Answer:
x>−6,x<−12
Step-by-step explanation:
Break down the problem into these 2 equations.
x+9>3x+9>3
-(x+9)>3−(x+9)>3
Solve the 1st equation: x+9>3x+9>3.
x>-6x>−6
3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.
x<-12x<−12
Collect all solutions.
x>-6,x<-12x>−6,x<−12
There are 5+6+4+3+2=20 m&m's in the bag.
Calculate in how many ways you can choose 3 m&m's from 20:

There are 6 yellow m&m's.
Calculate in how many ways you can choose 3 m&m's from 6:

The probability is the number of ways of choosing 3 m&m's from 6 m&m's divided by the number of ways of choosing 3 m&m's from 20 m&m's.

The probability is 1/57.
Answer:
9
Multiples of 3: 3,6,9,12
Multiples of 9: 9, 18, 27
The smallest of the multiples is 9
Step-by-step explanation:
Answer:
The missing length is 2x+5
Step-by-step explanation:
Given equation of volume of cuboid is V= 
Figure show that
Length of cuboid is ?
Width of cuboid is (x+4)
Height of cuboid is (x+2)
The volume of cuboid is given by
V=Length x Width x Height
Let Length be (bx+a)
The volume of cuboid will be

![V=(bx+a)[x^{2}+4x+2x+8 ]](https://tex.z-dn.net/?f=V%3D%28bx%2Ba%29%5Bx%5E%7B2%7D%2B4x%2B2x%2B8%20%5D)
![V=bx[x^{2}+6x+8]+a[x^{2}+6x+8]](https://tex.z-dn.net/?f=V%3Dbx%5Bx%5E%7B2%7D%2B6x%2B8%5D%2Ba%5Bx%5E%7B2%7D%2B6x%2B8%5D)
![V=[bx^{3}+6bx^{2}+8bx]+[ax^{2}+6ax+8a]](https://tex.z-dn.net/?f=V%3D%5Bbx%5E%7B3%7D%2B6bx%5E%7B2%7D%2B8bx%5D%2B%5Bax%5E%7B2%7D%2B6ax%2B8a%5D)
![V=[bx^{3}+(6b+a)x^{2}+(8b+6a)x+8a]](https://tex.z-dn.net/?f=V%3D%5Bbx%5E%7B3%7D%2B%286b%2Ba%29x%5E%7B2%7D%2B%288b%2B6a%29x%2B8a%5D)
On comparing coefficient with given equation of volume
We get,
b=2 and 8a=40
Therefore, the value of a is 5 and b is 2
Thus, The missing length is bx+a=2x+5
Answer:
See below for answers and explanations
Step-by-step explanation:
1) Substitute d=100 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(100))
s=sqrt(981)
s≈31.32
Therefore, the speed of the wave will be about 31.3 m/s
2) Substitute d=1000 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(1000))
s=sqrt(9810)
s≈99.05
Therefore, the speed of the wave will be about 99 m/s