Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
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His hourly rate is $13.75.
Let x be the hourly rate. Since he works 20 hours that week, the hourly wages are given by 20x. We add to that his commission, which is 16% of the $1500 in sales, or 0.16(1500). This totals to 515:
20x + 0.16(1500) = 515
20x + 240 = 515
Subtract 240 from both sides:
20x + 240 - 240 = 515 - 240
20x = 275
Divide both sides by 20:
20x/20 = 275/20
x = 13.75.
Answer:
=6π ft
Step-by-step explanation:
The circumference of a circle is calculated using the formula C=2πr where r is the radius and C the circumference of the circle.
In the circle provided r= 3ft
C= 2π × (3ft)
=6π ft
We do not use the approximate value of pi as the question demands us to leave pi unsolved.
