Nicolas mixes three solutions of acid with concentrations of 10 % , 15 % , and 5 % . He wants to make 30 L of a mixture that is 12 % acid and he uses four times as much of the 15 % solution as the 5 % solution. How much of each of the three solutions must he use?
Nicolas mixes three solutions of acid with concentrations of 10 % , 15 % , and 5 % . He wants to make 30 L of a mixture that is 12 % acid and he uses four times as much of the 15 % solution as the 5 % solution. How much of each of the three solutions must he use?
Nicolas mixes three solutions of acid with concentrations of
10
%
,
15
%
,
and
5
%
.
He wants to make
30
L
of a mixture that is
12
%
acid and he uses four times as much of the
15
%
solution as the
5
%
solution. How much of each of the three solutions must he use?
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.
Elementary Statistics: Picturing the World (7th Edition)
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