It is given that there are 41 males and 48 females in the small school.
So, the number of ways a male student can be chosen from 41 males is 
Likewise, the number of ways a female student can be chosen from 48 females is 
.
Thus, the total number of ways in which 2-person combinations are possible to represent the student body at the PTSAC meetings will be given by:
There are infinitely many solutions.
Algebraically, we can eliminate 
and try to solve for 
:
Then
which is the equation of an ellipse.
Answer:
I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Step-by-step explanation:
Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:
8 x 0.95 + 4.5 x 0.05 = 7.825
8 x 0.94 + 4.5 x 0.06 = 7.79
0.94 x 28 = 26.32
26.4 x 8 + 1.6 x 4.5 = 218.4
218.4 / 28 = 7.8
Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Answer:
0.09375 tons
Step-by-step explanation:
In this problem, it is given that Samuel has 3/4 tons of mulch i.e. 0.75 tons of mulch.
Again it is given that Samuel has to spread equally this amount of mulch in 8 square yards of the plot.
Since the mulch is spread uniformly, then we can say that in each square yard of the plot (0.75/8) = 0.09375 tons of mulch is been spread.
Therefore, 0.09375 tons of mulch will be spread in each square yard. (Answer)
Answer:
510
Step-by-step explanation:
= 510
