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.
Answer:
12/5
Step-by-step explanation:
Reciprocal of 2/3 is 3/2
Reciprocal of 1/8 is 8/1
Reciprocal of 5 is 1/5
Can be simplified to
I think a small milk carton holds one cup
1 Multiply both sides by
4
x
4x.
−
3
=
−
3
2
×
4
x
−3=−
2
3
×4x
2 Simplify
3
2
×
4
x
2
3
×4x to
6
x
6x.
−
3
=
−
6
x
−3=−6x
3 Divide both sides by
−
6
−6.
−
3
−
6
=
x
−6
−3
=x
4 Two negatives make a positive.
3
6
=
x
6
3
=x
5 Simplify
3
6
6
3
to
1
2
2
1
.
1
2
=
x
2
1
=x
6 Switch sides.
x
=
1
2
x=
2
Answer:
x = -2/9
Step-by-step explanation:
27x = 9x − 4
Subtract 9x from each side
27x-9x = 9x-9x − 4
18x = -4
Divide each side by 18
18x/18 = -4/18
x = -4/18
Divide the top and bottom by 2
x = -2/9
