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ArbitrLikvidat [17]
2 years ago
15

An 80-ounce bottle of apple juice contains 32 ounces of water. A 64-ounce bottle of orange juice has 48 ounces of water. Which j

uice has a greater percent of water?
Mathematics
1 answer:
Sliva [168]2 years ago
7 0

Answer:

<u>Orange juice</u> has a greater percent of water.

Step-by-step explanation:

Given:

An 80-ounce bottle of apple juice contains 32 ounces of water. A 64-ounce bottle of orange juice has 48 ounces of water.

Now, to find in which juice greater percent of water is there.

An 80-ounce bottle of apple juice contains 32 ounces of water.

Total ounces of juice = 80.

Total ounces of water = 32.

So, to get the percent of water:

\frac{32}{80}\times 100

=0.4\times 100

=40\%.

Now,

A 64-ounce bottle of orange juice has 48 ounces of water.

Total ounces of juice = 64.

Total ounces of water = 48.

So, to get the percent of water in bottle of orange juice:

\frac{48}{64} \times 100

=0.75\times 100

=75\%.

<u><em>Thus, in bottle of orange juice contains 75% of water and in bottle of apple juice contains 40% of water.</em></u>

Therefore, orange juice has a greater percent of water.

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Answer:

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Step-by-step explanation:

I'm going to use the following identity to help with the difference inside the tangent function there:

\tan(a-b)=\frac{\tan(a)-\tan(b)}{1+\tan(a)\tan(b)}

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Let's continue on to letting b=\cos^{-1}(\frac{1}{7}).

Let's go ahead and say what the restrictions on b are.

b is a number in between 0 and \pi.

So anyways b=\cos^{-1}(\frac{1}{7}) implies \cos(b)=\frac{1}{7}.

Let's use the Pythagorean Identity again I mentioned from before to find the sine value of b.

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