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3 years ago

13. How many drinks are in a 2 oz martini made with 100 proof alcohol

Mathematics

1 answer:

pentagon [3]3 years ago

7 0

Answer:

4 drinks.

Step-by-step explanation:

-One drink is defined as having one-half ounce of pure ethyl alcohol; each of the following is considered "one drink." *1 oz of 100 proof distilled spirits at 50% alcohol.

$Drinks=\frac{2oz}{0.5oz}\\\\=4$

Hence, 2 oz martine has 4 drinks

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[TON OF POINTS] [3 QUESTIONS - Easy money :)]

kherson [118]

The correct answers are:

1/6πd³;
3; and
9 cm.

Explanation:

For the first question:

The formula for the volume of a sphere is:

$V=\frac{4}{3}\pi r^3$

We have the diameter, not the radius. The diameter is twice as much as the radius; this means to find the radius using the diameter, we divide by 2. This gives us:

$V=\frac{4}{3}\pi (\frac{d}{2})^3$

When we raise a fraction to a power, we raise both the numerator and the denominator to that power. This gives us:

$V=\frac{4}{3}\pi(\frac{d^3}{2^3})
\\
\\=\frac{4}{3}\pi(\frac{d^3}{8})$

We start multiplying this:
$V=\frac{4\pi}{3}(\frac{d^3}{8})
\\
\\=\frac{4\pi d^3}{3\times 8}
\\
\\=\frac{4\pi d^3}{24}
\\
\\=\frac{4}{24}\pi d^3
\\
\\=\frac{1}{6}\pi d^3$

For the second question:

The planes of symmetry are the planes through which we can fold the figure in half. These are in the middle horizontally through the figure; in the middle vertically (through the width) through the figure; and in the middle vertically (through the length) through the figure. This makes 3.

For the third question:

The formula for the volume of a triangular prism is:

$V=\frac{1}{3}(\frac{1}{2}bh)H$ ,

where b is the base of the triangular base of the pyramid, h is the height of the triangular base of the pyramid, and H is the height of the pyramid.

We know the volume is 90; the base of the triangle is 12 and the height is 5:

$90 = \frac{1}{3}(\frac{1}{2}\times 12\times 5)H
\\
\\90 = \frac{1}{3}(\frac{1}{2}\times 60)H
\\
\\90 = \frac{1}{3}(30)H
\\
\\90 = 10H$

We divide both sides by 10:

90/10 = 10H/10
9 = H

4 0

4 years ago

1) y=3x3-3 non liner or liner? Explain

bija089 [108]

Answer:

Step-by-step explanation:

A linear equation, when graphed, gives a straight line. This looks like you meant y=3x^3 - 3

There are parts of this equation that look like they could be linear, but the graph below shows that the graph does not go straight through -3. The graph therefore is non-linear.

6 0

3 years ago

Pls help being timed

Ivenika [448]

$\frac{2.75}{9} =\frac{x}{(2/9)}$

To solve this proportion, cross multiply.

By cross multiplying, you will multiply 2.75 * (2/9) and 9 * x.

0.61 = 9x

Divide both sides by 9.

x = 0.067... which rounds to 0.068, so your answer is:

D) x $\approx$ 0.068

3 0

3 years ago

What type (irrational, Rational, whole, natural, integer) of numbers are these?

laiz [17]

Answer:

See Below

Step-by-step explanation:

1) Rational AND Integer

2) Irrational

3) Whole Number

4) Natural Number

Hope this helps!

5 0

3 years ago

What is the value of x in the equation 2x^2 +5x=12 *show work pls thankyouuuu

Andreyy89

Answer:

Step-by-step explanation:

you can factor this pretty straight forward

2x^2 +5x=12

2x^2 +5x-12=0

Use FOIL

(2x-3)(x-4)=0

then solve for each part separately, b/c if either side is zero the whole thing is zero

2x-3 = 0

2x = 3

x = 3/2

then

x-4=0

x = 4

3 0

3 years ago