2,700 / 12 = 225
225 / 5 = 45
They can make 45 necklaces.
X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.
Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
Answer:
Option A) Circle.
Step-by-step explanation:
We are given the equation:

A general equation of the circle is of the form:

where (h,k) is the center of the circle and r is the radius of circle.
Comparing the two equations, we get,

Thus, the given equation is equation of a circle centered at (3,12) and of radius 5 units.
check the picture below.
now, if we split that triangle like so with that red line, we can use the right-triangle there, to get θ.
