Christian made 1000 pancakes.
Explanation:
Let us represent the total amount of Pancake made by Christian as = K
From the problem;
Christian ate 
of the pancake in the morning = * K = K
We know that Christian cannot eat her pancake and at the same time have it, the remaining pancake will then be:
total amount of cake - fraction eaten
Remainder = K - K= 
K
In the afternoon, we know that she ate 1/4 of the remaining cake:
K* K = 
K
The remaining cake in the afternoon will be:
Total amount of cake remaining from morning - amount eaten in the afternoon
= K - K
= 
K
The fraction of the cake remaining in the afternoon is K
Since she had 300cakes left in the afternoon, then :
K= 300
K = 1000 pancakes
Therefore Christian made 1000 pancakes.
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Yes, our friend is right, because there is no contradiction to the law of conservation of mass in the above equation. It just the mass of the product is equal to the mass of reactants.. and that is shown in the equation you have presented earlier
Displacement depends upon the path taken as it is a vector.
From your problem above we would have a total displacement of;
Defining +x direction as east and -x direction as west
6east-3west+1east+6east-7west
6-3+1+6-7=3 blocks east or + x-direction
So even though they walked a total of 17 blocks it ends up only being 3 blocks total in +xdirection that was travelled by displacement.
Any questions please ask.
Answer:
T = 3.23 s
Explanation:
In the simple harmonic movement of a spring with a mass the angular velocity is given by
w = √ K / m
With the initial data let's look for the ratio k / m
The angular velocity is related to the frequency and period
w = 2π f = 2π / T
2π / T = √ k / m
k₀ / m₀ = (2π / T)²
k₀ / m₀ = (2π / 3.0)²
k₀ / m₀ = 4.3865
The period on the new planet is
2π / T = √ k / m
T = 2π √ m / k
In this case the amounts are
m = 6 m₀
k = 10 k₀
We replace
T = 2π√6m₀ / 10k₀
T = 2π √6/10 √m₀ / k₀
T = 2π √ 0.6 √1 / 4.3865
T = 3.23 s
Answer:
A. 50 m/s
Explanation:
Given in the y direction:
v₀ = 0 m/s
a = 10 m/s²
t = 4 s
Find: v
v = at + v₀
v = (10 m/s²) (4 s) + 0 m/s
v = 40 m/s
In the x direction, the velocity is constant at 30 m/s.
The overall speed is:
v² = (30 m/s)² + (40 m/s)²
v = 50 m/s
