Answer:
Let x = # of commercials
y = # of movies
<u>System of Equations:</u>
x + y = 90
40x + 110y = 500
Step-by-step explanation:
We have to set our variables before we start solving. After setting the variables, we can set up the equations. If x = # of commercials and y = # of movies, then we can assume x + y = 90, as there have been a total of 90 commercials and movies played altogether. Then, we know that their worth is $500, so the price of all the commercials played and the price of all the movies played (which is 40x + 110y) sum to $500.
The required distance covered is 90 units
<h3>Distance formula</h3>
The formula for calculating the distance between two points is expressed as shown:
The required coordinates missing are (0, 42.78) and (90.42.78). Substiute the coordinate into the formula:


Hence the required distance covered is 90 units
Learn more on distance formula here: brainly.com/question/1872885
Answer:
(3, -6) and (7, -6)
Step-by-step explanation:
Plugging it in the slope formula we get -6+6 = 0, meaning the division will be 0. This the slope is 0
Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.
We are to find the probability of selecting 1 red apple and 2 yellow apples.
Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.
Then, we have

Therefore, the probability of event A is given by

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.