5x+100=10x
-5x on both sides (10x-5x=5x)
100=5x
divide by 5 on both sides (100/5= 20)
20=x
Answer: x = 11
Step-by-step explanation:
2x+5 = 3x-6
2x-3x = -6-5
-x = -11
x = 11
Double-check:
11*2= 22 11*3=33
22+5 = 27 33-6= 27
There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
Answer: C y>3x+1
Step-by-step explanation:
- When we graph an inequality with strictly greater of less than sign ('<' or '>'), then the graph has a dashed boundary line .
- Further it indicates that it does not include the points on the line.
From all the given options , only C contains inequality with '>' sign .
Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.
hence, the correct option is C.
