Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
=
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S
= 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 =
(26 + 150)
∴ 2,816 =
(176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
1: 5 2: 9 or 10
For question 1 we can round 115 to 100, 5x100 is 500 which is closer to 545 than 7x100 = 700.
Answer:
<h2>The slope m = -2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation in the standard form:

Convert to the slope intercept form:
<em>subtract 6x from both sides</em>
<em>divide both sides by 3</em>

slope: <em>m = -2</em>
y-intercept: <em>b = 4</em>
Answer:
larger number = 35
smaller number = 26
Step-by-step explanation:
let larger number be x
and another ( x-9 )
so, x+x-9=61
2x = 70
x = 35
smaller number = 35 - 9
= 26
11/3*6/11=66/33=2
6 24/20-2 15/20=2 9/20