The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
Let c represent the number of cookies and let b represent the number of brownies.
Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:
c + b ≥ 125 (1)
Also, Genie has a total of 2,000 grams of flour, hence:
8c + 12b ≤ 2000 (2)
Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
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There are two ways to list the angles:
1) Simply name them based on the points:
∠W , ∠X , ∠Y , ∠Z
2) The way that I believe that you are supposed to list them in this case. List them as such:
∠WYZ , ∠YZX , ∠ZXW , ∠XWY
~
Answer:
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
Therefore, the shortest distance from the point to the plane is
The ones place value is four
