Answer: 600 beans
Step-by-step explanation:
Since the beans are in a ratio 1:1, you can write it like this: x/x. Since we know x=300, we can do this: x/x=300/?. We know x is again 300(given) so, x/x=300/300. Total is adding the 2 beans up which is 300+300=600
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
24.96 yd. Just have to multiply length times width.

Given that
and
, it follows that


###

When
, we have

The slope of the line tangent to
at (0, 3) has slope
,

Then the tangent line at this point has equation

###
Differentiating both sides of

with respect to
yields



On this curve, when
we have

(ignoring the negative solution because we don't care about it)
The tangent to this curve at the point
has slope
. This tangent line is horizontal when its slope is 0. This happens for

and when
, there is a horizontal tangent line to the curve at the point (2, 8).