Our number system is in base 10, which means that each digit has a value that is a multiple of 10.
For ex:
877 literally means
8 7 7 where each digit is multiplied by
10^ 2 10 ^1 10^0 respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877
Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)
To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder
877 : 2 = 438 + 1 (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1
now write ALL off the remainders from BOTTOM to TOP:
1101101101
use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor)
1 pencil + 1 eraser = $1.10
Pencil cost $1 more than the eraser.
⇒ If we take away $1 from the total, both the pencil and the eraser will cost the same.
⇒ $1.10 - $1.00 = $0.10
Divide by 2 to find the cost of the eraser.
⇒$0.10 ÷ 2 = $0.05
Find the cost of the pencil, which is $1 more than the eraser.
⇒ $0.05 + $1 = $1.05
Answer: The eraser costs $0.05
Answer:
d. 18a² - 12a
Step-by-step explanation:
f(x) = 2x² + 4x
f(-3a) = 2(-3a)² + 4(-3a)
2(-3a)² + 4(-3a)
2(9a²) + (-12a)
18a² - 12a
Answer:
C. 60
Step-by-step explanation:
From triangle ADB,







From triangle ADC,





The perimeter is the distance around the figure.
The perimeter


2.00 * 8.5%, which is also 2.00 * 0.085
2.00 * 0.085 = 0.17
2.17 after sales