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Naily [24]
3 years ago
7

A fruit punch uses 1.5 cups of orange juice for every cup of apple juice.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

16/3

Step-by-step explanation:

Every cup of apple juice goes along with 1.5 cups of ornage juice. So, if you divide 8 cups of ornage juice by the 1.5, you get 16/3 cups of apple juice.

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Answer:

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Step-by-step explanation:

Given 2cos^2x-cost-1=0, let's simplify this problem by temporarily replacing cos x with y:

2y^2 - y -1 = 0

This can be solved by factoring:  (2y + 1)(y - 1) = 0.  From this we get two solutions:  y = -1/2 and y = 1.

Remembering that we let y = cos x, we now solve:

cos x = -1/2 and cos x = 1.

Note that cos x = 1 when x = 0 and the "adjacent side" coincides with the hypotenuse.

cos x = -1/2 when the hypotenuse is 2 and the "adjacent side" is -1.  This has two solutions between 0 and 360 degrees:  150 degrees and  270 degrees.

Four answer choices are given.  Both (a) (0 degrees) and (b) (150 degrees) satisfy the original equation.  Thus, the solution set is {0, 150} (degrees).

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