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rosijanka [135]
3 years ago
8

"The Martin family's truck gets an average of 25 miles per gallon of fuel. Predict how many miles they will be able to get from

7 gallons of fuel by using equivalent rates." (Explain with fractions/ equivalent rate in detail pls)
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

Answer:

175 miles

Step-by-step explanation:

Average of 25 miles per gallon of fuel

Miles : gallons = 25 : 1

Predict how many miles they will be able to get from 7 gallons of fuel by using equivalent rates

Let x = number miles

Miles : gallons = x : 7

To find x

25 : 1 = x : 7

25/1 = x/7

Cross product

25*7 = 1*x

175 = x

x = 175 miles

Number miles = 175

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Answer:

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Step-by-step explanation:

For #2, remember that i=\sqrt{-1}, so i^{2}=-1 Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)=a^2-b^2. Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number a+bi, where a and b are any numbers, the conjugate is always a-bi. Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:

\frac{5+6i}{4+6i}=\frac{(5+6i)(4-6i)}{(4+6i)(4-6i)}=\frac{20+24i-30i+36}{16+36}=\frac{56-6i}{52}=\frac{2(28-3i)}{2(26)}=\frac{28-3i}{26}

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