A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
<span>Simplifying
2x + n = 3
Reorder the terms:
n + 2x = 3
Solving
n + 2x = 3
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-2x' to each side of the equation.
n + 2x + -2x = 3 + -2x
Combine like terms: 2x + -2x = 0
n + 0 = 3 + -2x
n = 3 + -2x
Simplifying
n = 3 + -2x</span>
Ratio of girls to boys = 5/3
Number of girls in 40 students would be 3/5 * 40 = 24
Answer:
Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."
Step-by-step explanation:
Becky completed the proof incorrectly because her justification for the second statement is not totally correct.
Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.
However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".
The sum of supplementary angles = 180°.
Therefore, Becky completed the proof incorrectly.
2s+5<span>≥49
First: Subtract 5 on both sides
You'll get: 2s </span><span>≥ 44
Last: Divide each side by 2 so your s would be alone
You'll get: s </span><span>≥ 22 <That would be your answer
HOPE THIS HELPS! ^_^</span>
