Slot method
20 options
3 slots
First slot: 20 options
Second slot: 19 options (one used up for 1st slot)
Third slot: 18 (one less than last)
Multiply them
20 times 19 times 18=6840
Answer is 6840 ways
Answer:
x = 36 and y = 28
Step-by-step explanation:
Let she sells x shakes and y doublescoop cones
One day they sold 8 more shakes than scoops, and made $156.
ATQ,
2x+3y = 156 ..(1)
Also,
x = y+8 ..(2)
Put the value of x from (1) to equation (2)
2(y+8)+3y = 156
2y+16+3y = 156
5y = 156 - 16
5y = 140
y = 28
Put the value of y in equation (2)
x = 28+8
x = 36
<em>Hence, they will sell 36 shakes and 28 doublescoop cones.</em>
The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)
To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79
2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67
3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84
4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76
Hope this helps :)
