18÷(5-2)
18÷3
6 is the answer
The point-slope formula is y-y1=m(x-x1). You will then substitute into this equation. The answer will be y-2=-8(x+3).
Answer:
The remainder is 1
Step-by-step explanation:
Given the Fibonacci sequence
F_1 = F_2 = 1, and
F_(n + 2) = F_(n + 1) + F_n
We want to find the remainder when F_(1999) is divided by 5.
Let us write the first 20 numbers of the sequence in (mod 5). They are
F_1 = 1,
F_2 = 1,
F_3 = 2,
F_4 = 3,
F_5 = 5 = 0 (mod 5),
F_6 = 3,
F_7 = 3,
F_8 = 1
F_(9) = 4
F_(10) = 0
F_(11) = 4
F_(12) = 4
F_(13) = 3
F_(14) = 2
F_(15) = 0
F_(16) = 2
F_(17) = 2
F_(18) = 4
F_(19) = 1
F_(20) = 0
We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0
Now, 1999 = 19(mod 20)
The 19th number in the sequence is 1.
So, the remainder is 1.
Step-by-step explanation:
General line equation: y = mx + c.
2y + 3x = 5
2y = -3x + 5
y = -1.5x + 2.5
Hence m = -1.5 and c = 2.5.
Answer:
24 munchkins.
Step-by-step explanation:
Let C be the number of chocolate and D be number of glazed donut holes in the original box.
We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:
Upon substituting C's value from equation (2) in equation (1) we will get,
Let us have a common denominator on right side of equation.


Multiplying both sides of our equation by 7, we will get,

Multiplying both sides of our equation by 11, we will get,
Therefore, the total number of Munchkins in original box is 24.