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3 years ago

Choose the ratio that you would use to convert 5.5 pounds to ounces

Mathematics

2 answers:

sdas [7]3 years ago

7 0

We want "pounds" to disappear, in favor of "ounces."

Thus, multiply 5.5 pounds by (16 oz / 1 pound). "pounds" cancels, leaving you with "88 oz."

Ymorist [56]3 years ago

3 0

Answer:

A. 16 ounces/1 pound

Step-by-step explanation:

Remember that: 1 pound (lb) is equal to 16 Ounces (oz).

Then you have to find a ratio to convert 5.5 pounds to ounces.

If you write: 5.5 pounds, you have to find a ratio that eliminates pounds in order to get ounces:

5.5 pounds*16 ounces/1 pound

In this way pounds in the numerator is eliminated with pounds from the denominator and the result you get is in units of ounces.

5.5 pounds*16 ounces/1 pound=88 ounces

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

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$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
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f(~~g(2)~~)=\cfrac{127}{9}$

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