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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The answer is 3. Photosynthesis removes carbon dioxide while respiration puts back carbon dioxide
<span>Plants there are a lot. Australian plants are extremely hardy an have adapted to grow in conditions others have not. So when taken outside of Australia they do very, very well. Animals, less so. But there are a few very interesting cases.
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Answer:
0.61°
Explanation:
Since the box move at constant velocity, it means there is no acceleration then we can say it has a balanced force system.
Pulling force= resistance force
From the formula for pulling force,
F(x)= Fcos(θ)
= 425×cos(35.2)
=347N
The force exerted downward at an angle of 35.2° below the horizontal= Fsin(θ)= 425sin(35.2)
=425×0.567=245N
Resistance force= (325N+ 245N) (α)= 570N(α)
We can now equates the pulling force to resistance force
570 (α)= 347N
(α)= 347/570
= 0.61
Answer:
The amount of current that must flow through the wire for it to be suspended against gravity by magnetic force = 6.125 A
Explanation:
Force on a wire carrying current in an electric field is given by
F = (B)(I)(L) sin θ
For this question,
The magnetic force must match the weight of the wire.
F = mg
mg = (B)(I)(L) sin θ
(m/L)g = (B)(I) sin θ
Mass per unit length = 75 g/m = 0.075 kg/m
B = magnetic field = 0.12 T
I = ?
g = acceleration due to gravity = 9.8 m/s
θ = angle between wire's current direction and magnetic field = 90°
0.075 × 9.8 = 0.12 × I sin 90°
I = 0.075 × 9.8/0.12 = 6.125 A