Perry traveled at an average speed of 55 miles per hour for 5.5 hours and then traveled at an average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that Perry traveled during this time?

465 miles

Step-by-step explanation:

From the question,

S₁ = d₁/t₁ Equation 1

Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.

make d₁ the subject of the equation

d₁ = S₁t₁ Equation 2

Given; S₁ = 55 miles per hour, t₁ = 5.5 hour

Substitute these values into equation 2

d₁ = 55×5.5

d₁ = 302.5 miles.

Also,

d₂ = s₂t₂ Equation 2

Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.

d₂ = 65×2.5

d₂ = 162.5 miles

Hence,

Total distance = d₁+d₂

Total distance = 302.5+162.5

Total disstance = 465 miles

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2