To determine the size of the country's moose population, naturalists catch 71 moose, tag them and then set them free. Months later 47 moose are caught of which 21 have tags. The estimated size of the moose population is

The estimated size of the moose population is .

Step-by-step explanation:

In order to calculate an estimated size of the moose population we can write the following proportion :

On the left fraction we have the quotient between the amount of moose that the naturalists caught first and the estimated size ''x'' and on the right fraction we have the quotient between the amount of moose tags in the second capture and the total amount of moose caught in the second capture.

If we work with the expression :

⇒

≅

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98