John & friends brought 4 bags of popcorn and 3 sodas at the movie for a total of 13.50. At the next movie John & friend
1 answer:
Answer:
The cost of 5 bags of popcorn and 2 sodas is 14.25 units.
Step-by-step explanation:
We are given the following in the question:
Let x units be the cost of a popcorn bag and y units be cost of soda.
The cost of 4 bags of popcorn and 3 sodas is 13.50.
Thus, we can write the equation:
The cost of 2 bags of popcorn and 5 sodas is 12.00
Thus, we can write the equation:
Solving the two equations, we get,
Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.
Cost of 5 bags and 2 sodas
=
Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.
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Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.
Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get
Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.
For this problem, we'll let the height of the hot air balloon be
Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.