Question

If u and w are inversely proportional and u=11 when w=5. Find u when w= 110

answer must be 1/2..
step by step answer needed​

Answer 1

Step-by-step explanation:

When x is inversely proportional to y it can be written as x is directly proportional to 1/y

I.e. X ∝ 1/y

Mathematically it can be expressed as

X=k/y

Where k is some constant value

Substitute the given values of x and y in the above equation

9=k/15

=>k =9*15

=>k=135

In second statement it is given as y=30 and we need to find the value of x

Substitute the same in above equtaion

X*y=k

X*30=135

X=135/30

=> x=4.5

Answer 2

$\huge \cal \color{red}★A᭄ɴsᴡΣʀ࿐$

$ᴡʜᴇɴ \: w = 110, u = \frac{1}{2}$

☘Sᴛᴇᴘ ʙʏ sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ :

u and w are inversely proportional

=> u α 1/w

=> uw = k (where k is some constant) .....(i)

◆ɢɪᴠᴇɴ :

when w = 5, u = 11

=> uw = 55

=> k = 55 .......from (i)

◆ᴛᴏ ғɪɴᴅ :

u when w = 110

uw = 55

When w = 110,

u*110 = 55

=> u = 55/110

=> u = 1/2

★Aɴsᴡᴇʀ : When w = 110, u = 1/2

☘ʀᴇᴍᴇᴍʙᴇʀ :

When a is ᴅɪʀᴇᴄᴛʟʏ proportional to b, a = kb

When a is ɪɴᴠᴇʀsʟʏ proportion to b, ab = k

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