Answer:

Step-by-step explanation:
The points on the straight line are (P, 0) and (0, R).
The slope would be

And
, because the y-intercept is at (0, R).
So, the equation of this line would be

Where we multiply the equation by 

Therefore, the equation that represents this line is

<h2>
So, the right answer is B.</h2>
<u>8th Grade: </u>90 x 0.80 = 72
<u>7th Grade:</u> 80 x 0.75 = 60
Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.
Answer:
66.67% probability of selecting a black marble from the bag.
Step-by-step explanation:
Initially there are 16 marbles, 10 of which are black and 6 of which are red.
A red marble is drawn and not put back. So now there are 15 marbles, of which 10 are black.
So there is a 10/15 = 2/3 = 0.666% 7 = 66.67% probability of selecting a black marble from the bag.
Answer:

Since the measurement can't be negative the correct answer for this case would be 
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:

And we know that the initial area is a half of the entire area in red
, so then:

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

We multiply both terms using algebra and the distributive property and we got:

And we can rewrite the expression like this:

And we can solve this using the quadratic formula given by:

Where
if we replace we got:

And the two possible solutions are then:

Since the measurement can't be negative the correct answer for this case would be 