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vaieri [72.5K]
3 years ago
13

"a guest orders a drink that contains 1½ ounces of 80-proof vodka and 12 ounces of beer. approximately how many drinks does this

beverage contain?"
Mathematics
2 answers:
frosja888 [35]3 years ago
7 0
A guest orders a drink = <span>1½ ounces of 80-proof vodka and 12 ounces of beer
it means it contains 2 drinks.
Because 3 ounces of 80 proof vodka is considered as 2 drinks and half of that will be considered as 1 drink, and 12 ounces of beer is considered as one drink so the total drinks this beverage contains is two drinks.</span>
choli [55]3 years ago
5 0

Answer:

\frac{27}{2} ounces or two type of drinks

Step-by-step explanation:

Quantity of 80-proof vodka in the drink = 1\frac{1}{2} ounces

Quantity of beer in the drink = 12 ounces

So, total quantity of drink = Quantity of 80-proof vodka in the drink + Quantity of beer in the drink = 1\frac{1}{2} ounces + 12 ounces

To add: 1\frac{1}{2},12

Here, 1\frac{1}{2} is a mixed fraction. ( 1 is a whole number and \frac{1}{2}  is a proper fraction as the numerator is greater than the denominator )

We can write 1\frac{1}{2} in improper fraction as 1\frac{1}{2}=1+\frac{1}{2}=\frac{2+1}{2}=\frac{3}{2}

1\frac{1}{2}+12=\frac{3}{2}+12=\frac{3+24}{2}=\frac{27}{2}

Also, we can say that the beverage contains two type of drinks.

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Solve the following system of equations using a method of your choice.
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8 0
3 years ago
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+
tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

h(t) = -16t^{2} + 72t + 100

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

h(t) = -16t^{2} + 72t + 100

-16t^{2} + 72t + 100 = 0

Multiplying by (-1)

16t^{2} - 72t - 100 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

16t^{2} - 72t - 100 = 0

So

a = 16, b = -72, c = -100

\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584

t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61

t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0
3 years ago
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