Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-
Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-
Hence, the committee can be made in 142506 ways.
Given:
The area of the squares are given.
To find:
The exact side length or estimate side length of the square.
Solution:
We know that, the area of a square is
Where, a is the side length of the square.
Area of the square is 100 square units. So, the side length is:
Therefore, the side length is 10 units.
Area of the square is 95 square units. So, the side length is:
It is not exact. We know that .
Therefore, the side length is between 9 and 10.
Area of the square is 36 square units. So, the side length is:
Therefore, the side length is 6 units.
Area of the square is 30 square units. So, the side length is:
It is not exact. We know that .
Therefore, the side length is between 5 and 6.
Answer:
$21.2
Step-by-step explanation:
From the problem given, we express them as algebra so that we can easily solve;
the total charge on a call greater than 120min is given as;
120x + y(n - 120) = total cost of call
where n is the number of minutes which is greater than 120;
n = 175min here;
120x + y(175 - 120) = 26.80
120x + 55y = 26.80 ----- (I)
n = 210min
120x + y(210 - 120) = 32.4
120x + 90y = 32.4 ----- (II)
Now let us solve both equations for y and x;
120x + 55y = 26.80 ----- (I)
120x + 90y = 32.4 ----- (II)
subtract the two equations;
90y - 55y = 32.4 - 26.8
35y = 5.6
y = = 0.16cents
then x;
120x = 26.8 - 55y from equation I
120x = 26.8 - 55(0.16)
120x = 18
x = = 0.15cents
Find the cost of 140min of talk time;
n =140min;
= 120(0.15) + 0.16(140 - 120)
= 18 + 0.16(20)
= 18 + 3.2
= $21.2