For every yard, there are 3 feet.

$\displaystyle 1 \textup{ yard} = 3 \textup{ ft}$

For every feet, there are 12 inches.

$\displaystyle 1\textup{ ft} = 12 \textup{ inches}$

Write the dimensional analysis.

$\displaystyle 2.5 \textup{ yds} (\frac{3 \textup{ ft}}{1\textup{ yard}})(\frac{12 \textup{ inches}}{1\textup{ ft}})$

Multiply the numbers.  The unit which remains is in inches.

The answer is:  $\displaystyle 90 \textup{ inches}$

One yard is equivalent to 3 feet.

One foot is equivalent to 12 inches.

Set up the dimensional analysis.

$\displaystyle 6 \textup{ in}(\frac{1 \textup{ ft}}{12 \textup{ in}})(\frac{1 \textup{ yd}}{3 \textup{ ft}}) = \frac{6}{36} = \frac{1}{6} \textup{ yd}$

The answer is:  $\displaystyle \frac{1}{6}$

One foot is equivalent to 12 inches, so multiply the number of feet by 12 inches per foot in order to convert:

$\displaystyle 6\frac{1}{2} \textrm{ ft } \times 12 \textrm{ in / ft}$

Rewrite the numbers as improper fractions:

$\displaystyle = \frac{6 \times 2+ 1}{2} \times \frac{12 }{1 }\textrm{ in }$

$\displaystyle =\frac{12+ 1}{2} \times \frac{12 }{1 }\textrm{ in }$

$\displaystyle =\frac{13}{2} \times \frac{12 }{1 }\textrm{ in }$

Cross-cancel, then multiply across:

$\displaystyle =\frac{13}{1} \times \frac{6}{1 }\textrm{ in }$

$\displaystyle =78\textrm{ in}$

There are 12 inches in a foot.  Set up the dimensional analysis to solve.

$\displaystyle 6 \textup{ ft} (\frac{12 \textup{ in}}{1\textup{ ft}}) = 72 \textup{ in}$

The answer is:  $\displaystyle 72 \textup{ in}$

One yard is equal to 3 feet.

One foot is equal to 12 inches.

Set up the dimensional analysis.

$\displaystyle 10 \textup{ in} (\frac{1 \textup{ ft}}{12 \textup{ in} })(\frac{1 \textup{ yd}}{3 \textup{ ft}}) = \frac{10}{36} \textup{ yd}$

Reduce the fraction.

The answer is:  $\displaystyle \frac{5}{18}$

There are 3 feet in a yard, and 12 inches to a foot.

Write the dimensional analysis.

$\displaystyle 10 \textup{ yds} (\frac{3 \textup{ ft}}{1 \textup{ yds}}) (\frac{12 \textup{ in}}{1 \textup{ ft}})$

The answer is:  $\displaystyle 360$

Start by converting the $\displaystyle 14$ yards into inches. Recall that there are $\displaystyle 3$ feet in a yard, and $\displaystyle 12$ inches in a foot.

$\displaystyle 14\text{ yards }(3)=42 \text{ feet}(12)=504 \text{ inches}$

Next, convert $\displaystyle 6$ feet into inches.

$\displaystyle 6(12)=72\text{ inches}$

Now add up all the inches.

$\displaystyle 504+72+2=578$

Start by converting the $\displaystyle 2$ hours into seconds. Recall that there are $\displaystyle 60$ minutes in an hour and $\displaystyle 60$ seconds in a minute. 

$\displaystyle 2(60)(60)=7200$

Thus, there are $\displaystyle 7200$ seconds in $\displaystyle 2$ hours.

Next, convert the $\displaystyle 14$ minutes into seconds.

$\displaystyle 14(60)=840$

There are $\displaystyle 840$ seconds in $\displaystyle 14$ minutes.

Now, add together all of the seconds.

$\displaystyle 7200+840+5=8045$

You have 34oz of ground beef which you plan on making into hambrugers to grill with your friends. One of your friends is from Europe, and she is used to the metric system. She claims that burgers made with a $\displaystyle \large \frac{1}{4}kg$ of beef are the best. If you decide to make burgers of this size, how many can you make? Round to the nearest whole burger.

Note: 

$\displaystyle \large 16 oz= 1lb$ 

$\displaystyle \large 1kg\approx2.2lbs$

Let's begin by running through what we need to do. 

1) Convert 34 oz to pounds

2) Convert the answer to 2) to kilograms

3) Divide the answer to 3) by $\displaystyle \large \frac{1}{4}kg$

Okay, to find the number of pounds we have, do the following:

1) $\displaystyle \large 34oz*\frac{1lb}{16oz}=2.125lb$

So, we have 2.125lbs of ground beef

2)  Let's find what 2.125lbs is in kg

$\displaystyle \large 2.125lbs*\frac{1kg}{2.2lb}\approx0.966kg$

So, we have 0.966kg of beef.

3) Finally, let's see how many burgers we can make.

$\displaystyle \large 0.966kg*\frac{1 burger}{0.25kg}=3.863burgers$

Now, we need to round to the nearest burger, so we can make about 4 burgers.

One foot is equal to 12 inches, so divide 256 inches by the conversion factor 12 inches/foot to obtain the equivalent in feet:

$\displaystyle 256 \textup{ in } \div 12 \textup{ in/ft } = 21 \textup{ ft } \textup{ R }4 \textup{ in}$.

The next highest even number of feet is 22 feet, the correct choice.