Plug in 2 wherever you see 'a'
3(2) + 5(2)(2)
1. 3×2 = 6, so:
6 + 5(2)(2)
2. 5×2=10, 10×2=20, so:
6 + 20
The final answer is 26.
Answer:
scientific notation is the system to write very large or very small number.
Let give Poppy = P, Felix = F, Alexi = A
so P+ F + A = 700 ----(1)
P = 2F ----(2)
A = 25 + P ---(3)
we will think in term of P
from (2) F = P/2
from (1) P + F + A = 700
P + P/2 + 25 + P = 700 ---(4)
(4) multiplied by 2
2P + P + 50 + 2P = 1400
5P + 50 = 1400
5P = 1350
so P = 270
so Poppy sold 270 tickets
Felix sold 135 tickets
and Alexi sold 295 tickets //
Answer:
5/(3x+2) = 7/(5x-2)
<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)
<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)
<=> 4x = 24 (x is not equal to -3/2 or 2/5)
<=> x = 6 (valid)
Answer:
The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Step-by-step explanation:
Given
Rectangle Pyramid
Base Length = 3x + 1
Base Width = x
Height = 12
Volume = 96
Required
Dimension of the base of the pyramid
Given that the volume of the pyramid is ⅓ of the base area * the height.
This is represented mathematical as
Volume = ⅓ * base area * height.
Where
Base area = width * length
Base area = (3x + 1) * x
Base area = 3x² + x.
So,
Volume becomes
Volume = ⅓ * (3x² + x) * 12.
Volume = (3x² + x) * 4
Substitute 96 for volume
96 = (3x² + x) * 4
Divide both sides by 4
96/4 = (3x² + x) * 4/4
24 = 3x² + x
Subtract 24 fr both sides
24 - 24 = 3x² + x - 24
0 = 3x² + x - 24
3x² + x - 24 = 0
Expand
3x² + 9x - 8x - 24 = 0
Factorize
3x(x + 3) - 8(x + 3) = 0
(3x - 8)(x + 3) = 0
3x - 8 = 0 or x + 3 = 0
3x = 8 or x = -3
x = 8/3 or x = -3
Recall that
Length = 3x + 1
Width = x
For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.
Substitute x = 8/3
Length = 3x + 1
Length = 3(8/3) + 1
Length = 8 + 1
Length = 9
Width = x
Width = 8/3
Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
