A) x = number of cheese wafers y = number of chocolate wafers
2x + y = 25
x + y = 20
B) 2x + y = 25
-x + -y = -20 Reverse the signs for elimination
x = 5 They purchased 5 cheese wafers
x + y = 20 Substitute the known variable
5 + y = 20 Simplify
y = 15 They purchased 15 chocolate wafers
Answer:
Step-by-step explanation:
Arranging the given equation in slope-intercept form ( y = mx + b ):
<em>We know that the perpendicular line would have a slope (m) that is </em><em>negative reciprocal </em><em>of this (
). Thus we can write the perpendicular line's equation as 
. </em>
<em />
<em>Now putting x = 4 and y = -6 into the equation, we can solve for b:</em>
<em>
</em>
<em />
Thus, the equation of the perpendicular line is
The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.
<h3>How to illustrate the inequality?</h3>
From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.
Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.
Learn more about inequalities on:
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Answer:
-3/4
Step-by-step explanation:
