Based on the scenario, the case must be filled like this :
blue/green/black x blue/ green/black x blue/green/black x random x random
Different ways he can arrange it :
3 x 5!/(2!x2!) + 3x <span>5!/3!
</span>
90 + 60
= 150 ways
hope this helps
Answer:
A
Step-by-step explanation
You can divide 6x,9y and -15 by 3
6x/3=2x
9y/3=3y
-15/3=(-5)
Combine them to get the factored form of 6x+9y-15:
3(2x+3y-5)
He bought 3 cucumbers because 3*5=15, 15-6=9, 9*.7=6.3, .3*3=.9, .9+6.3=7.2
Remark
There is no short way to do this problem and no obvious way to get the answer other that to solve each part.
Solve
A
Multiply by 2
x + 1.6 = 2(x + 0.1) Remove the brackets
x + 1.6 = 2x + 0.1*2
x + 1.6 = 2x + 0.2 Subtract x from both sides
1.6 = x + 0.2 Subtract 0.2 from both sides
1.6 - 0.2 = x
1.4 = x
Circle A
B
Subtract 2x from both sides.
3x - 2x = 1.4
Circle B
C
Remove the brackets.
4x + 6 = 2x - 6 Add 6 to both sides
4x + 12 = 2x Subtract 4x from both sides.
12 = -2x Divide by - 2
12/-2 = x
x = - 6 Don't circle C
D
I'm going to be very scant in my solution of this. You can fill in the steps.
3x = 4.2
x = 4.2/3
x = 1.4
Circle D