Well, the answer is 12. This is because you need to add the inverse operation. So for (6x-6) You add 6 or the second number( the one that doesn't have the x in front of it)because it is the opposite/inverse operation.You basically just add 6 and because the opposite of subtraction is addition. You then cross is out because it will equal zero. Then with the 6x, you add 6 as well because what you do to one side, you must do the same to the other. so 6+6=12. SO x=12.
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Answer:
x = 1/2 , x = -1/2
Step-by-step explanation:
Given equation;
169x² - 42.25
Find:
Solution of equation using square root
Computation:
169x² - 42.25
We know that 13² = 169 and 6.5² = 42.25
So,
[13x]² - [6.5]²
a² - b² = (a + b)(a - b)
So,
[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]
So,
13x + 6.5 = 0 , 13x - 6.5 = 0
x = 6.5 / 13 , x = -6.5 / 13
x = 1/2 , x = -1/2
The answer to the question
Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
