Answer:
Each friend will receive 7 candies.
Step-by-step explanation:
Given that:
Number of candies in one bag = 20 pieces
Number of candies in other bag = 15 pieces
Total number of candies = 20 + 15 = 35 pieces
Number of friends = 5
Let,
c be the number of candies each friend will receive.
5c = 35
Dividing both sides by 5
c = 7
Hence,
Each friend will receive 7 candies.
Constraints are simply the subjects of an objective function.
The inequality that represents the constraint is:
Represent the number of hats with x, and the number of scarves with y.
From the question, we have:
So, the equation of the total time spent is:
This time spent is not more than 20 hours.
So, the inequality is
Hence, the inequality that represents the constraint is:
Read more about constraints at:
Answer:
Option A. and
Step-by-step explanation:
we know that
The solution of the first inequality is the shaded area below the solid line
The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)
therefore
The first inequality is
The solution of the second inequality is the shaded area to the right of the solid line x=0
therefore
The second inequality is
Answer:
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
The coefficient of the x is the slope
The slope of the perpendicular line is the negative reciprocal of m, thus
We know the second line passes through (2,3). That is enough information to find the second equation:
Operating
Simplifying
That is the equation in slope-intercept form. Intercept: y=4