Answer:
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
Answer:
D.
24
Step-by-step explanation:
good luck have a nice day
Answer:
The answer is 3
Step-by-step explanation:
The solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7
<h3>How to determine the solution set of the equation?</h3>
The equation is given as:
x^2 + 2x - 48 = 0
A quadratic equation is represented as:
ax^2 + bx + c = 0
By comparing both equations, we have
a = 1, b = 2 and c = -48
The solution of the quadratic equation is then calculated using
x = (-b ± √(b^2 - 4ac))/2a
Substitute values for a, b and c in the above equation
x = (-2 ± √(2^2 - 4 * 1 * -48))/2 * 1
This gives
x = (-2 ± √196)/2
Evaluate the square root of 196
x = (-2 ± 14)/2
Divide through by 2
x = -1 ± 7
Hence, the solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7
Read more about quadratic equation at:
brainly.com/question/1214333
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