Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
Answer:
x-7>0
Straight answer: x-7
Step-by-step explanation:
Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0
Answer:
-x +6
Step-by-step explanation:
We assume you want to simplify this.
Use the distributive property to eliminate the parentheses. That property tells you that the factor outside parentheses (2) will multiply both of the terms inside parentheses. It's as though you had a bag (parentheses) with two objects inside. Two such bags will have two of each of those objects.
2(-x +3) +x
= 2(-x) +2(3) +x
= -2x +6 +x
Now, the like terms -2x and +x can be combined.
= x(-2 +1) +6
= x(-1) +6
= -x +6 . . . . . the simplified expression
Answer:
She did not add 5 to 30. ... Mona subtracted 5 where she should have divided 5.
Step-by-step explanation:
Answer:
One thing that is not true would be:
- There isn't a 1 in a unit rate
Step-by-step explanation:
- There is actually a 1 (specifically in the denominator) because the word unit means 1
Hope this helps :)
