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fomenos
4 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]4 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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We conclude that:

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f\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)

g(x)=x+3

Determining f(x) · g(x)

f\left(x\right)\cdot g\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)\times \left(x+3\right)

Distribute parentheses

                 =x^2x+x^2\times \:3+10xx+10x\times \:3+21x+21\times \:3

                 =x^2x+3x^2+10xx+10\times \:3x+21x+21\times \:3

                 =x^3+3x^2+10x^2+30x+21x+63

Add similar elements: 3x^2+10x^2=13x^2

                 =x^3+13x^2+30x+21x+63

Add similar elements: 30x+21x=51x

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Therefore, we conclude that:

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