2b^2 + 81/2 b + 4
basically 2b^2 + 16b + 49/2 b + 4
= (2b^2) + 16b+49/2b) + (4)
= 2b^2 + 81/2 b + 4
2. There are 18 other bottles in the fridge, because .6 of 30 is 18. 30 – 18 is 12, so there are 12 bottles of orange juice and cranberry juice.
4. If the probability of an event is 25%, then the probability of <em>not</em> that event is the other part of 100%. In other words, 1 – .25 = .75.
Answer:
![w = \frac{1}{2}(P - 24)](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28P%20-%2024%29)
![w = 153\ yards](https://tex.z-dn.net/?f=w%20%3D%20153%5C%20yards)
Step-by-step explanation:
Given
![P = 24 + 2w](https://tex.z-dn.net/?f=P%20%3D%2024%20%2B%202w)
Require
Solving (a):
![P = 24 + 2w](https://tex.z-dn.net/?f=P%20%3D%2024%20%2B%202w)
Subtract 24 from both sides
![P-24 = 24-24 + 2w](https://tex.z-dn.net/?f=P-24%20%3D%2024-24%20%2B%202w)
![P-24 = 2w](https://tex.z-dn.net/?f=P-24%20%3D%202w)
Divide both sides by 2
![\frac{1}{2}(P - 24) = \frac{2w}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28P%20-%2024%29%20%3D%20%5Cfrac%7B2w%7D%7B2%7D)
![\frac{1}{2}(P - 24) = w](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28P%20-%2024%29%20%3D%20w)
![w = \frac{1}{2}(P - 24)](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28P%20-%2024%29)
Solving (b):
Substitute 330 for P un the expression in (1)
![w = \frac{1}{2}(330 - 24)](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28330%20-%2024%29)
Evaluate the bracket
![w = \frac{1}{2}(306)](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28306%29)
![w = 153\ yards](https://tex.z-dn.net/?f=w%20%3D%20153%5C%20yards)
<em>Question c; seem irrelevant</em>
To find the answer,we can set an equation:
Let the time he used to drive in the afternoon be y miles.
Time used in the afternoon = y
Time used in morning = y - 70
Total time used = 248
The value of y:
y + (y - 70) = 248
2y-70 = 248
2y = 248+70
2y = 318
y = 318/2
y = 159
Therefore, he droved 159 miles in the afternoon.
Hope it helps!