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lyudmila [28]
3 years ago
13

to dilute a concentrated liquid fabric softener, the directions state to mix 3 cups of water with 1 cup of concentrated liquid.

how many gallons of water will you need to make 6 gallons of diluted fabric softener?
Mathematics
1 answer:
lozanna [386]3 years ago
4 0
1 gallon=16 cups 
6 gallons = 96 cups 

Notice the ratio between water to concentrated liquid= 3:1 

x:96 
x=288 cups of water required 

288/16=18 gallons 

Hope I helped :) 
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Complete the table of values
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Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify! 

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, 3^{-2} =
\frac{1}{3^{2} }.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, (\frac{3}{4}) ^{3}  =  \frac{ 3^{3} }{4^{3} }.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example, 3^{0} = 1.
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The x-values are in the left column. The title of the right column tells you that the function is y =  4^{-x}. The x-values are:
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Problem 2
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<span>1) x = 0
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2) x = 2
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3) x = 4
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<span>
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Answers: 
a = 1
b = </span>\frac{1}{16}<span>
c = </span>\frac{1}{256}
d = 1
e = \frac{4}{9}
f = \frac{16}{81}
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