Looking at the graph, we know that A. 3 boxes are filled every 4 min and D. 0.75 boxes are filled per minute are the correct answers.
Hope this helps~
Answer: 5 and 14.
Step-by-step explanation:
We know that the Raiders and Wildcats both scored the same number of points in the first quarter so let a,a+d,a+2d,a+3d be the quarterly scores for the Wildcats. The sum of the Raiders scores is a(1+r+r^{2}+r^{3}) and the sum of the Wildcats scores is 4a+6d. Now we can narrow our search for the values of a,d, and r. Because points are always measured in positive integers, we can conclude that a and d are positive integers. We can also conclude that $r$ is a positive integer by writing down the equation:
a(1+r+r^{2}+r^{3})=4a+6d+1
Now we can start trying out some values of r. We try r=2, which gives
15a=4a+6d+1
11a=6d+1
We need the smallest multiple of 11 (to satisfy the <100 condition) that is 1 (mod 6). We see that this is 55, and therefore a=5 and d=9.
So the Raiders' first two scores were 5 and 10 and the Wildcats' first two scores were 5 and 14.
It should possibly be the square pyramid that has 5 faces.
Answer:
See explanation
Step-by-step explanation:
Given
![-2(5x+8)=14+6x](https://tex.z-dn.net/?f=-2%285x%2B8%29%3D14%2B6x)
Required
Complete the steps
![-2(5x+8)=14+6x](https://tex.z-dn.net/?f=-2%285x%2B8%29%3D14%2B6x)
Multiply 5x and 8 by -2
![-10x - 16 = 14 + 6x](https://tex.z-dn.net/?f=-10x%20-%2016%20%3D%2014%20%2B%206x)
Subtract by 6x
![-10x - 6x- 16 = 14 + 6x - 6x](https://tex.z-dn.net/?f=-10x%20-%206x-%2016%20%3D%2014%20%2B%206x%20-%206x)
![-16x- 16 = 14](https://tex.z-dn.net/?f=-16x-%2016%20%3D%2014)
Add 16
![-16x- 16 + 16= 14 + 16](https://tex.z-dn.net/?f=-16x-%2016%20%2B%2016%3D%2014%20%2B%2016)
![-16x= 30](https://tex.z-dn.net/?f=-16x%3D%2030)
Divide by -16
![x= \frac{30}{-16}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B30%7D%7B-16%7D)
![x= -\frac{15}{8}](https://tex.z-dn.net/?f=x%3D%20-%5Cfrac%7B15%7D%7B8%7D)
<em>See attachment</em>