First term, a
1
=4
Second term, a
2
=8
Common difference, d=a
2
=a
1
d=8−4=4
∴ The common difference is 4
(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)
This becomes easier if we switch to fractional exponents:
5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3) 5^(5/3) 5^(5/3)
Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.
1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)
That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:
1 5^(1/6) 5^(1/6)
---------- * ------------- = -------------- (ANSWER)
5^(5/6) 5^(1/6) 5
40% of 65.00=0.40×65=26
65-26=39(your price)
sales tax(5%)=0.05×39=1.95 tax
39+1.95
=40.95(total)
Answer: #20, x = 3
#21, x = 1/2
Step-by-step explanation:
#20) x + 4 + x + 2+ x + 5 = x + 3 +x+3+x+1+x+1
3x + 11 = 4x + 8
<u>-3x -3x</u>
11= x + 8
<u> - 8 - 8</u>
3 = x
#21) 12x(5) = 6x + 9 + x + 10 + x + 7
60x =8x + 26
<u> -8x -8x</u>
52x = 26
divide both sides by 52
x = 1/2
Answer:
Step-by-step explanation:
Volume of 100 pages of the book =20 inches cube.
Step-by-step explanation:
Given : A 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall.
To find : The volume of 100 pages of the book.
Solution :
Formula to find the volume of book is
Where Length L=10 inches
Breadth B= 8 inches
Height H= inches.
Volume of the book with 300 pages is
Volume of 300 pages of the book = 60 inches cube.
Volume of 1 page of the book = inches cube
Volume of 100 page of the book = inches cube
Volume of 100 pages of the book =20 inches cube.
