Answer:
Option B
Step-by-step explanation:
Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

Hope that helps!
Answer:
Option (2)
Step-by-step explanation:
x = 1 is represented by a solid point on a number line.
x > 1 is represented by an arrow starting from x = 1 towards infinity
If we mix both the properties, x ≥ will be represented by an arrow starting from a solid point at x = 1 and moving towards the values greater than one.
From the options given,
Arrow mentioned in Option (2) will be the correct representation of the inequality.
(-4/5) / 3 =
-4/5 * 1/3 =
-4/15 mile per minute
Answer:
your answer should be 37:7
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 777 and 147 is 21
Divide both terms by the GCF, 21:
777 ÷ 21 = 37
147 ÷ 21 = 7
The ratio 777 : 147 can be reduced to lowest terms by dividing both terms by the GCF = 21 :
777 : 147 = 37 : 7
Therefore:
777 : 147 = 37 : 7
Let us assume the number to be = x
Then
(80/100) * x = 56
4x/5 = 56
4x = 56 * 5
4x = 280
x = 280/4
= 70
The value of the unknown number is 70. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems in future without requiring any help from outside. Only thing that needs to be taken care of is the calculation part.