A) x/6=9
Subtract 6 from both sides, x=3
B) x/-4=-3
Add 4 to both sides, x=1
C) x/-5=7
Add 5 to both sides, x=12
The car is faster because it’s 120km/hr, wile the train is 75km/hr
Answer:
3876
Step-by-step explanation:
Given the following :
Fraternity members = 20
They are to attend 5 different parties in groups of 4
Meaning a group = 4 persons
Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).
Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.
Group members are in 4's
19C4
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
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Here is the original equation, lets solve this step-by-step
(x + 2)/4 = 5
Now, lets find out how.
We must apply the inverse operation.
4/2 is the reciprocal, so lets multiply that to both sides.
4/2 = 2
5*4 = 20
4x + 8 = 20
-8 -8 Subtract 8 from both sides. (Inverse operation)
4x = 12
4x/4 = 12/4 Divide 4 by both sides (Inverse)
x = 12/4
x = 3 Simplified
Answer: x = 3
