given the circumference of a circle is 29.5 in find the radius to the nearest tenth use 3.14 for the value of pie
1 answer:
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Answer:
Speed of the current is 3 miles per hour.
Step-by-step explanation:
Raft and a motor boat starts traveling downstream at the same time from point B towards point A downstream.
Let the speed of the motorboat = v miles per hour
and speed of the current = u miles per hour
Motorboat travels downstream with the speed = (v + u) miles per hour
Distance traveled by motorboat in 1 hour (Distance AC) = (v + u)×1 miles
Now motorboat turns around and reaches point B where it meats the raft against the river stream.
Speed of motorboat against the current = (v - u) miles per hour
Let it takes to reach at point B = t hours
Distance covered AB = (v - u)t miles
From the figure attached,
Distance BC = AC - AB
6 = (v + u) - (v - u)t ------(1)
Now raft covered the distance 6 miles in (1 + t) hours with the speed = u miles per hour.
Equation will be u(t + 1) = 6 --------(2)
Now by equating both the equations
(v + u) - (v - u)t = u(t + 1)
v + u - vt + ut = ut + u
v - vt = 0
vt = v
t = 1 hours
From equation (2)
u(1 + 1) = 6
2u = 6
u = 3 miles per hour.
Therefore, speed of the current will be 3 miles per hour.
Answer:
12 students.
Step-by-step explanation:
The complete question would be:
If ice cream is the last dessert, then we can solve for how many percent of the students like ice cream. If we add the 4 desserts percent, it should be equal to 100%
Pie : 15%
Candy : 23%
Cake : 27%
Pie% + Candy% + cake% + ice cream% = 100%
15% + 23% + 27% + Ice cream% = 100%
65% + Ice cream% = 100%
Ice cream% = 100% - 65%
Ice cream % = 35%
Percent is a way of saying how many out of a 100. Before we can tell how many students like pie, we need to figure out how many students were surveyed.
It says here that 35% of them like ice cream and among the students, 28 students like ice cream. This means that 28 is 35% of a number, which will be the number of students surveyed.
So as a fraction:
We need to find a ratio that is proportional to that, with 28 as the part of the whole.
So that is the number of students survey. Now to look for how may people like pie, we find what is 15% of 80. So we find the part of the whole this time: