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Mathematics : asked on lanashanabJHsbd1099
 31.01.2023

If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.

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09.07.2023, solved by verified expert
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Sachin Kumar
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q = 4

Step-by-step explanation:

given p and q vary inversely then the equation relating them is

p = If p and q vary inversely and p is 29 when q, №18010408, 31.01.2023 19:08 ← k is the constant of variation

to find k use the condition p = 29 when q = 16 , then

29 = If p and q vary inversely and p is 29 when q, №18010408, 31.01.2023 19:08 ( multiply both sides by 16 )

464 = k

p = If p and q vary inversely and p is 29 when q, №18010408, 31.01.2023 19:08 ← equation of variation

when p = 116 , then

116 = If p and q vary inversely and p is 29 when q, №18010408, 31.01.2023 19:08 ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4

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Mathematics
If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.
Step-by-step answer
P Answered by Master

q = 4

Step-by-step explanation:

given p and q vary inversely then the equation relating them is

p = \frac{k}{q} ← k is the constant of variation

to find k use the condition p = 29 when q = 16 , then

29 = \frac{k}{16} ( multiply both sides by 16 )

464 = k

p = \frac{464}{q} ← equation of variation

when p = 116 , then

116 = \frac{464}{q} ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4

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