Answer:
26 2/3 minutes: The two boys meet after 26 2/3 minutes
Step-by-step explanation:
Distance covered by Jim = Distance covered by Bob
(5 mph)(t) = (8 mph)(t - 10)
Simplify this by performing the indicated multiplication:
(5 mph)(t) = (8 mph)(t) - 80 mi
or:
80 mi = (3 mph)(t), or
80 mi
t = ----------- = 26 2/3 minutes
3 mph
Answer:
Step-by-step explanation:
A. False. The probability of drawing a green marble twice is even smaller (It may be true though depending on what the question is asking, if it is asking the chance of drawing a green marble second is the same as the 1st chance, then yes it is True.
B.False
C. False
D.True, 1/3*1/3 (Simplified version of 6/18*6/18) is 1/9
E. False (Although this may be true, again depending on the type of question)
F. False
Suppose,
x = distance of the man
<span>s = length of the shadow</span>
<span>Using the idea of similar triangles</span>
<span>6/s = 23/(x + s) </span>
<span>Simplifying:</span>
we get,
<span>6(x + s) = 23s </span>
<span>6x + 6s = 23s </span>
<span>6x = 17s </span>
<span>Differentiating with respect to time, </span>
<span>6(dx/dt) = 17(ds/dt) </span>
<span>Manipulating the above equation for ds/dt,</span>
<span>ds/dt = (17/6)(dx/dt) </span>
<span>ds/dt = (17/6)(6) </span>
<span>ds/dt = 17 ft/sec.</span>
It's $21,000. You multiply $24,000 by 12.5% which is $3,000 then you minus that to 24,000.