Half is a third of it.what is it?

1 answer:

3 0

Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2

Now we just have a simple equation to solve:

1/3x = 1/2
x = (1/2) / (1/3)

Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore

x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5

To check this answer, test the statement. Half is a third of x, where x=1.5:

1.5 / 3 = 0.5 = 1/2

You might be interested in

A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 8% will need repairs

Sladkaya [172]

Answer:

Probability that a car need to be repaired once = 20% = 0.20

Probability that a car need to be repaired twice = 8% = 0.08

Probability that a car need to be repaired three or more = 2% = 0.02

a) If you own two cars what is the probability that neither will need repair?

Probability that a car need to be repaired once , twice and thrice or more= 0.20+0.08+0.02=0.3

Probability that car need no repair = 1-0.3=0.7

Neither car will need repair= $0.7 \times 0.7=0.49$