Answer:
The play started at 5:10 PM.
Step-by-step explanation:
We are given the following in the question:
Length of first act = 45 minutes
Length of intermission = 55 minutes
Length of second act = 1 hour and 10 minutes
1 hour = 60 minutes
Thus, length of second act =

The second part ended at 8:00 PM. We have to find the starting time of play.
Starting time of play =

Thus, the play started at 5:10 PM.
J+S=24 and J=S+6 represents the relationship between ages.
John is 15 years old and Sally is 9 years old.
Step-by-step explanation:
Let,
John's age = J
Sally's age = S
According to given statement, the sum of their ages is 24;
Eqn 1
John is 6 years older than Sally means we will add 6 in Sally's age;
Eqn 2
Putting value of J from Eqn 2 in Eqn 1;

Dividing both sides by 2

Putting S=9 in Eqn 2

J+S=24 and J=S+6 represents the relationship between ages.
John is 15 years old and Sally is 9 years old.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
b.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
The number of ways there are to get to the point (7,4) if you have to pass through the point (2,2) is; 1266 ways
<h3>How to find the lattice Paths?</h3>
The formula to get the number of ways to get to the lattice point (x, y) (supposing x, y ≥ 0) by taking steps of one unit each either in the eastward or northward direction is exactly;
(x + y)
= (x + y)!/(x!y!)
( x )
Thus, number of ways from (0, 0) to (2, 2) = (2 + 2)!/(2!2!) = 6 ways
Number of ways to get to point (7,4) from (2, 2) is;
((7 - 2) + (4 - 2))!/(2!2!) = 7!/(2!2!) = 1260
Thus, total number of ways = 1266 ways
Read more about Lattice paths at; brainly.com/question/2109763
#SPJ4
Answer:
The z value is - 2.88
Step-by-step explanation:
The formula of the z-score of a population is z = (x¯ - μ)/(σ/
)
The given in the problem is:
- μ = 121
- σ = 21
- x¯ = 112.35
- n = 49
Let us substitute all of these values in the rule above

Simplify up and down


z = - 2.883333
Round it to 2 decimal places
∴ z = - 2.88
The z value is - 2.88