Write the ratio 7 : 4 in the form n : 1

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the

tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: $k=\frac{y}{x}$

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0

3 years ago

How do I graph y=-6/5x

kkurt [141]

-6/5 is the slope. you start at point (0,0) and then move down 6 units and to the right 5 units and then create one point. from that point, go down 6 units and to the right 5 units and repeat. when you reach the bottom of the graph stop. go back to (0,0) and then move up 6 units and to the left 5 units. connect the points with a ruler and add arrows to each side. label your line with "y=-6/5x" on the line

3 0

3 years ago

4. The chart above shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred

givi [52]

The Cost of operating the theater if there are 100 people at a show is 20,000Rs.

The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.

In a theater, there will be 3 to 4 shows for a movie or a different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

<h3>What is the meaning of cost?</h3>

The average cost of a college education has gone up dramatically.

Consider a ticket cost of 200rs.

For 100 people in a show,

Cost = 200 × 100

Cost = 20,000.

Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.

To learn more about the cost visit:

brainly.com/question/1153322

3 0

2 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$