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
Answer:
(x - 12)(x² - 2)
Step-by-step explanation:
Given
x³ - 12x² - 2x + 24 ( factor the first/second and third/fourth terms )
= x²(x - 12) - 2(x - 12) ← factor out (x - 12) from each term
= (x - 12)(x² - 2)
34.
4 cups = 1 quart
4 quarts = 1 gallon
- 8 cups x 7 days = 56 cups
56 cups = 3.5 gallons
33.
16 ounces = 1 lb
Colleen started off with 70 ounces after she takes some off she has 56 so,
70 - 56 = 14(ounces she took off)
Answer:
Thank you very much
Step-by-step explanation:
Lol XD
Answer:
b
Step-by-step explanation:
just out b i dont have time to explain
