Answer:
Arlene had 175 and Celine had 225
Step-by-step explanation:
1 ounce --> ?
1/5 --> 1/25
i chaged the freactions to decimal this is what i got,
1ounce --> ?
0.2 ounce--> 0.04 ounces
divide 0.2 ounces by 0.04 ounces and you'll get the answer
0.2 is the answer per pound of jelly you will use o.2 ounces
For this case we have the following equation:
![(2x + 3) ^ 2 + 8 (2x + 3) + 11 = 0](https://tex.z-dn.net/?f=%282x%20%2B%203%29%20%5E%202%20%2B%208%20%282x%20%2B%203%29%20%2B%2011%20%3D%200)
Let ![u = 2x + 3](https://tex.z-dn.net/?f=u%20%3D%202x%20%2B%203)
We have:
![u ^ 2 + 8u + 11 = 0](https://tex.z-dn.net/?f=u%20%5E%202%20%2B%208u%20%2B%2011%20%3D%200)
By definition, given an equation of the form ![ax ^ 2 + bx + c = 0](https://tex.z-dn.net/?f=ax%20%5E%202%20%2B%20bx%20%2B%20c%20%3D%200)
The quadratic formula, to find the solution can be written as:
![x = \frac{-b+/-\sqrt{b ^ 2-4 (a) (c)} }{2(a)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%20%7D%7B2%28a%29%7D)
In this case we have:
![a = 1\\b = 8\\c = 11](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%208%5C%5Cc%20%3D%2011)
Substituting in the quadratic formula we have:
See attached image
Answer:
Option B
5 can go into 20 numbers between 1-100 and 8 can go into 12 numbers between 1-100