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3 years ago

Sam and Bethan share £54 in the ratio 5:4 Work out how much each person gets.

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer:

Sam: $30; Bethan: $24

Step-by-step explanation:

Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.

$\frac{x}{54} =\frac{5}{9}$

Cross Multiply

54(5)=9x

270=9x

Divide by 9

30=x

So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54

54-30=24

So Bethan pays $24

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sergij07 [2.7K]

Answer:

$D = 63.717$

Step-by-step explanation:

The details that complete the question are:

$(x_1,y_1) = (0,42.78)$

and

$(x_2,y_1)=(90,42.78)$

Required

Determine how far the ball travelled

Distance is calculated using:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values for x's and y's

$D = \sqrt{(42.78 - 0)^2+(42.78-90)^2}$

$D = \sqrt{42.78^2+(-47.22)^2$

$D = \sqrt{1830.1284+2229.7284$

$D = \sqrt{4059.8568$

$D = 63.717$

<em>Hence, the ball travelled a distance of 63.717 units</em>

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Answer:

Step-by-step explanation:

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For each next digit you can't choose the same digit, so you have 9 options.

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