Answer:
blank = 0.985
Step-by-step explanation:
Let's say blank = x.
1 - x = 0.015
x = 1 - 0.015
x = 0.985
Therefore, blank = 0.985.
Bracelet cost = b
Necklace cost = n
15b + 8n = 500
19b + 24n = 980
Elimination method x -3
-45b - 24n = -1500
19b + 24n = 980
-26b = -520
b = $20 bracelets
Plug back in
19(20) + 24n = 980
380 + 24n = 980
24n = 600
n = $25 necklaces
Check:
15(20)+ 8(25)= 500
300 + 200 = 500
500 = 500 :)
Take an arbitrary vector (<em>x</em>, <em>y</em>, <em>z</em>), which goes from the origin to some point (<em>x</em>, <em>y</em>, <em>z</em>) on the plane we want to find.
Subtract from this vector, the vector that points to 
, which is (-3, 3, 1). This translates the first vector so that it starts at the point and is directed at some point (<em>x</em>, <em>y</em>, <em>z</em>). We get a new translated vector, (<em>x</em> + 3, <em>y</em> - 3, <em>z</em> - 1), which lies in the plane.
The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:
and so the answer is D.
The least common multiple is the smallest multiple of the given numbers that is a common multiple for all the numbers being compared.
We have to divide the numbers by numbers that are divisible
15,12
Divide both by 3 -15/3 =5. 12/3 =4
5 and 4 aren’t divisible by any common numbers, we take them as it is
L.C.M = 3*4*5 = 60
Answer is 60
Answer:
5/8 - (1/4)^2 = 0.5625, hope this helps!
