Answer:
The sum of the series is 749
Step-by-step explanation:
Given



Required
The sum of the series
This is calculated using:
![S_n = \frac{n}{2}[a_1 + a_n]](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5Ba_1%20%2B%20a_n%5D)
Substitute 14 for n
![S_{14} = \frac{14}{2}[a_1 + a_{14}]](https://tex.z-dn.net/?f=S_%7B14%7D%20%3D%20%5Cfrac%7B14%7D%7B2%7D%5Ba_1%20%2B%20a_%7B14%7D%5D)
![S_{14} = 7[a_1 + a_{14}]](https://tex.z-dn.net/?f=S_%7B14%7D%20%3D%207%5Ba_1%20%2B%20a_%7B14%7D%5D)
Substitute values for a1 and a14
![S_{14} = 7[8 + 99]](https://tex.z-dn.net/?f=S_%7B14%7D%20%3D%207%5B8%20%2B%2099%5D)


 
        
             
        
        
        
The triangle has a base of 4 and a height of 2.
        
             
        
        
        
Answer:
Jennifer used $24-14=10 dollars in total.
The $10 was spend on five pens, each pen costing say, x, dollars.
The equation would be 10 = 5x
x = 10÷5= $2
So each pen costs $2 :)
Hope this helps! Feel free to ask below if you have any questions~ 
 
        
                    
             
        
        
        
Answer:
3 can 
Step-by-step explanation:
there 
 
        
             
        
        
        
Answer:
Grades 6 and 8
Step-by-step explanation:
If the relationship of girls to boys in two different grades are proportional, <u>they must have the same ratio</u>. To tackle this problem, we can find the <u>ratios</u> of genders in each grade and compare them.
Step 1, finding ratios:
Finding ratios is just like <u>simplifying fractions</u>. We will reduce the numbers by their<u> greatest common factors</u>.




<u>Can't be simplified!</u>
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Step 2:
Notice how grades 6 and 8 both had a ratio of 3:4. We can conclude that these two grades have a proportional relationship between girls and boys.
<em>I hope this helps! Let me know if you have any questions :)</em>
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