Begin by subtracting 1/8 from both sides to get
and get a common denominator of 8 on the right:
. Now simplify and cross-multiply: 39x = -16 andx = -16/39
First two are the explanation and the last one is the answer :)
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
I guess it's 42
Hope it's helpful for you
Answer:
Set in Interval Notation is: [ 3, ∞)
Step-by-step explanation:
Here, the given expression is:
R = {x| 3 less than or equal to x}
Here, the given set is given in the ROSTER FORM of set.
Now, converting the statement in mathematical form, we get:
R = { x : 3 ≤ x}
So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.
Writing the st in SET BUILDER FORM, we get:
R = { 3, 4, 5, 6, ....... }
So, R in Interval Notation is: [ 3, ∞)
