Answer:
7/20
Step-by-step explanation:
first of all you have to put the two fractions on the same denominators
1/4 (multiply by 5) and you will get 5/20
2/5(multiply by 4) and you will get 8/20
we have to add 5/20 and 8/20 that gives us 13/20
13/20 is the amount he drank
20/20 - 13/20 =7/20
7/20 is the amount of water left that Charlie has left
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)
3,6,12...
this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.
start with 3
3 * 2 = 6
6 * 2 = 12
12 * 2 = 24...this would be ur next term
so ur answer is : multiply by 2
<u>We know that:</u>
Slope of a line = change in y coordinate / change in x coordinate
<u>We are given:</u>
First point = (2,5)
Second point = (5, 14)
<u>Calculating the change in y coordinate:</u>
change in y (also represented by Δy) = second y - first y
Δy = 14 - 5
Δy = 9
<u>Calculating the change in x coordinate:</u>
Δx = second x - first x
Δx = 5 - 2
Δx = 3
<u>Slope of the line:</u>
Slope = (Δy) / (Δx)
Slope = 9 / 3 [replacing the values]
Slope = 3