Answer:
The answer is -6x + 6
Step-by-step explanation:
For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side
Since we have -6x + 6 on the left hand side
To have infinite number of solutions, what we have on the right hand side will be the same
Thus, we have -6x + 6 on the second side
Answer:
![(1)1.8X10^{13}\\(2)3.2X10^8\\(3)5.625X10^4](https://tex.z-dn.net/?f=%281%291.8X10%5E%7B13%7D%5C%5C%282%293.2X10%5E8%5C%5C%283%295.625X10%5E4)
Step-by-step explanation:
1. Federal Debt=18 trillion dollars.
=18,000,000,000,000
![=1.8X10^{13](https://tex.z-dn.net/?f=%3D1.8X10%5E%7B13)
2. Population =320 million people.
=320,000,000
![=3.2X10^8](https://tex.z-dn.net/?f=%3D3.2X10%5E8)
3. Federal Debt Per Capita
Debt Per Capita =Debt/Population
Therefore:
Federal Debt Per Capita
![=\dfrac{1.8X10^{13}}{3.2X10^8}\\=0.5625X10^{13-8}\\=0.5625X10^5\\=5.625X10^4](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1.8X10%5E%7B13%7D%7D%7B3.2X10%5E8%7D%5C%5C%3D0.5625X10%5E%7B13-8%7D%5C%5C%3D0.5625X10%5E5%5C%5C%3D5.625X10%5E4)
The standard form of the
equation that represents the number of quarters, q, and the number of dimes, d,
that Austin has in his piggy bank is 5q + 2d = 270. This can be change to slope
intercept form to see the clearer picture. By dividing the whole equation by 2,
so the equation become d= -2.5q + 135.
<span>This means that Austin has
initially 135 dimes in his piggy bank and he is losing 2.5 dimes per quater</span>
Answer:
4 meters longer.
Step-by-step explanation:
Amit built a sandcastle that measured 600 cm by 600 cm i.e. 6 meters by 6 meters.
Therefore, its perimeter is 2(6 + 6) = 24 meters
Now, afterward, he decided to change the castle size, making it 8 meters by 6 meters.
Therefore, its perimeter is 2(6 + 8) = 28 meters
Therefore, the perimeter of the new castle is increased by (28 - 24) = 4 meters.
If Amit dug a moat around his castle then the new moat will be 4 meters longer than the old one. (Answer)
As the moat is dug around the castle, its length will be the same as the perimeter of the castle.