9514 1404 393
Answer:
128 miles
Step-by-step explanation:
The convict has a head start of ...
distance = speed × time
distance = (8 mi/h) × (14 h) = 112 mi
That distance is being closed at a rate that is the difference between the speeds, so ...
64 mi/h -8 mi/h = 56 mi/h
The time it takes the guards to catch the convict will be ...
time = distance/speed
time = (112 mi)/(56 mi/h) = 2 h
The guards and prisoner will be at a distance from the prison of ...
distance = speed × time
distance = (64 mi/h)(2 h) = 128 mi
The convict will be caught 128 miles from the prison.
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<em>Check</em>
The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.
The equation would be 3(x + 5)
Answer:
10 sides.
Step-by-step explanation:
Two same interior angles + 72 degrees = 360.
Thus, the interior angle of the polygon is 
.
The formula to find the interior angle of a polygon is 
Multiply both sides by n:
Expand:
Add 360 to both sides:
Subtract 144n from both sides:
Divide both sides by 36:
Answer:
None of the above, it should be $4760
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 12%/100 = 0.12 per year,
then, solving our equation
I = 3500 × 0.12 × 3 = 1260
I = $ 1,260.00
The simple interest accumulated
on a principal of $ 3,500.00
at a rate of 12% per year
for 3 years is $ 1,260.00
Answer:
1/12
Step-by-step explanation:
1/3 x1/4=1/12
