Answer:
8428
Step-by-step explanation:
According to the Question,
- Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.
We have a number sequence 13, 18, 23, ...
- We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
- The formula for the sum of an arithmetic sequence with n terms is given is
![S_n= \frac{n}{2} [2a_1+(n-1)d]S](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%5B2a_1%2B%28n-1%29d%5DS)
.
Substitute the given values into the equation to solve for the sum of the 56 rows of seats.
![S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428](https://tex.z-dn.net/?f=S_56%3D%20%5Cfrac%7B56%7D%7B2%7D%5B2%2813%29%2B%2856-1%29%285%29%5D%5C%5CS_%7B56%7D%3D28%5Cleft%5B26%2B275%5Cright%5D%5C%5CS_%7B56%7D%3D28%5Cleft%5B301%5Cright%5D%5C%5CS_%7B56%7D%3D8428)
Therefore, there are 8428 seats in all.
Answer:
Assuming you have the lengths in inches.
Do this: (length in inches * 10) x (length in inches * 10)
Step-by-step explanation:
There's information missing from this question. "The football field is 100 yards long and yards wide", but to find out the area of a rectangle you just need to times the two numbers together.
I assume you have a picture with the lengths in inches on, if you can see how many inches are on the scale drawing, times the inches by 10 for the length in yards for each side. Then times the two lengths (in yards) together for the area.
:)
Answer: 5/8
Step-by-step explanation:
Slope is determined by dividing the amount of vertical movement by the amount of horizontal movement and then simplifying the answer. In this case it is 15/24. To simplify you need to find the least common denominator (LCD), which is 3, and divide both numbers by it. 15/3=5 and 24/3=8, so the answer is 5/8.
13. 44 + 40 = 84
14. 15 + 81 = 96
15. 13 + 52 = 65
16. 64 + 28 = 92
