Given,
2pen and 5 pencil cost 120
3pen and 2 pencil cost 114
let pen be X and pencil be Y
2x+5y=120 ......(1)
3x+2y=114 ........(2)
solving 1 and 2 , we can get the value of pen and pencil.
x=30
Y=12
Answer: Option 'E' is correct.
Step-by-step explanation:
Since we have given that
If the length of one piece of rope is 2.8 meters shorter than the length of the other.
Let the length of first piece be 'x'.
Let the length of second piece be 'x-2.8'
Total length of rope = 20.6
So, According to question, it becomes,

So, the greatest number of the length of part of rope is 11.7 m.
Hence, Option 'E' is correct.
Answer:
46
Step-by-step explanation:
Use long division because I can't specifically show you on a computer :/
Answer:4 ways to make a code of 4 letters. 6C4=15, 4!=24, and 15×24=360
hope i helped
Step-by-step explanation:
Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x