Answer:
Total number of ways to distribute the prize = 2187
Step-by-step explanation:
Given:
Number of prizes = 7
Number of peoples = 3
We need to find the total number of ways to distribute the prize.
Solution:
From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.
Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.
So, total number of distribution of the prizes is given as:
Therefore, total number of ways to distribute the prizes = 2187
Answer:
The ordered pair (4,1) gives a true statement for both equations.
Step-by-step explanation:
So for the first equation, x + 2y = 6. The ordered pair is (4,1). This means x=4 and y=1 because ordered pairs are in (x,y) form. First substitute the x and y values into the first equation
Let x=4 y=1
x + 2y = 6.
4 + 2(1) = 6
4 + 2 = 6
6=6. This means that the ordered pair works for the first equation.
Now, the second equation. x - y = 3.
Again, substitute the x and y values.
4 - 1 = 3
3=3. This means that the ordered pair (4,1) works for the second equation.
The ordered pair (4,1) gives a true statement for both equations.
Answer:sq rt of 49
Step-by-step explanation:
Answer:
If the present age is x, then age n years later/hence = x + n. If the present age is x, then age n years ago = x – n. The ages in a ratio a: b will be ax and bx. If the current age is y, then 1/n of the age is y/n.
