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3 years ago

15

The speed of a stream is 2 mph. A boat travels 4 miles upstream in the same time it takes to travel 8 miles downstream. What is

the speed of the boat in still water?

1 answer:

Amanda [17]3 years ago

7 0

4 = (r-2) t

8 = (r+2) t

4 = (r-2) * [8/(r+2)]

4 = (8r-16)/ (r+2) . . .multiply by 2

4r + 8 = 8r - 16

4r = 24

r = 6

hope this helps

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To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry c

Dafna1 [17]

Answer:

To spend at most $93, they need to rent the room less than or equal 13 hours.

Step-by-step explanation:

<u><em>The complete question is</em></u>

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,

Let

t ----> the number of hours

we know that

I this problem the word "at most" means "less than or equal to"

The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93

so

The inequality that represent this situation is

$6t+15\leq 93$

solve for t

subtract 15 both sides

$6t\leq 93-15$

$6t\leq 78$

Divide by 6 both sides

$t\leq 13\ hours$

therefore

To spend at most $93, they need to rent the room less than or equal 13 hours.

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Archy [21]

3x/4-y=13 or choice B

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According to this diagram, what is tan 67° ?

Zanzabum

Answer:

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Step-by-step explanation:

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andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

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Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

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