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BARSIC [14]
1 year ago
15

Jennifer wants to make a large container of lemonade. When she makes a full glass of lemonade she uses 5 drops of flavor and 12

ounces of water. How many drops of llavor would be needed for a large water cooler that holds 1,280 ounces (10 gallons).
Mathematics
1 answer:
Julli [10]1 year ago
5 0

The information we have is:

5 drops of flavor are needed for 12 ounces of water.

To solve the problem, first we need to find the amount of drops needed per ounce of water, and then multiply that by the number of ounces that we need which is 1280.

The number of drops per ounce:

To find this, divide 5 drops by 12 ounces:

\frac{5}{12}

5/12 drops are needed per ounce.

The number of drops in 1280 ounces:

Now we multiply 5/12 by 1280:

\frac{5}{12}\times1280

And the result is:

\frac{5}{12}\times1280=0.41666\times1280=533.333

The number of drops needed is: 533.333

Answer: 533.333 Drops

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Answer

The solution to the inequality is x > 22/3 or x < -32/3

Explanation

The given inequality is:

|x+\frac{5}{3}|-3>6

The inequality can be solved as follows:

\begin{gathered} |x+\frac{5}{3}|-3>6 \\  \\ Take-3\text{ }to\text{ }the\text{ }other\text{ }side\text{ }of\text{ }the\text{ }inequality\text{ }sign \\  \\ |x+\frac{5}{3}|>6+3 \\  \\ |x+\frac{5}{3}|>9 \end{gathered}

Now, split the absolute value into two inequalities, for case > 9 or < -9

\begin{gathered} x+\frac{5}{3}>9\text{ }or\text{ }x+\frac{5}{3}9-\frac{5}{3}\text{ }or\text{ }x\frac{22}{3}\text{ }or\text{ }x

Hence the solution to the inequality | x + 5/3 | -3 > 6 is x > 22/3 or x < -32/3

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1 year ago
The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Evgen [1.6K]

Considering the given function, the table is completed as follows:

x|y

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<h3>Which is the function?</h3>

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Hence, when x = -12:

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More can be learned about functions at brainly.com/question/25537936

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