Amit solved the equation StartFraction 5 over 12 EndFraction = Negative StartFraction x over 420 EndFraction for x using the steps shown below. What was Amit’s error? StartFraction 5 over 12 EndFraction = Negative StartFraction x over 420 EndFraction. StartFraction 5 over 12 EndFraction (420) = Negative StartFraction x over 420 EndFraction (420). X = 175. Amit should have multiplied both sides of the equation by StartFraction 5 over 12 EndFraction. Amit should have multiplied both sides of the equation by StartFraction 12 over 5 EndFraction. The product of StartFraction 5 over 12 EndFraction and 420 is not equal to 175. The product of StartFraction 5 over 12 EndFraction and –420 should have been the value of x.

Lyme disease is caused by a bacterium transmitted to people by deer ticks. deer ticks are almost never born infected with the bacterium, but they can pick it up from feeding on an infected host in any of the tick's three successive stage of development: larva, nymph, adult. once infected, a tick remains infected through any subsequent developmental stages, but since a tick feeds on only one host in each stage, it follows that . people can be infected only by being bitten by a tick that is either in larval stage or in the nymph stage b. people cannot be infected by a tick that picked up the lyme disease bacterium in the adult stage c. it is not possible for a person to be infected by a tick that is in the nymph stage or by a tick that was infected with the bacterium while in the nymph stage d. people infected with the lyme disease bacterium cannot transmit bacterium to adult deer ticks e. only deer ticks that are adults can transmit the lyme disease bacterium to people