Answer:
Chris have 24 local stamps
Step-by-step explanation:
We are given that The ratio of the number of local stamps to foreign stamps is 1 : 3.
Let the ratio be x
Number of local stamps = x
Number of foreign stamps = 3x
Total Number of stamps =x+3x=4x
We are given that Chris has 96 local and foreign stamps altogether in his collection
So, 4x=96

x=24
Hence Chris have 24 local stamps
I'm guessing....
p(pen) = 3 / 10
p(crayon) = 1/ 2
Answer:
.
Step-by-step explanation:
The equation of a circle of radius
centered at
is:
.
.
Differentiate implicitly with respect to
to find the slope of tangents to this circle.
![\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E%7B2%7D%20%2B%20y%5E%7B2%7D%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B25%5D)
.
Apply the power rule and the chain rule. Treat
as a function of
,
.
.
.
That is:
.
Solve this equation for
:
.
The slope of the tangent to this circle at point
will thus equal
.
Apply the slope-point of a line in a cartesian plane:
, where
is the gradient of this line, and
are the coordinates of a point on that line.
For the tangent line in this question:
,
.
The equation of this tangent line will thus be:
.
That simplifies to
.
15 + 16 + 15 + 8 + 6 = 60 divided by 5 = 12
Answer is D