Answer:
x = 15
Step-by-step explanation:
given that y varies directly with x
mathematically we can express this as
y = k x , where k is a constant
step 1: find k
given x = 3 and y = 21
y = k x
21 = k (3)
k = 7
hence the equation becomes
y = 7 x
when y = 105,
105 = 7x
x = 105 / 7 = 15
Answer:
One mass's kinetic energy is 4 times the other.
Step-by-step explanation:
The formula for kinetic energy is 
Where
KE is the kinetic energy
m is the mass
v is the velocity
- Now, let mass of the first be m (second is identical so mass of 2nd is m as well)
- Let velocity of the first one be v. Since 2nd one is travelling twice as fast, its velocity will be 2v
<u>KE of 1st mass is:</u>

<u />
<u>KE of 2nd mass is:</u>

Hence, the kinetic energy of the 2nd mass is 4 times the first.
Answer:
5
Step-by-step explanation:
2x + 5 = 10
you minus the 5
2x = 5
you divide both sides by 2
x = 5