Answer:
1. Add 6 to both sides, cause that is the inverse of subtraction, so you get 5x = 50 as 6 cancels 6 out.
2. Divide 5 from both sides and get x = 10
Answer:
There are 5,586,853,480 different ways to select the jury.
Step-by-step explanation:
The order is not important.
For example, if we had sets of 2 elements
Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
Here we have 
.
So
There are 5,586,853,480 different ways to select the jury.
28.96
or rounded it would be 29
You need to find a scale factor of dilation (probably contraction) to make the replica.
Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.
I choose to covert inches to centimeters.
To do that, use the conversion factor 1 = 2.54 cm / inch
=> 8.5 in * [2.54 cm/in] = 21.59 cm
=> 11 in * [2.54 cm/in] = 27.94 cm
Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:
77 / 27.94 = 2.76
53 / 21.59 = 2.45
Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.
The amount of interest for $5000 investment that earns 4% per year such that 1$ is $1.040742 a the end of the year will be as follows:
A=P(1+r/100)^n
P=principple
r=rate
n=time
Thus
Amount at the end of the year will be:
A=5000(1+4/100)^1=5200
thus interest earned will be:
5200-5000
=$200
