Diego works at a warehouse that ships two types of packages, a red package weighing 4 pounds and a blue package weighing 6 pound
1 answer:
You might be interested in
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
_____
The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
Answer:
11, 12.
Step-by-step explanation:
Let q represent number of quarters.
We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.
We can represent this information in an inequality as:
We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.
We know that each dime is worth $0.10 and each quarter is worth $0.25.
Now, let us solve our system of inequalities.
From 1st inequality, we will get:
From 2nd inequality, we will get:
Upon combining our both inequalities, we will get:
This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.
Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.