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3 years ago

2. US$ 1.7135

Mathematics

1 answer:

Brrunno [24]3 years ago

4 0

Answer:

1577.8 US dollars are received for 1127 UK pounds.

5669.5 UK pounds are received for US$7937.3.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

How many US dollars are received for 1127 UK pounds?

1 UK pound = 1.4 US dollars

1127 UK pounds - x US dollars

Applying cross multiplication:

$x = 1127*1.4 = 1577.8$

1577.8 US dollars are received for 1127 UK pounds.

How many UK pounds are received for US$7937.3?

1 UK pound = 1.4 US dollars

x UK pounds - 7937.3 US dollars

$1.4x = 7937.3$

$x = \frac{7937.3}{1.4}$

$x = 5669.5
$

5669.5 UK pounds are received for US$7937.3.

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3 years ago

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3 years ago

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lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

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Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

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Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$

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2 years ago