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Mnenie [13.5K]
3 years ago
13

Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From

the store back home was another 2/5 of a mile. How far did the girls walk in all?
Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer: The girls walked 1\dfrac38 miles.

Step-by-step explanation:

Given:  Distance from home to school = \dfrac{6}{10} mile

Distance from school to store = \dfrac38 mile

Distance from store to home = \dfrac25 miles

Total distance = \dfrac6{10}+\dfrac38+\dfrac25

= \dfrac{6\times4+3\times5+2\times8}{40}   [L.C.M.(10,8,5)=40]

= \dfrac{24+15+16}{40}

= \dfrac{55}{40}

= \dfrac{11}{8}=1\dfrac38  miles

Hence, The girls walked 1\dfrac38 miles.

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Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

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The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

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