Answer:
a) 4 - 
b) 1 - 
c) 6 - 
Step-by-step explanation:
It simply asks the steps to go from the original displacement formula to isolate a (the acceleration). It's just a matter of moving items around.
We start with:

We then move the vt part on the left side, then multiply each side by -1 (to get rid of the negative on the at side and to match answer choice #4):

Then we multiply each side by 2 to get rid of the 1/2, answer #1:

Finally, we divide each side by t^2 to isolate a (answer #6):

Answer:
<em>Beck actually caught 45 fish</em>
Step-by-step explanation:
<u>System of Equations</u>
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
So, it will take 1 liter of milk to make 1/3 jug of tea.
Also, it will take 3 liters of milk to make 1 jug of tea.
Answer:
Step-by-step explanation:
Answer:
Diameter of cylinder = 12 cm
Step-by-step explanation:
Given:
Height of cylinder = 5 cm
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
Find:
Diameter of cylinder
Computation:
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
πr²h = 3[2πrh]
πr²h = 6πrh
Radius of cylinder = 6 cm
Diameter of cylinder = 2 x Radius of cylinder
Diameter of cylinder = 2 x 6
Diameter of cylinder = 12 cm