Answer:
<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>
Step-by-step explanation:
To solve this problem we have to find the slope of each case. The definition of a slope is:
Where 
is the first point, and 
is the second point.
Let's find each slope.
<h3>Sam.</h3>
Let's use the points 
and 
Applying the definition of the slope, we have:
This relation means that Sam cycled 10 miles per hour.
<h3>Bobby.</h3>
Let's use the points 
and 
Bobby cycled 9 miles per hour.
Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.
Answer:
$2800
Step-by-step explanation:
5% = 0.05 --> 0.05 * 56000.00 = 2800
Answer: The length of STV is about 76.83 in.
Step-by-step explanation:
The length of an arc is given by :-
, where r= radius of the cirle, 
is the central angke made by arc.
As per given , Radius of the circle : r= 20 in
Central angle of arc SCV = 
Then, Central angle of arc SCV = 
Then, the length of the arc STV =
Hence, the length of STV is about 76.83 in.
Answer:
Each hiker receives 7 ounces of trail mix
Step-by-step explanation:
Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips
where;
Quantity of peanuts=1.25 pounds
Quantity of raisins=14 oz, since 1 pound=16 oz.
Quantity of raisins=(14/16)=0.875 pounds
Quantity of walnuts=12 oz=(12/16)=0.75 pounds
Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds
Replacing;
Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds
Trail mix=Quantity per hiker×Number of hikers
where;
Trail mix=3.5 pounds
Quantity per hiker=q
Number of hikers=8
Replacing;
3.5=q×8
q=3.5/8=0.4375 pounds
I pound=16 ounces
q=0.4375×16=7 ounces
Each hiker receives 7 ounces of trail mix
