Okay so, togo flies 30 miles in 3/5 of an hour with the wind.togo flies 30 miles in 5/6 of an hour against the wind. his rate of speed with the wind was 30 / (3/5) = 30*5/3 = 150/3 = 50 mph.his rate of speed against the wind was 30 / (5/6) = 30*6/5 = 6*6 = 36 mph.3/5 of an hour times 50 mph = 30 miles.
5/6 of an hour times 36 mph = 30 miles.mph looks good.
going he was with the wind.
his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
combining like terms, the equation becomes2*W = 14.dividing both sides by 2, equation becomesW = 7.if W = 7, then A can be found as follows:50 = A + 7A = 43.likewise,36 = A - 7A = 43.since the airplane speed is the same, it looks like the answer is good.solving in the original equations, we get3/5 * (43 + 7) = 303/5 * 50- = 3030 = 30good.-----5/6 * (43 - 7) = 305/6 * 36 = 3030 = 30good.
answer is W = 7 and A = 43.
Answer:
x+y=-2
7x-4y=8
Step-by-step explanation:
<span>8(-9-5x)
</span>=8(-9) - 8(5x)
= -72 - 40x
= - 40x - 72
expand by using distributive property
hope it helps
Answer:
4:9
Step-by-step explanation:
Area is squaring and Volume is cubing
So it'd be 2^2:3^3, or 4:9
I hope this helped and have a good rest of your day!
Answer:
<h3>The change in the scale factor is
ft</h3>
Step-by-step explanation:
Given that Sienna planned a trapezoid-shaped garden.
And She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft.
Let Old length of the top be 32 ft
Let New length of the top be 24 ft
ft
<h3>∴ the change in the scale factor is
ft</h3>