Nadia finds out her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 and is currently at 32 in 2014. Find an equation in point slope form that models the population growth and predict the number of horses in 2020.

Answers

Answer 1

Answer:

The equation is p = (8/3) t + 24

In 2020, we will have about 48 horses.

Step-by-step explanation:

In 3 years  the family increased by 32 - 24 = 8.

So the  constant of proportionality = 8/3.

The required equation is p = (8/3)tx + 24

where p = the population and t is the number of years after 2011.

So in 2020 we can predict that in 2020 the number of horses

=  (8/3) * 9 + 24

= 72/3 + 24

= 24 + 24

= 48.


Related Questions

Guys, please help! I'm reaallllyyyy desperate!

Answers

Answer:

So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-a-b²+3ab

-(-1)-5²+3(-1×5)

+1-25-3+25

-24-3+15

-27+15

=-12

find x
please solve this​

Answers

Answer:

120°

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.

Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

[tex] \therefore x = m\angle ADC\\\\

\therefore x = 120\degree [/tex]

What is the successor of 2,550

Answers

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

Which value of b results in infinitely many solutions for the system?

9x+6y=b
3x+2y=1

6
1
5
3

Answers

Answer: 3

Step-by-step explanation:

I just finished the test and this was the answer I put and it was right.

9x+6y=b

6y=b-9x

y=b/6 -9/6x

y=b/6-3x/2

y= -3x/2 +b/6

3x + 2y = 1

2y = 1 - 3x

y = 1/2 -3/2x

y = -3/2x + 1/2

b/6=1/2

b=3

Answer:

Step-by-step explanation:

Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this

Answers

Answer:

The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.

Step-by-step explanation:

The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.

Given that,
To compare the function shown in the graph with y =7x -10.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.

Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.

learn more about function here:

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An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.

Answers

I think it’s 9 percent

I need help please help me

Answers

Answer:

A, B and D

Step-by-step explanation:

The zeros of f(x) are the points located on the x- axis, that is where y = 0

We can check which ones are the solutions by finding the zeros of f(x)

To find the zeros let f(x) = 0 , that is

(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic

(x + 4)(x - 2)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

There are 3 zeros at x = - 4, x = 2, x = 6

These are located at A, B and D

Answer:

A, D, B

Step-by-step explanation:

The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.

A newborn kitten weighs 3 ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?

Answers

Answer:

Their is a different question in the pic then the writing?

It shows a different question on the picture than the question

Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback books and two hardback books. How much change will Travis receive from a $20 bill?

Answers

5x1.50 = 7.5
2x3 = 6

7.5 + 6 = 13.5
Change Travis will recieve
= 20 - 13.5
= $6.5

Using the appropriate arithmetic operations, the amount of change Travis is entitled to is :$6.50

Total cost of paper back books :

($1.50 × 5) = $7.50

Total cost of hardcover books :

($3 × 2) = $6

Total cost = $7.50 + $6.00 = $13.50

Change = $20 - $13.50 = $6.50

Therefore, Travis will get a change of $6.50

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There are several bowls containing various amounts of grapes on a table. When 12 of the bowls each had 8 more grapes added to them, the mean (average) number of grapes per bowl increased by 6. How many bowls of grapes are on the table?

Answers

Answer:

There are 16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

OR

12 x 8 = 96

96/6=16

Answer:

16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value is $5.55, how many quarters and how many dimes are there?

I WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

[tex]0.25x+0.1(27-x)=5.55[/tex]

So, we will determine the value of x, the amount of quarters there are.  

First, let’s multiply everything by 100 to remove the decimals. So:

[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]

Distribute:

[tex]25x+10(27-x)=555[/tex]

Distribute:

[tex]25x+270-10x=555[/tex]

Combine like terms:

[tex]15x+270=555[/tex]

Subtract 270 from both sides:

[tex]15x=285[/tex]

Divide both sides by 15:

[tex]x=19[/tex]

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

9514 1404 393

Answer:

19 quarters8 dimes

Step-by-step explanation:

When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.

Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.

The total value (in cents) is ...

  25q +10(27 -q) = 555

  15q +270 = 555 . . . . . . . collect terms

  15q = 285 . . . . . . . . . subtract 270

  q = 19 . . . . . . . . divide by 15

  27 -19 = 8 . . . . . the number of dimes

There are 19 quarters and 8 dimes.

_____

Check

19 quarters have a value of 19×$0.25 = $4.75

8 dimes have a value of 8×$0.10 = $0.80

Then the total value of the 27 coins is $4.75 +0.80 = $5.55

_____

Additional comment

This is equivalent to working the problem by substitution where you write two equations ...

d + q = 2710d +25q = 555

Then solve for d and substitute, leaving the variable q.

  d = 27 -q

  10(27-q) +25q = 555 . . . . the equation we wrote above

Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.

You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.

Can someone please explain how I am supposed to do this I do not understand at all whatsoever.

Answers

Answer:

B. (6,-3)

Step-by-step explanation:

3x - 5y ≥ 10

(1,4) IS NOT a solution to the equation

3(1) - 5(4) ≥ 10

3 - 20 ≥ 10

- 17 ≥ 10

3x - 5y ≥ 10

(6,-3) IS a solution to the equation

3(6) - 5(-3) ≥ 10

18 + 15 ≥ 10

33 ≥ 10

3x - 5y ≥ 10

(-5,-2) IS NOT a solution

3(-5) - 5(-2) ≥ 10

-15 + 10 ≥ 10

-5 ≥ 10

3x - 5y ≥ 10

(2,0) IS NOT solution

3x - 5y ≥ 10

3(2) - 5(0) ≥ 10

6 - 0 ≥ 10

6 ≥ 10

i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??

Answers

Answer:

i believe its the rise and the run of the slope.

Step-by-step explanation:

i believe its something similar to this photo

Some equations have the form y=kx, where k is a number.

Which equation CANNOT be written in the form y=kx?

y=x

y=x+3

y/2=x

y= ‐1/10x

Answers

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

insert three arithmetic means between 7 and 15​

Answers

Answer:

9, 11 , 13

Step-by-step explanation:

Find the average of 7 and 15, that is

[tex]\frac{7+15}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11

We now have 7, 11, 15

Now find the average of 7 and 11, 11 and 15

[tex]\frac{7+11}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

[tex]\frac{11+15}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13

Thus the 3 arithmetic means between 7 and 15 are

9, 11, 13

Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?

Answers

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

A full strip plus another half of a strip of staples contains 315 staples

Answers

Answer:

[tex]210 staples[/tex]

Step-by-step explanation:

Lets solve this equation:

[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]

Combine terms:

[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]

[tex]x=315*\frac{2}{3}[/tex]

[tex]x=210[/tex]

So a full strip contains 210 staples.

Hope this helps :D please hit the crown

CAN SOMEONE PLEASE HELP ME?

PLEASE. There are four questions that I just need help with :(

Answers

Should’ve added more points fam

What is 1350 as a fraction

Answers

Answer:

it is the same as 1350/1

Step-by-step explanation:

so it is being divided by 1, which means it is the same thing.

Answer:

Step-by-step explanation:

1350/1. any whole number you place over 1.

Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.

Answers

Answer:

Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.

Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:

150 + 10t = 25t

150 = 25t - 10t

150 = 15t

150/15 = t

10 = t

Therefore, in 10 weeks they will both have the same amount:

Roshaun: 150 + 10(10)--->150 + 100 = $250

Keegan; 25(10) = $250

Hope this helps!

Step-by-step explanation:

Please mark me as the brainliest answer and please follow me

to find the amount of savings roshaun and keegan will have, let x represent the no. of weeks.
total savings roshaun has = $150 + $(10x)

total savings keegan has = $(25x)

Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes

Answers

Answer:

Hh

Step-by-step explanation:

slope = 1 y-intercept = 3

Answers

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

1x is the same as x

Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10

Answers

Answer: 3

Step-by-step explanation:

-15- -45= 30

30/10=3

The answer is to this is 3

I NEED HELP WITH THIS OMG

Answers

Answer:

its actually hard

Step-by-step explanation:

it is hard OMG

Answer:

∠ EDF =104°

Step-by-step explanation:

The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is

∠ EDF = [tex]\frac{1}{2}[/tex] (arc EF + arc GU )

           = [tex]\frac{1}{2}[/tex] (147 + 61)°

           = [tex]\frac{1}{2}[/tex] × 208°

           = 104°

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.

a. 6
b. 39
c. 74
d. 202

Answers

4(2)^4 - 2(7^2) + 40
4(16)-2(49)+40
64 - 98 + 40
-34 + 40
= 6

2+2= ???????
What is it

Answers

Answer: The answer would be four.

How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many ​

Answers

Time of the 20 to the x then get 420

Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
SRS of 20 students to test for the flu. Let X = the number of students in the sample who test positive for the
flu.
Is X a binomial variable? Why or why not?

Answers

Answer:

The trials are not independent, so

X is not a binomial variable.

Step-by-step explanation:

The variable X is not a binomial variable. The reason for this is X is not independent.

What is a binomial variable?

A binomial variable is a variable that determines the frequency that an event would happen  in a fixed number of trials.  

The conditions for a binomial variable include:

The observation fall into either a success or failure category with an equal chance of happening.There are a fixed number of observationsThe observations are independent.

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PLEASE PLEASE PLEASE HELP!

Answers

Answer: Interval Notation:

(– ∞,–1) ∪ (–8, ∞) Set-Builder Notation:

{x | x ≠–1}, but I don’t know to the Question #2. (III), sorry. :(

Step-by-step explanation: Set up the composite function and evaluate, then find the domain of the result. (Neither)

Find the constant of proportionality for the table and write in the form y = kx.

A) y = 1/6x
B) y = 6x
C) y = 7x
D) y = 42x

Answers

A is the correct answer.

Answer:

The constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]

Step-by-step explanation:

The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.

We know the equation

[tex]y=kx[/tex]

where k is the constant of proportionality.

Looking at the graph,

at x=7, the value of y=42

so the ratio of y/x = 42/7 = 6

at x=14, the value of y=84

so the ratio of y/x = 84/14 = 6

at x=21, the value of y=126

so the ratio of y/x = 126/21 = 6

at x=28, the value of y=168

so the ratio of y/x = 168/28 = 6

We observe that the ratio of y/x remains constant which y/x=6

so using the equation

[tex]y=kx[/tex]

take any point let say (7, 42)

42 = k(7)

42/7=k

6 = k

Therefore, the constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]

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