In a theater showing a cartoon movie, 13 out of 17 people watching are children. How many children would you predict are watching the movie if there are 204 people in the theater?

Answer:

y-intercept = -4

Step-by-step explanation:

equation of a line: y=mx+b

two points given are (5, -6.5) and (-12, 2)

first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.

formua to find m: [tex]\frac{2-(-6.5)}{-12-5}[/tex]= -0.5

to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.

if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b

then you just solve for b and it turns out to be -4.

The solution is -4

The y intercept of the line passing through the points

P ( 5 , -6.5 ) and Q ( -12 , 2 ) is -4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 5 , -6.5 )

Let the second point be Q = Q ( -12 , 2 )

Now , the slope of the line between 2 point is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 + 6.5 ) / ( -12 - 5 )

Slope m = - 8.5 / -17

Slope m = -1/2

Slope m = -0.5

Now , the equation of line is given as

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -6.5 ) = -0.5 ( x - 5 )

On simplifying the equation , we get

y + 6.5 = -0.5x + 2.5

Subtracting 6.5 on both sides of the equation , we get

y = -0.5x - 4

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Therefore , the y intercept of the line is -4

Hence , the y intercept of the line A is -4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

B) 120

Step-by-step explanation:

hope this helpssssss

Answer:

Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour

B. He did 5 hours

C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.

Step-by-step explanation:

Your welcome

Answer:

I think its

|x| = 5

Step-by-step explanation:

Answer:

|x|<5

Step-by-step explanation:

Answer:

6/25

Step-by-step explanation:

Answer:

initial value for Jing is $12.50.

Step-by-step explanation:

It is given that Jing started at a pay rate of $12.50 per hour and will get $0.50 per year. So, 0.50 is slope and y intercept is 12.50 for this equation.

The y intercept represents the initial value for the Jing.

So, initial value is $12.50.

Answer:

G

Step-by-step explanation:

Answer: h

Step-by-step explanation:

Answer:

Anja is correct.

Step-by-step explanation:

If you rotate the figure to the left, around the correct vertex, you will land on the after image.

Answer:

$1.20

Step-by-step explanation:

Answer:

14.50

Step-by-step explanation:

hope this helps

The total cost of Kevin's purchase including tax would be $15.66

Calculating the cost of each item :

Cost of hamburgers = 5 × $1.40 = $7.00

Cost of Sodas = 6 × $1.25 = $7.50

The total cost of Kevin's purchases excluding tax is the sum of the items :

Tax paid on purchase :

Therefore, The total amount paid including tax is ($14.50 + $1.16 = 15.66

Learn more : https://brainly.com/question/18796573

Answer:here try both of these

x=4

x=3

Step-by-step explanation:

v=l×w×h

v=3×1.2×4.5

v=16.2

i don't know sorry if its wrong please correct me, it looks like c

I think the answer is 30x+330>50x

Step-by-step explanation:

for the option A it was slightly changed,

cause the $30 was deposited by helen not Vince.

so check that well

Answer:

18

Step-by-step explanation:

since 24 is the total value of MK, and ML is already 12 of that, you can subtract 12 to get 12. KJ is 6, so we can add that to the 12 we just got to find the total value of LJ. 12 + 6 = 18.

Answer:

what do you actually wanna say?

Answer:

Nine.

Step-by-step explanation:

Answer:

Um im not sure

Step-by-step explanation:

Its probly A if im doing it write

Answer:

the answer is d.

Step-by-step explanation:

as soon as you go to the theater, you HAVE to pay $5 in theater a, with two dollars for ONE snack bought, and it says two dollars PER one snack bought. therefore if x was 2, so if someone wanted to buy 2 snacks, then you would multiply by 2 to get the total cost, or y, for the snacks. answer d is the only one that has the correct numbers in the correct places for theater a and b.

hope this helps!

Answer:

29 mints OK. O that's v the answer all

Answer:

If two lines are parallel, then their slopes are equal.

Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

Answer:

Blank 1: 1

Blank 2: -19

Blank 3: 4

Blank 4: 96

Step-by-step explanation:

-1+4=3

3/3=1

3(-5)-4=-19

8+4=12

12/3=4

3(100)-4=96

Answer:

20

Step-by-step explanation:

20 is the greatest factor because:

20*5=100

20*1=20

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hope I was Right

Step-by-step explanation:

1)On the table for Yards put 3 and 5. Then put Feet as 6, 12 and 18.

2)On 2 put [tex]\frac{6}{2} \frac{9}{3} \frac{12}{4} \frac{15}{5}[/tex]

Each ratio is equal to 3:1

3)The equation that describes the relationship is x:y

4)The equation that describes the relationship is 3:50

Answer:

4th and 5th

Step-by-step explanation: