The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. when 10 ohms of resistance are used in the circuit, 12 amperes of current are present. when 5 ohms of resistance are used in the same circuit, 24 amperes of current are present. how many ohms of resistance are used in the circuit when 15 amperes of current are present? round your answer to the nearest hundredth, if necessary.

8 ohms

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = ← k is the constant of variation

To find k use either of the given conditions

y = 10 when x = 12 or y = 5 when x = 24, hence

k = 10 × 12 = 120

y = ← equation of variation

when x = 15, then

y = = 8

c

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2