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3 years ago

A minivan traveling at 50 mph and a motorcycle traveling at 60 mph cover the same distance. It takes the

Mathematics

2 answers:

telo118 [61]3 years ago

6 0

I hope this helps you

distance is X

motorcycle 60 mph and times is t

minivan 50 mph and times is t+1

X=60.t

X=50(t+1)

60t=50t+50

10t=50

t=5 hour

t+1=6 hour

Iteru [2.4K]3 years ago

4 0

Answer:

5 hours.

Step-by-step explanation:

Speed = distance / time

For the motorcycle:

60 = d/ t (where d = distance and t = time in hours for the motorcycle).

d = 60t

For the minivan:

50 = d /( t + 1) ( as this takes 1 hour longer than the motorcycle).

d = 50(t + 1)

The distance d is the same for both vehicle,

Therefore:

50(t + 1) = 60t

60t - 50t = 50

10t = 50

t = 5 hours

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4 years ago

Find the value of yy in each equation. Explain how you determined the value of y.

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Answer:

a) 3

b) 9

c) 81

d) x

Step-by-step explanation:

We know the properties of log function as:

1) log(AB) = log(A) + log(B)

2) $\log(\frac{A}{B}) = \log(A)+\log(B)$

3) log(aᵇ) = b × log(a)

also,

4) $\log_b(a)=\frac{\log(a)}{\log(b)}$

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a. y = $3^{\log_3(3)}$

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taking log both sides, we get

log(y) = $\log(3^{\log_3(3)})$

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log(y) = log₃(3) × log(3)

using 4, we get

log(y) = $\frac{\log(3)}{\log(3)}$ × log(3)

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taking anti-log both sides

y = 3

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Now,

taking log both sides, we get

log(y) = $\log(3^{\log_3(9)})$

using 3, we get

log(y) = log₃(9) × log(3)

using 4, we get

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taking anti-log both sides

y = 9

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Now,

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using 3, we get

log(y) = log₃(81) × log(3)

using 4, we get

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log(y) = log(81)

taking anti-log both sides

y = 81

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taking anti-log both sides

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