Answer:
a)
if 1 quarter = $ 0.25
1 dime = $ 0.10
1 penny = $ 0.01
so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar
therefore we say;
1 Quarter + 8 dimes + 3 penny
: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )
: 0.25 + 0.80 + 0.03 = $ 1.08
b)
Now if you have a 4 Quarters, you have change for $1.
If you have 5 dimes, you have change for 2 Quarters.
If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.
If you have 5 pennies, you have enough change for 1 nickel
Therefore
(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x
(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x
x = 0.75 + 0.4 + 0.04
x = $ 1.19
PROVED
Answer:
±6
Step-by-step explanation:
Given the mathematical expression;
√36 < √42 < √49
But, √36 = 6 * 6 = 6²
√49 = 7 * 7 = 7²
Simplifying further, we would substitute the new values respectively;
±[6] < √42 < ±[7]
Therefore, evaluating √36 is equal to ±6.
Answer:
The average number of machine cycles per instruction for this microprocessor is 5.8.
Step-by-step explanation:
To find the average number of machine cycles per instruction for this microprocessor, we multiply each number of cycles for it's relative frequency.
We have that:
25% require 2 cycles.
20% require 3 cycles.
17.5% require 4 cycles.
12.5% require 8 cycles.
25% require 12 cycles.
So the average number is:

Answer:
C
Step-by-step explanation:
When you move the decimal either to the right or the left, you change the value. To divide any number by 10, move the decimal point one place to the left. For example:
0.7
7
70
700
7,000
So, for any decimal, when you move the decimal point one place to the right, you multiply that number by 10.
A theorem is the statement that is provided by deductive logic.......