A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine how many students would be in each high school in the year they are projected to have the same number of students.

Answers

Answer 1

The equation that represent the number of students in High School A at time t is AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.

The number of students when both schools would have the same number of students is 820.

When would the school have the same number of students?

The equation that represent the number of students in High School A :

current number of students + (number of years x rate of increase)

AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is:

current number of students + (number of years x rate of increase)

BB = 700 + 30tt.

When the schools would have the same number of students, the two equations would be equal:

700 + 30tt = 500 + 80tt

700 - 500 = 80tt - 30tt

200 = 50tt

tt = 200 / 50

tt = 4

Population = 500 + (80 x 4)

500 + 320 = 820

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Related Questions

Which fraction is equivalent to 0.6?

Three-tenths
One-third
Three-fifths
Two-thirds

Answers

3/5 is equivalent to 0.6

Answer:

C. three- fifths

Step-by-step explanation:

Because if you multply 3/5 by 2 you get 6/10 Which is .6

I hope this helps!!!!

A bag contains 40 cups of dog food. You feed 2 2/3 cups to your dog each day. In how many days will you need to buy more dog food?

Answers

Answer:

15 days

Step-by-step explanation:

You'd divide 40 by 2 2/3, getting you 15.Therefore there will be enough food for the dog to eat for 15 days.

ill offer 50 points plus 30 points for all of this

Answers

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

fill in the blank to show an example of the symmetric property:
If JK = ST, then _ = __ ​

Answers

The answer would be ST=JK

the cost of parking of an hourly lot can be represented by the following equation y=3x+2. what does the 3 tell you about the cost of parking

Answers

3 is How many hours they spent in the parking lot.

Answer:

The hourly cost for parking

Step-by-step explanation:

The equation is given in the slope intercept form; which means the "3" in front of the x means the cost for parking is 3 and x will be the amount of hours; just like the slope m in the equation y = mx + b

The number of students that enrolled in a new school club as a function of time can be represented by the function as shown in the graph.

What is the average rate of change in the number of students that enrolled between hours 1 and 2?​

Answers

Answer:

I think it is 1 student per 15 min

Step-by-step explanation:

Ana tiene ahorrados 30 €. Un fin de semana sale al cine con unos amigos y se gasta 7 €, le compra un regalo que le cuesta 12 € a una amiga y paga el billete de tren, que le supone 3 €. Si al llegar a casa su padre le da sus 15 € semanales, ¿cuánto le queda finalmente? (Plantear la solución como una única operación con enteros).

Answers

Answer:

A Ana le queda 23 €.

Step-by-step explanation:

La mejor estrategia para la resolución de este problema consiste en leer paso a paso y traducirlo en una serie de sumas y restas. Comenzamos:

1) Ana tiene ahorrados € 30:

[tex]x = 30\,EUR[/tex]

2) Un fin de semana sale al cine con unos amigos y se gasta € 7:

[tex]x = 30\,EUR-7\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

3) Le compra un regalo que le cuesta € 12 a una amiga y paga el billete de tren, que le supone € 3:

[tex]x = 23\,EUR-12\,EUR-3\,EUR[/tex]

[tex]x = 8\,EUR[/tex]

4) Si al llegar a casa su padre le da sus € 15 semanales:

[tex]x = 8\,EUR + 15\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

Si lo definimos como única operación con enteros, tenemos que:

[tex]x = 30\,EUR-7\,EUR-12\,EUR-3\,EUR+15\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

A Ana le queda 23 €.

I NEED HELP ASAP!!!!!!!

Answers

Step-by-step explanation:

We know that m<1 = m<2 ( being alternate angels) So,

4+ 12x = 11x +12

12x - 11x = 12 - 4

x = 8

Therefore x = 8

Now

m<1 = 4 + 12 * 8

= 4 + 96

= 100

Hope this helps. :)

i need help its for 7th grade math​

Answers

Answer:

4:20

Step-by-step explanation:

because there are 20 teachers in all and 4 science teachers so your chances of getting a science teacher are 4 out of 20

IN THE FIGURE 5.24 TO THE RIGHT ABCD IS A RHOMBUS.SHOW THAT AC IS THE BISECTOR OF <BAD.​

Answers

In any rhombus, the four sides are the same length.

Because of this, we know that

AD = ABCD = BC

Furthermore, AC = AC due to the reflective property

Those three facts then allow us to prove triangle ACD is congruent to triangle ACB through the SSS congruence property. Then from CPCTC, we then know that  angle DAC = angle BAC,  which is enough to show that AC bisects the angle shown. The term "bisect" means "cut in half".

A number line going from negative 1 to positive 1 in increments of 1. There are 5 equal spaces between each number. Select all the statements that are true. –1 is less than Negative StartFraction 4 Over 5 EndFraction. –0.3 is less than One-fifth. 0.6 is greater than 1. 0 is greater than –0.5. Negative three-fifths is equal to –0.6.

Answers

Answer:

–1 is less than Negative StartFraction 4 Over 5 EndFraction

Step-by-step explanation:

Number line from - 1 to + 1 in Increment of 1 ; with 5 equal spaces between each number ;

–0.3 is less than One-fifth

0 is greater than –0.5

Negative three-fifths is equal to –0.6

Number line :

-1 to 0 to 1

-1, - 0.8, - 0.6, - 0.4, - 0.2, 0, 0.2, 0.4, 0.6, 0.8, 1

–1 is less than Negative StartFraction 4 Over 5 EndFraction : - 1 < - 0.8 (true)

–0.3 is less than One-fifth : - 0.3 < 0.2 (true)

0.6 is greater than 1 ( false)

0 is greater than –0.5 (true)

Negative three-fifths is equal to –0.6; - 0.6 = - 0.6 ( true)

Answer:

The answer is A B D E

Step-by-step explanation:

The average daily maximum temperature in Cyprus is 21.85 degrees Celsius in the average daily minimum temperature is -4.7 degrees Celsius is the average daily maximum temperature is blank Celsius higher than the average daily minimum temperature

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 + 4.7

Average maximum daily temperature = 21.85°C

Average minimum temperature = - 4.7°C

The average daily maximum temperature is x°C higher than the average daily minimum temperature ;

x = (maximum temperature - minimum temperature)

x = (21.85 - (-4.7))°C

x = (21.85 + 4.7)°C

x = 26.55°C

Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature

factorize the equation
2b2 - 33b + 16 = 0​

Answers

Answer:

(2b-1) (b-16)

Step-by-step explanation:

(2b^2-32b)(-b+16)

2b(b-16)  -1(b-16)

Consider the sets below.
U=x| x is a real number}
A= x| x is an odd integer)
R=x|x=3, 7, 11, 27}
Is RCA?
O yes, because all the elements of set A are in set R
O yes, because all the elements of set R are in setA
O no, because each element in set A is not represented in set R
O no, because each element in set R is not represented in set A

Answers

Answer: BBBBBB

Step-by-step explanation:

The correct option is,

"Yes because all the elements of set R are in set A"

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given the following sets;

U = {x | x is a real number}

A = {x | x is an odd integer}

R = {x | x = 3, 7, 11, 27}

Hence, The elements of the set A are,

⇒ A = {1, 3, 5, 7, 9, 11...}

R ⊂ A can be interpreted as R is a subset of A

i.e all the elements of R can be found in A.

Since, all the elements of R are all odd integers and can be fi=ound in A, hence R ⊂ A is TRUE.

The correct option is "Yes because all the elements of set R are in set A"

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Which expression is undefined?
A. (3 - 3)
——
7
B. 0➗5

C. (0 - 12)
——
-6
D. 8

(-2+2)

Answers

Answer:

Its D i had to guess but got it right :)

Step-by-step explanation:


The school doubledutch team needs to raise at least $850 to buy new practice equipment. The team received a donation of $125, and also earns $4 per ticket sold. What is the least number of
tickets that need to be sold for the team to have enough money for the new practice equipment?
181 tickets

Answers

Answer:

$850 equipment

$125 from donation

they need $725

Step-by-step explanation:

if they earn $4 per ticket,

725÷4= 181.25

thus they need to sell atleast 182 tickets to have enough money

Answer:

850$ from equipment

and 150$ from it

MOLDY FRIJOLES!!!!!what is x+y=10

Answers

Answer:

lol......

.

..

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

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.

Answers

Answer: There are 57 quarters and 33 dimes.

Step-by-step explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90  (i)

0.25x+0.10y= 17.55  (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5    (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒  y= 90-57

⇒  y= 33

Hence, there are 57 quarters and 33 dimes.

Francis used the distributive property of multiplication to help him solve the equation 6 x 2 = ________. Francis did not get the same answer for each side of the expression. Explain the steps required to correct his mistake. 6 x 2 = (3 x 2) + (4 x 2) 12 = 6 + 8 12 = 14

Answers

Solution :

The distributive property of multiplication :

It is given that we have to find the solution for the below expression using the distributive property of multiplication,

So 6 x 2 = __________

Using distributive property, we can write :

⇒  6 x 2 = 12

⇒ (3 + 3) x (2 ) = 12

⇒  (3 x 2) + (3 x 2) = 12

⇒  6 + 6 = 12

⇒     12 = 12

3(x + 7) = 2(4x + 23)
X=

Answers

x=-5 is what i got for the answer

Can you guys help me pls

Answers

Answer:

The answer is 4/6

Step-by-step explanation:

2:3 and 4:6 share the same exact relationship but is expressed using different numbers, for example, 2:3 * 2 = 4:6 and 4:6 / 2 = 2:3

Answer:

4/6

Step-by-step explanation:

2:3 = 2/3

2/3 × 2 or 2/3 + 2/3

is equal to

or equivalent 4/6

hope this helps :)

double checking to see if i'm right!

i believe that it's 108 but i'm not too sure!! can anyone tell me?? :))

Answers

Answer:

Yep! That looks right!

Step-by-step explanation:

12. Write an equation in slope-intercept form that passes through (5,-2) and (-16,4).​

Answers

Slope: (y2-y1)/(x2-x1)
(4+2)/(-16-5) = 6/-21 = -2/7
Y = -2/7x + b
5 = -2/7(-2) + b, b = 31/7
Equation: y = -2/7x + 31/7

Answer:

Slope: (y2-y1)/(x2-x1)

(4+2)/(-16-5) = 6/-21 = -2/7

Y = -2/7x + b

5 = -2/7(-2) + b, b = 31/7

Equation: y = -2/7x + 31/7

Step-by-step explanation:

Can someone explain slope intercept form as simple as possible? Formula: y=mx+b

Answers

Ok y is your y value from any point on the graph m is your slope x is the x value of any point from the graph and b is your y intercept that is where the line cross in the y line that is the vertical line in the graph

Answer:

As simple as possible, it's a form of linear equations.

Step-by-step explanation:

The formula, y = mx + b, can be dissected to get the slope and y-intercept of a linear equation where:

  m = slope

  b = y-intercept

  (x and y can be substituted for any point)

If you have any more questions, feel free to ask. Hope this helps!

Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.

Answers

Answer:

The farmers believed in the principal of federalism

Step-by-step explanation:

edge 2020

The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.

The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.

The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.

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b. Sonya says that her profit is increasing 4 times as
fast as Kirsten's profit. Do you agree? Explain.
Lesson 8 Compare Functions

Answers

Answer:

No, I beleive that her profits are only 3 times as much as Kirsten's profits.

Step-by-step explanation:

Help with this assignment?

Answers

It’s 1-0.15 I did this before

Can u guys PLEASE ANSWER this question 2 ASAP

Answers

Answer:

23.1

Step-by-step explanation:

The radius of the cone is

32÷2

16

So the equation is

s²=r²+h²

h²=s²-r²

h=√s²-r²

h=√28.1²-16²

h=√789.61-256

h=√533.61

h=23.1

Brainiliest if right 3. Solve the following equation.

-y/7 = 35

A. -245

B. 5

C. 245

D. -5

Answers

Answer:

The answer is -245

Step-by-step explanation:

You solve for y by simplifying both sides of the equation, then isolating the variable, of which is -245.

Answer:

B.

Step-by-step explanation:

I am not sure if this is right

Where is the blue dot on the number line?

Answers

it should be -2.1
if not then sorry

Answer: The blue dot is -2.1

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