Answer:
55
Step-by-step explanation:
Combinations formula is used to make choice of 'R' out of 'N' options =
N(C)R = N ! / [ R ! . (N-R)! ]
Total choices to choose 4 out of 8 friends = 8C4
= 8! / (4! 4!)
= 70
Choices for calling them 2 together = 2C2 x 6C2
= 1 x [ 6! / (2! 4!)]
= 15
So : Number of choices that the 2 friends are not called together = Total choices - choices they are called together
= 70 - 15 = 55
Kino said that if play practice does not start on time, the director “will be mad”.
Answer:
1.
Step-by-step explanation:
1. 2x-4=10
2x=14
x=7
2. 3x+3=2x-1
3x-2x=-1-3
x=-4
3. 7x+x=24
8x=24
x=3(
4. 5+x=-18
x=-18-5
x=-23
5. -14=10-6x
6x=10+14
6x=24
x=4
6. 2x-2=x+12
2x-x=12+2
x=14
7. 3x-31=2
3x=2+31
3x=33
x=11
8. 5x-14=16
5x=16+14
5x=30
x=6
9. 2x+8=4(5-x)
2x+8=20-4x
2x+4x=20-8
6x=12
x=2
10. 2x-3=3(1+x)
2x-3=3+3x
2x-3x=3+3
-x=6
Answer:
<h2>x = 60</h2>
Step-by-step explanation:
I hope it helps :)

Answer:
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Step-by-step explanation:
1 batch
Yellow water = 3 teaspoons
Red water = 1 teaspoons
Yellow water : Red water = 3 : 1
2 batches of orange water
Multiply the ratios by 2
Yellow water : Red water
= (3 : 1) * 2
= 6 : 2
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water
Multiply the ratios by 4
Yellow water : Red water
= (3 : 1) * 4
= 12 : 4
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water