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Vladimir [108]
3 years ago
12

Lucy is a dress maker. She sews \dfrac47

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Answer:

\frac{16}{21} dresses

Step-by-step explanation:

We are given that

Lucy sews dress in 3/4 hours=\frac{4}{7} of dress

Lucy sews at constant rate.

We have to find the number of dresses sewed by Lucy in hour.

To find number of dress sewed by Lucy in 1 hour we will use unitary method.

By using unitary method

Lucy sews in 3/4 hours=\frac{4}{7} dress

Lucy sews in 1 hour=\frac{\frac{4}{7}}{\frac{3}{4}}

Lucy sews in 1 hour=\frac{4}{7}\times \frac{4}{3}

Lucy sews in 1 hour=\frac{16}{21} dresses

Hence, Lucy sews \frac{16}{21} dresses in 1 hour.

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Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

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x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

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Step-by-step explanation:

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