The total number of gifts = x+y.
The inequality is:

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:

Without graphing you can solve system by using substitution:

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.
If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

This is complete solution which gives all possible combinations.
(Graph is Attached)
Answer:
B is the correct answer.
Step-by-step explanation:
1) the sum of all three angles in a triangle is always 180, so number 5 is w=80
2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110
3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60
4) these are all linear pairs. every angle shown has to be 90
Answer:
54 Pounds
Step-by-step explanation:
We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.
The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem
67.5
We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.
67.5 x 0.8
This leads the answer to be 54 Pounds
Hope this helped :D
Answer:
D. Negative.
Step-by-step explanation:
In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:
y-y₁=m(x-x₁)
Plug in your information and solve.
-1 - 5 = m (2 - (-1))
-6 = m (3)
-6 = 3m
m = -6 / 3
m = -2
(m = slope)
Also, when shown on the graph =
If the slope is going:
up from left to right: it's positive
down from left to right: it's negative
straight up and down (vertical): it's undefined
straight left to right (horizontal): it's zero.