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a_sh-v [17]
3 years ago
5

NEED HELP WITH THE CORRECT ANSWER AND EXPLANATION!! :p

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer: \frac{1}{8}\ lb

Step-by-step explanation:

According to the information given in the exercise, you know that the total amount of butter (in pounds) that were divided evenly, is:

total=\frac{3}{4}\ lb

The exercise explains that they filled six dishes with that division. Therefore, in order to calculate the value of the variable "x", you need to divide \frac{3}{4}\ lb by 6.

But first it is important to remember the Division of fractions:

\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\div\frac{d}{c}=\frac{ad}{bc}

Therefore, applying that rule, you get:

\frac{3}{4}\ lb\div6=(\frac{3}{4}\ lb)(\frac{1}{6})=\frac{3}{24}\ lb

Finally, reducing the fraction you get the following result expressed as a fraction:

=\frac{1}{8}\ lb

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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

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\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

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