Tim 2/3 of 1 3/4 cups of flower with sugar and butter what fraction of the flower did he use

Mathematics

1 answer:

ivann1987 [24]4 years ago

8 0

2/3 of 1¾ is simply their product, let's firstly convert the mixed fraction to improper fraction.

$\bf \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\\\ \cfrac{2}{3}\cdot \cfrac{7}{4}\implies \cfrac{2}{4}\cdot \cfrac{7}{3}\implies \cfrac{1}{2}\cdot \cfrac{7}{3}\implies \cfrac{7}{6}\implies 1\frac{1}{6}$

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(x^2 - x^(1/2))/(1-x^(1/2))

Levart [38]

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$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot \frac { \left( 1+\sqrt { x } \right) }{ \left( 1+\sqrt { x } \right) }$

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$\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { \left( 1-x \right) \left\{ -\sqrt { x } \left( 1+x \right) -x \right\} }{ \left( 1-x \right) }$

$\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }\left( 1+{ x }^{ \frac { 2 }{ 2 } } \right) -x$

$\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }-{ x }^{ \frac { 3 }{ 2 } }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x$

3 0

3 years ago

Read 2 more answers

6. When x = 2, 3x – 1= -

AlekseyPX

Answer:

Step-by-step explanation:

3x - 1 = 3(2) - 1

= 6 - 1

= 5

6 0

3 years ago