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Aleksandr-060686 [28]
3 years ago
11

To make five cups of lemonade you mix three cups of water with two cups of lemon juice. If there are sixteen cups in a gallon, h

ow many cups of lemon juice are needed to make ten gallons of lemonade
Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

64 cups of lemon juice

Explanation:

First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:

5 cups of lemonade→2 cups of lemon juice

16 cups of lemonade→x

x=(16*2)/5=6.4 cups of lemon juice

Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:

1 gallon of lemonade→6.4 cups of lemon juice

10 galons of lemonade→x

x=(10*6.4)/1=64 cups of lemon juice

According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.

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The sail of a boat is in the shape of a right triangle, as shown below:
dolphi86 [110]
Answer: Choice C
7 divided by cosec 50 degrees

=====================================

Explanation:

Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)

-----------------

Let the horizontal leg be x

This leg is opposite the angle 50 degrees. The hypotenuse is 7

Opposite = x
Hypotenuse = 7

We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite

Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule

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cosecant = hypotenuse/opposite
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This is why the answer is choice C

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