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alisha [4.7K]
3 years ago
5

Finding out how many events can someone attend with the cost of $36

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0
They're allowed to join for $15. And for every event, they have to pay $3.

3x = 21

x = 7

Someone who has $36 can attend 7 events.
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A train leaves at 1314 and arrives at 1508. It travelled at an average speed of 105 km/h.
Paraphin [41]

Answer: The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km

3 0
3 years ago
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sleet_krkn [62]
You would use the bottom right box :)
7 0
3 years ago
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27. If three more than one-fourth of a number is
ololo11 [35]

Answer:

8

Step-by-step explanation:

let the number be n , then

\frac{1}{4} n + 3 = n - 3 ( multiply through by 4 to clear the fraction )

n + 12 = 4n - 12 ( subtract 4n from both sides )

- 3n + 12 = - 12 ( subtract 12 from both sides )

- 3n = - 24 ( divide both sides by - 3 )

n = 8

That is the number is 8

8 0
3 years ago
At the AoPS office, mice vary inversely with cats, that is, $\text{mice}=\frac{k}{\text{cats}}$, for some value of $k$. When the
lesya692 [45]

Answer:

540

Step-by-step explanation:

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3 years ago
Changes in Mean
egoroff_w [7]
It decreases by 0.5
The original mean was 5.5
The new mean is 5
8 0
4 years ago
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