A theater has a seating capacity of 750 and charges $5 for children, $7 for students, and $9 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4950. How many children attended the show
Answers
Let 'c' be the number of children, 'a' be the number of adults and 's' be the number of students in the theater.
Since, there are total 750 people in the theater.
So, c + s + a = 750 (Equation 1)
Now, it is given that there were half as many adults as children and students combined.
So,
So,
Putting the value of "c+s" in equation 1.
a = 250
Now, it is given that the receipts totaled $4950 and it charges $5 for children, $7 for students, and $9 for adults.
So, (equation 2)
Since,
So,
Substituting the values of 's' and 'a' in equation 2, we get
So, c = 400
Therefore, there were 400 children at the theater.
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Solve the following problem first using a tape diagram and then using an equation: In a school choir, 1/2 of the members were girls. At the end of the year, 3 boys left the choir, and the ratio of boys to girls became 3:4. How many boys remained in the choir?
Answers
f(n) = 1/2 * f(n-1) + 2
f(1) = 8
f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
f(3) = 1/2 * f(3-1) + 2 = 1/2 * f(2) + 2 = 1/2 * 6 + 2 = 3 + 2 = 5
f(4) = 1/2 * f(4-1) + 2 = 1/2 * f(3) + 2 = 1/2 * 5 + 2 = 5/2 + 2 = 5/2 + 4/2 = 9/2 = 4 1/2
The correct result would be 4 1/2.
Answers
Answer: 37
Step-by-step explanation:
First, we need to find what h(-8) is. We can do this by substituting and simplifying the given function.
Given:
h(x) = x² - 5x +7
Substitute:
h(-8) = (-8)² - 5(-8) +7
Square and multiply:
h(-8) = 64 + 40 +7
Add:
h(-8) = 111
Next, we can find one-third of this. To do this, we will multiply.
Multiply:
(1/3) * 111 = 37
Answers
Answer:
( 2/9 )
Step-by-step explanation:
Okay, so since the events A and B are independent, the probability that both of them do not occur is the product of their individual probabilities of not occurring.
The probability of event A not occurring, denoted as ( P(A') ), is equal to 1 minus the probability of A occurring. Similarly, the probability of event B not occurring, denoted as ( P(B') ), is equal to 1 minus the probability of B occurring.
So, ( P(A') = 1 - P(A) = 1 - 1/3 = 2/3 ) and ( P(B') = 1 - P(B) = 1 - 2/3 = 1/3 ).
Since A and B are independent, the probability that both A and B do not occur is simply the product of their individual probabilities of not occurring:
[ P(N = 0) = P(A' cap B') = P(A')P(B') = (2/3) times (1/3) = 2/9 ]
So, the probability that no events occur is ( 2/9 ).
Hope this helps! :)
Answers
range is the set of number you get from inputing the domain
normally domain is x and range is y
(x,y)
domain is all 1st number
range is all 2nd numbers
doman={-5,-3,0,3}
range={5,2,3} (if it repeats, don't list)
Answers
y=amount of adult tickets sold
2 times of children as adult
x=2y
total cost is 800
5x+10y=800
divide both sides by 5
x+2y=160
x=2y
2y+2y=160
4y=160
divie by 4
y=40
x=2y
x=2(40)
x=80
80 children tickets
40 adult tickets
Answers
Answer:
The lowest common denominator for parts of a dozen is 12.
Step-by-step explanation: