Answer: 4 cup
Step-by-step explanation:
Here, the total number of cups in lemonade = 20 cups
In which some are cup of lemon juice and some are cups of water.
And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4
Let the cups of lemon juice in one lemonade = 1 x
And, The cups of water in one lemonade = 4 x
Where x is any number.
Thus, 1 x + 4 x = 20
⇒ 5 x = 20
⇒ x = 20/5 = 4
Thus, Damon uses 4 cup of lemon juice in one lemonade.
54-15=39
if you want to check your answer you add 39+15=54
5)
a. The equation that describes the forces which act in the x-direction:
<span> Fx = 200 * cos 30 </span>
<span>
b. The equation which describes the forces which act in the y-direction: </span>
<span> Fy = 200 * sin 30 </span>
<span>c. The x and y components of the force of tension: </span>
<span> Tx = Fx = 200 * cos 30 </span>
<span> Ty = Fy = 200 * sin 30 </span>
d.<span>Since desk does not budge, </span><span>frictional force = Fx
= 200 * cos 30 </span>
<span> Normal force </span><span>= 50 * g - Fy
= 50 g - 200 * sin 30
</span>____________________________________________________________
6)<span> Let F_net = 0</span>
a. The equation that describes the forces which act in the x-direction:
(200N)cos(30) - F_s = 0
b. The equation that describes the forces which act in the y-direction:
F_N - (200N)sin(30) - mg = 0
c. The values of friction and normal forces will be:
Friction force= (200N)cos(30),
The Normal force is not 490N in either case...
Case 1 (pulling up)
F_N = mg - (200N)sin(30) = 50g - 100N = 390N
Case 2 (pushing down)
F_N = mg + (200N)sin(30) = 50g + 100N = 590N
