Hmmm..... let us try again...but this time with a different strategy,.... by the graph method.
The system is
3x + 4y =96
2x + 5y = 99.
We find solutions of each system and then plot them on a graph.
Solutions for equation 1 = (2, 22.5) and (30, 0)
Solutions for equation 2 = (49.5 , 0) and (1, 19.4)
Now, we plot both the equations on a graph paper and note its intersecting point.
Experimentally, we find the intersecting point is (12,15)
Thus, the solution for the system is x = 12 , y = 15.
Thus, we arrive at the conclusion 1 shirt costs 12$
1 cap costs 15$
Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:
![2x+7\leq x+4\leq 3x+16](https://tex.z-dn.net/?f=2x%2B7%5Cleq%20x%2B4%5Cleq%203x%2B16)
Let's solve for each of the inequalities:
1)
We have:
![2x+7\leq x+4](https://tex.z-dn.net/?f=2x%2B7%5Cleq%20x%2B4)
Subtract x from both sides:
![x+7\leq 4](https://tex.z-dn.net/?f=x%2B7%5Cleq%204)
Subtract 7 from both sides:
![x\leq -3](https://tex.z-dn.net/?f=x%5Cleq%20-3)
So that's one of our answers.
2)
We have:
![x+4\leq 3x+16](https://tex.z-dn.net/?f=x%2B4%5Cleq%203x%2B16)
Subtract 3x from both sides:
![-2x+4\leq 16](https://tex.z-dn.net/?f=-2x%2B4%5Cleq%2016)
Subtract 4 from both sides:
![-2x\leq 12](https://tex.z-dn.net/?f=-2x%5Cleq%2012)
Divide both sides by -2. Since we're dividing by a negative, flip the sign:
![x\geq -6](https://tex.z-dn.net/?f=x%5Cgeq%20-6)
Therefore, our entire answer is:
![-6\leq x\leq -3](https://tex.z-dn.net/?f=-6%5Cleq%20x%5Cleq%20-3)
This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
![[-6,-3]](https://tex.z-dn.net/?f=%5B-6%2C-3%5D)
So, A is -6.
And B is -3.
And we're done :)
Answer:
hm if it were in fraction form it would be called a mixed number but if not the it would be either tenths hundredths thousandths these three would be the most common of them all
Step-by-step explanation:
Answer:
9, with a remainder of 1, OR 9.2
Step-by-step explanation: