Answer:
<h2>107 and 73</h2><h2 />
Step-by-step explanation:
supplementary angle
7x + 9 + 5x + 3 = 180
12x = 180 - 3 - 9
x = 168 / 12
x = 14
plugin x=14 into the equation
= 7x + 9
= 7(14) + 9
= 107°
plugin x=14 into the equation
= 5x + 3
= 5(14) + 3
= 73°
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
Answer:
A. 0.0627
B. 8.4%
Step-by-step explanation:
You need to divide by 100 if you want to make the decimal to a percent. If you want to make a percent to a decimal then just multiply by 100.
Answer:
Jacey has 48 rocks. Carter has 6 rocks.
If Carter and Jacey are the only factor owners of 54 rocks
We divide 48 by 8 = 6 rocks: 42 difference;
Which is also 54 as 6 + 48 = 54
They now have 48 difference
6,6, 6,6, 6,6, 6,6 = 48
We see 48 - 6 = 42.
We also see 48 + 6 = 54
54=6 = 48
48 difference is the denominating divider; meaning 48/8 = 6 is how we first find the answer before adding on the 6 to show the difference of 8 equal shares.
Answer:
The third option is correct
Step-by-step explanation:
We can rule out the first option because systems of equations CAN have decimal answers (this certain question cannot because of the domain) Same for the second option.
The last option says that all the numbers of forks knives and spoons must be equal but the question never specified that, in fact it looks like that is impossible since the variables have different coefficients.
The only logical answer is number 3