we increase the 3-digit number that we subtract from 920, the result decreases in the number of digits,

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Final answer:

To subtract 3 digit numbers from 920 and end up with a 1-digit, 2-digit or 3-digit number, the following equations are provided: 920 - 911 = 9, 920 - 815 = 105 and 920 - 100 = 820.

Explanation:

To find three subtraction equations that show the difference when subtracting a 3-digit number from 920, we need to consider all possible scenarios for the difference.

The smallest possible difference would be a 1-digit number.

To get a 1-digit number, 2-digit number, or a 3-digit number as the result while subtracting a 3-digit number from 920, here are three equations:

• The smallest possible difference would be a 1-digit number. 920 - 911 = 9

• The next possible difference would be a 2-digit number. 920 - 815 = 105

• The largest possible difference would be a 3-digit number. 920 - 100 = 820

In each equation, we started with 920 and subtracted a 3-digit number. Given that the numbers we subtract are less than 920, it becomes possible to get a 1-digit, 2-digit, or 3-digit result.

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The volume of the figure is 168 cubic meters.
What is the height of the figure, in meters?
3.5
7
10.5
14

Answers

Answer:

3.5

Step-by-step explanation:

This is because 12 times 4 is 48 and if you divide 168 by 48 you get 3.5 . 3.5 times 12 times 4 is 168.

Valeria opened her first bank account at Wells Fargo. she has 80 but she plans to withdraw $5 a week
what is the x?
Equation?
y?
Slope(m)?

Answers

Answer:

x/5=80

Step-by-step explanation:

x=how many months it takes to get all the money out                                              hope it is right or you can google it if not

What is the missing constant term in the perfect square that starts with x squared minus 8x ?

Answers

Answer:

16

Step-by-step explanation:

[tex] {x}^{2} - 8x + 16 = (x - 4) ^{2} \\ [/tex]

(02.04 LC)
What is the equation of a line that contains the points (5,0) and (5,-2)?
x = 5
Ox=0
Oy=0
Oy=5

Answers

Answer:

oy=5

Step-by-step explanation:

t golf DJ o frick vet gn hf hi

Question 1
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is
the slope-intercept form (y = mx + b) of the equation of AB? Show your work.

Answers

Answer: I couldn't find the answer but I did find the formula? Sorry if this doesn't help much :(

Update:

Center at (-3,0)

Radius = 1

Step-by-step explanation:

(x-x1)^2 + (y-y1)^2 = r^2

(x-x2)^2 + (y-y2)^2 = r^2

Answer:

If point A = (4,4) and B = (8,7)

The slope of M would be 3/4.

Step-by-step explanation:

m = y^2 - y^1/x^2 - x^1 = 7 - 4/ 8 - 4 = 3/4. m = 3/4.

y = mx + b

y = 3/4 x + b

4 = (3/4)(4) + b

b = 4 - 3 = 1

The equation of line AB is y = 3/4 x + 1.

I hope this helps and that it is easy to understand and read! :)

18 times 9 then multiply 1/2??

Answers

Answer:

81

Step-by-step explanation:

18*9=162

162*[tex]\frac{1}{2}[/tex]=81

Answer:

81

Step-by-step explanation:

18 * 9 = 162

162 * 1/2 is 81

Also multiplying by 1/2 is the same as dividing by 2

Hope this helped!

Angle 1 is 100 degrees. What is the measure of angle 3?

Answers

Answer:

Angle 3 is also 100

Step-by-step explanation:

They are vertical angles and vertical angles are always congruent.

The angle 3 is in the given figure is ∠3 = 100°.

What are parallel lines?

The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.

The measure of angle 1 is given as ∠1 = 100°.

When two lines intersect each other, the pair of vertically opposite angles are equal.

Since, angle 1 and angle 3 are vertically opposite, they are equal.

Thus, ∠3 = 100°.

Hence, the measure of angle 3 is 100°.

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What is the measure of angle c In degrees?

Answers

c = 64
73 + 43 = 116
180 - 116 = 64

Answer:

64⁰

Step-by-step explanation:

By angle sum property :

A + B + C = 180⁰

C = 180 - 73 - 43

C = 180 - 116

C = 64⁰

Explore the properties of inscribed angles
by following these steps.
1. Move point C and observe how the
angle measures change.
When AC changes,
m ZABC and m ZADC____
and are _____
to each other.

Answers

Answer:they change and are always equal to each other

part 2. they do not change

part 3. 1/2

i just did it on edge 2020

When AC changes, angles ABC and ADC are also changes and are equal to each other.

Inscribed angle :

An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of a circle.

This is different than the central angle, whose vertex is at the center of a circle.

From given figure, It is observed When AC changes, angles ABC and ADC are also change but equal to each other.

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luna had $50 when she got to the carnival. After riding 12 rides she had $26 left. What was the price of each ride? Which equation can be used to represent this situation?
26 - 12p = 50
50 + 12p = 26
12p - 50 =26
50 - 12p = 26

Answers

50-12p=26 I believe.
50 - 12p because it says left so you have too subtract

What is the slope of the line that passes through the points (–9, 2) and (0, 4)?

Answers

Answer:

2/9

Step-by-step explanation:

Slope = y2- y1/x2 - x1

Given

x1 = -9

y1 = 2

x2 = 0

y2 = 4

Therefore

Slope = 4 - 2 /0 -(-9)

= 4 - 2/0 + 9

= 2/9

Answer:

2/9 is correct, or just .22

Step-by-step explanation:

Use the formula  [tex]\frac{x^2 - x^1}{y^2 - y^1} = \frac{rise}{run} = \frac{-9 - 0}{2 -4}[/tex]

However, the variables, are not squared, that is meant to be subscript :D

Write an equation for the line that has a slope of 1/2 and passes through the point (-2,5)

Answers

Answer:

y=0.5x+6

Step-by-step explanation:

6 is the y-intercept because you go up 1 over 2.

Answer: The equation of line is [tex]2y - x - 12 = 0[/tex]

Step-by-step explanation:

The formula for finding the equation of a line when slope and a point is gives is :

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=-2[/tex]

[tex]y_{1}=5[/tex]

[tex]m = 1/2[/tex]

substituting into the formula , we have :

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

multiply through by 2 , we have

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

[tex]2y - 10 = x + 2[/tex]

[tex]2y - x - 10 - 2 = 0[/tex]

[tex]2y - x - 12 = 0[/tex]

Therefore : the equation of line is [tex]2y - x - 12 = 0[/tex]

Find one value of x that is a solution to the equation (x^2+3)^2=4x^2+12

Answers

Answer:

[tex] {( {x}^{2} + 3) }^{2} = {4x}^{2} + 12[/tex]

[tex] \bf \purple{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} } [/tex]

[tex] {( {x}^{2}) }^{2} + 2({x)}^{2} (3) + {(3)}^{2} = {4x}^{2} + 12[/tex]

[tex] {x}^{4} + {6x}^{2} + 9 = {4x}^{2} + 12[/tex]

[tex] {x}^{4} = {4x}^{2} - {6x}^{2} + 12 - 9 [/tex]

[tex] {x}^{4} = { - 2x}^{2} + 3[/tex]

[tex]( {x}^{2} \times {x}^{2}) = { - 2x}^{2} + 3[/tex]

[tex]2 \times {x}^{2} = { - 2x}^{2} + 3[/tex]

[tex] = \frac{ { - 2x}^{2} + 3 }{ {2x}^{2} } [/tex]

[tex] = 3[/tex]

Round your answer to the nearest whole. use Pie as 3.14
Find the volume of a cylinder with a radius of 3 cm and a height of 11 cm.

Answers

To find the volume of a cylinder you must use the formula:


πr^2h

1) Plug in your variables
π(3)^2•(11)

2) Solve
~ 311.01 cm^3

Given f(x)=3x2+7 and g(x)=2x2-x-1 find (f+g)(x)

Answers

Answer: (f+g)(x)=5x2-x+6

Step-by-step explanation:

I hope this helps

Sally paid the following bills rent $450.00 cell phone $37.50 and cable $69.99 how much money did she pay ?

Answers

Answer:

557.49

Step-by-step explanation:

Add the three bills together

450.00

 37.50

 69.99

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

557.49

HELPPP PLEASE❗️❗️❗️❗️

Answers

Answer:

33

Step-by-step explanation:

You find the measure of B, which is 180 - (93 + 58) = 29 degrees

You use the law of sines which is 16/sin(29) = (BC)/sin(93)

You multiply both sides by sin(93) and get:

sin(93)*16/sin(29) = BC

You plug this into a calculator and get:

32.9574164555, which is approx. 33

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