Answer:
The rate is cups per hour
Step-by-step explanation:
It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking
We need to find the rate in terms of cups that can be filled by water in 1 hour.
Using unitary method:
it takes for
cup
it will take 1 h for how many cups?
Hence, the rate is cups per hour
Step-by-step explanation:
We can write this word problem as two variables. Let us assume that:
x = Natalie's age
y = Fred's age
The first part of the word problem is that "If you add Natalie's age and Fred's age, the result is 39." Therefore:
Natalie's age + Fred's age = 39
x + y = 39
This will be our first equation. The second equation can be derived from the statement that "If you add Fred's age to 4 times Natalie's age, the result is 78." Therefore:
(4 times Natalie's age) + Fred's age = 78
4x + y = 78
We can now form a system of equations and solve for both x and y:
The simplest way to solve would be using the Substitution method, as seen here:
x + y = 39
y = 39 - x
4x + y = 78
4x + (39 - x) = 78
3x + 39 = 78
3x = 39
x = 13
x + y = 39
13 + y = 39
y = 26
Remember that x = Natalie's age and y = Fred's age. Therefore, Natalie's age is 13 years old and Fred's age is 26 years old.
The different group of 2 players that the coach can pick is 45 groups.
<h3>Selection of groups</h3>
The selection of groups of 2 player can be done using the method of combination.
<h3>Different groups of 2 players</h3>The different group of 2 players that the coach can pick from the 10 players is calculated as follows;
n = 10C2
Thus, the different group of 2 players that the coach can pick is 45 groups.
Learn more about combinations here: brainly.com/question/25821700