Greetings!
This can be solved by creating a simple equation.

Solve for x.

Find the LCM.


Add
-5/12 to both sides.

Simplify.

Find the LCM.


He kept 7/12 of the raisins for himself.
Hope this helps.
-Benjamin
Zero property because you are using zeros to multiply
The correct simplifications of powers of i are:
a. i^27=−i
d. i^8=1
e. i^5=i
Step-by-step explanation:
We know that

We can use the smaller powers of i to solve the larger powers.
a. i^27=−i

b. i^28=i

c. i^14=1

d. i^8=1

e. i^5=i

Hence,
The correct simplifications of powers of i are:
a. i^27=−i
d. i^8=1
e. i^5=i
Keywords: Imaginary units, Iota
Learn more about imaginary units at:
#LearnwithBrainly
<span>Let the number of chairs in a row be x, then the total number of chairs is 9x + 3 = 7x + 19. i.e. 9x + 3 = 7x + 19; 9x - 7x = 19 - 3; 2x = 16 x = 16/2 = 8. Thus there are 8 chairs in each row. Therefore, the total number of chairs is given by 9(8) + 3 = 72 + 3 = 75.I hope that my answer is helpful! Let me know if you need something more :)</span>
Answer: f(x) = 195 - x*5
Step-by-step explanation:
Colton has 120 small prizes and 75 larger prizes.
Then at the start, he has 120 + 75 = 195 prizes.
In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.
Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:
f(x) = 195 - x*5
Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.