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3 years ago

Pip and Sara win some money and share it in the ratio 5:2. Pip gets £40. How much did Sara get?

Mathematics

2 answers:

schepotkina [342]3 years ago

4 0

Answer:

£16

Step-by-step explanation:

Alina [70]3 years ago

3 0

Answer: Sara gets £16

Step-by-step explanation:

We know the ratio is 5:2 and we know Pip gets £40 so divide 40/5= 8

every 8 is equal to one portion of the fraction so 8x2= 16

To check 40:16 divide by 8 .... 40/8=5 ....... 16/8=2 The ratio being 5:2

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Xpand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is .

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Step-by-step explanation:

The binomial is $\left( 4x+3y\right)^3$

The expansion of $\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots$

Expansion of $\left( 4x+3y\right)^3$

$\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3$

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