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vivado [14]
3 years ago
14

Isolate c in the equation a=b(1/c-1/d)

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0
A=b/c -b/d
a+b/d=b/c
(da+b)/d=b/c
db=(da+b)c
c=db/da+b
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Step-by-step explanation:

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3 years ago
A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = \frac{2.4}{3} = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

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Step-by-step explanation:

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