Answer:
40
Step-by-step explanation:
(2/5)*n - 6 = 10 Add 6 to both sides
(2/5)*n - 6 + 6 = 10 + 6 Combine
(2/5)*n = 16 Multiply both sides by 5/2
(5/2)(2/5)n = 16*(5/2)
n = 80 / 2
n = 40
For this case we have the following expression:

Since the denominator is equal, then we can add the numerator.
We have then:

Adding similar terms we have:

Rewriting we have:

Doing common factor in the numerator we have:

Factoring the denominator we have:

Canceling similar terms we have:
Answer:
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.
Answer:
The rate at which the distance between the two cars is increasing is 30 mi/h
Step-by-step explanation:
Given;
speed of the first car, v₁ = 24 mi/h
speed of the second car, v₂ = 18 mi/h
Two hours later, the position of the cars is calculated as;
position of the first car, d₁ = 24 mi/h x 2 h = 48 mi
position of the second car, d₂ = 18 mi/h x 2 h = 36 mi
The displacement of the two car is calculated as;
displacement, d² = 48² + 36²
d² = 3600
d = √3600
d = 60 mi
The rate at which this displacement is changing = (60 mi) / (2h)
= 30 mi/h
Number of red marbles/total number of marbles
35/(35+8+7)
35/50
7/10
The probability is 7/10
Well if all angles are suppose to add up to 360 degrees you can the angles to see if the equal up to 360 degrees, 264+96=360.