4.5
6*-1=-6
-6/-4=1.5
1.5+3=4.5
$2.88/12=0.24 cents per ounce
Answer:
8π in
Step-by-step explanation:
The Area of a Circle is πr². In this case, we're given the area as 16π, so the radius is 4 because the square root of 16 is 4.
The Circumference of a Circle is 2πr. Since the radius is 4:
Therefore, the circumference is 8π inches.
![\left\{\begin{array}{ccc}-3x+y=6&|\text{add 3x to both sides}\\5x+2y=23\end{array}\right\\\\\left\{\begin{array}{ccc}y=3x+6\\5x+2y=23\end{array}\right\\\\\text{substitute}\ y=3x+6\ \text{to the second equation}\\\\5x+2(3x+6)=23\qquad|\text{use distributive property}\\\\5x+(2)(3x)+(2)(6)=23\\\\5x+6x+12=23\qquad|\text{subtract 12 from both sides}\\\\11x=11\qquad|\text{divide both sides by 11}\\\\\boxed{x=1}\\\\\text{subtract the value of x to the first equation}\\\\y=3(1)+6\\\\y=3+6\\\\\boxed{y=9}](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D-3x%2By%3D6%26%7C%5Ctext%7Badd%203x%20to%20both%20sides%7D%5C%5C5x%2B2y%3D23%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dy%3D3x%2B6%5C%5C5x%2B2y%3D23%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Ctext%7Bsubstitute%7D%5C%20y%3D3x%2B6%5C%20%5Ctext%7Bto%20the%20second%20equation%7D%5C%5C%5C%5C5x%2B2%283x%2B6%29%3D23%5Cqquad%7C%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5C5x%2B%282%29%283x%29%2B%282%29%286%29%3D23%5C%5C%5C%5C5x%2B6x%2B12%3D23%5Cqquad%7C%5Ctext%7Bsubtract%2012%20from%20both%20sides%7D%5C%5C%5C%5C11x%3D11%5Cqquad%7C%5Ctext%7Bdivide%20both%20sides%20by%2011%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D1%7D%5C%5C%5C%5C%5Ctext%7Bsubtract%20the%20value%20of%20x%20to%20the%20first%20equation%7D%5C%5C%5C%5Cy%3D3%281%29%2B6%5C%5C%5C%5Cy%3D3%2B6%5C%5C%5C%5C%5Cboxed%7By%3D9%7D)
<h3>Answer: x = 1 and y = 9 → (1, 9).</h3>
If you want it to be y=mx+b form then the equations should look like this: y=x+5 and y=-1/3x+1.