Answer:
The number of different ways to arrange the 9 cars is 362,880.
Step-by-step explanation:
There are a total of 9 cars.
These 9 cars are to divided among 3 racing groups.
The condition applied is that there should be 3 cars in each group.
Use permutation to determine the total number of arrangements of the cars.
There are 9 cars and 3 to be allotted to group 1.
This can happen in 
ways.
That is, 
ways.
There are remaining 6 cars and 3 to be allotted to group 2.
This can happen in 
ways.
That is, 
ways.
There are remaining 3 cars and 3 to be allotted to group 3.
This can happen in 
ways.
That is, 
ways.
The total number of ways to arrange the 9 cars is: 
Thus, the number of different ways to arrange the 9 cars is 362,880.
We need to add like terms and distribute before we try to isolate X.
10x+3=8x+4-2
10x+3=8x+2
Now let's isolate x. We should start with subtracting 8x from both sides.
2x+3=2
Now, let's subtract 3 from both sides.
2x=-1
Now divide each side by 2.
X=-0.5
We now know x is -0.5, so let's check.
5(-0.5)+5(-0.5)+3=4[2(-0.5)+1]-2
-2.5-2.5+3=4(0)-2
-5+3=0-2
-2=-2
So, X= -0.5
Answer:
For the first two:
16(2+3)
3(5+19)
Step-by-step explanation:
To find the gcf, you must list the factors of both numbers, and whichever one is greatest, you would put on the outside. Like 16 is the gcf of 32 and 48, so that number remains on the outside. Now, for the inside numbers, 16 times what equals 32? 16 times 2. 16 times what equals 48? 16 times 3 equals 48. Put those in the parenthesis, and put an addition sign in between them.
Answer:
-16
Step-by-step explanation:
Yes ; "x = 36" , is, in fact, a solution.
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Given the equation: "x / 9 = 4" ;
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"x = 36" is a solution ; since "36 ÷ 9 = 4" ; and since x = (4)*(9) = 36.
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