Answer:
Step-by-step explanation:
We can let the 'number' in the expression be equal to 
. Something 6 less than x would x minus 6, or .
To find the decimal value of a fraction, you simply divide the numerator by the denominator. In this case, we are dividing 4 by 20, which is equal to .2. Therefore, the decimal value that is equal to 4/20 is 0.2.
Answer:
So, exists 5527200 different leadership structures.
Step-by-step explanation:
We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
Since the order of the people is important to us, we have the following:
50·49·48·47=5527200
So, exists 5527200 different leadership structures.
(25 - 10.81) - 1.38p = 10
p = package of peanuts
25 - 10.81 = 14.19
14.19 - 1.38p = 10
Subtract 14.19 from each side
10 - 14.19 = -4.19
-1.38p = -4.19
Divide both sides by -1.38
p = 3 (roughly, but because you can only buy the whole package, this is the amount you can buy)
He can buy a maximum of 3 packages of peanuts.
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal = 
=47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
