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barxatty [35]
3 years ago
10

a large drink costs 50 cents more than a small drink. write an expression for the total cost of 3 small drinks and 2 large drink

s.
Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0
Since a small drink is the cheapest, make the cost of a small drink=x. Since a large drink costs 50 cents more than a small drink, let a large drink=x+50. The total of the drinks is the sum of the individuals. Since the cost of a small drink is x, 3 drinks cost 3x. Since the cost of a large drink is x+50, the cost of 2 drinks is 2(x+50). The cost of all of the drinks together is 3x+2(x+50). Distribute the 2. 3x+2x+100. Combine like terms. 5x+100. This will give you your answer in cents. If you need an answer in dollars, you multiply that expression by 0.01.
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  (a)  3.8

Step-by-step explanation:

The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.

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<h3>compare angles</h3>

The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.

<h3>compare sides</h3>

Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.

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Only one answer choice satisfies this inequality.

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<em>Additional comment</em>

If you want to do the actual computation, we have ...

  EF/sin(D) = DE/sin(F)

  EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828

  EF ≈ 3.8

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