A small town has two local high schools. High School A currently has 850 students
and is projected to grow by 35 students each year. High School B currently has 700
students and is projected to grow by 60 students each year. Let A represent the
number of students in High School A int years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.

Answers

Answer 1

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

So after 6 years the number of students in both high schools would be the same.


Related Questions

help i need help with this problem

Answers

Answer:

Natalie's total spread = 18

Step-by-step explanation:

The 'spread' of a crossword puzzle tournament player is computed as his/her total score minus the opponent's total score.

Natalie's scores are:

N=410+380+395+370+320+360=2,235

Opponent's scores are:

O=395+360+412+355+340+355=2,217

Natalie's total spread = 2,235 - 2,217 = +18

Natalie's total spread = 18

REALLY EASY!!
Answer: $ ____ per week

Answers

Answer: $15 per week

5x - 3y = -28
4x + 6y = -14

Answers

Answer:

5x-3y is supposed to equal -15

Y= -2x/3

What makes a inking and octoling and hooman different?

splatoon 3 in 2022 boiz and gurlz!

Answers

Answer:

I KNOW AND I AM PUMPED

Step-by-step explanation:

Answer: yessssiir

Step-by-step explanation:

please help i need this rn. no spammers please.

Answers

Answer:

x = -6 & y= 42

Step-by-step explanation:

I hope this helps :)

x = 6, y = -42

Substitution:

-7x = -5x - 12

-2x = -12

x = 6

When x = 6,

y = -7(6) = -42

Gianah lives in Milton. She bought a bus ticket to travel to her cousin's house in Orlando. She gets on the bus in Mobile. The distance between the two cities is 300 kilometers and the bus drives 70 kilometers per hour. If the bus is 30 kilometers away from Orlando.

Answers

Answer: A. 300 - 70h = 30

Step-by-step explanation:

Rest of the question is:

Which of these following equations represents the hours, h, the bus has travelled.

The driver is going at 70 kilometers per hour meaning that for every hour that passes, 70km has been traveled. Expression to find the distance travelled given hours is:

= 70h

There are 300km between the two cities and 30km are left in the journey. Expression is therefore:

300 - 70h = 30

This shows that when you find the distance travelled so far and deduct it from 300, you will get 30km.

The equation that can represent the distance for which the bus has travelled is 300-70h=30.

What is Speed?

The speed can be defined as the rate of change of position of an object with respect to time. It is given by the formula,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

The distance travelled by bus is 270 kilometers (300-30), because the distance left between the bus and Orlando is 30 kilometers. while the speed of the bus is 70 kmph.

Let the time for which the bus travelled be h, therefore, the equation that can represent the hours for which the bus has travelled is,

Total distance - distance covered in h hours = distance left between bus and Orlando

[tex]300-70h=30[/tex]

Thus, the equation that can represent the distance for which the bus has travelled is 300-70h=30.

Learn more about Speed:

https://brainly.com/question/15100898

a positive number multiplied or divided by a negative number is always
negative or positive

Answers

It is always negative. For example, -1 times 2 is -2

Answer:

Negative

Step-by-step explanation:

Think about it this way, you cannot do something positive and then do something negative and it still be positive. You cannot do something negative and then do something positive for it to be positive. But you can do something positive and do something else positive for it to remain positive the same with negative. Therefore the answer is "negative."

Rules:

Positive ÷ Negative = Negative

Positive × Positive = Positive

Negative ÷ Negative = Positive

Hope this helps.

What is m A.35
B. 60
C. 85
D. 95

Answers

Answer:

85 degrees

Step-by-step explanation:

If you find the missing angle for the triangle it would be 95 because 60+25 is 85 then 180-85 is 85. For a straight line you have to have 180 degrees, so you know the first angle is 95 degrees so the second one would have to be 85 degrees :)


Which expressions have a value of 64? Check all that apply.

Answers

Answer:    /..Step-by-step explanation:       ..nn

.

27 to 32
What is the frequency between 27 to 32

Answers

Answer:

it has a frequency of 5

Step-by-step explanation:

A fireman learned a 36 foot ladder against a building.If he placed the ladder 7 feet from the base of the building,what angle is formed between the ladder and the ground?​

Answers

Answer:
The angle between the ladder and ground is 78.78°

Explanation:
It is given that the length of the ladder is 36 foot and the distance between the base and the ladder is 7 feet.

Here we can see that the hypotenuse is 36 foot and the base is 7 feet. To find the angle between the ladder and the ground we take the cos inverse of 7/36.

Let the angle between the ladder and the ground is ‘x’.

Please check the attached image, also report the answer above me for spamming and trying to receive free points as this has been an issue lately.

What is the difference in the areas of the polygons shown?

Answers

Answer:

the difference is the + and the -

sorry if it's wrong

What is the value of x?
3 (-1 - 8x) = -3

Answers

Answer:

x = 0

Step-by-step explanation:

3 x -1 = -3 and 3 x -8x = -24x

-3 + 3( the opposite of the -3 given in the parentheses) = 0

-24x = 0

0/-24 (from -24x)= 0

x = 0

x=0 your welcome buddy

Every month, $55 is withdrawn from Tom's savings account to pay for his gym membership. He has enough savings to withdraw no more than $495. For how many months can Tom pay for his gym membership?​

Answers

Answer:

9

Step-by-step explanation:

You take the amount of money that the gym membership cost, $55, and you divide that into, the amount of money he has, $495, and then that will leave you with 9 months.

Hope this helps :)))

Eric needs to cut a board into 6 equal pieces. The board is 4 feet long.
How long will each piece be?

Answers

Answer: 24 feet long or 10 feet long.

Step-by-step explanation: I Hope this helps Have a Blessed day.

if 3x =9 what is x ?

Answers

Answer:

3

Step-by-step explanation:

All you have to do is divide 9 by 3 and you get 3!

I hope this helps, and have a great day! :)

the answer is 3 hope this helped

Is anyone good at this:{

Answers

Answer:

no not really

Step-by-step explanation:

i lowkey suck at graphs and charts, sorry :(

work out, giving your answer as a mixed number:
4 2/3 + 1 3/4 =

Answers

4x3+2 = 14/3 —> 56/12
1x4+3 = 7/4 —> 21/12
56-21 is equal to 35/12
Which is 2 and 11/12

Answer:

6 5/12.

Step-by-step explanation:

4 2/3 + 1 3/4

= 4 + 1 + 2/3 + 3/4

= 5 + 8/12 + 9/12

= 5 + 17/12

= 5 + 1 5/12

= 6 5/12.

Does the following data
represent a function?
X-1
8
9
Y 0 3 9

Answers

no, y would need to have constants. while it could be squared 0^2 is 0. not 3.

Consider the graph of f(x) below. The graph contains the points (0, 1) and (5, 4).



Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, power, or logarithmic.

Answers

y= (3/5)x-1    exponetial

i am not a 100% on this

A triangle has one side of length 4 and another of length 9. Which of the following are possible lengths of the third side?

Please help me


Answers

5 I believe because 4up and 9 as your base so you would need to do 9-4=5

helpppppppppp !!!!!!!​

Answers

Answer:

3 places to the right

Step-by-step explanation:

Answer:

es la tres amigo mío por qué si lees la pregunta lo sabras

tell me what -28 + (-80) equals please i need help

Answers

It’s -108. Hope this helps you out. Let me know if you need something else

8x - 14y = 3
Slope intercept form

Answers

Step-by-step explanation:

y= -8/14x + 3/14 is the answer

Answer:

y=1.75x-3/14

Step-by-step explanation:

-14y=-8x+3

y=14/8x-3/14

y=1.75x-3/14

I sold something on ebay and I go to the UPS store to
ship the package. The cost for the box is $3, and it cost
$4.50 per pound to ship.
1) Write an equation to model this situation.
2) Is the domain discrete or continuous? Explain
First you will input the equation, then submit it, then you
will be asked to explain.
imple

Answers

Answer:

1) 3+4.50x = total cost

2) continuous, because x will be the continuous change depending on the pounds

Step-by-step explanation:

The equation to model the situation is C(w) = 3 + 4.50w, and the domain is continuous because weight (w) can take any real number value for the package.

1. The equation to model this situation can be written as follows:

Total Cost (C) = $3 (Cost of the box) + $4.50 per pound (Weight of the package in pounds)

Let's denote the weight of the package in pounds as "w." The equation is:

C(w) = 3 + 4.50w

2. The domain in this situation is continuous. The weight of the package (w) can take any real number value, and the cost function C(w) is valid for all real values of weight. There are no restrictions or gaps in the possible values of weight, meaning it is continuous.

In summary, the equation to model the situation is C(w) = 3 + 4.50w, and the domain is continuous because weight (w) can take any real number value for the package.

To know more about equation

https://brainly.com/question/29174899

#SPJ2

percent as a decimal or fraction. 54% of 85

Answers

Answer: 45.9

Step-by-step explanation: its right trust

Answer:

45 9/10 0r 45.9

Step-by-step explanation:

0.54 * 85

45.9

45 9/10

Which expression represents 5-3(-4n + 2) + 8n in simplest form?

Answers

Answer:

20n-1

Step-by-step explanation:

you really just multiply and get the like terms yk

Find the solution of this system of equations.
Separate the x- and y-values with a comma.
X + 2y = 8
x - y = 2

Answers

Answer:

Step-by-step explanation:

x + 2y = 8

x - y = 2

x + 2y = 8

-x + y = -2

3y = 6

y = 2

x - 2 = 2

x = 4

(4, 2)

Melanie’s fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?

PLEASE HELP WORTH 15 POINTS

Answers

Half a cup? Correct me if I’m wrong plz

Answer:

hey man its half a cup

Step-by-step explanation:

72% of the students in Math 6 at AZVA are currently mastering there lessons. If 306 students are mastering their math lessons, how many students are in math 6?

Answers

Answer:

425

Step-by-step explanation:

72%of425 is 306

Answer:

306/x = 72/100

72x= 306 x 100

72x = 30600

X = 425

Step-by-step explanation:

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