Since Antonio spent a sum total of \(\displaystyle 36\) dollars to purchase \(\displaystyle 3\) used video games, the average cost per game can be found by dividing the total cost by a divisor of \(\displaystyle 3:\)

\(\displaystyle 36\div3=12\)

To evaluate this problem use the long division standard algorithm:

To evaluate this problem, first find the reciprocal of \(\displaystyle \frac{5}{9}\). To do so, you can simply switch the numerator and the denominator:

The reciprocal of \(\displaystyle \frac{5}{9}=\frac{9}{5}\).

This will allow you to switch the operation symbol from division to multiplication:

\(\displaystyle \frac{6}{7}\times \frac{9}{5}=\frac{54}{35}\) 

However, \(\displaystyle \frac{54}{35}\) doesn't appear as an answer choice. Thus, it's necessary to use the standard algorithm: 

To evaluate this problem use the long division standard algorithm:

To evaluate this problem use the long division standard algorithm:

To find the correct solution to this question we must identify what the question is asking.

Which expression gives the best estimate of the total amount of cookies each person would get?

The word "estimate" means we want to find a approximate value and not the true value. Lets look at the numberator and denominator and round each one.

For the numerator, since \(\displaystyle 8>5\) we want to round up. Therefore \(\displaystyle 318\rightarrow 320\).

For the denominator, since \(\displaystyle 2< 5\) we want to round down. Therefore \(\displaystyle 12\rightarrow 10\).

Using compatible numbers\(\displaystyle \frac{320}{10}\) would be the correct estimate.

First you see how many times \(\displaystyle 3\) goes into \(\displaystyle 8\).  

It goes in \(\displaystyle 2\) times

\(\displaystyle (2*3=6)\) 

with a remainder of \(\displaystyle 2\) 

\(\displaystyle (8-6=2)\).  

You then bring down the \(\displaystyle 1\) to get \(\displaystyle 21\).  

\(\displaystyle 3\) goes into \(\displaystyle 21\) \(\displaystyle 7\) times evenly.  

So you put the \(\displaystyle 2\) and \(\displaystyle 7\) together to get your answer of \(\displaystyle 27\).

To find the difference, you must subtract. But first you must add the two amounts he spent at the mall:

\(\displaystyle $43.91 + $71.84 = $115.75\)

Now subtract. Line up the numbers vertically. Remember to use the rules of borrowing to subtract.

\(\displaystyle $538.23-$115.75=$422.48\)

Henry now has $422.48 in his bank account.

\(\displaystyle -50+32+(-11)\)

\(\displaystyle -50+32\) is the same as \(\displaystyle 32-50=-18\).

\(\displaystyle -18+(-11)=-18-11=-29\)

To find the weight of box C, subtract the weight of the other three boxes from the total weight. 

Box C = Total - Box A - Box B - Box D

Box C = 25 lbs - 4 lbs - 10 lbs - 6 lbs

Box C = 5 lbs