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fomenos
3 years ago
5

You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac

h ingredient should you use to make 4 gallons of fruit punch?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0
All you do is 1x+2x+5x=8x then you turn 4 s into pints. 1 gallon equals 4 pints 4*4=16 pints. 8x=16 x=2. Then you multiply everything by 2

1*2=2 
2*2=4
2*5=10

2pints of soda water
4 pints of fruit punch
10 pints of ginger ale
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Please help!! 20 POINTS
rjkz [21]

f(-3) would be 36.

When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.

2x^2 - 5x + 3

Now we can put -3 into the equation and solve.

2(-3)^2 - 5(-3) + 3

2(9) + 15 + 3

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7 0
3 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

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

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
2 years ago
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vampirchik [111]
Brenda can get 24 cuttings total for $1000
5 0
3 years ago
A coin favors heads when tossed and there are 15 heads in 18 tosses
Alexxandr [17]
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7 0
3 years ago
In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0. (In American roulette there are 38
earnstyle [38]

Answer:

The expectation is -$0.189.

Step-by-step explanation:

Consider the provided information.

In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0.

One-half of the numbers 1 through 36 are red, the other half are black, and the number 0 is green.

We need to find the expected value of the winnings on a $7 bet placed on black in European roulette.

Here the half of 36 is 18.

That means 18 compartments are red and 18 are black.

The probability of getting black in European roulette is 18/37

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The favorable outcomes are 18/37 and unfavorable are 19/37.

Let S be possible numerical outcomes of an experiment and P(S) be the probability.

The expectation can be calculated as:

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P(S_1) = \frac{18}{37}

For S_2 = -7(negative sign represents the loss)

P(S_2) = \frac{19}{37}

Now, use the above formula.

E(x) = 7\times \frac{18}{37}-7\times \frac{19}{37}\\E(x) = -0.189

Hence, the expectation is -$0.189.

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3 years ago
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