Answer:
(6,2)
Step-by-step explanation:
Variable Definitions:
x= the number of commercials
y= the number of movies
Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:
50x+150y=600
Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.
x=3y
Write System of Equations:
50x+150y=600
x=3y
Solve for y in each equation:
1) 50x+150y=600
150y=−50x+600
y=-1/3x+4
2) x=3y
y=1/3x
The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:
Emily's songs were played on 6 commercials and 2 movies.
Answer:
Step-by-step explanation:
1/10 * 1/4 = 1/14
1/2 because there is a 50/50% chance its either heads or tails
Answer: 8 minutes, 16 minutes, 24 minutes, 32 minutes
Step-by-step explanation: 12x2=24. 8x2=16. 12x3=36. 8x3=24. 12x4=48. 8x4=32.
<u>Answer:</u>
The probability of rolling a number less than 4 and spinning a consonant is 
.
<u>Step-by-step explanation:</u>
The probability of rolling a number less than 4 and spinning a consonant
= P(rolling a number less than 4) x P(spinning a consonant)
Step 1:Finding P(rolling a number less than 4)
The total number of outcomes = 6
The number of possible outcomes for getting a number less than 4 = 3
So the probability = 
Step 2: Finding P(spinning a consonant)
Total number of outcomes = 26
The number of consonant = 21
Thus P(spinning a consonant) = 
Step 3: The probability of rolling a number less than 4 and spinning a consonant
From (1) and (2)
=> 
=> 
=>
