et balcony tickets be represented by 'b' & main floor tickets by'm'.
There were 100 more balcony tickets than main-floor tickets sold for a concert.
-->> b-m=100...(eq. 1)
From the second condition we get...
-->> 4b+12m=3056...(eq. 2)
multiply eq1 by 12 and add it with eq.2
-->(12b-12m)+(4b+12m)=(1200+3056)
-->16b=4256
-->>b=266
so 266 balcony tickets were sold.
hope this helps
Answer:

(b) Yes, it is divisible by 9
Step-by-step explanation:
Given

Solving (a): Complete the blanks
![6m(3m + 21) = 9 [\ ]](https://tex.z-dn.net/?f=6m%283m%20%2B%2021%29%20%3D%209%20%5B%5C%20%5D)
Expand the bracket
![6m(3[m + 7]) = 9 [\ ]](https://tex.z-dn.net/?f=6m%283%5Bm%20%2B%207%5D%29%20%3D%209%20%5B%5C%20%5D)
![6m*3(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=6m%2A3%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
Express 6m as 2m * 3
![2m*3*3(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=2m%2A3%2A3%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
![2m*9(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=2m%2A9%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
Rewrite as:
![9 * 2m(m + 7) = 9 [\ ]](https://tex.z-dn.net/?f=9%20%2A%202m%28m%20%2B%207%29%20%3D%209%20%5B%5C%20%5D)
Multiply the bracket by 2m
![9 * (2m^2 + 14m) = 9 [\ ]](https://tex.z-dn.net/?f=9%20%2A%20%282m%5E2%20%2B%2014m%29%20%3D%209%20%5B%5C%20%5D)
Divide both sides by 9
![2m^2 + 14m = [\ ]](https://tex.z-dn.net/?f=2m%5E2%20%2B%2014m%20%3D%20%5B%5C%20%5D)
<em>Hence, the bracket will be filled with: </em>
<em></em>
<em>So:</em>

Solving (b): Is
divisible by 9?
In (a), we have:

The leading factor "9" implies that the expression is divisible by 9
Answer:
<h3><em><u>h</u></em><em><u>a</u></em><em><u>n</u></em><em><u>a</u></em><em><u>d</u></em><em><u> </u></em><em><u>a</u></em><em><u>h</u></em><em><u>m</u></em><em><u>e</u></em><em><u>d</u></em><em><u> </u></em><em><u>u</u></em><em><u>g</u></em><em><u>a</u></em><em><u>a</u></em><em><u>s</u></em><em><u> </u></em><em><u>m</u></em><em><u>o</u></em><em><u>h</u></em><em><u>m</u></em><em><u>e</u></em><em><u>d</u></em><em><u> </u></em><em><u>a</u></em><em><u>b</u></em><em><u>d</u></em><em><u>i</u></em><em><u> </u></em></h3>
Answer:
9
Step-by-step explanation:
The range is the difference between the highest and lowest number.
Answer:
-96
Step-by-step explanation:
(2)(-6)(8)=(12)(8)=-96