Answer:
The motorist's average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
Step-by-step explanation:
Let the motorist's average rate in the afternoon = <em>x</em> mph.
It is given that his average rate in the morning was twice his average rate in the afternoon.
Therefore, his average rate in the morning = 2<em>x</em> mph.
Let <em>t</em> be the time taken for the morning trip.
It is given that he spent 5 hours for driving.
So, the time taken by him for the afternoon trip = 5 - <em>t</em>.
Now, using the formumla,
,
the verbal model for the morning trip is:

<em>xt</em> = 75
The verbal model for the afternoon trip is:

5<em>x</em> - <em>xt</em> = 50
Substituting <em>xt</em> = 75, we get,
5<em>x</em> - 75 = 50
5<em>x</em> = 125
<em>x</em> = 25
2<em>x</em> = 50
Hence, his average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
Answer:
90
Step-by-step explanation:
The formula for a triangle is base times height then dividing it by 2
So 15 times 12 is 180 and dividing it by 2 gets you 90.
Hope this helps!
Answer:
140
Step-by-step explanation:
Area= 140 square units
f(x)= 3^(x+4)
f(2)= 3^(2+4)
do the bracket first
(2+4)= 6
3^6 - 3*3*3*3*3*3 - because of the exponent
3*3*3= 27
3*3*3= 27
27*27
Answer:729