Answer:
Step-by-step explanation:
Simplifying
2m + -6n + 5n + 3m = 0
Reorder the terms:
2m + 3m + -6n + 5n = 0
Combine like terms: 2m + 3m = 5m
5m + -6n + 5n = 0
Combine like terms: -6n + 5n = -1n
5m + -1n = 0
Solving
5m + -1n = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'n' to each side of the equation.
5m + -1n + n = 0 + n
Combine like terms: -1n + n = 0
5m + 0 = 0 + n
5m = 0 + n
Remove the zero:
5m = n
Divide each side by '5'.
m = 0.2n
Simplifying
m = 0.2n
Answer:
6.25 mins (6 minutes 15 seconds)
Step-by-step explanation:
96 tests = 2mins
300 tests = x mins
X = 2/96 x 300
X = 6.25 mins
Answer:

Step-by-step explanation:
The volume of a cylinder is given by :
.....(1)
Where
r and h are the radius and the height of the cylinder.
We need to solve the equation of r. Cross multiplying both sides in equation (1).

Dividing both sides by
. So,

So, the radius of the cylinder is equal to
.
Answer:
The speed of Murphy to cover one lap is
miles per hour .
Step-by-step explanation:
Given as :
The total distance of one lap around track = d =
miles
The time taken by Murphy to walk one lap = t =
hours
Let The speed of Murphy = s miles per hour
<u>Now, According to question</u>
Speed = Distance × Time
Or, s = d × t
Or, s =
miles ×
hours
Or, s =
mi/h
Or, s =
mi/h
So,The speed of Murphy = s =
miles per hour
Hence, The speed of Murphy to cover one lap is
miles per hour . Answer