When a new charter school opened in 2005, there were 350 students enrolled. Since then, the student population has
decreased by 100 students every two years.
Choose the formula below which gives the function N(t) representing the number of students attending the charter school
t years after 2005.
Select the correct answer below:
ON(t) = 100t + 350
ON(t)=-100t + 350
ON(t) = 50t + 350
ON(t) = -50t + 350
ON(t) = 350t + 100
ON(t) = -350t + 100

The equation that represents the equal distribution of ' d ' dumplings among Eli and Ana is -

x = nd/2.

Unitary method is used to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given is a situation in which Eli and Ana are having dinner. They both have same number of dumplings to eat and each dumpling container contains 'd' dumplings.

Let's assume that there are 'n' containers of dumplings and both Eli and Ana got 'x' number of dumplings. Now -

In 1 container we have - 'd' dumplings

In 'n' containers, we will have -  n × d   dumplings.

Both Ana and Eli got same number of dumplings = x.

Therefore -

x + x = n × d

2x = nd

x = nd/2

Therefore, the equation that represents the situation is -

x = nd/2

To solve more questions on Equation modelling, visit the link below-

https://brainly.com/question/7693149

#SPJ1

Answer:

The answer you will be looking for is 145638!

If you need help how to i will explain!

Answer:

8/45m² + 2/35m

Step-by-step explanation:

...........................

5. m∠ABC = 64°

m∠CBD = 26°

6. Using the linear pair postulate,

m∠ABC = 97°

m∠CBD = 83°

7. Using the linear pair postulate,

m∠ABC = 112.5°

m∠CBD = 67.5°

Two angles on a straight line form a linear pair which have a sum of 180 degrees based on the linear pair postulate.

5. (11x - 2) + (5x - 4) = 90 [complementary angles]

11x - 2 + 5x - 4 = 90

16x - 6 = 90

16x = 90 + 6

16x = 96

x = 6

m∠ABC = 11x - 2 = 11(6) - 2 = 64°

m∠CBD = 5x - 4 = 5(6) - 4 = 26°

6. 8x + 9 + 6x + 17 = 180 [linear pair postulate]

14x + 26 = 180

14x = 180 - 26

14x = 154

x = 11

m∠ABC = 8x + 9 = 8(11) + 9 = 97°

m∠CBD = 6x + 17 = 6(11) + 17 = 83°

7. 14x - 6.5 + 7x + 8 = 180 [linear pair postulate]

21x + 1.5 = 180

21x = 180 - 1.5

21x = 178.5

x = 8.5

m∠ABC = 14x - 6.5 = 14(8.5) - 6.5 = 112.5°

m∠CBD = 7x + 8 = 7(8.5) + 8 = 67.5°

Learn more about the linear pair postulate on:

https://brainly.com/question/13890989

#SPJ1

Answer:

36.25

Step-by-step explanation:

You need to find out how much he makes an hour. To do that you divide how much he made by 13 hours. Which was 7.25. Than multiply 7.25 by 5. And you get your answer which is 36.25.

The same goes for any money scenario when you are trying to find out like how much an individual 'peach' is in the whole bag. Or take it for what you will it was an example.

now, the picture looks a bit misleading, the angle on the bottom-right corner doesn't look at all like a 20° angle, so let me assume the 20° angle is the angle up above, like you see in the picture below, because that looks like a 20° one, and the number there, is not very clear which one is pointing to.

[tex]\cos(64^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{18}}\implies 18\cos(64^o)=h \\\\[-0.35em] ~\dotfill\\\\ \cos(20^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{x}}\implies x=\cfrac{h}{\cos(20^o )}\implies x=\cfrac{18\cos(64^o)}{\cos(20^o )}\implies x\approx 8.4[/tex]

Make sure your calculator is in Degree mode.

Answer:

1/9

Step-by-step explanation:

3^-2 = 1/3^2

which is 1/9

Step-by-step explanation:

Evaluating 3^-2

3^-2

= 1/3²

= 1/ 3 × 3

= 1/9

Or

if you're talking about 3^-2 in decimal then...

3^-2 = 0.111111111 (in decimal)

Hope this helps

The simplest form of the ratio 35:30 is 7/6.

Given, the ratio is 35:30

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio.

We can refer to a fraction as being in its simplest form when it cannot be further spelled out or reduced. Divide the denominator and numerator by their respective least common multiples to reduce a fraction.

divide the numbers by 5

35/30

= 7/6

therefore the simplest fraction is 7/6.

Learn more about Ratio and proportion here:

brainly.com/question/19994681

#SPJ9

There may be a maximum of 16 shirts in each row to ensure that all the rows have the same length. Option D

The same elements at play

There are a total of sixteen polo shirts on exhibit.

80 jerseys from various teams are now on exhibit.

Each row is limited to just one kind of polo shirt.

The following are the factors that make up 80:

1, 2, 4, 5, 8, 10, 16, 20, and 80

The factors of 16 are as follows: 1, 2, 4, 8, 16.

The number 16 is the most frequent factor between the numbers 80 and 16.

Therefore, the greatest number of shirts that may be placed in each row such that the length of all of the rows is the same is 16.

Find out more about the following common factors:

brainly.com/question/219464

#SPJ1

Answer:

5

Step-by-step explanation:

In the question it states that in each year the number of rabbits increase by (2) of which is represented by the word (doubled) and so this will solve this question horizontally

note that (Y) represents year

First Year =10 rabbits

Second Year=20

Third Year =40

Fourth Year =80

Fifth Year =160

Answer:

I believe the answer is not solvable I don’t know I might be wrong

Step-by-step explanation:

a) He will start 900 feet from the edge

b) 16 Round trips are needed to cover the field.

Because Mr. Johns intends to check a wheat field 960 feet wide for weeds so he will distribute a 60-foot wide strip using a high clearance sprayer that has two 30-foot booms.

a) 960 foot - 60 foot = 900 foot

Therefore, he should start 900 feet from the edge.

b) 960 foot / 60 foot = 16 Trips.

Therefore, 16 round trips are needed to cover the field.

To know more about Application calculation, refer to this link :

https://brainly.com/question/19865385?referrer=searchResults

#SPJ4

Answer:

196m²

Step-by-step explanation:

area is w multiplied by h so 14x14

Answer:

196 [tex]m^{2}[/tex]

Step-by-step explanation:

The area of a rectangle is length times width.  A square is a type of rectangle that has four equal sides, so if we know one side we know all four.

A = l x w

A = 14m x 14m

A = 196[tex]m^{2}[/tex]

The above statement describes the equation of a circle whose endpoints of a diameter are (-0,0) and (4,-6):

(x + 2)² + (y + 3)² = 3.6

The simple form equation of a circle is: (x – x1)² + (y – y1)²= r², where (x, y) are arbitrary coordinates upon that circumference of the circle, r seems to be the radius of the circle. and (x1, y1) are indeed the coordinates of the circle's center.

Given points are:

(-0,0) and (4,-6)

Find that diameter's length using the locations of the locations as well as the distance formula.

d = √((x₂ - x₁)² + (y₂ - y₁)²)

  = √((4 - (-0))² + (-6 - 0)²)

 = √((4 )² + (-6 )²)

= √(16 + 36)

= √(52)

= 7.2

Radius will be r/2

7.2/2

= 3.6

To obtain the coordinates of the center, use the interest in obtaining and the midpoint formula.

[tex]C=\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]

C = (-0 + 4)/2 , (-6 + 0)/2

C = -2 , -3

To write this circle equation, use the radius and the center coordinates.

(x - h)² + (y - h)² = r²

(x - (-2))² + (y - (-3))² = 3.6

(x + 2)² + (y + 3)² = 3.6

To learn more about equation of a circle visit:

https://brainly.com/question/23799314

#SPJ4

Answer:

-20

Step-by-step explanation:

The van can carry 13 students and the bus can carry 53 students.

A van can carry = 13

A bus can carry = 53

The equations will be derived from the conditions given in the question:

Let x be the no. of students in van

Let y be the no. of students in bus

     13x + 9y = 646……………(1)

      6x + 3y = 237………………(2)

Multiplying (2) with 3

13x + 9y = 646……………(3)

18x + 9y = 711 …………...(4)

Subtracting equation (3) from (4)

18x + 9y = 711

- (13x + 9y = 646)

We get:

5y = 65

y = 13

Now, plug the value of y into one of the preceding equations:

13x + 9(13) = 646

Solving this we get

x = 53

Hence, The van can carry 13 students and the bus can carry 53 students

learn more about linear equations here:

https://brainly.com/question/2030026

#SPJ9

Answer:

$210.94

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

The original price was $375.

Step-by-step explanation:

The original price of the phone is x.

36% of x is $135.

0.36x = 135

x = 135/0.36

x = 375

Answer: The original price was $375.

To solve the equation, subtract 3 from both sides. The solution is k = 11.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve k + 3 = 14.

The variable is k. Subtract 3 from both sides:

k + 3 - 3 = 14 - 3

k = 11 (solved)

Learn more about solving an equation here:

https://brainly.com/question/25678139

#SPJ4

The Initial amount is 14.76 and the decay factor is 1.4 while the percentage rate of change is 40%.

We are given the function as;

y = 1.4^(t + 8)

Now, the general formula for an exponential decay function is;

f(x) = abˣ

where;

a = initial amount

b = decay factor

x = number of time intervals

Now, using laws of exponents, our initial function can be written as;

y = 1.4⁸ × 1.4^(t)

Now, 1.4⁸ = 14.76

Thus, we now have the expression as;

y = 14.76(1.4^(t))

Comparing with the general equation of exponential decay gives us;

14.76 = initial amount

1.4 = decay factor

t = number of time intervals

If decay factor is 1.4, then this denotes 140% which means that the percentage rate of change is 40%

Read more about Exponential Functions at; https://brainly.com/question/2456547

#SPJ1

The general formula that describes the variation is T² = 18a³/d²

          x ∝ y.

          This can then be written as;

           x = ky

           Where;

           k = constant rate of change.

            x ∝ (y/z)

           This can then be written as;

            x = k (y/z)

           Where;

           k = constant rate or variation

The square of T varies directly with the cube of a and inversely with the square of d.

Note that

square of T = T²

cube of a = a³

square of d = d²

Therefore, we can write;

T² ∝ a³/d²

T² = k (a³/d²)

Since;

T = 4 when a = 2 and d = 3

We can find the constant of proportionality k, by substituting the values of T=4, a = 2 and d = 3 into equation (i) and solve as follows;

(4)² =  k (2³/3²)

16 =  k (8/9)

8k = 16 x 9

8k = 144

k = 144/8

k = 18

Therefore, The overall formula for describing the variation is

T² =  18 a³/d²

Learn more about inverse here

https://brainly.com/question/24095567

#SPJ9

Answer:

D and E

Step-by-step explanation:

In order for the equations to have infinite amount of solutions, they have to be equal to each other.

A: 3x-1 doesn't equal 3x+1

B: 2x-1 is not equal to 1-2x since they negate each other.

C: 3x-2 doesn't equal 2x-3

D: 3(x-1)=3x-1*3=3x-3 ==> D is an answer.

E: 2(x+1)=2x+1*2=2x+2 ==> E is an answer

F: 3(x-2)=3x-6. However, 2(x-3)=2x-6. 3x-6 doesn't equal 2x-6.

Hence, 3(x-2) doesn't equal 2(x-3).