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Nitella [24]
4 years ago
6

A package of tickets for 4 home games cost $180 . What proportion can you write to find what a 12 -game package cost if all indi

vidual tickets have the same price ?
Mathematics
1 answer:
Amiraneli [1.4K]4 years ago
6 0
You would write it like 4/180.
Then the other one would be
12/x.
To find the individual price you need to divide 180 by 4. You then get 45.
So now to find how many 12 tickets would be, multiply 12 by 45.
The answer would then be $540. Pricey!

Hope this helps!
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Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

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