Answer:
The answer is 17/20
Step-by-step explanation:
Answer: 0.15p+1.59n ≤ 5.00
Step-by-step explanation:
Given: A pencil costs $0.15, and a The notebook costs $1.59.
Let p = Number of pencils.
n = Number of notebooks.
Total cost of pencil and notebook = 0.15p+1.59n
Since Mayumi has $5.00.
So, Total cost of pencil and notebook ≤ $5.00
⇒ 0.15p+1.59n ≤ 5.00
Hence, the required inequality: 0.15p+1.59n ≤ 5.00
X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3
x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1
-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===
-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===
x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==
so x = 0, y = 1, and z = 1
Answer
Find out the which line segment is a chord of circle E in the diagram below.
To prove
As given
Definition of a chord
A chord is the striaght line whose endpoints are lies in the circle.
Now as shown in the diagram given in the question.
CD is the striaght line whose endpoints lies in the circle E .
Therefore CD is a chord of circle E.
Option (d) is correct.
