14 hours.
Work backwards. From travel, getting ready and sleep he needs 9.5 hours. From 11am to 10:30am is 23.5 hours. Subtracting the two you get 14 hours.
Answer: 3 (first choice)
A power to a power gives a multiplication of powers, e.g.,
(7¹⁰)² = 7²⁰
So the left side is 7²⁰ / 7⁴ and we divide the top and bottom by 7 get we
(7¹⁰)² / 7⁴ = 7²⁰ / 7⁴ = 7¹⁹ / 7³
We compare that to the right side 7¹⁹ / 7ˣ and it's clear x=3.
To get the value of n in the problem above, divide the sum by the number of n's added together. From the given, n + n = 24, there are only two n's added together. Hence, divided 24 by 2. The answer to this item is 12.
Answer: The length is 15 inches and breadth is 9 inches
Step-by-step explanation:
Given : Area of rectangular sheet = 135 square inches
Perimeter of rectangular sheet = 48 square inches
Now Area of rectangular sheet = 
= 135 square inches
perimeter of rectangular sheet = 
= 48 square inches
Thus 
= 24 square inches
Thus Length = 15 inches
Breadth = 9 inches
C=0.5x + 10
Where:
C = total cost of printing
x = number of business cards printed
0.5 = variable cost of printing, this cost depends on the number of business card
10 = fixed cost of printing, this cost stays the same regardless of the number of business card printed.
C = 0.5x + 10 ; derive the formula of x.
C - 10 = 0.5x
(C - 10)/0.5 = x
