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yulyashka [42]
3 years ago
15

Kelly uses cruise control to drive at a constant speed. She travels first 192 miles in 3 hours. At the rate, how long will it ta

ke Kelly to drive a total of 448 miles?
Mathematics
2 answers:
ioda3 years ago
5 0

Answer:

Step-by-step explanation:

rate = d / t

rate = 192 / 3

rate = 64 miles / hour

Now you want to know how long it can take to get 448 miles

d = r * t

t = d / r

t = 448/64

t = 7 hours.

You could actually do it using proportions.

192/3 = 448/x                   Cross multiply

192*x = 448*3

192*x = 1344                    Divide by 192

x = 1344/192

x = 7

Do this the way you feel is the best way.

natali 33 [55]3 years ago
4 0
64 miles per hour.
448 divide by 64 = 7
Therefore the answer would be 7 hours.
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3 years ago
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larisa86 [58]
You have to keep order of operations in mind.

1. Take care of the parentheses; distribute.
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3 years ago
Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.
Llana [10]

Answer:

Step-by-step explanation:

\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t} where f(x) is replaced by y

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We can resolve into partial fraction to get Y = L(y)

Let this equals

\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\

Solving we get

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Taking inverse Laplace

y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}

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3 years ago
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Amanda [17]

Answer:

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(1)

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6 0
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