Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Answer:
4 hours
Step-by-step explanation:
In 6 hours, J paints 1 room
So, in 1 hour, J paints 1/6 th of the room
Using similar logic, in 1 hour, T paints 1/12 th of the room.
Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.
1/4 of the room is painted in 1 hour
So, 1 room is painted in 1 1/4=4 hours
D. to clearly state why the experiment was performed
Answer: 16 2/3%
Step-by-step explanation:
Given that:
Shape are either square or circle with both equally likely :
Hence,
P(square) = 1/2 ; P(circle) = 1/2
Color are either blue, red or green with the three equally likely ;
P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3
Probability of creating a green circle :
Independent probability
P(green n circle) = p(green) * p(circle)
P(green n circle) = 1/3 * 1/2
P(green n circle) = 1/6
= 0.16666
(0.16666 * 100%) = 16.6666%
= 16 2/3%
Total area of land = 1 + 1/2 = 3/2 square miles
Area of square fields = 1/4 x 1/4 = 1/16 square miles
Number of fields = (3/2) / (1/16) = 24 fields.
